(a)
\The integral is .
Let .
.
From the table of integrals Formula 83: .
From the table of integrals Formula 82:.
Substitute above value in .
Replace in above expression.
(b)
\The integral is .
Find the integral using integration by parts.
\Integration by parts :.
Consider and
.
Consider .
Apply derivative on each side with respect to .
Consider .
Apply integral on each side.
\.
Substitute corresponding values in .
Consider .
Let and
.
Substitute corresponding values in .
Substitute above result in (1).
\.
(a) .
(b) .