- #1

- 15

- 0

∫(sqrt(2),2) (1/(x^3*sqrt(x^2 - 1))

I have the entire indefinite integral worked down to this (using x = a*secø):

ø/2 + 1/4 * sin2ø

Now I have the answer book, so I know that's right so far. What I don't understand is how it converted the points of the integral. Where we started with the integral from sqrt(2),2. The book is telling me that the points now being worked with are pi/4, pi/3.

How did we go from sqrt(2), 2 to pi/4, pi/3 ? I don't understand where that came from. Beyond that, how do I derive those points in general? I'm the first to admit that anything involving trig is by and far my weakest aspect of calculus.

Any help would be greatly appreciated.