1.

i tried using substitution by letting u= but got stucked.

2.

Evaluate

totally no idea on how to start this.

thanks in advance.

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- Dec 16th 2012, 08:46 PMtempq1Somemore integration help on trigo needed
1.

i tried using substitution by letting u= but got stucked.

2.

Evaluate

totally no idea on how to start this.

thanks in advance. - Dec 17th 2012, 02:16 AMchiroRe: Somemore integration help on trigo needed
Hey tempq1.

Try using a substitution u = 2x instead of arcsin(2x) and then see what the form of the integral is (and after that consider integrating by parts to get a cancellation). - Dec 17th 2012, 07:10 AMtempq1Re: Somemore integration help on trigo needed
- Dec 17th 2012, 09:24 AMhollywoodRe: Somemore integration help on trigo needed
It certainly wouldn't hurt to substitute u=2x (I'll use w=2x):

Now try integrating by parts using and .

- Hollywood - Dec 18th 2012, 06:59 AMtempq1Re: Somemore integration help on trigo needed
- Dec 18th 2012, 07:24 AMhollywoodRe: Somemore integration help on trigo needed
Substitute to get rid of the radicals, then integrate by parts with and .

- Hollywood - Dec 21st 2012, 05:18 PMx3bnmRe: Somemore integration help on trigo needed
We know that:

So for

So now:

For:

Let

Check:

http://www.wolframalpha.com/input/?i=differentiation+2*x^(3%2F2)*tan^(-1)(x^(1%2F2))%2F3+%2B+ln(1%2Bx)%2F3-(1%2Bx)%2F3+%2B+C