Hi guys! I'm doing my Calc homework right now and am having a little trouble with some problems. I did one but I'm not really sure if i did it right. Could you check for me?
∫Sin^5(2x)Cos(2x)
U= Sin(2x)
Du/Dx= Cos(2x)/2
Dx= du/2cos(2x)
(U)^5 Cos(2x) Du/Cos(2x)/2
So the Cos(2x) cancels and I’m left with
½ (U)^5
Now I have to do the anti derivative
1/12U^6
1/2Sin^6(2x)
Is that right? If not, what did I do wrong?