A direct calculation shows that How close do you come to

Chapter , Problem 47PE

(choose chapter or problem)

A direct calculation shows that

$\int_{0}^{\pi} 2 \sin ^{2} x d x=\pi$

How close do you come to this value by using the Trapezoidal Rule with $n=6$? Simpson’s Rule with $n=6$? Try them and find out.

Equation Transcription:

$\int\limits_{0}^{\pi{}}2{\ sin}^{2}\ x\ dx\ =\ \pi{}$

$n-6$

Text Transcription:

integral_0^pi 2 sin^2 x dx =pi

n-6

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