The integral is
.
Rewrite the integral as
.
Solve the integral by using partial fractions.
\
.
.
Cancel common terms.
\
.

Equate
coefficients.
.
Equate
coefficients.

Equate constant terms.
\
.
Substitute
in
.

Add
and
.

Substitute
in
.

Substitute
,
and
in
.
.
.
Apply integration formula
.

.
.