knowing the standard form for integration by parts is ∫ f(x)g'(x) dx = f(x)g(x) - ∫f'(x)g(x) dx I have what is an innocuous looking part of an equation which I can't solve. the f(x) part in this case is; ln(5x) which is easy enough i.e. 1/x the second part 1/(x(2/3)) is the bit I can't solve. The standard I have for 1/x is ln(x)+c & the standard I have for xn is (1/(n+1))xn+1+c But these don't solve this for me I have checked on WolframAlpha & NumberEmpire & they give the same answer 3 cuberoot 3 I have tried just this bit by itself & go t nowhere. Could someone help with how I should get 3 cuberoot 3, please.