What is the integral of (xe^y) ?

The integral of (xe^y) is xe^y+C

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integral of (xe^y)

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

x e^{y} + C

Solution steps

\int x e^{y} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

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

= x e^{y}

Add a constant to the solution

= x e^{y} + C

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