http://s0.wp.com/latex.php?latex=%5C...&fg=545454&s=0

... someone solve this problem by complex integration, but i don't know it;

please help me to solve this problem ..!

Printable View

- Sep 8th 2012, 12:49 AMkyb03316MIT INTEGRATION Bee problem
http://s0.wp.com/latex.php?latex=%5C...&fg=545454&s=0

... someone solve this problem by complex integration, but i don't know it;

please help me to solve this problem ..! - Sep 8th 2012, 01:59 AMVlasevRe: MIT INTEGRATION Bee problem
Since you mention complex integration, try the following. The complex sine is defined as

Your integrand becomes

Let . To find the integral we also need to see how transforms. , so and so the integrand becomes

In your situation you have . Does this help? - Sep 8th 2012, 02:13 AMVlasevRe: MIT INTEGRATION Bee problem
Actually, here is a much easier way to perform the integration. Your integrand is of the form

where is a positive integer. You have that

Expanding this, we get

Now, can you recognize this as the derivative of something?