What is the integral from 1 to infinity of 4e^{-2x} ?

The integral from 1 to infinity of 4e^{-2x} is 2/(e^2)

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integral from 1 to infinity of 4e^{-2x}

\int_{1}^{\infty} 4 e^{- 2 x} d x

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

Decimal

0.27067 \dots

Solution steps

\int_{1}^{\infty} 4 e^{- 2 x} d x

Compute the indefinite integral:

\int 4 e^{- 2 x} d x = - 2 e^{- 2 x} + C

Compute the boundaries:

\int_{1}^{\infty} 4 e^{- 2 x} d x = 0 - (- \frac{2}{e ^{2}})

= 0 - (- \frac{2}{e ^{2}})

Simplify

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

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What is the integral from 1 to infinity of 4e^{-2x} ?
The integral from 1 to infinity of 4e^{-2x} is 2/(e^2)