What is the integral from 1 to infinity of 6e^{-6x} ?

The integral from 1 to infinity of 6e^{-6x} is 1/(e^6)

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integral from 1 to infinity of 6e^{-6x}

\int_{1}^{\infty} 6 e^{- 6 x} d x

\frac{1}{e ^{6}}

Decimal

0.00247 \dots

Solution steps

\int_{1}^{\infty} 6 e^{- 6 x} d x

Compute the indefinite integral:

\int 6 e^{- 6 x} d x = - e^{- 6 x} + C

Compute the boundaries:

\int_{1}^{\infty} 6 e^{- 6 x} d x = 0 - (- \frac{1}{e ^{6}})

= 0 - (- \frac{1}{e ^{6}})

Simplify

= \frac{1}{e ^{6}}

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What is the integral from 1 to infinity of 6e^{-6x} ?
The integral from 1 to infinity of 6e^{-6x} is 1/(e^6)