What is the integral of (x^2cos(y)) ?

The integral of (x^2cos(y)) is x^2sin(y)+C

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integral of (x^2cos(y))

\int (x^{2} cos (y)) d y

x^{2} sin (y) + C

Solution steps

\int x^{2} cos (y) d y

Take the constant out:

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

= x^{2} \cdot \int cos (y) d y

Use the common integral:

\int cos (y) d y = sin (y)

= x^{2} sin (y)

Add a constant to the solution

= x^{2} sin (y) + C

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What is the integral of (x^2cos(y)) ?
The integral of (x^2cos(y)) is x^2sin(y)+C