WOW... hope this record gets acknowledged and you get an entry in the guiness book of world record. And the person Lars mentioned in the video is me, so thank you so much bprp, and thanks to all others wishing me well. I finished the first of 3 chemo rounds, and apart from about 2-3 days, I did quite well on it. If things go well with chemo, I could be free from cancer by the end of April.

Fun fact: the uploading time for this was 12 hours. Support this channel and get my notes on Patreon: www.patreon.com/posts/files-to-my-100-95153770?

If you watch the video reverse, you learn the derivative.

*finally finishes* 'press "start" to begin recording'

I love that you didn't just solve them, you also explained everything!

My man never forgotten to put the “dx” and “+C”

When mom says you can watch one more video before going to bed

prof: "this exam is designed to only take 1 hour" the exam:

it's MY sleepover and I get to choose the movie

My man did *Math* for close to 6hrs straight. *RESPECT **_100_*

Time stamps! Here are the time stamps: [Q1 to Q25, myself] Q1 Integral of tan^5(x)*sec^3(x), 2:19 Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58 Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00 Q4 Integral of (x+e^x)^2, 12:00 Q5 Integral of csc^3(x)*sec(x), 14:00 Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 Q7 Integral of 1/sqrt(e^x), 23:38 Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 Q9 Integral of 1/(x+sqrt(x)), 32:04 Q10 Integral of abs(x-3) from -1 to 5, 34:39 Q11 Integral of sin(x)/sec^2019(x), 37:19 Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 Q13 Integral of 2sin(x)/sin(2x), 43:06 Q14 Integral of cos^2(2x), 45:36 Q15 Integral of 1/(x^3+1), 47:55 Q16 Integral of x*sin^2(x), 1:01:07 Q17 Integral of (x+1/x)^2, 1:04:45 Q18 Integral of 3/(x^2+4x+29), 1:06:00 Q19 Integral of cot^5(x), 1:08:08 Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 Q21 Integral of sin^3(x)*cos^2(x), 1:13:43 Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15 Q24 Integral of sec^3(x), 1:21:30 Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 [26 to 51, thanks to GaMeR 123] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 [Q52 to Q101, BIG thanks to Angel Mendez-Rivera] Q52, Integral of 1/(5x - 2)^4, 2:55:51 Q53, Integral of ln(1 + x^2), 2:57:18 Q54, Integral of 1/(x^4 + x), 3:00:42 Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 Q56, Integral of x·sec(x)·tan(x), 3:05:08 Q57, Integral of arcsec(x), 3:06:45 Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 Q59, Integral of (x^2)sqrt(x + 4), 3:14:46 Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 Q61, Integral of sqrt(x^2 + 4x), 3:25:10 Q62, Integral of (x^2)e^(x^3), 3:36:48 Q63, Integral of (x^3)e^(x^2), 3:37:27 Q64, Integral of tan(x)ln(cos(x)), 3:39:55 Q65, Integral of 1/(x^3 - 4x^2), 3:42:11 Q66, Integral of sin(x)cos(2x), 3:50:00 Q67, Integral of 2^ln(x), 3:58:06 Q68, Integral of sqrt(1 + cos(2x)), 4:01:21 Q69, Integral of 1/(1 + tan(x)), 4:02:40 Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13 Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30 Q73, Integral of (sin(x) + cos(x))^2, 4:14:10 Q74, Integral of 2xln(1 + x), 4:16:00 Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34 Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48 Q77, Integral of x^(x/ln(x)), 4:27:52 Q78, Integral of arcsin(sqrt(x)), 4:29:12 Q79, Integral of arctan(x), 4:39:16 Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32 Q81, Integral of sin(1/x)/x^3, 4:44:11 Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18 Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49 Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17 Q85, Integral of arctan(x)/x^2, 4:56:12 Q86, Integral of arctan(x)/(1 + x^2), 5:00:28 Q87, Integral of ln(x)^2, 5:02:32 Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39 Q89, Integral of sqrt(x + 4)/x, 5:13:46 Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 Q91, Integral of x/(1 + x^4), 5:19:13 Q92, Integral of e^sqrt(x), 5:20:07 Q93, Integral of 1/csc(x)^3, 5:21:37 Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 Q95, Integral of sqrt(1 + sin(2x)), 5:24:58 Q96, Integral of x^(1/4), 5:26:22 Q97, Integral of 1/(1 + e^x), 5:27:47 Q98, Integral of sqrt(1 + e^x), 5:29:13 Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39

the way he switches between the black and red marker while solving is impressive

Y'all are impressed he's solving 100 integrals, I'm impressed how this man is standing for 6 hours straight

