By all means Use any means to verify (or approximate as closely as possible) the following integrals.

SOLUTIONHere the question is to verify the given integral by any means.The given integral is Step 1Let us first integrate the indefinite integral in the left hand side of the question. We can use the integration by parts method .Step 2Now Consider Let us take Therefore Here is a special integral called dilogarithm denoted by Li(u).Therefore Therefore