Approximate the integral below using 4 subintervals and: (x + 1) dx (a) The Simpson's rule...
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...
-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...
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
(a) Approximate the definite integral using n-6 equal width subintervals and: the Midpoint Rule. 0 Simpson's Rule. s- 1 ob) Glven that / vd2- 4 tnd ne aboolute valuse of the exact emor to sik deimal pinces In each apprximation trom (e).
22x dx to 6 decimal places 1. Use Simpson's Rule with 8 subintervals to approximate Compare your result with the true value by calculating the simple error, ie |true - approx 12
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. foxt dx, n = 4 (x + 2)2 Trapezoidal Simpson's exact The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 2 - t - 132, 1sts 13 (a) Find the...
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.)
(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).
Problem 10. (1 point) 5." -4 sin x dx a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. c) Find the exact value of the integral.
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