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Popular Calculus >

integral of ue^u

Solution

\int u e^{u} d u

Solution

e^{u} u - e^{u} + C

Solution steps

\int u e^{u} d u

Apply Integration By Parts

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

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

= e^{u} u - e^{u}

Add a constant to the solution

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

Graph

Popular Examples

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(dy)/(dx)+y=e^{-x}

Frequently Asked Questions (FAQ)

What is the integral of ue^u ?
The integral of ue^u is e^uu-e^u+C