Problem 58E

Preliminary steps

The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.

Problem 58E

The following integrals require a preliminary step such as long division or a change of variables before using partial fractions.

Evaluate these integral

Solution:-

Step 1

To evaluate the integral, first we substitute ,

Differentiating , we get

Substituting these in the integral, we get

Now, we have rational fraction which we can decompose into partial fraction and then carry on the integral.