What is the integral from-infinity to 4 of xe^{x/2} ?

The integral from-infinity to 4 of xe^{x/2} is 4e^2

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integral from-infinity to 4 of xe^{x/2}

\int_{- \infty}^{4} x e^{\frac{x}{2}} d x

4 e^{2}

Decimal Notation

29.55622 \dots

Solution steps

\int_{- \infty}^{4} x e^{\frac{x}{2}} d x

Compute the indefinite integral:

\int x e^{\frac{x}{2}} d x = 4 (\frac{1}{2} e^{\frac{x}{2}} x - e^{\frac{x}{2}}) + C

Compute the boundaries:

\int_{- \infty}^{4} x e^{\frac{x}{2}} d x = 4 e^{2} - 0

= 4 e^{2} - 0

Simplify

= 4 e^{2}

y^{^{'}} = - y - 2 x

\int x (1 - 3 x^{2})^{4} d x

ln (x) \cdot x

\frac{\partial}{\partial u} (4 sin (u) cos (v))

What is the integral from-infinity to 4 of xe^{x/2} ?
The integral from-infinity to 4 of xe^{x/2} is 4e^2