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Popular Calculus >

integral of 1+e^x

Solution

\int 1 + e^{x} d x

Solution

x + e^{x} + C

Solution steps

\int 1 + e^{x} 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 1 d x + \int e^{x} d x

\int 1 d x = x

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

= x + e^{x}

Add a constant to the solution

= x + e^{x} + C

Graph

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Frequently Asked Questions (FAQ)

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