Solve integration over 1 to 4 for the function
square of x by Simpson's 3/8 rule n=0.5

To solve the integral of \( f(x) = x^2 \) over the interval \([1, 4]\) using Simpson's 3/8 rule, we must first confirm the number of subintervals (n) and then apply the rule.

However, it seems like there's some confusion with the value given for \( n \). Simpson's 3/8 rule requires \( n \) to be a multiple of 3. You mentioned \( n = 0.5 \), which doesn't align with this requirement. Typically, \( n \) is the number of subintervals, not the size of the step. Could you please clarify if \( n = 0.5 \) was meant to represent the step size \( h \) instead?

If the intention was to use \( n = 3 \) subintervals, I can proceed with the calculation. Let me know how you'd like to proceed.

Learn how to integrate the function f(x) = x^2 over the interval [1, 4] using Simpson's 3/8 rule. Understand the application of numerical methods in calculus and the specific use of Simpson's 3/8 rule for accurate integration. Suitable for college-level students and anyone interested in numerical integration methods.

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