$\"\"$

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The equations of the graphs are $\"\"$ , $\"\"$ and $\"\"$ .

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Find the area of the region bounded by the graphs.

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Graph the equations $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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The area of the region bounded between $\"\"$ to $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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$\"\"$ on interval $\"\"$ .

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$\"\"$

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Area of the region:

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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 $\"\"$ .

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The area of the region is $\"\"$ .

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$\"\"$

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Let $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Apply formula 84: $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The area of the region is $\"\"$ .

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$\"\"$

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The area of the region is $\"\"$ .