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Popular >

integral of 1/(e^x)

Solution

integral

\frac{1}{e ^{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 1/(sqrt(x^2+7))

\int \frac{1}{x ^{2} + 7} d x

integral of cos(x)(sin(x))

\int cos (x) (sin (x)) d x

integral of 2/x+(3-x)/(x^2+1)

\int \frac{2}{x} + \frac{3 - x}{x ^{2} + 1} d x

integral of x^2(1-2x^3)^5

\int x^{2} (1 - 2 x^{3})^{5} d x

integral of (2x^3-x^2+3)/(x^2-2x-3)

\int \frac{2 x ^{3} - x ^{2} + 3}{x ^{2} - 2 x - 3} d x

Frequently Asked Questions (FAQ)

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