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Find Table Lists Several Measurements Gathered in an Experiment to Approximate

question 53

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Find table lists several measurements gathered in an experiment to approximate an unknown continuous function y=f(x) y = f ( x ) . Approximate the integral 02f(x) dx\int _ { 0 } ^ { 2 } f ( x ) d x using the Trapezoidal Rule. Round your answer to three decimal places.
x0.000.250.500.751.001.251.501.752.00y4.124.274.626.376.827.477.728.678.92\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline x & 0.00 & 0.25 & 0.50 & 0.75 & 1.00 & 1.25 & 1.50 & 1.75 & 2.00 \\\hline y & 4.12 & 4.27 & 4.62 & 6.37 & 6.82 & 7.47 & 7.72 & 8.67 & 8.92 \\\hline\end{array}


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