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Popular >

integral of 1/(e^y)

Solution

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

Solution

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

Solution steps

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

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^{y}

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

Add a constant to the solution

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

Popular Examples

integral from-5 to 5 of sqrt(25-x^2)

\int_{- 5}^{5} 25 - x^{2} d x

(dy)/(dx)+(2x)/(1+x^2)y=-2xy^2

\frac{d y}{d x} + \frac{2 x}{1 + x ^{2}} y = - 2 x y^{2}

integral from 1 to x of 2(x-1)

\int_{1}^{x} 2 (x - 1) d x

derivative of f(x)=arctan(x^{10})derivative of

f (x) = arctan (x^{10})

laplacetransform 3t^4+7t^2-5 laplace transform

3 t^{4} + 7 t^{2} - 5

Frequently Asked Questions (FAQ)

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