6.3.pdf - Section 6.3 Polar Forms Area Polar Coordinates...

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Section 6.3: Polar Forms & Area
Rectangular coordinates were horizontal/vertical directions for reaching the point Eg: 3, in polar 4 π Polar coordinates are "as the crow flies"directions Polar Coordinates
Same point
Graph r = 3 Graph = 4 π θ
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 .)