Thanks for the comments you guys. I spent the rest of my evening record/edit this video: DI method explained! kzread.info/dash/bejne/ZH1hwbWPaMbdo9o.html

I love the way you set up the integration by parts with the red pen on the left. It beats trying to remember the formula.

thank you for your videos. keep making them! p.s. that microphone is awesome.

Thank you soo much brooo...Ive learned some new techniquz for integration like this...Apreciate your effort ❤

I think I like Dr Peyam's solution better but knowing the "proper way" is always nice too

Hello bro, y como sería esta integral: x*tan(x)dx .

Thanks for uploading,You sir are a hero!!

Love the way how you teach! It helped me a lot. Keep it up! GOD BLESS U!

Van you make a video and show how to integrate aretan sqrt x .

How would I do xsin^-1x ?

sir you're awesome.. i now have another teacher ..thanks sir for the great effort for your every video

Thank you veryyyy much!! It helped me alot, keep it up!

Svp j'ai besoin la solution de ce intégrale 1/(x^2015+1) *(x^2+1) DX

You are very clear in you explanation keep up sir.

Thank you...this really helped me

Thanks for making math less stressful

Thanks again buddy! You are the best!

great teaching, thanks!

You're the best, really.

You just saved me from my finals

Love you sir.....it help me alot

it can be nicely done by letting A=arctanx, so x=tanA, dx=(secA)^2 dA, then follow smoothly

Thank you so much

Here it would be better to choose 1/2(x^2+1) as antiderivative of x

Very clever! I need the same integral but with x squared instead of the lineal x

@ChrisMMaster0

Жыл бұрын

I know this is 5 years old but I really wanted to solve this. At first I really overcomplicated it trying to integrate tan^-1(x) THREE TIMES but then I figured it out. Int( x² arctan(x) ) dx ~ Integration by parts: D I + arctan(x) x² - 1/(x² + 1) ⅓x³ = ⅓x³ arctan(x) - ⅓ int( x³/(x² + 1) ) dx ~ u substitution: - ⅓ int( x³/(x² + 1) ) dx u = x² + 1 du = 2x dx dx = du/2x - ⅓ int( x³/u ) du/2x - ⅙ int( x²/u ) du x² = u - 1 - ⅙ int( (u - 1)/u ) du - ⅙ int( u/u - 1/u ) du - ⅙ int( 1 - 1/u ) du - ⅙( u - ln|u| ) Substitute back for x: - ⅙( x² + 1 - ln(x² + 1) ) //no need for absolute value since x² + 1 is always positive.// Solution: Int( x² arctan(x) ) dx = ⅓x³ arctan(x) + ⅙ln(x² + 1) - ⅙x² - ⅙ + C

I love you sir

thankyou u safe ma life

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Love it ❤️❤️

Thanks a lot

The GOAT!

Thank you so much sir❤❤ (from india)

Awesome as always but only à recommendation put arctan also in the title because some people dont use tan^1 connotation

@gr1nder07

7 жыл бұрын

True, but if your at the point in your mathematical schooling where your learning calculus 2, its expected that you know the basics of trig, algebra and geometry that you learn earlier. knowing tan^-1 = arctan is like knowing 1/x=x^-1.

Sir ur method is easy and remembarable but can u plz solve the problem by using i late plzzzz

Thanks you very muchhhh

Thank you

Why you are not using pocket mic 🎤... itz make you comfortable

May Allah reward you well❤️🇧🇩

Yeah all simple integrals but what about the integral of xtanx*dx?

@blackpenredpen

7 жыл бұрын

why not integral of ln(x*tan(x)) dx : )

@ernestschoenmakers8181

7 жыл бұрын

Well these integrals have no elementary solutions i think.

WOW!! thanks

Thanks for making it possible........

I prefer to let x = tan w and then dx = (sec w)^2 dw and arctan (tan w) = w. So we now have the integral //(tan w)(w)( (sec w)^2) dw and proceed with integration by parts letting u = (w tan w) and dv = (sec w)^2 dw and v = tan w also du = (tan w + w (sec w)^2) dw. (Note that II use the notation “//“ to denote the integral sign to differentiate it from the single slash used for division.) Then remembering the formula for integration by parts ( //udv = uv - //vdu ) we have the integral equals w ( tan w) (tan w) - //tan w ( tan w + (sec w)^2 dw.

O thanku thanku Mara bhaii

Thnku so very much sir...❤

Thanks for the

woooooow you awesome man eeeuuuii

Thank you sir

why didn't you choose X for differentiation?

@justabunga1

4 жыл бұрын

We use the LIATE method, or detail spelled backwards just without the D, in order to choose which ones to differentiate first and integrate second. The abbreviation stands for logs, inverse trig, algebraic, trig, and exponential. We choose arctan(x) since it was differentiated first and belongs in the D column since arctan(x) is an inverse trig function. x goes in the I column since it is an algebraic function,

Can you please integrate (arctan(x))^2😅

@justabunga1

4 жыл бұрын

It’s non-elementary, but if you’re talking about the complex answer, you can check it out through Wolfram Alpha.

VERY NICE

integral of tan^-1x/x pls solve it sum1

Good job

Can anyone do the integral of tan^-1(x^2)

@justabunga1

4 жыл бұрын

arctan(x^2) is long method, which requires DI method and algebra method combines together. You can find the answer here through Wolfram Alpha, graphing calculator TI-89, SymboLab, or something called integral calculator website.

Very nice

Isn't that the integration of 1/x^2+1 is arctg(x)???

@EarlyMonAF

5 жыл бұрын

tan¯¹ is arctangent

@justabunga1

4 жыл бұрын

You misuse the parentheses here. If you meant the integral of 1/(x^2+1), the answer is arctan(x)+C. The other way is integral of 1/x^2+1 is -1/x+x+C.

Sir please integrate of logx(arctanx)

@justabunga1

4 жыл бұрын

It’s non-elementary.

thank you very much الله يحفظك

@amineaboutalib

7 жыл бұрын

Sofiane Benz HHHHHHHHHHHHHHH duude

@wakeup9738

4 жыл бұрын

😩😁😂😂

Brooooooooooooo my man

Thank's sir

Is the DI method the easiest way sir

@justabunga1

4 жыл бұрын

Yes, it is and saves less time for the examination.

If x is in dividing version!

In the integral of x^2/(x^2+1) I just substituted x = tan (v) hahaha

woooow thumbs up to you

This dude pro👍👍👍

Great

Aunque este en ingles le entendí mas que a mi maestra xd

Thank`s for Brasil.

@blackpenredpen

7 жыл бұрын

You're welcome!

Bro wtf in doing this i forgot the integral of 1/1+x^2 lmfao I was so confused of the answer then i realised that yea im dumb lmao

Yeaaah i did it

Fucking. genius.

U are 2 god

Name of this method?

@hdmtheking7067

2 ай бұрын

Integration by parts

Wow

😍

yeah i knew arctan, tan^-1 is for calculators eeeeh

Nicoo

This would impossible without the greatest equation in all of mathematics, e^(ix)=cos(x)+I*sin(x). The formula for inverse tangent and its derivative can be solved because of this.

@amineaboutalib

7 жыл бұрын

JSSTyger no it can be totally done without it

Ma kb

Thank you