Question

solve integral

Answer 1

\[\int\limits \cos(\ln(x)dx\]

Answer 2

try let t = lnx

Answer 3

k, done

Answer 4

you got it? A student is you!!

Answer 5

yes yes, just use e^(lnx), etc..., i have \[\int\limits e^t.\cos(t)dt\]

Answer 6

hm?

Answer 7

oh yea, you are right, now take integral by part

Answer 8

twice

Answer 9

i ttried, i failed

Answer 10

hihihi, I didn't try. Now I do, however, I prefer you show your work. Can you?

Answer 11

It's my winter break time, please, please, give me a break. hihihi..

Answer 12

\[u=\cos(t) =>du=-sintdt\]

Answer 13

\[dv=e^t=>v=e^t\]

Answer 14

\[\cos(t).e^t-\int\limits e^t.-sintdt\]

Answer 15

i'm stuck

Answer 16

it's a little bit faster, hihihi... I may make mistake at somewhere, hopefully I didn't
You still have one more step, replace t = ln x

Answer 17

wow, thats alot. but thank you very much