15.4 Double Integrals in Polar Form

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Presentation transcript:

15.4 Double Integrals in Polar Form Write and evaluate double integrals in polar coordinates

Review from 13.1-13.2

BUT for NOW, need to know… We will be learning “change of variables in multiple integrals” in a later section (Jacobians) BUT for NOW, need to know… g’(u) is the Jacobian

For those who forgot, recall…

Recall Part II… Write an equation of a circle with center (1, 0) with radius 1.

A very interesting problem…

Later on (after triple integrals)…

Review of Calculus I and II Look at these slides if you forgot about Limacons Ex. cardiods Review of Calculus I and II

Will be focusing on cardioids (inner loop limacons aka “heart-shaped” figures)

Another polar function you should be aware of…