Question

How do you find the integral of `(sec^2 x)(tan^2 x) dx`?

Answer 1

`(tan^3x)/3+C`

Explanation:

By making a substitution, `tanx`= `U`, you will get `dU` = `sec^2xdx`. Therefore, `dx`= `(dU)/sec^2x`. Then the integral will become:
`intU^2dU`. Substitute the value of U and obtain the result.