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Popular Calculus >

integral of (e^x+y)

Solution

\int (e^{x} + y) d x

Solution

y x + e^{x} + C

Solution steps

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

\int y d x = y x

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

= y x + e^{x}

Add a constant to the solution

= y x + e^{x} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of (e^x+y) ?
The integral of (e^x+y) is yx+e^x+C