Find the integral of

I tried using u substitution, and I get:

At first it seems like it was going to be simple.

But in the problem there is a

And in my substitution there is a .

Any help would be appreciated.

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- April 4th 2010, 06:46 PMninjakuIntegration Problem
Find the integral of

I tried using u substitution, and I get:

At first it seems like it was going to be simple.

But in the problem there is a

And in my substitution there is a .

Any help would be appreciated. - April 4th 2010, 06:58 PMskeeter
- April 5th 2010, 12:41 AMninjaku
Ok after your suggestion. I did the problem two ways.

The first way I did using:

and got the answer to be

However when I checked it in my calculator, it said the answer was instead,

Which I found to be the answer when I set :

I would just like to know if both of those are correct, or only one.

And if only one of them is correct, how would I know which term I should pick to use for the substitution? - April 5th 2010, 12:50 AMharish21
- April 5th 2010, 01:15 AMninjaku
That makes a lot of sense, thanks.