The integral is .

Solve the integral using partial fractions.

Cancel common terms.

Find the values of  and  values by equating coefficients.

Equate  coefficients.

.

Equate  coefficients.

.

Equate constant terms.

.

Substitute  in .

.

Substitute ,  and  in .

.

Apply sum and difference formula: .

Apply formula:.

Apply formula: .

The value of the integral is .

Graph:

Consider the function  on the interval .

Graph the function .

Observe the graph:

.

The value of integral is .