The equations are , , and .
Consider and .
Area of the region:
If and are continuous on and for all in , then the area of the region bounded by the graphs of and and the vertical lines and is .
Graph the equations and .
Observe the graph:
Area of the region bounded by and is from to .
The two curves are symmetric about -axis and on interval .
The area enclosed by the curves is .
Consider integrand .
Partial decomposition:
.
Substitute in the expression (2).
Substitute in the expression (2).
Substitute and in (1).
.
The area of the region bounded by the graphs is .
The area of the region bounded by the graphs is .
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