What is the integral from 0.2 to 2.2 of xe^x ?

The integral from 0.2 to 2.2 of xe^x is 11.80713…

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integral from 0.2 to 2.2 of xe^x

\int_{0.2}^{2.2} x e^{x} d x

11.80713 \dots

Solution steps

\int_{0.2}^{2.2} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0.2}^{2.2}

= [e^{x} x - \int e^{x} d x]_{0.2}^{2.2}

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

= [e^{x} x - e^{x}]_{0.2}^{2.2}

Compute the boundaries:

11.80713 \dots

= 11.80713 \dots

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\int_{1}^{e} \frac{2 ln ∣ x ∣}{x} d x

What is the integral from 0.2 to 2.2 of xe^x ?
The integral from 0.2 to 2.2 of xe^x is 11.80713…