$\"\"$

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(a)

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Find the area of the region using Trapezoidal Rule.

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Observe the graph the area of the region bounded betwen $\"\"$ to $\"\"$ .

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The number of subintervals are $\"\"$ .

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The area of the region is $\"\"$ .

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Observe the graph:

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The function values are

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$\"\"$ and $\"\"$ .

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Trapezoidal rule :

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The area of the shaded region using Trapezoidal rule is $\"\"$ square units.

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$\"\"$

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(b)

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Find the area of the region using Simpsons Rule.

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Simpsons Rule:

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The area of the shaded region using Simpsons rule is $\"\"$ square units.

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$\"\"$

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(a) The area of the shaded region using Trapezoidal rule is $\"\"$ square units.

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(b) The area of the shaded region using Simpsons rule is $\"\"$ square units.