$\"\"$

\

The integral is $\"\"$ .

\

Observe the integrand it is an improper fraction.

\

$\"\"$

\

Where $\"\"$ is quotient and $\"\"$ is remainder.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Consider $\"\"$ .

\

Factorize the denominator.

\

$\"\"$

\

Partial fraction decomposition of $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in above expression.

\

$\"\"$

\

Substitute $\"\"$ in above expression (2).

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ in equation (1).

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Apply formula $\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

Substitute above result in $\"\"$

\

$\"\"$

\

$\"\"$ $\"\"$ .

\

$\"\"$

\

$\"\"$ $\"\"$ .