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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

Popular Examples

integral of 2/9 xe^{-(x/3)^2}

\int \frac{2}{9} x e^{- (\frac{x}{3})^{2}} d x

integral of (8x)/(e^x)

\int \frac{8 x}{e ^{x}} d x

integral of sqrt(1-sin(θ))

\int 1 - sin (θ) d θ

integral of (2^{ln(z^3)})/(16z)

\int \frac{2 ^{l n (z^{3})}}{16 z} d z

integral of (20)/(0.05t+8)

\int \frac{20}{0.05 t + 8} d t

Frequently Asked Questions (FAQ)

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