(5)

Step 1:

The integral is .

Consider .

Rewrite the fraction as :

Use long division to write the above fraction :

Consider .

Use partial fraction method :

Substitute in above equation (1).

Substitute in above equation.

Compare the constant terms.

Step 2 :

So .

Apply sum property of integral :.

Apply constant rule of integration : .

Apply integral of logarithm function : .

.