Use the 1/3rd Simpson's rule to evaluate a definite integral of a chosen function in a...

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Use the 1/3rd Simpson's rule to evaluate a definite integral of a chosen function in a given interval by showing the steps and take h=0.1. ii) (10 points) Note that the error bound for Simpson's method is calculated by the formula: |E₂|≤ K(b-a)³ 180n then, evaluate the error bound of this method on this particular example. iii)(10 points) You also find the true value of your definite integral ( analytical solution) and compare the result that you have obtained from the Simpson's rule. Use the 1/3rd Simpson's rule to evaluate a definite integral of a chosen function in a given interval by showing the steps and take h=0.1. ii) (10 points) Note that the error bound for Simpson's method is calculated by the formula: |E₂|≤ K(b-a)³ 180n then, evaluate the error bound of this method on this particular example. iii)(10 points) You also find the true value of your definite integral ( analytical solution) and compare the result that you have obtained from the Simpson's rule.