How to Integrate Odd & Even Powers of Sine & Cosine : Math Problems & Trigonometry

[@freakingik2781]

Integral of cos4x/2 give u 1/8*sin4x but urs gave u 1/32*sin4x am I confuse or u are wrong at that side? 7:18

[@pred8394]

1/8

[@lavkeshrocky2186]

Best explanation

[@dimosthenisvallis3555]

Damn. ty very much. i was trying the even one for a day now and making a mistake at the final substitution and couldnt get the right answer to the sin to the 6th power integral. Now its done thnx

[@leroyhunter1411]

One question, in the fifth line of the odd function example where you have du (cos x) is it the differentiation of u (sin x)?

[@captainball17]

Yes it is

[@deepakchavan7105]

Lot of thanks to give a answer in very simple way

[@wasp4256]

Instructions unclear ended up solving hyperpola equations instead

[@tambuwalmathsclass]

I gained something 💪

[@kalmahnalyd4615]

Thanks for this awesome tutorial...really helped

[@rileynobles7146]

Good Job! just what I needed.

[@TengenDaniella-wn5lg]

Thank you... This video is of great help to me.

[@SuperBatmeg1996]

Where did the 1/32 come from? That's the only thing I don't understand. Please reply. 😭😭😭

[@muthanasurvy6520]

Thank u , it’s perfect explain . Please go on with new videos

[@ezekielignas2424]

Thanks much for your simplifications

[@nivatampa]

Thank you, it really helped... Keep up the good work :)

[@Mrhitechmystery]

Wait where did the 1/32 sin come from and where did the cos(4x) come from? Confused over at those parts when she spoke about the odd powers of sine and cosine

[@edrivera7283]

it's u substitution; u = 4x du = 4dx

[@sebp3249]

the cos(4x) came because in the formulae cos(X)^2 (notice it is only a single X term) = ... cos(2X)/2. Now if you change X to 2X then the term cos(2X)^2 would = ... cos(2 x 2X)/2 ie cos4x.

[@Manny2cute]

I have actually fallen in love. Not only have you elucidated a topic in which I struggled with so dearly, but you are also one of the most beautiful women I've ever seen.

[@ashistoxic8447]

bro 💀

[@cyprianchipipa727]

😂 damn

[@cosmickitty9533]

Thanks so much for explaining BOTH ways! :)

[@jmarkfavoured]

you are extra pretty up the brain than physical figure nice one thanx alot

[@lwangarichard1380]

Its really genius

[@bltoliver13]

THANKS

[@chandraprakashlavas3717]

it amazing ,and helping my study upload more videos

[@nahudanalfaidi9897]

Nice one!

[@miguelmag]

Thanks Greetings from Colombia ☺

[@veerand7038]

can you explain why did the -1/2 turn into -1/4 in @6:22

[@brittneymiles5166]

the integral of cos(2x) is 1/2sin(2x) and so when you multiply the -1/2 with the 1/2 from the inside the integral, you will get -1/4sin(2x)

[@jasenlei2676]

i dont understand how she says subts u in the even power part can anyone help me?

[@valentinlumoo1241]

Thank you so much! good job

[@عمرفواز-ز1د]

Hello can you sol Integral this (sin^4 cos^4)

[@elmastermaestr]

Wow thanks that was really usefull

[@zafarfarooq5532]

it is good video but i need some easy trick for high order integration

[@TheReaIOptimusPrime]

where did 1/32 come from at 7:20 ?

[@uhuihiuhuihi]

To evaluate 1/4 integration [(1/2 + cos(4x))/2] dx Factor out the 1/2 since it's common in both terms, and bring it to the front of the integral. Multiply the 1/4 and 1/2 to get 1/8 So you have 1/8 integration [(1 + cos(4x))] dx The integral of dx is x, the integral of cos(4x) dx is 1/4 sin(4x) So now you have 1/8 [ x + 1/4 sin(4x)] Distribute the 1/8 back in to get: 1/8x + 1/32sin(4x)

[@knowledgejunctionterminal4080]

Love from odisha

[@azatinalkoc4780]

İm study college in turkey but this subjects too easy for me please give our more hard

[@BasketOFmuffins]

why do these problems look so easy but they seem twice as hard when I actually try to solve them. :( im stuck on sin^3(x)cos^2(x)dx and I can't get the correct answer.

[@Mohammad-lf1ej]

King Jank Tell me, have you got the right answer?

[@tanya-uj4yq]

thank youuuu

[@saadallaabdalla8383]

intergration by trigonometric function

[@J4YP33z]

thanks

[@knowledgejunctionterminal4080]

Love Frome Indian

[@mcbchackermuua3495]

Havas ke samandar saale sudhar ja

[@RegivanAndrade]

Eugenius(Its explained) Brock! :D

[@boshbigcat9619]

last one i guess 1/16 sin(4x)

[@Garcia.Emilio]

GReat Video

[@Rmcd97]

Did she forget about the cosx from line 4when she moved to line 5?

[@pinguNeko]

She substitutes in du which is equal to cosx dx (she forgot the dx in the cos dx on the right side [look into implicit differentiation])

[@alvinlepik5265]

whoa whoa whoa - the antiderivative of cos2(x) isn't sin2(x)

[@Gertemans]

nope, but the antiderivative of cos(2x) is 1/2sin(2x), tah, friggin' dah

[@harithalsamarai119]

I love you😘😘

[@user-up4ky7gz4y]

Tнanĸ yoυ

[@shashankthapa659]

eat rich food you grow a little fatter.

[@EzzaldinFaisal]

طالب هندسة 😅

[@meshachkoech2979]

shud I look at the teacher or the work. u r beautiful ma'am

[@shrimatkapoor2200]

Who the hell says "thirty second" yuck

[@jano4685]

First of you are really attractive, maybe i have a math girl fetish😅

[@832aftab]

you are cute...!

[@MrBorderlands123]

Neckbeard intensifies.