What is the integral of 2x+sin(x)+c ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 2x+sin(x)+c

\int 2 x + sin (x) + c d x

x^{2} - cos (x) + c x + C

Solution steps

\int 2 x + sin (x) + c 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 x d x + \int sin (x) d x + \int c d x

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

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

\int c d x = c x

= x^{2} - cos (x) + c x

Add a constant to the solution

= x^{2} - cos (x) + c x + C

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