(88)
Z
tan
2
ax dx = -x +
1
a
tan ax
(89)
Z
tan
n
ax dx =
tan
n+1
ax
a(1 + n)
×
2
F
1
n +1
2
, 1,
n +3
2
, - tan
2
ax
(90)
Z
tan
3
axdx =
1
a
ln cos ax +
1
2a
sec
2
ax
(91)
Z
sec x dx = ln | sec x + tan x| = 2 tanh
-1
tan
x
2
(92)
Z
sec
2
ax dx =
1
a
tan ax
(93)
Z
sec
3
x dx =
1
2
sec x tan x +
1
2
ln | sec x + tan x|
(94)
Z
sec x tan x dx = sec x
(95)
Z
sec
2
x tan x dx =
1
2
sec
2
x
(96)
Z
sec
n
x tan x dx =
1
n
sec
n
x, n 6=0
(97)
Z
csc x dx = ln
tan
x
2
= ln | csc x - cot x| + C
10