"You only have 6 hours left before the integral exam!" *watches this video

Doctor: “You have 5 hours 50 minutes and 22 seconds left to live... Use it wisely” Me:

Thank you Professor Steve Chow.

I, on the other hand, can do 1 integral in 100 takes!

If I ever did this much math I would probably ascend to astral dimension

this man really did 100 integrals, THEN HE DID 101. LEGENDARY

This is by far the best maths video here on KZbin!!! It's like a tough training session at the maths gym!!!🤩🤩🤩

The fact that he explained every integral with a detailed step by step rather than doing some of the steps in his head is crazy to me. Great job man, truly showing how math can be enjoyable

The fact that you explained every step makes this video even cooler because this is also helpful to anyone who struggles with integrals. You're a God

2:18:15 - "We are all adults now, so we don't have to worry about square roots on the denominator." I felt that. Thank u

I love the energy, u can see how he loves what he does. Respect

The best thing about this guy is that he take the time to explain every steps of the calculation, that's amazing

Am I the only one that's impressed by how fast he changes between markers.

I miss one class. My professor:

Man it would be so much easier for him if he didn't need to explain while doing. Big respect

1, Integral of tan^5(x)*sec^3(x), 2:19 2, Integral of cos(2x)/(sin(x)+cos(x)), 5:58 3, Integral of (x^2+1)/(x^4-x^2+1), 8:00 4, Integral of (x+e^x)^2, 12:00 5, Integral of csc^3(x)*sec(x), 14:00 6, Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 7, Integral of 1/sqrt(e^x), 23:38 8, Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 9, Integral of 1/(x+sqrt(x)), 32:04 10, Integral of abs(x-3) from -1 to 5, 34:39 11, Integral of sin(x)/sec^2019(x), 37:19 12, Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 13, Integral of 2sin(x)/sin(2x), 43:06 14, Integral of cos^2(2x), 45:36 15, Integral of 1/(x^3+1), 47:55 16, Integral of x*sin^2(x), 1:01:07 17, Integral of (x+1/x)^2, 1:04:45 18, Integral of 3/(x^2+4x+29), 1:06:00 19, Integral of cot^5(x), 1:08:08 20, Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 21, Integral of sin^3(x)*cos^2(x), 1:13:43 22, Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 23, Integral of sin(x)*sec(x)*tan(x), 1:20:15 24, Integral of sec^3(x), 1:21:30 25, Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 Thanks to GaMeR 123 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of log(x) base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanh(x) 47. 2:40:59 integral of sech(x) 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 BIG thanks to Angel Mendez-Rivera 52, Integral of 1/(5x - 2)^4, 2:55:51 53, Integral of ln(1 + x^2), 2:57:18 54, Integral of 1/(x^4 + x), 3:00:42 55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 56, Integral of x·sec(x)·tan(x), 3:05:08 57, Integral of arcsec(x), 3:06:45 58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 59, Integral of (x^2)sqrt(x + 4), 3:14:46 60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 61, Integral of sqrt(x^2 + 4x), 3:25:10 62, Integral of (x^2)e^(x^3), 3:36:48 63, Integral of (x^3)e^(x^2), 3:37:27 64, Integral of tan(x)ln(cos(x)), 3:39:55 65, Integral of 1/(x^3 - 4x^2), 3:42:11 66, Integral of sin(x)cos(2x), 3:50:00 67, Integral of 2^ln(x), 3:58:06 68, Integral of sqrt(1+cos(2x)), 4:01:21 69, Integral of 1/(1+tan(x)), 4:02:40 70, Integral of sqrt(1- ln(x)^2)/x from 1/e to e, 4:07:13 71-72, Integral of 1/(cbrt(x)+1) & Integral of 1/cbrt(x + 1), 4:10:30 73, Integral of (sin(x)+cos(x))^2, 4:14:10 74, Integral of 2xln(1 x), 4:16:00 75, Integral of 1/(x(1+sin(ln(x))^2)), 4:19:34 76, Integral of sqrt((1-x)/(1+x)), 4:25:48 77, Integral of x^(x/ln(x)), 4:27:52 78, Integral of arcsin(sqrt(x)), 4:29:12 79, Integral of arctan(x), 4:39:16 80, Integral of f(x) from 0 to 5, f(x) is a piecewise function, 4:41:32 81, Integral of sin(1/x)/x^3, 4:44:11 82, Integral of (x-1)/(x^4-1), 4:47:18 83, Integral of sqrt(1+(x-1/(4x))^2), 4:52:49 84, Integral of e^tan(x)/(1-sin(x)^2), 4:55:17 85, Integral of arctan(x)/x^2, 4:56:12 86, Integral of arctan(x)/(1+x^2), 5:00:28 87, Integral of ln(x)^2, 5:02:32 88, Integral of sqrt(x^2+4)/x^2, 5:06:39 89, Integral of sqrt(x + 4)/x, 5:13:46 90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 91, Integral of x/(1 + x^4), 5:19:13 92, Integral of e^sqrt(x), 5:20:07 93, Integral of 1/csc(x)^3, 5:21:37 94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 95, Integral of sqrt(1 + sin(2x)), 5:24:58 96, Integral of x^(1/4), 5:26:22 97, Integral of 1/(1 + e^x), 5:27:47 98, Integral of sqrt(1 + e^x), 5:29:13 99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39 I only copied from the description of the video, for easy access. Thanks for the likes, they were not necessary. 👋

