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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of sin(x)+e^x

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

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

Solution steps

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

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

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

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

Add a constant to the solution

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

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