What is the integral of 2cos(x)+2x ?

The integral of 2cos(x)+2x is 2sin(x)+x^2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 2cos(x)+2x

\int 2 cos (x) + 2 x d x

2 sin (x) + x^{2} + C

Solution steps

\int 2 cos (x) + 2 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 2 cos (x) d x + \int 2 x d x

\int 2 cos (x) d x = 2 sin (x)

\int 2 x d x = x^{2}

= 2 sin (x) + x^{2}

Add a constant to the solution

= 2 sin (x) + x^{2} + C

What is the integral of 2cos(x)+2x ?
The integral of 2cos(x)+2x is 2sin(x)+x^2+C