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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x)-2pisin(x)

\int cos (x) - 2 π sin (x) d x

sin (x) + 2 π cos (x) + C

Solution steps

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

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

\int 2 π sin (x) d x = - 2 π cos (x)

= sin (x) - (- 2 π cos (x))

Simplify

= sin (x) + 2 π cos (x)

Add a constant to the solution

= sin (x) + 2 π cos (x) + C

\int e^{5 x} sin (e^{5 x}) d x

\int \frac{1}{x 1 + x} d x

\int \frac{x ^{2} - x - 2}{x ^{4} + 2 x ^{3} + 2 x ^{2}} d x

\int x cos (m) x d x

\int \frac{1}{x ( 9 x ^{2} - 1 ) ^{2}} d x

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