Calculus - Lesson 13 | Integral of a Function | Don't Memorise

[@InfinityLearn_NEET]

In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other. To learn more about Calculus, enrol in our full course now: bit.ly/CalculusBasics_DM To watch more videos related to Calculus, click here: bit.ly/CalculusBasics

[@anilsharma-ev2my]

what this means ❓❓❓ we require the cables which shows total length of distance between them 😃😃😃😃😃

[@sulochanawadalkar8747]

Awesome I tried it by myself and failed because I used it for e^x

[@Sachin03-l2j]

May be newton & libniz

[@treasureobasuyi894]

Bom! Eu quero ser uma engenheira eletrica

[@convergentradius]

Hyperbolic trigonometric function cosh(x)

[@inuka6969]

For those who don't get 4:29 simplification. 2x + (2+x)x + (2+2x)x + ... + (2+(n - 1)x)x) x( 2 + (2+x) + (2+2x) + ... + (2+(n - 1)x) ) x( 2 + 2 + x + 2 + 2x + ... + 2+(n - 1)x ) there are 'n' times of terms. So there are 'n' times of 2s So we can get additions of all 2s as '2n' x(2n + x + 2x + ... + (n - 1)x) x(2n + x(1 + 2 + ... + (n-1) ) ) 2nx + x^2 (1 + 2 + ... + (n-1) ) 2nx + (1 + 2 + ... + (n-1))x^2

[@sayyadaaqifali6772]

Thanks 👍😊

[@KM-om1hm]

Lol, these are students of class 12th, not 5th

[@IsturisMasaya]

Thanks, this is exactly what I was looking for

[@inuka6969]

@@IsturisMasaya 😅🌟

[@inuka6969]

@@KM-om1hm 🙂

[@boominadharshankarunakaran7979]

after watching your videos I have no doubts in calculus,thank you don't memorise

[@abhinavchauhangujjar6456]

This is very intuitive, great work 👏👏👏

[@InfinityLearn_NEET]

Thank you:)

[@joepaz9529]

This just left me more confused than I was before. Why would you skip steps in an online video? You have the latitude to explain each step and you chose to skip steps? wow

[@Sandeepaage]

Real online learning!

[@Christopherdrums]

I love this channel

[@prosp3421]

This is awesome. At 5:07, how did u simplify btw...like how did n get out of the bracket?

[@sakshamtyagi6527]

Yes both will work because when n tends to infinity, ∆x will approach 0. It will make no difference in the answer because adding or subracting 0 from any number gives the number itself in both cases.

[@aderonkeadeniyi2428]

2:05 2:05 2:06 2:06

[@aderonkeadeniyi2428]

WE Are LEARNING CACULUS 1:39 1:40

[@jns2219]

Can you pls release the videos more frequently 🙏.BTW loved ur videos . It's on par with those paid videos out there😉

[@arandompersononyoutube3739]

4:05, Δx=4/n so n(Δx) = 4, how can you write f(2+(n-1)Δx)

[@mohitoshdeb6579]

it's because it's just the previous point of nth division, f(2+ndx)=6 which is the upper limit height for the nth rectangle f(2+(n-1)dx) is the height of lower limit for nth rectangle.

[@chauhanmckd]

Mam please derive the expression 2n(delta x) + (1+2+3+.......n-1)(x²)

[@madhavmlv9499]

Thank you ❤

[@InfinityLearn_NEET]

You're most welcome. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos. 😊😊

[@madhavmlv9499]

@@InfinityLearn_NEET Definitely I do Watch Regularly Your videos Madam.😊😊

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[@bikdigdaddy]

What you writing? Bomb recipe?

[@reemoneemo1373]

@@bikdigdaddy so funny.... stf

[@prabhat_singh_dhapola]

@@bikdigdaddy 😂😂😂

[@fortfanop]

4:31 I didn't quite understand the simplification. Anyone pls help?

[@فرحانعليجبيربهار]

They mutiplied the ∆X outside the brackets with the outside of brackets then they made the total number of x values to be n

[@amarjudo1537]

Timing 6:22 how you can simplifies those equation into Sn = 16 - 8/n Could you please explain me..

[@swayamjha3988]

this equation only implies for thid function not for every case or function

[@anjurawat1635]

Did you find out

[@vani5466]

1÷infinity is 0

[@im-Anarchy]

n(n-1) will become n^2 when n becomes infinitley large

[@AlexCaie-m4g]

I keep getting 8n^2, I'm terrible at simplifying. Does anyone know how?

[@realeyes8199]

4:29 I have no idea how you simplified that(3rd step) :(

[@inuka6969]

2x + (2+x)x + (2+2x)x + ... + (2+(n - 1)x)x) x( 2 + (2+x) + (2+2x) + ... + (2+(n - 1)x) ) x( 2 + 2 + x + 2 + 2x + ... + 2+(n - 1)x ) there are 'n' times of terms. So there are 'n' times of 2s So we can get additions of all 2s as '2n' x(2n + x + 2x + ... + (n - 1)x) x(2n + x(1 + 2 + ... + (n-1) ) ) 2nx + x^2 (1 + 2 + ... + (n-1) ) 2nx + (1 + 2 + ... + (n-1))x^2

[@harlbertmayerh7523]

@@inuka6969 Wow! Thanks bro!

[@default-126]

@@inuka6969 Thank you so much!

[@inuka6969]

@@harlbertmayerh7523 XD

[@harlbertmayerh7523]

@@inuka6969 wow XD

[@prosp3421]

Please why is the nth term here n-1 and not just n?

[@vishalchoudhary1662]

Please upload a video on reduction formulae

[@hemsingh6785]

How can it is so easy you should teach in my institute😘😘😘😘

[@Bell-ih5ln]

I really don’t know how you simplified the expression to 16-8/n

[@padmavathy7809]

How 4/n is the width of the subinterval?

[@swayamjha3988]

4n not always woulf be the width of sub interval. Actually, xn(which is last x coordinate of the shape you decided to find area) and x0(which is first x coordinate of the shape) and xn-x0/n gives width of sub interval Hope you understand:)

[@harshal4587]

Why you changed name!? 'Don't memories' was best..

[@AlessandroZir]

❤️❤️❤️🤸

[@Jerry-td6tw]

It can save from deadly exams

[@anilsharma-ev2my]

Integrated xdx on and on so at infinity what will we get ?

[@anilsharma-ev2my]

@@anshc838 it's make sense ❓❓❓❓❓❓ what is reverse of nonsense❓❓❓❓

[@draupadifanclub3327]

Can you give the steps that how from Sn=2n( 4 /n )+ n(n-1) /2 ( 4 n )^ 2 you got Sn=16-8/n

[@deepakbellur9676]

The boundaries of the curve under consideration is between 2 and 6 i.e. (6-2)=4 And this 4 is divided into 'n' parts to get each dx. Therefore dx=4/n Once you understand this, the rest can be got by simple algebraic multiplication and cancelling.

[@im-Anarchy]

n(n-1) will become n^2 when n becomes infinitley large

[@swayamjha3988]

can you please make videos about mysteries of the cosmos like Time Space and Light

[@xMaster_96]

Lol

[@Amit_Pirate]

It's an explanation channel and mystery theme doesn't suit it.

[@TomatoExpress24]

how sn=16-8n

[@rudransharora6588]

Trapezoid 💀💀

[@amadventure6356]

please make more videos

[@jyotijoshi9547]

Great

[@haraniraj1761]

4.30 3 equation not understanding

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[@nksingh2184]

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