Integral of (x^2)*sin(3x) (by parts)

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00:00 Parts: Integral of u dv = uv - Integral of v du
00:13 Choose u and dv
00:24 Differentiate u to get du
00:31 Integrate dv to get v
00:41 Substitute u, v and du
01:05 Rewrite expression
01:25 Parts: Integral of u dv = uv - Integral of v du
01:39 Choose u and dv
01:49 Differentiate u to get du
01:56 Integrate dv to get v
02:06 Substitute u, v and du
02:48 Rewrite expression
03:31 Integrate sin(3x)dx
03:58 Simplify expression
04:24 Add integration constant +C
04:40 Final answer!

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