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

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i have to solve a definite 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.