What is the integral of u^2cos(u) ?

The integral of u^2cos(u) is u^2sin(u)-2(-ucos(u)+sin(u))+C

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integral of u^2cos(u)

\int u^{2} cos (u) d u

u^{2} sin (u) - 2 (- u cos (u) + sin (u)) + C

Solution steps

\int u^{2} cos (u) d u

Apply Integration By Parts

= u^{2} sin (u) - \int 2 u sin (u) d u

\int 2 u sin (u) d u = 2 (- u cos (u) + sin (u))

= u^{2} sin (u) - 2 (- u cos (u) + sin (u))

Add a constant to the solution

= u^{2} sin (u) - 2 (- u cos (u) + sin (u)) + C

What is the integral of u^2cos(u) ?
The integral of u^2cos(u) is u^2sin(u)-2(-ucos(u)+sin(u))+C