Multivariable Calculus : Double Integral - Polar Coordinate
Not what you're looking for? Search our solutions OR ask your own Custom question.
( ∫ ^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 May 24, 2023, 1:17 pm ad1c9bdddfhttps://brainmass.com/math/vector-calculus/multivariable-calculus-double-integral-polar-coordinate-16110
Solution Preview
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 ...
Solution Summary
A double integral is solved. The polar coordinates are analyzed.
$2.49