MATH 1310.03F A **Quiz 5** Thursday, October, 26 2000

NAME:

Student Number: No.Marks

(25 Marks) Evaluate the following indefinite integral.

Solution. Step 1. To get partial fraction decomposition.

Let

This implies

Let *x*=0. We have 3=2*A* and *A*=3/2.

Let *x*=1. We have 3=-*B* and *B*=-3.

Let *x*=2. We have 4-2+3=2*C* and *C*=5/2.

Hence, we have

and

Step 2. Evaluate the indefinite integral.

Thu Oct 26 14:44:34 EDT 2000