(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 2 a 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