en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (xe^x)

Solution

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

Solution

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

Solution steps

\int x e^{x} d x

Apply Integration By Parts

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

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

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

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

Add a constant to the solution

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

Popular Examples

derivative of 6e^x+4/(\sqrt[3]{x)}derivative of

integral of csc(8x)cot(8x)

\int csc (8 x) cot (8 x) d x

derivative of ln(4x)derivative of

ln (4 x)

derivative of e^{cos(x}sin(x))

\frac{d}{d x} (e^{c o s (x)} sin (x))

integral from 0 to a of xsin^2((pix)/a)

\int_{0}^{a} x sin^{2} (\frac{π x}{a}) d x

Frequently Asked Questions (FAQ)

What is the integral of (xe^x) ?
The integral of (xe^x) is e^xx-e^x+C