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I can approximate an integral using the trapezoidal rule and Simpson's rule. I can determine when each of these rules represents an over-estimate or an
I can approximate an integral using the trapezoidal rule and Simpson's rule. I can determine when each of these rules represents an over-estimate or an underestimate of the actual value of an integral. I can provide an upper bound on the error produced by each of these methods. 1 1. Use Simpson's rule to estimate the value of the integral dx with an error of less than 0.01. Jo V1+x3 You will need to first determine the number n of intervals are needed to obtain this error bound. You should use Geogebra to aid you in determining the value of n. You may also use Geogebra to evaluate the function at the required values of x. You must show the values you have obtained (i.e. the values of n and the values of the integrand at the appropriate values of x
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