## Problems on Techniques of Integration

The logarithmic function is one of these functions whose derivative is very nice (rational function). So it is a good idea to use the integration by parts technique in which will be differentiated. There are basically two ways of doing this problem. You may try to find the antiderivative of then takes its values at and . Or you may want to use the integration by parts for definite integrals.

Set

Then

Since

we get

which implies

or

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