$\"\"$

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The integral is $\"\"$ .

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number of sub intervals are $\"\"$ .

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Mid point Rule: $\"\"$ ,

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where width of the interval is $\"\"$ and $\"\"$ .

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Here the function is $\"\"$ .

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Width of the interval : $\"\"$ .

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The end points of four sub intervals are $\"\"$ and $\"\"$ .

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The mid points are $\"\"$ and $\"\"$ .

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$\"\"$

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Mid Point rule :

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$\"\"$ .

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Calculate the corresponding values of the function.

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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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Substitute the corresponding values in $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .