1. The difference between the first kind of curve integral and the double integral expressed in the polar coordinate system
The difference mainly comes from the fact that the integration area of the curve integral is the boundary, while the integration area of the double integral is the interior + boundary, and the second is the difference in the selection of the pole positions., the two together cause the difference in the expression of the integral region in polar coordinates, that is, ρ \rhoIs ρ a constant orθ \theta?function of θ
1.1 The situation of the first kind of curve integral in the polar coordinate system
Derive the representation of the arc differential of the curve in the polar coordinate system.
Method 1: Make the pole coincide with the origin.
Method 2: Make the pole coincide with the center of the circle.
1.2 Double integral in polar coordinate system
Method 1: Make the pole coincide with the origin.
Method 2: Make the pole coincide with the center of the circle.
