Proving a Relation: Step-by-Step Guide

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hi all i need to prove this relation
[url=http://www.0zz0.com][PLAIN]http://www10.0zz0.com/2009/03/28/13/564830666.png[/url][/PLAIN]
thank you all
 
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You need to show some work first.
 
CFDFEAGURU said:
You need to show some work first.

sorry
i don't under stand your mean
 
You need to show your attempt at a solution.
 
CFDFEAGURU said:
You need to show your attempt at a solution.[/QUOT

i don't have any solution ; i am search about solution
please if you have help me
thank you
 
Seriously, we need to see an attempt by you first before providing help.
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(From https://www.physicsforums.com/showthread.php?t=5374 )
 
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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