Solved: Write a program for your graphing utility to approximate a definite integral
Chapter 4, Problem 63(choose chapter or problem)
Programming Write a program for your graphing utility to approximate a definite integral using the Riemann sum
\(\sum_{i=1}^{n} f\left(c_{i}\right) \Delta x_{i}\)
where the subintervals are of equal width. The output should give three approximations of the integral, where \(c_{i}\) is the left-hand endpoint L(n), the midpoint M(n), and the right-hand endpoint R(n) of each subinterval. In Exercises 61–64, use the program to approximate the definite integral and complete the table
\(\int_{0}^{\pi / 2} \sin ^{2} x d x\)
Text Transcription:
\sum_{i=1}^{n} f\left(c_{i}\right) \Delta x_{i}
c_i
\int_{0}^{\pi / 2} \sin ^{2} x d x
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