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Popular >

integral of e^x(-x)

Solution

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

Solution

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

Solution steps

\int e^{x} (- 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})

Simplify

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(uln(u)-u)

\int \frac{1}{u ln ( u ) - u} d u

laplacetransform 30t^2 laplace transform

30 t^{2}

derivative of 1/(1-2x)

\frac{d}{d x} (\frac{1}{1 - 2 x})

limit as x approaches infinity of-ln(x)

x \to \infty lim (- ln (x))

derivative of ((x+1)/(x-1))^3 derivative of

(\frac{x + 1}{x - 1})^{3}

Frequently Asked Questions (FAQ)

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