MIT
18 02 -
Lecture 16 Double integrals
Unformatted text preview:
View Full Document
Example Find the area between y x and y x 2x Lecture 16 Double integrals x y A Area 1 y x Integration in Polar Coordinates Area of a circle or radius r r Area can be given by twice the top area 1 y x Area 2 r x Instead we can use polar coordinates Upper half Region where limits will be constant in polar Area Center of mass Region R Density function x y Center of mass x y Mass M x y A M Find the x coordinate Moments of inertia how dif cult it is to spin something I p x y x y A When the line L is the z axis this is called I R disk or radius a about zero Area inside r 1 and r 2sin0 We must nd the limits of integration Find where the two curves intersect A
View Full Document
Unlocking...