A REA B ETWEEN THE C URVES 4-D. If an area is bounded above by f(x) and below by g(x) at all points on the interval [a,b] then the area is given by.

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Presentation transcript:

A REA B ETWEEN THE C URVES 4-D

If an area is bounded above by f(x) and below by g(x) at all points on the interval [a,b] then the area is given by

If an area is bounded on the right by f(y) and on the left by g(y) at all points on the interval [c,d] then the area is given by f(y) g(y)

1) Find the area of the region between the parabola Step one: set them equal To find bounds Step two: determine which is upper curve and which is lower curve Step three: set up integral

2) Find area of the region between

3) Find area bounded by

4) Find area of the region between

H OME W ORK Area between curves worksheet worksheet