__Example 1:__ Evaluate the integral

__Solution to Example 1:__

We use partial fractions decomposition to decompose the integrand into simpler fractions

We now use table of integrals to integrate

__Example 2:__ Evaluate the integral

__Solution to Example 2:__

A partial fractions decomposition of the integrand gives

We now use a table of integrals to evaluate the integrals

__Exercises:__ Evaluate the following integrals.

1.

2.

__Answers to Above Exercises__

1.

2.

More references on
integrals and their applications in calculus.