Question: 1. Use Simpsons Rule with n = 2 equal subdivisions to approximate the integral ln ( x ) dx from 2 to 3. 2. What

1. Use Simpsons Rule with n = 2 equal subdivisions to approximate the integral ln(x)dx from 2 to 3.

2. What is the absolute error in your Simpsons rule approximation in part

3. What is the best error bound that can be achieved using the error bound associated with the SimpsonsRule for the integral ln(x)dx withn = 2 subdivisions?

4. Using midpoint rules error bound, how many subdivisions would you need to guarantee that midpoint rule would approximate this integral with an absolute error of less than 10^(-6)?

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