What is the integral of ye^{0.2y} ?

The integral of ye^{0.2y} is 5e^{0.2y}y-25e^{0.2y}+C

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integral of ye^{0.2y}

\int y e^{0.2 y} d y

5 e^{0.2 y} y - 25 e^{0.2 y} + C

Solution steps

\int y e^{0.2 y} d y

Apply Integration By Parts

: 5 e^{0.2 y} y - \int 5 e^{0.2 y} d y

= 5 e^{0.2 y} y - \int 5 e^{0.2 y} d y

\int 5 e^{0.2 y} d y = 25 e^{0.2 y}

= 5 e^{0.2 y} y - 25 e^{0.2 y}

Add a constant to the solution

= 5 e^{0.2 y} y - 25 e^{0.2 y} + C

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What is the integral of ye^{0.2y} ?
The integral of ye^{0.2y} is 5e^{0.2y}y-25e^{0.2y}+C