Multivariable Calculus : Double Integral - Polar Coordinate
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( ∫ ^n_r means that n is on the top of the ∫ and r is on the bottom) Evaluate the given integral by first converting to polar coordinates:
∫ ^2_1 ∫ ^(square root of 2x - x^2)_0 (1/(square root of x^2 + y^2)) dy dx
∫: is the integral symbol
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Solution Summary
A double integral is solved. The polar coordinates are analyzed.
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I show the same integral like this:
int(int(1/(sqrt(x^2+y^2),y=sqrt(2x-x^2)..0),x=1..2)
First we must solve
int(1/(sqrt(x^2+y^2),y=sqrt(2x-x^2)..0) and of course we must ...
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