en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of xen(x)

Solution

\int x e n (x) d x

Solution

\frac{e n x ^{3}}{3} + C

Solution steps

\int x e n x d x

Take the constant out:

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

= e n \cdot \int xx d x

Simplify

xx : x^{2}

= e n \cdot \int x^{2} d x

Apply the Power Rule

= e n \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{e n x ^{3}}{3}

Add a constant to the solution

= \frac{e n x ^{3}}{3} + C

Graph

Popular Examples

integral of (sqrt(x)+1/(7sqrt(x)))

derivative of (2x^6+5x^3^{3/5})

sum from n=1 to infinity of 1+(1/2)^n

x^2y^{''}-3xy^'+4y=x

limit as x approaches-infinity of 7/x-2

Frequently Asked Questions (FAQ)

What is the integral of xen(x) ?
The integral of xen(x) is (enx^3)/3+C