$\"\"$

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Model for the metabolism rate of a young man is $\"\"$ , where $\"\"$ is the time in hours.

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Determine the total metabolism of this man over a $\"\"$ -hour time period , $\"\"$ .

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$\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Change in integral limits:

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Lower limit: If $\"\"$ then $\"\"$ .

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Upper limit: If $\"\"$ then $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ kcal.

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$\"\"$

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$\"\"$ kcal.