grinnell.12
Evaluate the integral ((lnx)^3)/x dx



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grinnell.12
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\[\int\limits_{?}^{?} ((\ln x)^{3})/x dx\]

jtvatsim
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try a usub. :)

grinnell.12
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I tried I got one result, it's..

vipul92
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put lnx = t
so (1/x)=dt

vipul92
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then it will become simple

grinnell.12
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\[\ln \left x \right \frac{ \ln x ^{4} }{ 4 } +C\]

grinnell.12
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since the antiderivative of 1/x dx=ln abs(x) +C

grinnell.12
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is this correct, or did I make a mistake?

vipul92
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correct

grinnell.12
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cool ^_^

grinnell.12
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thanks!