AREA BETWEEN THE CURVES

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

dxxgxfAb

a )()(

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

dyygyfAd

c )()(

f(y)

g(y)

1) Find the area of the region between the parabola xyxy 1 and 1 2

Step one: set them equalTo 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

2 to0 from )cos( and )sin(

xxxyxy

3) Find area bounded by

3 y to0y from 6 and xyxy

4) Find area of the region between

axis- x theand 3 and 3 xyxy

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