What is the integral of (7cos(x)+2sin(x)) ?

The integral of (7cos(x)+2sin(x)) is 7sin(x)-2cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (7cos(x)+2sin(x))

\int (7 cos (x) + 2 sin (x)) d x

7 sin (x) - 2 cos (x) + C

Solution steps

\int 7 cos (x) + 2 sin (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 7 cos (x) d x + \int 2 sin (x) d x

\int 7 cos (x) d x = 7 sin (x)

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

= 7 sin (x) - 2 cos (x)

Add a constant to the solution

= 7 sin (x) - 2 cos (x) + C

What is the integral of (7cos(x)+2sin(x)) ?
The integral of (7cos(x)+2sin(x)) is 7sin(x)-2cos(x)+C