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Popular >

integral of xe^x

Solution

integral

x e^{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

integral of x^3sqrt(x^2+28)

\int x^{3} x^{2} + 28 d x

integral of 2xcos(4x)

\int 2 x cos (4 x) d x

integral of 5(x-4)\sqrt[3]{x^2-8x}

integral of sin^4(x/8)cos(x/8)

\int sin^{4} (\frac{x}{8}) cos (\frac{x}{8}) d x

integral of ex(1+e^x)(1/2)

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