What is the integral of-e^xsin(y) ?

The integral of-e^xsin(y) is e^xcos(y)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of-e^xsin(y)

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

e^{x} cos (y) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

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

Simplify

= e^{x} cos (y)

Add a constant to the solution

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