Evaluate the integral

Question

interval from [0 to pi] t sin(3t)dt
Use integration by parts
u=t and dv=sin(3t)dt. then du=dt and v=-cos(3t)/3

here is my problem but Im having problem to solve with pi.

∫t sin(3t)dt
= -tcos(3t)/3 - ∫[-cos(3t)/3]dt
=-tcos(3t)/3 + sin(3t)/9 ](o,pi)

Answer 1

Your integral is correct, so we get

[ -πcos(3π) /3 + sin(3π) /9] - [ 0 + sin(0)/9]
= -π(-1)/3 + 0/9 - 0
= π/3

Answer 2

its correct answer. thanks