What is the integral from 4 to infinity of 7e^{-y/2} ?

The integral from 4 to infinity of 7e^{-y/2} is (14)/(e^2)

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integral from 4 to infinity of 7e^{-y/2}

\int_{4}^{\infty} 7 e^{- \frac{y}{2}} d y

\frac{14}{e ^{2}}

Decimal Notation

1.89469 \dots

Solution steps

\int_{4}^{\infty} 7 e^{- \frac{y}{2}} d y

Compute the indefinite integral:

\int 7 e^{- \frac{y}{2}} d y = - 14 e^{- \frac{y}{2}} + C

Compute the boundaries:

\int_{4}^{\infty} 7 e^{- \frac{y}{2}} d y = 0 - (- \frac{14}{e ^{2}})

= 0 - (- \frac{14}{e ^{2}})

Simplify

= \frac{14}{e ^{2}}

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What is the integral from 4 to infinity of 7e^{-y/2} ?
The integral from 4 to infinity of 7e^{-y/2} is (14)/(e^2)