Problem 10E

Simple linear factors

Evaluate the following integrals.

Problem 10E

Solution

Step 1

In this problem we have to evaluate

Let us solve this by using Partial Fractions.

Let us first see about Partial Fractions.

When a proper rational expression is decomposed into a sum of two or more rational expressions, it is known as Partial Fractions.

Consider … (1)

Taking LCM in the right hand side we get,

Since the denominators of both sides are same, we can equate the numerator.

Put we get

Put we get