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61

Step-by-step Answer
PAGE: 556SET: ExercisesPROBLEM: 61
Please look in your text book for this problem Statement

The equations of the graphs are ,  and .

Find the area of the region bounded by the graphs.

Graph:

Graph the equations ,  and .

Observe the graph :

The area of the region bounded between  to .

Consider  and .

 on interval .

Area of the region:

If  and  are continuous on   for all  in , and non-negative on the closed interval , then the area of the region bounded by the graphs of and , and the vertical lines  and  is .

The area of the region is .

Apply formula 21: .

Here ,  and .

The area of the region is .

The area of the region is .



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