"As we all know" no, i didnt

respect man, only the elite can put this much dedication and effort into teaching.

When you cram the entire set of past exam problems the night before an exam

Please, differentiate all the results in one take to check

Other time stamps (26-61)[1-25 are in description] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinhx 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 52. 2:55:39 integral of 1/(5x-2)^4 53. 2:57:11 integral of ln(1+x^2) 54. 3:00:38 integral of 1/x^4+x 55. 3:02:59 integral of (1-tanx)/1+tanx 56. 3:04:54 integral of xsecxtanx 57. 3:06:32 integral of sec inverse of x 58. 3:11:13 integral of (1-cosx)/1+cosx 59. 3:14:38 integral of x^2*sqrt(x+4) 60. 3:18:18 integral of sqrt(4-x^2) from -1 to 1 61. 3:24:57 integral of sqrt(x^2 + 4x)

Ive got a calc 2 final in a few days, this is super helpful so far pray for me yall, this final gonna hurt

This can also be a record for the longest time holding a microphone in one hand.

"Okay, good practice, now i'll start the recording"

why there's no one talkin' bout his marker switching skill?!?! magnificent.

Successfully completed solving 100 integral ..10 each day ....Got lot to learn and practice....Thank u so much for this fabulous content of math!

it’s honestly such a wonderful thing to see that he is still liking comments to this day. that is so rare nowadays, i appreciate people like you and there’s needs to be more. ❤️

His shirt ain't lying

wtf.. he also explain his steps for every question...

this was probably the first time I was smiling while doing math.... ur smile is contagious man .... loved it

I love how he’s already figured out how to do the integral before he’s even finished writing it on the board, but he’s explains what he’s doing for our benefit. What a legend.

This guy is representing my parent imaginations of me before I was born.

Dear Lars, I am sending my best wish to you. Get well soon!

This is probably one of the most insane video have seen on this platform. Shout out to you bro👏🙌

How could you dislike this video. This guy makes me so happy. The way he says how much he loves his gf and sends wishes to the guy battling cancer warms my heart. He is truly a magical mathematician, and a marvellous human being

His goal : Claiming a world record What he ended up doing : Teaching me how to integrate quickly

Man has got an arm of steel, he held that ball thing for like 6 hours. Literally cracked.

