What is the integral from-infinity to 4 of xe^x ?

The integral from-infinity to 4 of xe^x is 3e^4

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integral from-infinity to 4 of xe^x

\int_{- \infty}^{4} x e^{x} d x

3 e^{4}

Decimal

163.79445 \dots

Solution steps

\int_{- \infty}^{4} 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}^{4} x e^{x} d x = 3 e^{4} - 0

= 3 e^{4} - 0

Simplify

= 3 e^{4}

\frac{3}{s ^{2} + 3 s + 6}

\frac{2 x ^{4}}{b ^{2} - x ^{2}}

\int \frac{( x ^{2} - x + 24 )}{x ^{3} + 6 x} d x

y = (5 t)^{t}

x \to 0 lim (\frac{2 sin ( x ) - sin ( 2 x )}{sin ( x ) - x cos ( x )})

What is the integral from-infinity to 4 of xe^x ?
The integral from-infinity to 4 of xe^x is 3e^4