What is the integral of zsin(z) ?

The integral of zsin(z) is -zcos(z)+sin(z)+C

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integral of zsin(z)

\int z sin (z) d z

- z cos (z) + sin (z) + C

Solution steps

\int z sin (z) d z

Apply Integration By Parts

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

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

= - z cos (z) - (- sin (z))

Simplify

= - z cos (z) + sin (z)

Add a constant to the solution

= - z cos (z) + sin (z) + C