# Thread: Tricky Integral (for me anyway)

1. ## Tricky Integral (for me anyway)

I am trying to figure this out and am stumped at the moment.

Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.

2. Originally Posted by p75213
I am trying to figure this out and am stumped at the moment.

Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.
Divide 2U by U+1 to get $2-\frac{2}{u+1}$

Now integrate

3. Originally Posted by p75213
I am trying to figure this out and am stumped at the moment.

Find the integral of 1/(x^.5+1). Using U substitution I now have 2U/U+1. I know ln|U+1| is in the answer but I can't figure out what to do about the numerator.
now only ln|U+1|, there is one more term in your answer.. look at the post above by ione and do the integration:

$2 (\int 1 - \frac{1}{u+1} du)$

4. Thanks guys. The long division was the key.