A Rather Large Pile of Antiderivatives
(1) Find the antiderivatives, using
u
substitution.
(a)
sin
√
x
√
x
dx
(b)
e
x
1 +
e
2
x
dx
(c)
√
ln
x
x
dx
(d)
e
arctan
x
1 +
x
2
dx
(e)
dx
x
ln
x
(f)
e
e
x
e
x
dx
(2) Find the antiderivatives, using integration by parts.
(a)
xe

x
dx
(b)
e
x
cos
x dx
(c)
x
sec
2
x dx
(3) Find the antiderivatives, using any method.