What is the integral of-ysin(z) ?

The integral of-ysin(z) is ycos(z)+C

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integral of-ysin(z)

\int - y sin (z) d z

y cos (z) + C

Solution steps

\int - y sin (z) d z

Take the constant out:

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

= - y \cdot \int sin (z) d z

Use the common integral:

\int sin (z) d z = - cos (z)

= - y (- cos (z))

Simplify

= y cos (z)

Add a constant to the solution

= y cos (z) + C

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