(a) The function is .
Substitute .
.
The integrand is a odd function .
If is an odd function, then
.
.
(b) The function is .
Substitute .
.
The integrand is a even function .
If is an even function, then
.
.
.
(c) The function is .
Substitute .
.
The integrand is a even function.
If is an even function, then
.
.
.
(d) The function is .
Substitute .
The integrand is a odd function.
If is an odd function, then
.
.
(a) .
(b) .
(c) .
(d) .