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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

Graph

Popular Examples

integral of+1/(sqrt(25x^2-36))

\int + \frac{1}{25 x ^{2} - 36} d x

integral of (x+5)/(x^2-6x-15)

\int \frac{x + 5}{x ^{2} - 6 x - 15} d x

integral of (2x-6)

\int (2 x - 6) d x

integral of (x^2-4)/(x+1)

\int \frac{x ^{2} - 4}{x + 1} d x

integral of (4x-16)/(sqrt(x)+2)

\int \frac{4 x - 16}{x + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of [xe^x] ?
The integral of [xe^x] is e^xx-e^x+C