Solving Surface Concentration Integration Problem | Homework Help

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Homework Statement


I am trying to integrate the following
int[dT/dy*1/(x-t)^1/2 dt], Where T is the surface concentration, I have also tried it in MATLAB and get no solution can some one tell me how I can do it.

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The Attempt at a Solution



Homework Statement


Homework Equations


The Attempt at a Solution

 
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i'm having a hard time figuring out what your problem is

also, show at least an effort
 
T is "the" surface concentration? Concentration of what? Obviously, in order to do that integration you need to know T as a function of y- and y as a function of t.
 
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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