Question

Integral of of sin x/cosˆ2 x

Answer 1

Answer:

$\sec x + c$

Step-by-step explanation:

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