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Popular Calculus >

integral of e^x-1

Solution

\int e^{x} - 1 d x

Solution

e^{x} - x + C

Solution steps

\int e^{x} - 1 d x

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^{x} d x - \int 1 d x

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

\int 1 d x = x

= e^{x} - x

Add a constant to the solution

= e^{x} - x + C

Graph

Popular Examples

integral of sqrt(x(x+1/x))

\int x (x + \frac{1}{x}) d x

tangent of f(x)=41x-16x^2,\at x=1

t an g e n t f (x) = 41 x - 16 x^{2}, at x = 1

integral of 1/(1+sin(x)cos(x))

\int \frac{1}{1 + sin ( x ) cos ( x )} d x

maclaurin (1+x)^{-6/5}

ma c l a u r in (1 + x)^{- \frac{6}{5}}

tangent of y=(1-3x)^{10},(0,1)

t an g e n t y = (1 - 3 x)^{10}, (0, 1)

Frequently Asked Questions (FAQ)

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