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Finding the Area Between Curves (maybe?) Spirals Go Round in Circles
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Page 1: AP Calculus January 14, 2009

Finding the Area Between Curves(maybe?)

Spirals Go Round in Circles

Page 2: AP Calculus January 14, 2009
Page 3: AP Calculus January 14, 2009

The Second Fundamental Theorem of Calculus

If ƒ is a continuous function on some interval [a, b] and an accumulation

function A is defined by then

Let's look at this geometrically ...

Page 4: AP Calculus January 14, 2009

Given each accumulation function A(x), find it's derivative A'(x).

Page 5: AP Calculus January 14, 2009

Sketch the graph ƒ(t) = t and complete the table of values for the function A(x).

x 0 1 2 3 4

x 0 -1 -2 -3 -4

Page 6: AP Calculus January 14, 2009

Given each accumulation function A(x), find it's derivative A'(x).

Page 7: AP Calculus January 14, 2009

Accumulation functions are COMPOSITE FUNCTIONS!

Page 8: AP Calculus January 14, 2009

Given each accumulation function find it's derivative.