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Popular >

integral of 1/(e^x)

Solution

\int \frac{1}{e ^{x}} d x

Solution

- \frac{1}{e ^{x}} + C

Solution steps

\int \frac{1}{e ^{x}} d x

Apply u-substitution

: \int \frac{1}{u ^{2}} d u

= \int \frac{1}{u ^{2}} d u

Apply the Power Rule

: - \frac{1}{u}

= - \frac{1}{u}

Substitute back

u = e^{x}

= - \frac{1}{e ^{x}}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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