What is the integral from-infinity to 10 of xe^{x/5} ?

The integral from-infinity to 10 of xe^{x/5} is 25e^2

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integral from-infinity to 10 of xe^{x/5}

\int_{- \infty}^{10} x e^{\frac{x}{5}} d x

25 e^{2}

Decimal Notation

184.72640 \dots

Solution steps

\int_{- \infty}^{10} x e^{\frac{x}{5}} d x

Compute the indefinite integral:

\int x e^{\frac{x}{5}} d x = 5 e^{\frac{x}{5}} x - 25 e^{\frac{x}{5}} + C

Compute the boundaries:

\int_{- \infty}^{10} x e^{\frac{x}{5}} d x = 25 e^{2} - 0

= 25 e^{2} - 0

Simplify

= 25 e^{2}

x y^{^{'}} - y + 1 = 0

\int x^{2} + 5 x d x

\frac{d y}{d x} + \frac{3 x}{x ^{2} + 1} y = \frac{6 x}{x ^{2} + 1}

\frac{d}{d x} (\frac{e ^{x}}{2})

\int sin (e^{x}) e^{2 x} d x

What is the integral from-infinity to 10 of xe^{x/5} ?
The integral from-infinity to 10 of xe^{x/5} is 25e^2