What is the integral of sec^2(x)+picos(x) ?

The integral of sec^2(x)+picos(x) is tan(x)+pisin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of sec^2(x)+picos(x)

\int sec^{2} (x) + π cos (x) d x

tan (x) + π sin (x) + C

Solution steps

\int sec^{2} (x) + π cos (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 sec^{2} (x) d x + \int π cos (x) d x

\int sec^{2} (x) d x = tan (x)

\int π cos (x) d x = π sin (x)

= tan (x) + π sin (x)

Add a constant to the solution

= tan (x) + π sin (x) + C

What is the integral of sec^2(x)+picos(x) ?
The integral of sec^2(x)+picos(x) is tan(x)+pisin(x)+C