Question

Evaluate the integral: (Question will be posted ASAP)

Answer 1

\[\int\limits_{2}^{4}\frac{ dx }{ x(\ln x)^2 }\]

Answer 2

put t=ln x

Answer 3

use u-substitution, try setting u=lnx

Answer 4

then dx/x = dt

Answer 5

I'm confused because I managed to get to 1/ln2 -1/ln4 using that method but the answer in my booklet is \[2\sqrt{\ln(secx+tanx)}+c\]

Answer 6

\[\int\limits \frac{dt}{t^2} = ??\]

Answer 7

Haha I know right? guess my answer booklet made a mistake. Alright, hartnn, can you show me your steps for this? so that I can compare it mine :)

Answer 8

You should show your steps first so that @hartnn can compare if he or she has done it right or not..

Answer 9

@lightchaste , your answer is correct

Answer 10

yup, sorry 1/ln2 -1/ln4 is correct.......

Answer 11

oh, really? haha. Should that be the final answer?

Answer 12

it can be simplified to 1/ln 4

Answer 13

yeaaaahhh how do you do just that?? :)

Answer 14

ln 4 = 2 ln 2

Answer 15

could u get 1/ln 4 now?

Answer 16

yeah! I got it :D thank you sooo much :)

Answer 17

welcome :)