Question: 1. Consider the following function: f(x)=exx, which is continuous on the interval [1,3]. Use this function to answer the following: (a) [2 marks] Find the

 1. Consider the following function: f(x)=exx, which is continuous on the

1. Consider the following function: f(x)=exx, which is continuous on the interval [1,3]. Use this function to answer the following: (a) [2 marks] Find the actual integral value for this function. (b) [10 marks] Use Composite Newton-cotes formula to find the numerical integration for 4 segments. (c) [4 marks] Compute the error in percentage between the results obtained in the previous two parts. How can we decrease the error more? (d) [4 marks ] Use the Simpson rule to find the numerical integration

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