Consider the integral (10 – a²) dx (a) Draw a graph of the area calculated by this integral. Then sketch the trapezoids that would be used to calculate T4, the trapezoid method with four subintervals....

Extracted text: Consider the integral (10 – a²) dx (a) Draw a graph of the area calculated by this integral. Then sketch the trapezoids that would be used to calculate T4, the trapezoid method with four subintervals. You do NOT need to calculate T4. (b) Calculate S4, Simpson's rule with four subintervals. (c) Calculate the exact value of the integral and compare your answer to the estimate found in (b). Explain what you found and why this might have happened.