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I've been studying calculus out of Tom Apostol's book "Calculus". I'm having troube with the following problem in the section on integration by substitution:

Integrate [tex]\int(x^2+1)^{-3/2}\,dx[/tex].

I tried the substitution [tex]u=x^2+1[/tex] but it didn't seem to work. I can't see anything else that may help. Any hints or solution would be greatly appreciated!