Hi, I just learned integration by parts. I'm trying to solve:
I know usually you want u to have the simpler derivative.
I set u=sin(3x+1), du=3cos(3x+1), v=(1/3)x^3, dv=x^2
So using integration by parts, uv- integral vdu
then I went through the steps to get my final answer:
Was my approach right? I wasn't too sure about this one...any help would be great.
There is a rule for how to pick u and dv so that you won't be going in circles (as much, at least!).
It's called the LIATE rule.