Review of Polar Coordinates
When converting from Cartesian Coordinates to Polar Coordinates, we say that:
We change all 's and 's into 's and 's. We also use these formulas that could be useful for conversions:
Keep in mind that polar coordinates are useful when we come across circles or ellipses.
Double Integrals in Polar Coordinates
Suppose we have the following integral with region :
Then we can convert it into polar coordinates such that:
Why do we have to convert to polar coordinates? Watch the video and find out!