How do I evaluate the following improper integral?
2
∫ dx / sqrt(4 - x^2).
-2
I know that the integral is arcsin(x/2) and that the area beneath the curve and between the boundaries is equal to pi. I also know that the function is undefined at the boundaries and they should each be replaced with a constant and that the limit should be taken when after plugging in the limits. However, I'm getting stuck. Can someone please show me the steps after finding the antiderivative? Thanks

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Well you know to integrate first right? Can you do that?

Yes, I already did that. The integral is arcsin(x/2).

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