6.6 Area Between Two Curves
Objective:
To find the area bounded by two curves.
Find the area of the shaded region:
Sketch the graphs of the function f and g , and find the area of the region enclosed by
these graphs and the vertical lines x  a and x  b
f ( x)  2 x  x 2 , g ( x)  3; a  1, b  2
1
f ( x)  x 2  5, g ( x)  x 3 ; a  1, b  2
3
Find the area of the region completely enclosed by the graphs of the given functions.
f ( x)  x  2, g ( x)  x 2  4
Find the area of the region completely enclosed by the graphs of the given functions.
f ( x )  x 3  6 x 2  9 x, g ( x )  x
Find the area of the region completely enclosed by the graphs of the given functions.
1
f ( x)  x x  2, g ( x)  x
2