# Step-by-step Solution

## Integrate e^(-x)(1-x) from 1 to \infty

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asin
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sinh
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asinh
acosh
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### Videos

$-0.3679$

## Step-by-step explanation

Problem to solve:

$\int_1^{\infty}\left(e^{-x}\left(1-x\right)\right)dx$
1

Multiplying polynomials $e^{-x}$ and $1+-x$

$\int_{1}^{\infty}\left(e^{-x}-e^{-x}x\right)dx$
2

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{1}^{\infty} e^{-x}dx+\int_{1}^{\infty}-e^{-x}xdx$

$-0.3679$
$\int_1^{\infty}\left(e^{-x}\left(1-x\right)\right)dx$