What is the integral from-infinity to 0 of e^{-|x|} ?

The integral from-infinity to 0 of e^{-|x|} is 1

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integral from-infinity to 0 of e^{-|x|}

\int_{- \infty}^{0} e^{- ∣ x ∣} d x

1

Solution steps

\int_{- \infty}^{0} e^{- ∣ x ∣} d x

Eliminate Absolutes

= \int_{- \infty}^{0} e^{- (- x)} d x

Compute the indefinite integral:

\int e^{- (- x)} d x = e^{x} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{- (- x)} d x = 1 - 0

= 1 - 0

Simplify

= 1

\frac{\partial}{\partial y} (x e^{2 y x})

\frac{\partial}{\partial y} (2 + x ln (x y - 5))

\int \frac{1}{x ^{2} - 8 x - 12} d x

y^{^{''}} + 2 y^{^{'}} + y = x^{- 6} e^{- x}

\int \frac{x + 2}{x ^{2} + 3 x - 4} d x

What is the integral from-infinity to 0 of e^{-|x|} ?
The integral from-infinity to 0 of e^{-|x|} is 1