Re: Solve double integral in Polar or Cylindrical Coordinates
Originally Posted by mridgwa
a. ∫∫d (x+y)dA wehre D is bound by the X axis, y- axis, and circles x^{2}+y^{2}=4 and x^{2}+y^{2}=16 and is in the first quadrant
b. ∫∫∫E Z*sqrt(x^2+y^2) dV over the cylinder x^2+y^2<=4 FOR 1<=z<+5
In the first quadrant, the quarter circles have radii 2 and 4 units respectively, and are both swept out between the angles . After making the transformation and and noting that the double integral becomes