Reparmetrization of a curve, got it, but I don't nkow what this answer means

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Hello everyone, i was suppose to reparametrize the equation, which I did, and then conclude what i can say about the curve, this is the part where I'm not sure about. ANy suggestions? Thanks.
Here is my work and problem:
http://show.imagehosting.us/show/764292/0/nouser_764/T0_-1_764292.jpg
or if that link is slow try here:
http://img208.imageshack.us/img208/4946/rep9ik.jpg
 
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None of your links work.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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