Question

I am trying to get the integral

Answer 1

I am writingit now

Answer 2

\[\int\limits_{2}^{4} \left(\begin{matrix}dx \\ /x(lnx)^2\end{matrix}\right)\]

Answer 3

that slash means division

Answer 4

Let u = ln x, du = dx/x, and substitute into the original integral to reduce it to something more recognizable.

Answer 5

so, let = 1nx, okay let me try that, cause i have been letting u = (lnx)^2 and its been a nightmare

Answer 6

I think that plain ln x for u will be munc less of a nightmare.

Answer 7

so in did that and got so far u^-1/-1

Answer 8

That's the same as\[-\int\limits_{}^{}du/u.\]

Answer 9

Familiar?

Answer 10

yup

Answer 11

Get it back to original x and you're done.

Answer 12

i am still stuck at this part: \[\int\limits_{2}^{4} du/u^2\]

Answer 13

i got it

Answer 14

Power formula. Rewrite as\[\int\limits_{}^{}u^{-2}du\]

Answer 15

:^)