Question: 6.2. This problem concerns using numerical methods to calculate the integral Note that the exact value is, I(e2 - e-2)/2 (a) Using the composite trapezoidal

6.2. This problem concerns using numerical methods to calculate the integral Note that the exact value is, I(e2 - e-2)/2 (a) Using the composite trapezoidal rule, and 4 subintervals, find an approx- (b) Using the composite Simpson's rule, and 4 subintervals, find an approx- (c) Using the composite Hermite rule, and 4 subintervals, find an approxi- (d) Using the composite trapezoidal rule, how small does the step size h have e) Using the composite Simpson's rule, how small does the step size h have (f) Using the composite Hermite rule, how small does the step size h have imate value for the integral. What is the error? imate value for the integral. What is the error? mate value for the integral. What is the error? to be to guarantee that the numerical error is less than 10-6? to be to guarantee that the numerical error is less than 10-6? to be to guarantee that the numerical error is less than 10-6
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