integral of cos(sqrt(x)), u-sub + integration by parts

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you explained it way better than my teacher, thank you

carolinarivera

00:14 This "U Wolrd" seems to be a nice place, just like Equestria :)
00:19 In problems like these, I usually square the equation first, then differentiate. It's easier that way:
u = √x → u² = x → 2·u·du = dx
:)

bonbonpony

O brigada, foi super fácil de entender, continuem com esse ótimo trabalho que estão fazendo.

desireekarol

Hello, I'm brazilian, you helped me a lot with your video. Thank you!!!

Your videos teaching solution of integration like this are very helpful, thanks a lot.

larryhsieh

The u substitution was the most complicated part of this problem. Thank you =)<3

dangerousangel

Que grande el chino, me salvó las papas de una manera increíble. Gracias chino, te quiero!

Roman-gwnl

You are literally saving my life right now

helenabreza

Buen día hermanito muy excelente tutorial, mas de 24 horas buscando información y tu me resolviste el día, gracias muchas felicidades bendiciones..

rogersmith-hf

very very helpful thank you very much!

anjoorca

dy = cos (sqrt x) dx.
dy = cos (sqrt u²) d(u²).
dy = 2u cos u du.
dy = 2(u cos u + sin u) du - 2 sin u du.
y = 2u sin u + 2 cos u.
y = 2 (sqrt x sin (sqrt x) + cos (sqrt x)) + c.

marceloifsparqc.d.e.f

i love you guys, continue posting more and helping distraught kids!!

samyuktajadeja

i don't understand why differentiate of u is -1 instead of +1?

KaewApivisuttirux

Muchas gracias por el video, hablo español pero aun asi me ayudo mucho el video, saludos.

andresayalaelvis

I always struggle with u-substitution, thank!

zacharysquires

If we multiply integrand by one we can integrate by parts directly
Mulitplying by one should give us derivative of sqrt(x)

holyshit

I m indian who watch this video... 😁😁😁

saloni..burnwal..

euler’s formula where sqrt(x) is i and theta

AlgyCuber

Thanks A lot. This question was very irritating. But you made it easier.

dineshgarg

OMG thank you. this was confusing for me so much.

kyleMcBurnett

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