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. [² 3 dt 1+ ²+ t4' (a) the trapezoidal rule (b) the midpoint rule (c) Simpson's rule n = 6
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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.) 2 [²√x³-1dx₁ n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's RuleUse 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.) [² sin (√x) dx (a) the trapezoidal rule (b) the midpoint rule (c) Simpson's rule dx, n = 6Use 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 5 cos(4x) dx, п %3D 4 (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.) √x³-1 dx, n=10 (a) the Trapezoidal Rule 1.50636 X (b) the Midpoint Rule 1.518362 (c) Simpson's Rule 1.5115 XUse 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.) x3 – 1 dx, n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's RuleUse 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.) In(5 + ex) dx, (a) the trapezoidal rule (b) the midpoint rule. (c) Simpson's rule n = 8
- 5. (4 points) Find the following integral. Note that you can check your answer by differentiation. (t+8)2 dt = 14 6 (4 pointe) Lihn.Use the Midpoint Rule and Simpson's Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation. (Round your answers to six decimal places.) dx, n = 6 (a) the Midpoint Rule M6 = EM = (b) Simpson's Rule S6 = Es =The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 12 y = g(x) 6. X 12 9. (a) д(x) dx 18 (b) g(x) dx '21 (c) g(x) dx Need Help? Read It Master It 21
- Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 7 cos(2x) dx, n = 4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's RuleConcider the area shown, bounded by f(x)=x4 and g(x)= 16x-4x2. Set up the intergral to find the area. Draw the appropriate differential element on the graph and lable all the relevent dimensions and features. Set up to integrate along the x-axis.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.) [¹²3 √2+ cos(x) dx, n = 4 (a) the Trapezoidal Rule (b) the Midpoint Rule 1.1780 x (c) Simpson's Rule Need Help? Read It