Concept explainers
To calculate: The Simpson’s Rule approximations of the function with given values.
Answer to Problem 25E
The Simpson’s Rule approximations of the function with given n=50 and n=100 is 1.37076.
Explanation of Solution
Given information:
The function:
Calculation:
Simpson's rule is used to find the value of
To approximate
Where
To Find integral, use calculator program of Simpson's rule approximations and take lower limit equal to 0.0001, because at x=0 function is not defined.
Function | n | Value of integral |
50 | 1.37066 | |
100 | 1.37066 |
Now, take lower limit is equal to 0.0000001.
function | n | Value of integral |
50 | 1.37076 | |
100 | 1.37076 |
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