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10 Consider the definite integral cos(1 + √√x) dx A) To estimate this integral accurate to four decimal places using the Trapezoidal rule, what value of n is required? B) To estimate this integral accurate to four decimal places using the Simpson's rule, what value of n is required?

10 Consider the definite integral cos(1 + √√x) dx A) To estimate this integral accurate to four decimal places using the Trapezoidal rule, what value of n is required? B) To estimate this integral accurate to four decimal places using the Simpson's rule, what value of n is required?

Calculus For The Life Sciences
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.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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10 Consider the definite integral cos(1 + √x) dx 5 A) To estimate this integral accurate to four decimal places using the Trapezoidal rule, what value of n is required? B) To estimate this integral accurate to four decimal places using the Simpson's rule, what value of n is required? C) Perform both of these approximations, showing your work in an excel spreadsheet format (or equivalent format). D) Actually, you should be able to compute this integral exactly using your learnings from our class. Perform this calculation and show the exact answer.
Transcribed Image Text:10 Consider the definite integral cos(1 + √x) dx 5 A) To estimate this integral accurate to four decimal places using the Trapezoidal rule, what value of n is required? B) To estimate this integral accurate to four decimal places using the Simpson's rule, what value of n is required? C) Perform both of these approximations, showing your work in an excel spreadsheet format (or equivalent format). D) Actually, you should be able to compute this integral exactly using your learnings from our class. Perform this calculation and show the exact answer.
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