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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 14CR
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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.)
3 dt
1 + 1² + 14'
(a) the trapezoidal rule
(b) the midpoint rule
(c) Simpson's rule
n = 6
Transcribed Image Text: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.) 3 dt 1 + 1² + 14' (a) the trapezoidal rule (b) the midpoint rule (c) Simpson's rule n = 6
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