(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)
.