# Integration 0 to a integration 0 to square root of a*a-x*x dx dy

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2015-02-18T22:29:18+05:30

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The upper limit of integration for x, is not clear .  So I will solve for two possibilities.  Please take what ever is relevant to you.   This is a double integral.

If the upper limit for x is "a", then the solution is simpler.

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If the upperlimit in the integration is a, ie., y = a then:
I1 = πa²/4

Now the integral is :

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If the upper limit for integration wrt  x is not  "a", but is "y", then the solution is more complicated.  So we have :

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