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Popular Calculus >

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

Graph

Popular Examples

derivative of (x-1/x ^{5/2})

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

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

d er i v a t i v e y = (\frac{2 x - 3}{( x ^{2} + 4 ) ^{2}})

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

s l o p e in t erce pt (1, 4), (4, 1)

derivative of y=(2x+e^{-x^2})^3

d er i v a t i v e y = (2 x + e^{- x^{2}})^{3}

(dP)/(dt)=P(a-bP)

\frac{d P}{d t} = P (a - b P)

Frequently Asked Questions (FAQ)

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