Approximating Pi (a) Show that (b) Approximate the number using Simpsons Rule (with )
Chapter 5, Problem 68(choose chapter or problem)
(a) Show that
\(\int_{0}^{1} \frac{4}{1+x^{2}} d x=\pi\)
(b) Approximate the number \(\pi\) using Simpson's Rule (with n=6 ) and the integral in part (a).
(c) Approximate the number \(\pi\) by using the integration capabilities of a graphing utility.
Text Transcription:
int_0^1 frac 4 1+x^2 d x=pi
pi
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