Determine the actual and theoretical errors of the approximations used in Example 13.32 at various k. Example

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Determine the actual and theoretical errors of the approximations used in Example 13.32 at various k.


Example 13.32

Approximate the following definite integral using Simpson’s rule for 

k = 2, 

k = 4, and 

k = 6.I = = L  ( 06 + e(+) e-(x+2) dx

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