How do I calculate the actual value of P after making changes?

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I need help on the following problems. I am not sure how to even start number 5. Will you please check over my work. The questions and my work are attached in a word document, I tried copying it but the equations did not copy. Any help will be greatly appreciated.
 

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First, many people will not even open a Word file for fear of viruses. It's not THAT difficult to type your problems in! You don't even know how to start number 5?
Calculate the actual value of P given in number 2. The calculate the actual value of P after making the changes given in number 3. Subtract!
 

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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