What is the integral of (ycos(x)) ?

The integral of (ycos(x)) is ysin(x)+C

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integral of (ycos(x))

\int (y cos (x)) d x

y sin (x) + C

Solution steps

\int y cos (x) d x

Take the constant out:

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

= y \cdot \int cos (x) d x

Use the common integral:

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

= y sin (x)

Add a constant to the solution

= y sin (x) + C

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