Are You Correctly Solving a Definite Integral with an Arcsine Function?

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i have to solve a definate integral, and i solved it up to the point where i just have to plug the numbers in, and I am sure that that equation is right, but the upper limit is 2 and the lower limit is 2*3^(1/2)/2 and they get pluged into a arcsine function.
 
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Recheck the problem and you integration. What you describe is impossible.

Did you make a substitution to get arcsine as an anti-derivative? Did you change the limits of integration along with the change of variable?

Please state the precise problem and your 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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