Simple linear factors

Evaluate the following integrals.

Problem 12E

Step 1</p>

In this problem we have to evaluate

Consider … (1)

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.

Step 2</p>

Consider … (2)

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

Thus (2) becomes,