Concept explainers
(a)
The
(a)
Answer to Problem 1E
The value of integral by trapezoidal rule is
Explanation of Solution
Given:
The integral is
Calculation:
Integrate the function by trapezoidal rule as follows:
We have,
Therefore,
End points of integral are calculated as follows:
Substitute all the values in trapezoidal integral equation as follows:
Thus, the value of integral by trapezoidal rule is
(b)
The integral by simpson’s rule with four intervals.
(b)
Answer to Problem 1E
The value of integral by simpson’s rule is
Explanation of Solution
Given:
The integral is
Calculation:
Integrate the function by simpson’s rule as follows:
Therefore,
End points of integral are calculated as follows:
Substitute all the values in simpson’s integral equation as follows:
Thus, the value of integral by simpson’s rule is
Want to see more full solutions like this?
Chapter 5.7 Solutions
Calculus : The Classic Edition (with Make the Grade and Infotrac)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage