# Mathematica integration

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I am new to Mathematica and did derive the answer to the following but I can not get the information as to the steps taken to derive it.

I am using the trapezoidal and Simpson's rules to evaluate

S20 x2 dx ( the S should be the variant symbol)

Compare with exact value.

My answer is 8/3 but I can not get Mathematica to show me the steps it took to derive the answer. In my homework assignment I must show the steps plus it does not help me not to understand the process. Can you assist in A) filling in the steps and B) what I need to do to have Mathematica show me the steps

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##### Solution Summary

This shows how to Mathematica to show integration steps

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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