Problem 12E

Nonrepeated Linear Factors

Express the integrand as a sum of partial fractions and evaluate the integrals

Solution

Step 1 of 3

In this problem, we have to express the integrand as a sum of partial fractions and evaluate the integral.

.

Sep 2 of 3

The given integrand is

Now, we have to use the method of partial fraction

To find substitute

To find substitute

We get

Step 3 of 3

Consider

……..[since ]

Hence the required solution is .