The integral is
.
Solve the integral using substitution method.
\Substitute
.
Apply exponential on each side.
\
.
Apply derivative on each side with respect to
.


.
Substitute
and
in
.

Find the integral using integration by parts.
\Formula for integration by parts:
.
Consider
and 
Apply derivative on each side with respect to
.

.
Consider
.
Apply integral on each side.
\
.
Substitute
,
,
and
in
.


Again apply integration by parts.
\



Substitute
and
.

.