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

The integral from-2 to infinity of e^{-3x} is (e^6)/3

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

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

\frac{e ^{6}}{3}

Decimal

134.47626 \dots

Solution steps

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

Compute the indefinite integral:

\int e^{- 3 x} d x = - \frac{1}{3} e^{- 3 x} + C

Compute the boundaries:

\int_{- 2}^{\infty} e^{- 3 x} d x = 0 - (- \frac{e ^{6}}{3})

= 0 - (- \frac{e ^{6}}{3})

Simplify

= \frac{e ^{6}}{3}

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What is the integral from-2 to infinity of e^{-3x} ?
The integral from-2 to infinity of e^{-3x} is (e^6)/3