Asked by samuel

integrate:dx/((x-1)sqrt(x^2-2)
plz show solution i plead
Answered by Steve
see the steps here.

http://www.integral-calculator.com/

Interestingly, wolframalpha.com simplifies it a lot.
Answered by samuel
Sir it won,t solve it for me i tried it....i don,t even no how to use it...plz help me
Answered by Steve
dx/((x-1)sqrt(x^2-2))

OK. First step is a trig substitution.

x = √2 sec(u)
x^2-2 = 2tan^2(u)
dx = √2 sec(u) tan(u) du

now the integral is

sec(u)/(√2 sec(u)-1) du

see what you can do with that.
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