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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

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Frequently Asked Questions (FAQ)

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