What is the integral of rsin(r) ?

The integral of rsin(r) is -rcos(r)+sin(r)+C

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integral of rsin(r)

\int r sin (r) d r

- r cos (r) + sin (r) + C

Solution steps

\int r sin (r) d r

Apply Integration By Parts

: - r cos (r) - \int - cos (r) d r

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

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

= - r cos (r) - (- sin (r))

Simplify

= - r cos (r) + sin (r)

Add a constant to the solution

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

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