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**Homework Statement**

Integrate the square root of (x^2 -1) over the interval 0-1.

**The attempt at a solution**

First off, I know this is a quarter of a circle, but I'm not supposed to solve it that way.

Now then:

x = sec theta

dx= sec tan theta.

square root (x^2-1) dx

becomes

square root (sec^2-1) sec tan

Square root (tan^2) sec tan

tan sec tan

sec tan^2

This is as far as I can get- I can't see any u substitutions that would work here, and don't know this integral off the top of my head either.