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*These aren't really homework, but they're probably easy enough to be... so =). These are off some sheet that I found and decided to do, and have gotten stuck on various ones.*

**1. Question 1**

**2. [tex]\int \frac{\mbox{dx}}{x\sqrt{x^2-a^2}}[/tex]**

## The Attempt at a Solution

Okay, first of all, there have been 2 questions prior to this one which only differ under the square root sign; the [tex]a^2[/tex] has come before the [tex]x^2[/tex] in both cases and could be done with my crappy knowledge of doing a trig substitution. However this one has gotten me confused; the [tex]x^2[/tex] term is now before the [tex]a^2[/tex] and I don't think I'm finding the right trig substitution. The sheet provides an answer of [tex]\frac{1}{a}\ arcsec \frac{x}{a}[/tex]... and I have no idea how that came about.

Question 2 to come next.

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