What is the integral of 3e^x-2cos(x) ?

The integral of 3e^x-2cos(x) is 3e^x-2sin(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 3e^x-2cos(x)

\int 3 e^{x} - 2 cos (x) d x

3 e^{x} - 2 sin (x) + C

Solution steps

\int 3 e^{x} - 2 cos (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 3 e^{x} d x - \int 2 cos (x) d x

\int 3 e^{x} d x = 3 e^{x}

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

= 3 e^{x} - 2 sin (x)

Add a constant to the solution

= 3 e^{x} - 2 sin (x) + C

What is the integral of 3e^x-2cos(x) ?
The integral of 3e^x-2cos(x) is 3e^x-2sin(x)+C