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Popular >

integral of 1/(e^t)

Solution

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

Solution

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

Solution steps

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

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^{t}

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

Add a constant to the solution

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

Graph

Popular Examples

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n = 5 \sum \infty \frac{4}{7 ^{n}}

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

(\partial)/(\partial x)(sin^2(x-y))

\frac{\partial}{\partial x} (sin^{2} (x - y))

Frequently Asked Questions (FAQ)

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