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Popular Calculus >

integral of ye^y-e^y

Solution

\int y e^{y} - e^{y} d y

Solution

e^{y} y - 2 e^{y} + C

Solution steps

\int y e^{y} - e^{y} d y

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 e^{y} d y - \int e^{y} d y

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

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

= e^{y} y - e^{y} - e^{y}

Simplify

= e^{y} y - 2 e^{y}

Add a constant to the solution

= e^{y} y - 2 e^{y} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of ye^y-e^y ?
The integral of ye^y-e^y is e^yy-2e^y+C