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Popular Calculus >

integral of ze^z+e^z

Solution

\int z e^{z} + e^{z} d z

Solution

e^{z} z + C

Solution steps

\int z e^{z} + e^{z} d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int z e^{z} d z + \int e^{z} d z

\int z e^{z} d z = e^{z} z - e^{z}

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

= e^{z} z - e^{z} + e^{z}

Simplify

= e^{z} z

Add a constant to the solution

= e^{z} z + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of ze^z+e^z ?
The integral of ze^z+e^z is e^zz+C