What is the integral of xe^{-2y} ?

The integral of xe^{-2y} is (e^{-2y}x^2)/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xe^{-2y}

\int x e^{- 2 y} d x

\frac{e ^{- 2 y} x ^{2}}{2} + C

Solution steps

\int x e^{- 2 y} d x

Take the constant out:

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

= e^{- 2 y} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= e^{- 2 y} \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{- 2 y} x ^{2}}{2}

Add a constant to the solution

= \frac{e ^{- 2 y} x ^{2}}{2} + C

\frac{\partial}{\partial x} (x \cdot e^{\frac{y}{z}})

n = 1 \sum \infty \frac{n}{n ^{5} + 1}

\frac{\partial}{\partial x} (z - x^{2} - y^{2})

\int \frac{1}{8 + 3 x} d x

sin (5 x)