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Step 1: Divide the interval of integration into an even number of subintervals.
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Step 2: Determine the step size h by dividing the interval width by the number of subintervals.
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Step 3: Calculate the sum of the function values at the endpoints of the interval.
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Step 4: Calculate the sum of the function values at the interior points of the subintervals, excluding the endpoints.
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Step 5: Multiply the sums from step 3 and step 4 by the appropriate coefficients for Simpson's rule.
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Step 6: Add the results from step 5 to get the final approximation of the integral using Simpson's rule.

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Students studying calculus or numerical methods
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Simpson's rule is a method for numerical integration to approximate the area under a curve by using quadratic approximations.
Anyone who needs to find an approximate value of a definite integral can use Simpson's rule for integration.
To fill out Simpson's rule for integration, divide the interval into an even number of sub-intervals, apply the formula for Simpson's rule, and sum up the results.
The purpose of Simpson's rule for integration is to provide a simple and accurate method to estimate the area under a curve.
The intervals, function values at the endpoints of each interval, and the coefficients used in Simpson's rule must be reported on Simpson's rule for integration.
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