en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (1+x)e^x

Solution

\int (1 + x) e^{x} d x

Solution

e^{x} x + C

Solution steps

\int (1 + x) e^{x} d x

Apply Integration By Parts

= e^{x} (1 + x) - \int e^{x} d x

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

= e^{x} (1 + x) - e^{x}

Simplify

e^{x} (1 + x) - e^{x} : e^{x} x

= e^{x} x

Add a constant to the solution

= e^{x} x + C

Graph

Popular Examples

derivative of 2^xln(2)

derivative of-sin(x)-2sec^2(x)tan(x)

integral of 1/(7x^5)

y^'+2xy=xe^{-x^2},y(0)=1

integral of 1/(sqrt(9x^2+1))

Frequently Asked Questions (FAQ)

What is the integral of (1+x)e^x ?
The integral of (1+x)e^x is e^xx+C