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MATLAB ONLY Consider the following polynomial f(x) = -x^4 + 6x^2 + 1 a. Calculate the numerical integral from -5 to 5 using intervals of

MATLAB ONLY

Consider the following polynomial

f(x) = -x^4 + 6x^2 + 1

a. Calculate the numerical integral from -5 to 5 using intervals of 1, 0.1, and 0.01.

b. For all three resulting sets, calculate the average and standard deviation of the absolute value of the difference of between your output and the actual values you get from a symbolic differentiation.

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