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

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

\int \frac{x + 3}{x ^{2} + 6 x + 10} d x

x \to 5 - lim (\frac{- 3}{x ^{2} - 25})

\frac{10 u ^{2}}{( u ^{2} + u ) ^{3}}

y^{^{''}} + y^{^{'}} - 56 y = 0

9 x^{\frac{1}{3}}

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