What is the integral from 1.8 to 2.4 of xe^{-x} ?

The integral from 1.8 to 2.4 of xe^{-x} is 0.15439…

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integral from 1.8 to 2.4 of xe^{-x}

\int_{1.8}^{2.4} x e^{- x} d x

0.15439 \dots

Solution steps

\int_{1.8}^{2.4} x e^{- x} d x

Apply Integration By Parts

: [- e^{- x} x - \int - e^{- x} d x]_{1.8}^{2.4}

= [- e^{- x} x - \int - e^{- x} d x]_{1.8}^{2.4}

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

= [- e^{- x} x - e^{- x}]_{1.8}^{2.4}

Compute the boundaries:

0.15439 \dots

= 0.15439 \dots

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\int_{8 y^{2} + 8 z^{2}}^{8} x d x

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

\int_{2}^{8} x^{3} d x

What is the integral from 1.8 to 2.4 of xe^{-x} ?
The integral from 1.8 to 2.4 of xe^{-x} is 0.15439…