Thank you. For the exercise 31 you've made -2*2=1; the response is -4*square(1-square(x)) + c. I think it's because tiredness. Anyway thank you for your work.

someone : so, what do you eat every morning ? me : a bowl of cereals this guy : a bowl of integrals

the way he switches the markers is amazing

Mom: "Why are you inside this bathroom like 5 hours?!" Me: "You could'nt understand"

I just completed all 100 integrals took me a couple of days since I recently only started integration. Love you BPRP ❤️

*Don’t even know what an integral is but this is cool*

Guess we found a new challenge for Mr. Beast

Here are the time stamps: [Q1 to Q25, myself] Q1 Integral of tan^5(x)*sec^3(x), 2:19 Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58 Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00 Q4 Integral of (x+e^x)^2, 12:00 Q5 Integral of csc^3(x)*sec(x), 14:00 Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 Q7 Integral of 1/sqrt(e^x), 23:38 Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 Q9 Integral of 1/(x+sqrt(x)), 32:04 Q10 Integral of abs(x-3) from -1 to 5, 34:39 Q11 Integral of sin(x)/sec^2019(x), 37:19 Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 Q13 Integral of 2sin(x)/sin(2x), 43:06 Q14 Integral of cos^2(2x), 45:36 Q15 Integral of 1/(x^3+1), 47:55 Q16 Integral of x*sin^2(x), 1:01:07 Q17 Integral of (x+1/x)^2, 1:04:45 Q18 Integral of 3/(x^2+4x+29), 1:06:00 Q19 Integral of cot^5(x), 1:08:08 Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 Q21 Integral of sin^3(x)*cos^2(x), 1:13:43 Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15 Q24 Integral of sec^3(x), 1:21:30 Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 [26 to 51, thanks to GaMeR 123] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 [Q52 to Q101, BIG thanks to Angel Mendez-Rivera] Q52, Integral of 1/(5x - 2)^4, 2:55:51 Q53, Integral of ln(1 + x^2), 2:57:18 Q54, Integral of 1/(x^4 + x), 3:00:42 Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 Q56, Integral of x·sec(x)·tan(x), 3:05:08 Q57, Integral of arcsec(x), 3:06:45 Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 Q59, Integral of (x^2)sqrt(x + 4), 3:14:46 Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 Q61, Integral of sqrt(x^2 + 4x), 3:25:10 Q62, Integral of (x^2)e^(x^3), 3:36:48 Q63, Integral of (x^3)e^(x^2), 3:37:27 Q64, Integral of tan(x)ln(cos(x)), 3:39:55 Q65, Integral of 1/(x^3 - 4x^2), 3:42:11 Q66, Integral of sin(x)cos(2x), 3:50:00 Q67, Integral of 2^ln(x), 3:58:06 Q68, Integral of sqrt(1 + cos(2x)), 4:01:21 Q69, Integral of 1/(1 + tan(x)), 4:02:40 Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13 Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30 Q73, Integral of (sin(x) + cos(x))^2, 4:14:10 Q74, Integral of 2xln(1 + x), 4:16:00 Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34 Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48 Q77, Integral of x^(x/ln(x)), 4:27:52 Q78, Integral of arcsin(sqrt(x)), 4:29:12 Q79, Integral of arctan(x), 4:39:16 Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32 Q81, Integral of sin(1/x)/x^3, 4:44:11 Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18 Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49 Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17 Q85, Integral of arctan(x)/x^2, 4:56:12 Q86, Integral of arctan(x)/(1 + x^2), 5:00:28 Q87, Integral of ln(x)^2, 5:02:32 Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39 Q89, Integral of sqrt(x + 4)/x, 5:13:46 Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 Q91, Integral of x/(1 + x^4), 5:19:13 Q92, Integral of e^sqrt(x), 5:20:07 Q93, Integral of 1/csc(x)^3, 5:21:37 Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 Q95, Integral of sqrt(1 + sin(2x)), 5:24:58 Q96, Integral of x^(1/4), 5:26:22 Q97, Integral of 1/(1 + e^x), 5:27:47 Q98, Integral of sqrt(1 + e^x), 5:29:13 Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39

Wow, this truly cuts deep. My father was a mathematician before his passing, and he always wanted me to become a great man with a prosperous future in math. Everyday I look forward to your videos as they give me memories of my father working late at night. Thank you.

