(98)
Z
csc
2
ax dx = -
1
a
cot ax
(99)
Z
csc
3
x dx = -
1
2
cot x csc x +
1
2
ln | csc x - cot x|
(100)
Z
csc
n
x cot x dx = -
1
n
csc
n
x, n 6=0
(101)
Z
sec x csc x dx = ln | tan x|
Products of Trigonometric Functions and Mono-
mials
(102)
Z
x cos x dx = cos x + x sin x
(103)
Z
x cos ax dx =
1
a
2
cos ax +
x
a
sin ax
(104)
Z
x
2
cos x dx =2x cos x +
(
x
2
- 2
)
sin x
(105)
Z
x
2
cos ax dx =
2x cos ax
a
2
+
a
2
x
2
- 2
a
3
sin ax
(106)
Z
x
n
cos xdx = -
1
2
(i)
n+1
[Γ(n +1, -ix)+(-1)
n
Γ(n +1, ix)]
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