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Approximate the value of the integral by use of the trapezoidal rule, using n=8. 10 S...
Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Find the exact value by integration. 1 - x 3x e dx 0 (a) Use the trapezoidal rule to approximate the integral. 1 Joxe -x² dx~ 0 (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
Determine the smallest n so that the trapezoidal rule will approximate the following integral with an error En satisfying En 30.01. Then, using that n, approximate the integral. dx n 22 (Round up to the nearest integer as needed.) - dx (Round to three decimal places as needed.)
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...
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
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
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
4. Find the exact value of the integral. Then use composite trapezoidal rule and the composite Simpson's rule to approximate the integral below using n 4 and n 8. Round your results to four decimal places. .3 2a +3a2 dx
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...