What is the integral from-infinity to-2 of 3e^x ?

The integral from-infinity to-2 of 3e^x is 3/(e^2)

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integral from-infinity to-2 of 3e^x

\int_{- \infty}^{- 2} 3 e^{x} d x

\frac{3}{e ^{2}}

Decimal

0.40600 \dots

Solution steps

\int_{- \infty}^{- 2} 3 e^{x} d x

Compute the indefinite integral:

\int 3 e^{x} d x = 3 e^{x} + C

Compute the boundaries:

\int_{- \infty}^{- 2} 3 e^{x} d x = \frac{3}{e ^{2}} - 0

= \frac{3}{e ^{2}} - 0

Simplify

= \frac{3}{e ^{2}}

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What is the integral from-infinity to-2 of 3e^x ?
The integral from-infinity to-2 of 3e^x is 3/(e^2)