Can someone check if I computed correctly?

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goonking said:

Homework Statement


http://imgur.com/weSQaBE
You did not.

Please use the template as well as following other rules for posting in the homework forum.
 
SammyS said:
You did not.

Please use the template as well as following other rules for posting in the homework forum.
ok thanks.

am I not suppose to multiply both sides by ln?
 
Please enter your work rather than post an image of it. This makes your post searchable and it will last the lifetime of PF. Using an image means it will disappear when it expires from imgur.com
 
jedishrfu said:
Please enter your work rather than post an image of it. This makes your post searchable and it will last the lifetime of PF. Using an image means it will disappear when it expires from imgur.com
I have no idea how to post the question in text. I'm not familiar with latex. Is there anyway I can do it besides using images?
 
You could have entered it without Latex although since you know something about you should learn it. It will become indispensable later on.
 

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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