Question

Evaluate the integral ((lnx)^3)/x dx

Answer 1

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

Answer 2

try a u-sub. :)

Answer 3

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

Answer 4

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

Answer 5

then it will become simple

Answer 6

\[\ln \left| x \right| \frac{ \ln x ^{4} }{ 4 } +C\]

Answer 7

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

Answer 8

is this correct, or did I make a mistake?

Answer 9

correct

Answer 10

cool ^_^

Answer 11

thanks!