22x dx to 6 decimal places 1. Use Simpson's Rule with 8 subintervals to approximate Compare...
7 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate 8 dx. The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
3 11 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate dx. 1 + x2 The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) 5 Use Simpson's rule with n=4 (so there are 2n = 8 subintervals) to approximate OX dx and use the fundamental theorem of calculus to find the exact value of...
Approximate the integral below using 4 subintervals and: (x + 1) dx (a) The Simpson's rule (5 points): (b) Compare your estimate with the exact value of the integral. (5 points)
4. -1 POINIS Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n Round your answer to four decimal places and compare the results with the exact value of the definite integral dx, 4 Trapezoidal Simpson's exact Need Help? Read Talkie Tur
-4 using Estimate the minimum number of subintervals to approximate the value of 5 sin (x9)dx with an error of magnitude less than 2x 10 -6 a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule. The minimum number of subintervals using the trapezoidal rule is (Round up to the nearest whole number.) The minimum number of subintervals using Simpson's rule is (Round up to the nearest even whole number.) -4 using Estimate...
(a) Estimate So sin(x + 1) dx by using either Simpson's Rule or Trapezoidal Rule with n= 6 (Round the answer to 6 decimal places). (b) Estimate the minimum number of subintervals needed to approximate the integrals with an error of magnitude less than 10-4 by the rule you used in part (a).
Numerical Methods Consider the integral 2 (a) [16 marks] Use the composite Simpson's rule with four intervals to calculate (by hand) approximate value of the integral Calculate the maximum value of the error in your approximation, and compare it with the true error. (b) 19 marks] Determine the number of subintervals n and the step size h so that the composite Simpson's rule for n subintervals can be used to compute the given integral with an accuracy of 5 ×...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 5 3 cos(6x) n = 8 dx, X 1 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 4 In(1 + ex) dx, n = 8 Jo (a) the Trapezoidal Rule X (b) the Midpoint Rule (c) Simpson's Rule 8.804229
Help Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) V 1 + x2 dx, n = 8 Jo (a) the Trapezoidal Rule 2.41379 (b) the Midpoint Rule 1.164063 (c) Simpson's Rule 1.17