What is the integral of e^x-ye^{xy} ?

The integral of e^x-ye^{xy} is e^x-e^{yx}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x-ye^{xy}

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

e^{x} - e^{y x} + C

Solution steps

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

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

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

= e^{x} - e^{y x}

Add a constant to the solution

= e^{x} - e^{y x} + C

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

\int e^{5 x + 3} sin (2 x - 1) d x

\int sec (4 x) - csc (\frac{2 x}{3}) d x

\int \frac{1}{2 - 3 y} d y

\int sin (a \cdot x) \cdot sin (b \cdot x) d x

What is the integral of e^x-ye^{xy} ?
The integral of e^x-ye^{xy} is e^x-e^{yx}+C