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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (e^x+xcos(y))

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

e^{x} y + x sin (y) + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= e^{x} y + x sin (y)

Add a constant to the solution

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

What is the integral of (e^x+xcos(y)) ?
The integral of (e^x+xcos(y)) is e^xy+xsin(y)+C