What is the integral of 2sin(x)-e^x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2sin(x)-e^x

\int 2 sin (x) - e^{x} d x

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

Solution steps

\int 2 sin (x) - e^{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 sin (x) d x - \int e^{x} d x

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

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

= - 2 cos (x) - e^{x}

Add a constant to the solution

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

\int \frac{( 3 x ^{2} - 1 )}{x ^{3} - x + 1} d x

\int sin (x) ln (1 + sin (x)) d x

\int e^{- ik x} d x

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

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