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Popular Calculus >

integral of 1/(e^{-y)}

Solution

\int \frac{1}{e ^{- y}} d y

Solution

e^{y} + C

Solution steps

\int \frac{1}{e ^{- y}} d y

Simplify

\frac{1}{e ^{- y}} : e^{y}

= \int e^{y} d y

Use the common integral:

\int e^{y} d y = e^{y}

= e^{y}

Add a constant to the solution

= e^{y} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1/(e^{-y)} ?
The integral of 1/(e^{-y)} is e^y+C