Answered: Use the Trapezoidal Rule, the Midpoint…

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral with n - 12. T12 = M12 = S12 = 10 In(x) dx 5+x

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

Section8.1: Numerical Integration

Problem 1YT: YOUR TURN Use the trapezoidal rule with n=4 to approximate 13x2+3dx.

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Question

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral
with n -
12.
T12 =
M12 =
S12
=
10 In(x)
dx
5+x

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Step 1: Given:

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Step 2: Trapezoidal rule:

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Step 3: Midpoint rule:

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Step 4: Simpson's rule:

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