My man not only done 100 integrals in 6 hours but he held his mic in his hand the entire time, true goat.

Can we just appreciate 1: this mans insane math skills, 2: the fact he has 2 markers in 1 hand while maintaining coherent writing, and 3: the fact he explains *every single problem* so well that my small brain can understand it.

is it just me impressed by the way he changes the colors ?

I'm studying for a re-take of my calculus final that my professor was generous enough to provide. I'm extremely concerned because it's my last chance to get an A and I feel like this video is a great immersive way to make sure I've grounded every single method. Today is Day 2 of going through this video. I've done up to 20 questions so far. I'll be editing this comment to hold myself accountable. #5 was seriously a rough one, but even that problem was possible to solve with your step-by-step guidance. Thanks for everything, BPRP! Edit: I've made it up to 30 questions. I was really confident about #28 at first, but I had to watch the explanation several times to actually understand it. Are we just supposed to memorize when sec^3(theta) is integrated into and then replace those values by returning to the "x world"? A bit confusing, but memorization of an equation is no problem. We'll see how it goes tomorrow. (Could someone tell me HOW BPRP knew to write sin at 1:55:24 ? That means that he put "u" as cosine, right? Because the sqrt (1 - cos^2x) = sin x. But how did he decide to set "u" equal to cos and thus, get sin (or inverse sin, I guess) in his final answer? Edit: We've made it all the way to 46 questions and although I'm so close to the halfway mark, I can't bring myself to do another integral. Again, BPRP is amazing! I hadn't solved sinh(x) and cosh(x) questions in a long time so this was a really good refresher. Also, #40 was so challenging and I can't believe that someone would CREATE and SOLVE it voluntarily. I have no words. We will pass halfway tomorrow!! Edit: Today is a review day. I've made it to 50 and now, I'm going to attempt 1~25 on my own- without any help unless I really need it. #48, 49, and 50 were incredibly thorough. I don't think that we will be tested on tanh(x) or sech(x) questions, but since they're included in this video, I feel prepared. Honestly, I've only done halfway and I had a span of 5 days. It's crazy how BPRP did of this in roughly six hours. Edit: We've made it to 63. Not gonna lie, I'm getting pretty sick of integrals. I feel like 60 should be plenty of practice and I'm not exactly sure why I'm putting myself through this. We will try to push to 70 tomorrow. Yeesh. We made it to 70. I feel like giving up now would be pathetic, so I'll keep going. But I am really not enjoying this anymore. Regardless, there are some individual questions that are exciting. I remembered the double angle formula for #68 (around 4:01:00) and it was exciting to be able to solve that one on my own. Tomorrow is my parent's anniversary so I may be busy, but let's aim for 80 !! Agh, almost done Done with 80! To be honest, #72 was quite beautiful to solve, but the rest were painful. Looking forward to being done!!!! Done with 90- we'll be completely finished tomorrow. Can't wait. My stamina needs work :/ FINISHED WITH 100 !!! (Ah I forgot to update) My final is partially going to be on series + finding the radius/interval of convergence as well as integrals, so I've been practicing the 100 series video + other tutorials on KZbin. MIT OpenCourseWare has been a great tool for critical comprehension. I have a bit less than a week until my test, so during the last few days, I'll be making practice exams for myself and solving them in a timed environment. Until then, I'll keep doing 10-20 practice problems per day. (I seldom prepare this far in advance nor this thoroughly for a test, but honestly this is teaching me great learning habits! Perhaps I'll apply this to my classes during the approaching school year. ) I'll update this comment on how the actual test goes ! The retake went alright! To be completely honest, I didn't get the score I was looking for. I was looking for a 100 so it's a bit shameful to say, but I nearly fucked up again. However, I got a score that was just a few points above the good-enough standard and my grade improved, so I was able to take Linear Algebra this semester and I enjoyed it a lot. (It's way more abstract.. yet easier than Calc II to grasp in my opinion. The applications are a lot more concrete.) Thanks, BPRP :) You're one of the few people who prevent me from entirely despising math.

i love the way he switches markers😂 i know it seems silly but it just shows how passionate and dedicated he is about this. he’s been doing it 4 so long!

