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Popular Calculus >

integral of y*e^y

Solution

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

Solution

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

Solution steps

\int y e^{y} d y

Apply Integration By Parts

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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