let u=lnx and you have f'(x) = u^2 du
f(x) = 1/3 ln^3(x)+C
1/3 ln^3(3)+C = 7
C = 7 - 1/3 ln^3(3)
f(x) = 1/3 ln^3(x) + 7 - 1/3 ln^3(3) ≈ 1/3 ln^3(x) + 6.558
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