The problem involves evaluating a double integral by converting to polar coordinates. The integral is defined over a specific region in the Cartesian plane, with bounds for dy and dx provided.
The discussion is ongoing, with participants seeking to clarify the parameters of integration and the shape of the region involved. Some guidance has been offered regarding the interpretation of the limits, but no consensus has been reached on the setup of the integral.
There is a suggestion that the original integral setup may need reevaluation based on the described region of integration. Participants are encouraged to articulate the geometric interpretation of the bounds.
Can you describe, in words, the region over integration takes place? If you understand this region, you'll pretty much have answered your question about θ.PsychonautQQ said:Homework Statement
Evaluate the integral by changing to polar coordinates.
Double Integral: (x^2+y^2)dydx, where dy is bound between 0 and (4-x^2)^(1/2) and dx is between and -2 and 2
The Attempt at a Solution
okay so I can turn this into
Double Integral: (r^2)rdrdθ
My question is on the parameters of dr and dθ
I really want to say dr goes from 0 to 2.
does dθ go from 0 to 2∏