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Popular >

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

= 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

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Frequently Asked Questions (FAQ)

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