Hello,

I need help in solving the following real integral using the residue theorem.

.

What starting complex function should I use? and what contour?

Thank you

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- May 17th 2011, 03:04 AMmia25Residue Theorem and Real integrals
Hello,

I need help in solving the following real integral using the residue theorem.

.

What starting complex function should I use? and what contour?

Thank you - May 17th 2011, 07:06 AMFernandoRevilla
One way:

**(a)**Consider

Using the residue theorem you'll obtain

**(b)**Using the integration by parts method, you'll obtain

**(c)**Using the substitution you'll obtain