What is the integral from 0 to 0.8 of x*e^x ?

The integral from 0 to 0.8 of x*e^x is 0.55489…

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integral from 0 to 0.8 of x*e^x

\int_{0}^{0.8} x \cdot e^{x} d x

0.55489 \dots

Solution steps

\int_{0}^{0.8} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{0.8}

= [e^{x} x - \int e^{x} d x]_{0}^{0.8}

\int e^{x} d x = e^{x}

= [e^{x} x - e^{x}]_{0}^{0.8}

Compute the boundaries:

0.55489 \dots

= 0.55489 \dots

\int_{0}^{1} (x e^{2 x}) d x

\int_{1}^{4} \frac{5 e ^{- x}}{2} d x

\int_{x}^{0} e^{- 3 t} d t

\int_{2}^{4} \frac{3 x - 6}{2} d x

\int_{0}^{2} (4 - x^{2}) d x

What is the integral from 0 to 0.8 of x*e^x ?
The integral from 0 to 0.8 of x*e^x is 0.55489…