$\"\"$

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The area of the region bounded by the graph of $\"\"$ and the $\"\"$ -axis.

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observe the graph:

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The boundaries of the region are $\"\"$ and $\"\"$ .

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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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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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$\"\"$

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$\"\"$ square units.

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$\"\"$

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Verify the area of region by using graph:

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$\"\"$

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The graph of the integral $\"\"$ .

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Observe the graph:

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$\"\"$ square units.

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$\"\"$

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