Repeated Integration by Parts
∫x³sin(2x) dx =
A
-x³cos(2x)/2 + 3x²sin(2x)/4 + 3xcos(2x)/4 - 3sin(2x)/8 + C
B
-x³cos(2x)/2 + 3x²sin(2x)/4 - 3xcos(2x)/4 + 3sin(2x)/8 + C
C
x³sin(2x)/2 - 3x²cos(2x)/4 - 3xsin(2x)/4 + 3cos(2x)/8 + C
D
-x³cos(2x)/2 + 3x²sin(2x)/4 + 3xcos(2x)/4 - 3sin(2x)/4 + C
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