Solve Indefinite Integral: 1/(x(sqrt(x^2 - 4)))

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 2K views
sausu
Messages
2
Reaction score
0

Homework Statement



integral 1/(x(sqrt(x^2 - 4)))

Homework Equations



I don't know if there are any "equations" for integrals...


The Attempt at a Solution



Int(1/(x(Sqrt(4(x^2 /4)-1)
Int(1/(2x(Sqrt((x^2 /4)-1)
1/2 int(1/(x(Sqrt((x /2)^2)-1)
U-sub
u=x/2
du=1/2 dx
2du= dx
(This is where I hit a wall..I have no clue what I'm doing)
 
Physics news on Phys.org
For this one, you'll want to use a trig substitution instead of a regular u-substitution.
 
Bohrok said:
For this one, you'll want to use a trig substitution instead of a regular u-substitution.

We never learned how to do a trig substitution...
BTW I'm only in Calculus BC. We're just learning the basics of integrating.