$\"\"$

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The function is $\"\"$ .

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(a) Determine $\"\"$ by Trapezoidal Rule:

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Here $\"\"$ , $\"\"$ and $\"\"$ .

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Find $\"\"$ :

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Trapezoidal rule:

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$\"\"$

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Where, $\"\"$ and $\"\"$ .

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End points are $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b) Determine $\"\"$ by Midpoints Rule:

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Number of subintervals are $\"\"$ .

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Here $\"\"$ , $\"\"$ and $\"\"$ .

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Width of the interval $\"\"$ .

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$\"\"$ , where $\"\"$ .

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Mid points are $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(c) Determine $\"\"$ by Simpsons rule:

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The function is $\"\"$ , $\"\"$ and $\"\"$ .

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The Simpsons Rule for approximating $\"\"$ is given by

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$\"\"$ ,

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Where, $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .

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(c) $\"\"$ .