posted by gerrard .
Using an integration formula,what is the indefinite integral of (sign for integral)(cos(4x)+2x^2)(sin(4x)-x)dx. Any help very much appreciated.
An interesting problem! In fact, it would make a good exam question, because you need to know four rules to calculate the integral, or equivalent to four short questions.
=(1/4)∫udu (use the power rule)
Use integration by parts:
Use integration by parts, similar to (2) above.
use the power rule.
Post your answer for a check if you wish. Do not forget the constant of integration (C).