Question

Find the integral

1
----
x(ln(x))^6

Answer 1

I guess we could start out with \[x^-1 * (\ln(x))^{-6}\]

Answer 2

better:
\[\ln(x)^{-6}/x\]
and solve by substitution

Answer 3

or actually keep it as 1/x for the du

Answer 4

u = ln(x)
du = 1/x dx

Answer 5

yes

Answer 6

so it's going ot be u^-6 du

Answer 7

nice! :D

Answer 8

\[\frac{u^{-5}}{5} + c?\]

Answer 9

\[\frac{(\ln(x))^{-5}}{5} + c?\]

Answer 10

don't forget - sign

Answer 11

\[-\frac{(\ln(x))^{-5}}{5} + c?\]

Answer 12

yes

Answer 13

Been doing stupid stuff like that all day... Have the worst headache :(

Answer 14

:)

Answer 15

:D