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Popular Calculus >

integral of 1+e^v

Solution

integral

1 + e^{v}

Solution

v + e^{v} + C

Solution steps

\int 1 + e^{v} d v

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 v + \int e^{v} d v

\int 1 d v = v

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

= v + e^{v}

Add a constant to the solution

= v + e^{v} + C

Graph

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Frequently Asked Questions (FAQ)

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