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Step-by-step Solution

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

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e
π
ln
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$-0.3679$

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

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

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Answer

$-0.3679$