if, for all x, f'(x)=(x-2)^4(x-1)^3 , it follows that the function f has

if, for all x, f'(x)=(x-2)^4(x-1)^3 , it follows that the function f has

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so multiply out (u-1)^2 then multiply each one of those terms by u^3
then integrate term by term

oh you aren't asking to find f

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