Section 6.3: Polar Forms & Area

(x,y) 3 Polar Coordinates

Same point

4 2 2

3 1 1

3 1 1

3 1 1

3 1 1

4

2

1. Something is changing, so we can’t use the old algebra formulas. 2. Break the problem into pieces. 3. Pretend everything is constant on each piece and use the old formulas. 4. Add up the pieces. (This is called a Riemann Sum) 5. If we use more and more pieces, the limit is the right answer! (This limit is a definite integral.)

Polar Area

2 3