$\"\"$

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

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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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Evaluate the boundaries of the integral:

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$\"\"$

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Squaring on each side.

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$\"\"$ .

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If $\"\"$ , then $\"\"$ .

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If $\"\"$ , then $\"\"$ .

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$\"\"$

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

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Apply limits: $\"\"$ to $\"\"$ .

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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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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ square units.

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$\"\"$

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Verify integral value using graph:

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

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$\"\"$

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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.