Step 1: \ \

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The function $\"\"$ . \ \

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Solve for $\"\"$ . \ \

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$\"\"$ \ \

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Formula : $\"\"$ \ \

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$\"\"$ is the depth of the fluid at $\"\"$ .

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$\"\"$ is the horizontal length of the region at $\"\"$ . \ \

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Depth $\"\"$ \ \

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Length $\"\"$ \ \

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In this case $\"\"$ \ \

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$\"\"$ \ \

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The depth of the tank varies from 0 to 4. \ \

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$\"\"$ \ \

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The weight density of water $\"image\"$ pounds per cubic foot. \ \

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$\"\"$ \ \

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Step 2: \ \

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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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$\"\"$

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$\"\"$ \ \

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Solution: \ \

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Fluid force $\"\"$ pounds. \ \

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