What is the integral from-infinity to 3 of xe^x ?

The integral from-infinity to 3 of xe^x is 2e^3

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integral from-infinity to 3 of xe^x

\int_{- \infty}^{3} x e^{x} d x

2 e^{3}

Decimal Notation

40.17107 \dots

Solution steps

\int_{- \infty}^{3} x e^{x} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{3} x e^{x} d x = 2 e^{3} - 0

= 2 e^{3} - 0

Simplify

= 2 e^{3}

5 e^{x} cos (x) (0.5)

\int x sin (7 x) d x

(1 + cos^{3} (x^{7}))^{12}

\frac{\partial}{\partial x} (y^{3} sin (6 x))

f (x) = \frac{2}{3 x + 5}, (- 1, 1)

What is the integral from-infinity to 3 of xe^x ?
The integral from-infinity to 3 of xe^x is 2e^3