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U Substitution with definite integral help

Hi all,

I have a homework problem (not graded, so I'm not coming here to boost my grade if that was anybody's concern :P) that I got caught up on. I'm not sure what to set u equal to, I originally though square root of x but that was getting extremely messy. I was hoping you guys could help walk me through this one to give me an idea of where I should go with it.

Here's the problem:

Attachment 25996

Thanks guys! :)

Re: U Substitution with definite integral help

I would let:

and since we may state:

and we have:

Re: U Substitution with definite integral help

Quote:

Originally Posted by

**MarkFL2** I would let:

and since

we may state:

and we have:

Thanks so much! It didn't even cross my mind to set it equal to x.

Re: U Substitution with definite integral help

Equivalently,

so the integral become and you can integrate both parts by using .