Calculus help

>>299250
It's be easier if you just gave me examples that you're having problems on. If you don't want to to that, you can always just check khan academy.

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>>299251
here's an example I guess. I tried khan academy already. Was hoping to find some tricky examples

File: Simple U-Substitution.png (90KB, 2464x1968px) Image search: [Google]

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>>299254
The goal of a u-sub is to make it easier / possible to integrate. What you want to keep in mind when using this tool is you want to pick a u that you can see it's derivative in the integrand. In this case I knew that the derivative of lnx is 1/x, and I see that 1/x is part of the integrand. Everything after that is normal work.
One point I'd like to make clear is the bounds of integration when using u-substitution. When you substitute u in for x, your bounds will need to change. In most cases you can be lazy like me and leave it as (x = whatever) since I convert back to x's in the end.

>>299254
>>299259
My bad, didn't even see that square root sign, the concept is still the same, but instead I would end up with 1/sqrt(u).

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>>299261
I uh, found some harder examples I wouldn't mind help with

File: Simple U-Substitution 2.png (25KB, 1044x492px) Image search: [Google]

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>>299268
Here's the work for #2. One thing to pick up here is that, when picking your u, try to include any any constants you can with it since they end up disappearing.

#1 looks more like integration by parts if you know what that is. I'll do it anyways, but just giving you a heads up.

File: Simple Integration by parts 1.png (20KB, 1044x417px) Image search: [Google]

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>>299274
I also forgot my + C on #2

>>299274
>>299275
thanks anon