The integral is .
(a) Evaluate integral using integration by parts.
\Consider .
Integration by parts is .
Apply integral on each side.
\.
Consider .
Apply derivative on each side with respect to .
.
Substitute ,
,
and
.
.
(b)
\The integral is .
Evaluate integral using substitution.
\Let .
Apply derivative on each side with respect to .
Substitute ,
and
in
.
Substitute .
.
.