Question

integral sec^2(6x) dx integral sec^2(6x) dx @Mathematics

Answer 1

tan(6x)/6
steps to follow.

Answer 2

u=6x
du=6dx
(1/6)sec(u)^2

integral of sec(u)^2 = tan(u)

plug it in.
(1/6)*tan(6x) + C

Answer 3

For the integrand sec^2(6 x), substitute u = 6 x and du = 6 dx:
= 1/6 integral sec^2(u) du
The integral of sec^2(u) is tan(u):
= (tan(u))/6+constant
Substitute back for u = 6 x:
= 1/6 tan(6 x)+constant