( ∫ ^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© BrainMass Inc. brainmass.com March 4, 2021, 5:53 pm ad1c9bdddf
I show the same integral like this:
First we must solve
int(1/(sqrt(x^2+y^2),y=sqrt(2x-x^2)..0) and of course we must ...
A double integral is solved. The polar coordinates are analyzed.