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the question said what is the antiderivative of

x^2+2x-1/2x^3 +3x^2 - 2x

valid only when x > 1/2.

anyway i had poor background in math and working hard to catch up...

I dont understant why "valid only when x > 1/2".

if you integrate that indefinte integral when do you have to do to make sure relate x>1/2