Question

Please help! question below *medal and fan*

Answer 1

\[\int\limits_{\sqrt{2}}^{2} \ \frac{ dx }{ x \sqrt{x ^{2}-1} }\]

Answer 2

i know the final answer is pi/12 but i dont know how to get it

Answer 3

do u know trigonometric substitution?

Answer 4

kinda

Answer 5

isnt the integral of \[\frac{ 1 }{ x \sqrt{x ^{2}-1} }\] equal to sec^-1??

Answer 6

yes

Answer 7

so now i do sec^1(2) - sec^-1(sqrt(2))???..

Answer 8

@julian25