When you drop the pin and have to hold the grenade for 6 hours.

Finishes the last integral and then realizes it wasn't being filmed.

this is probably, one of the best videos I'll ever get to see in my whole life

He has ascended to the level of math god

My maths teacher failed to teach me integrals during a six-week course but you did it in less than six hours!

Support from India..... I did all the sums with you!!! Felt great! 10 Am-4 PM!!!!

bro you're legit a legend, keep grinding! you helped me out a lot.

Imagine if he forgot to hit the record button

I ACTUALLY UNDERSTAND WHAT HES DOING :)))). I tried watching this last year prior to taking calc 1, but since i already took it, i understand now. THIS IS ACTUALLY KINDA FUN TO WATCH!

4:56:20 5 hours in and you still manage to get a joke in there hahaha..love this so much

I am not a big Math guy and do not get much time to practice. So I appreciate you solving them while explaining it. Helps us a ton!

Student: How to do this integral please ? blackpenredpen: Just watch my 6 hours long video, it must be somewhere in it

This guy is the asian Bob Ross of calculus

-Who is the most beautiful woman in your life? -My mom -... - 4:30:30

I dont really appreciate you are doing lots of integrals, but the way you are doing with interest and arousing creativity, I really really appreciate that.

This is someone who truly loves what they teach, spends nearly 6 hours straight solving integrals and explaining each step for each one

There's so many good moments in this video. He asks how I'm doing, checks up and says the video is for Lars numerous times, just what a nice guy overall. Actually watching this video over the course of a week lord help me...

Differentiation is applying the right rules but integration is an art.

I subscribed because you deserve the world for this feat

can’t thank you enough man you’re truly a blessing. if all math professors had this same level of dedication to teaching their students math would almost be easy. thank you for all your hard work boss we appreciate it!

Now verify all the integrals with derivative I'm kidding, you are the best

i didn't expect you to walk through each one. Amazing job

i love that when he says "integration by parts!" with a long face lol

The fact that he explains every calculation , is just insane

I never thought I could learn so much in such little time. Gifted teacher, thanks for the dedication. Legend for explaining everything.

OMGGGGG, this is insane, I wish I could like this over 100 times 😍😍😍

I don't know how I am only watching this now but man you are nuts. Love your videos so much, I learned so much from this. Thank you.

You've become a talking point in my college maths department for tge incredible stuff you do.

At around 3:00:10 you asked how I am doing Man, it's been a rough couple of weeks. It feels like the university doesn't wanna test what I know, but instead they wanna see if they can catch me out on things I don't know well enough. It's overwhelming and difficult to stay ahead of the workload, but I'm staying positive and doing my best all the way. They'll never get me down. Thank you for asking. How are you doing?

3:36:12 “so, take a look”’... just for 1 second, like my teacher.

Hello, I am a 15 year old math lover. I'm very interested in integration and your channel is really great! Thanks for your videos :D

This is the quality content that I subscribed for

nobody: youtube: 100 Integrals (World Record?)

This is the first time in 2 years that I'm actually starting to 'think' when solving integrals. Up to recently it was just a kind of 'go with the momentum' way of solving, or a painting by numbers style where I was going by purely the 'standard' way of approaching simpler integrals, which often led to walking into dead ends. Now I'm actually trying to see how to approach things thanks to watching your thought process. And it has started to work because, going into my lecture handouts I'm able to solve a lot of the integrals much more easily than before and I'm actually aware of 'why' I'm choosing a particular strategy. I know I 'rant' but I can't thank you enough for how much this is helping me. I was losing my mind and now I've started to enjoy this subject again and the magic of maths is returning.

Man, i cant explain how thankful i am to you, its been a nighmare reopening notes because mostly you dont have a clue of whats going around, but from now on i will watch this video time to time for revision, THANKS

The fact he can switch so fast between the 2 pens is more amazing than the integrals