What is the integral of e^xcos(y) ?

The integral of e^xcos(y) is cos(y)e^x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of e^xcos(y)

\int e^{x} cos (y) d x

cos (y) e^{x} + C

Solution steps

\int e^{x} cos (y) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (y) \cdot \int e^{x} d x

Use the common integral:

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

= cos (y) e^{x}

Add a constant to the solution

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