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This module allows you to estimate the value of a denite integral for a variety of different functions. You can interpret a denite integral graphically
This module allows you to estimate the value of a denite integral for a variety of different functions. You can interpret a denite integral graphically as the net area under the graph of a function. In other words, you look at the area enclosed by the graph of the tundion and the xaxis, and any area below the xaxis is subtracted from the area above the .xaxis. You can use Riemann sums to estimate the net area, where you approximate the enclosed region with redangles using left or right endpoints or midpoirs to determine the height, or you than select Simpson's Rule or the Trapezoidal Rule. In each case, the module will compute the estimated value and display a graph of the area computed. You can improve the approximation by increasing the number of subintervais, and you can see the error in the estimated value both graphically and numerically. Slmulaon BExertise Use Simpson's Rule with 10 subintervals to estimate the area under the graph ofy= U.2X2 for 2 s XS 4. E Explain why the error is exactly [1, I This answer has not been graded yet. 14. [10.19 Points] DETAILS SCALCETQ 7.7.030. 01100 Submissions Used I MY NOTES I ASK YOUR TEACHER I The widths (in meters) of a kidneyshaped swimming pool were measured at 2meter intervals as indicated in the gure below. Use Simpson's rule with n = 8 to estimate the area of the pool. (Round your answer to the nearest square meter.) Need Help
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