Question

Integral of of sin x/cosˆ2 x

Answer 1

`\sec x + c`

Explanation:

`\int \frac{ \sin \: x}{ { \cos}^(2)x } \: dx \\ \\ = \int \frac{ \sin \: x}{ { \cos}x } . \frac{ 1}{ { \cos}x } \: dx \\ \\ = \int \tan x . \sec x \: dx \\ \\ = \sec x + c`