Question

Integrate:-
\[
\int_1^\infty \frac{1}{\sqrt{x(x^2-1)}}dx
\]

Answer 1

will try

1) x = 1/y
2) Beta Function

Answer 2

looks like it might work ... should have realized when i saw fraction of gamma functions.

Answer 3

infact
x^2 = 1/y

Answer 4

same thing ... you can make replacements later.

Answer 5

yup, now we just need to find the exponents of y and 1-y

Answer 6

since wolf gave me elliptic functions as results of indefinite results it was bugging me.

Answer 7

1/ sqrt (x (x-1)) would be more interesting.....it won't converge...

Answer 8

it is same as 1/x ... whose integral is log(x) ... as x->inf ... log(x) diverges.

Answer 9

:D

Answer 10

(y)