3. Use Simpson's rule to obtain approximations of each of the following integrals accurate to at...
Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n 4, 8, 16, and 32. The exact value of the integral is given for computing the error. Sax-2) dx 1920 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) Absolute Error in T(n) Absolute Error in T(n) S(n) S(n) 4
Apply 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...
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 Simpson's rule with n = 6 to approximate 3 si cos(c) -dx х Keep at least 2 decimal places accuracy in your final answer
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
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
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.)
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.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
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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
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.) 1/2 0 10 sin(x2) dx, n = 4