integral of x sin^2x dx

and would you show me the proceedure please?

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- Feb 16th 2009, 04:00 PMyasu7help with this integral
integral of x sin^2x dx

and would you show me the proceedure please?

- Feb 16th 2009, 04:06 PMMush
- Feb 16th 2009, 04:28 PMyasu7
I've got the answer, and it is like this:

could someone help me get to this? - Feb 16th 2009, 04:32 PMMush

Hence the integral becomes:

.

This can be split into two integrals as such:

The first integral can be calculated easily using the rule that . The second integral must be evaluated by parts:

__First Integral__

__Second Integral__

__Total Integral = First Integral - Second Integral__

Take out a factor of

- Feb 16th 2009, 04:42 PMyasu7
I don't get where does the comes from,

is that a rule or something? thanks in advance - Feb 16th 2009, 04:47 PMMush