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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2cos(2x)-7

\int 2 cos (2 x) - 7 d x

sin (2 x) - 7 x + C

Solution steps

\int 2 cos (2 x) - 7 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 (2 x) d x - \int 7 d x

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

\int 7 d x = 7 x

= sin (2 x) - 7 x

Add a constant to the solution

= sin (2 x) - 7 x + C

\int e^{5 x - 9} d x

\int \frac{( - x ^{2} + x )}{x ^{4}} d x

\int \frac{x ^{8}}{x ^{9} - 2} d x

\int - x csc^{2} (x) d x

\int \frac{1}{x ^{2} + y} d y