What is the integral of cos(x)+sec(x)tan(x) ?

The integral of cos(x)+sec(x)tan(x) is sin(x)+sec(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of cos(x)+sec(x)tan(x)

\int cos (x) + sec (x) tan (x) d x

sin (x) + sec (x) + C

Solution steps

\int cos (x) + sec (x) tan (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cos (x) d x + \int sec (x) tan (x) d x

\int cos (x) d x = sin (x)

\int sec (x) tan (x) d x = sec (x)

= sin (x) + sec (x)

Add a constant to the solution

= sin (x) + sec (x) + C

What is the integral of cos(x)+sec(x)tan(x) ?
The integral of cos(x)+sec(x)tan(x) is sin(x)+sec(x)+C