Question

What is `int tan^3(2x) sec^100(2x) dx`?

Answer 1

`1/204*sec^102 (2x) -1/200*sec^100 (2x) + C`

Explanation:

Reduce the integral `int tan ^3(2x) sec^100 (2x)` `dx` into

`int sec^99 2x* tan^2 2x*(sec 2x* tan 2x)` `dx`