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Popular >

integral of e^y-1

Solution

\int e^{y} - 1 d y

Solution

e^{y} - y + C

Solution steps

\int e^{y} - 1 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{y} d y - \int 1 d y

\int e^{y} d y = e^{y}

\int 1 d y = y

= e^{y} - y

Add a constant to the solution

= e^{y} - y + C

Popular Examples

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

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derivative of y=((2x-3)/((x^2+4)^2))derivative of

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slope ofintercept (1,4),(4,1)slope intercept

(1, 4), (4, 1)

sum from n=0 to infinity of ((n!)^2)/(2^{n^2)}

n = 0 \sum \infty \frac{( n ! ) ^{2}}{2 ^{n^{2}}}

Frequently Asked Questions (FAQ)

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