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Using the

**.**

*trapezoid rule*The following data was collected about the function \(\displaystyle f(x)\)

Estimate \(\displaystyle \int^{1.25}_0 f(x) \, dx\)

\(\displaystyle x | f(x)\)

\(\displaystyle 0 | 3.000\)

\(\displaystyle .25 | 2.540\)

\(\displaystyle .50 | 1.583\)

\(\displaystyle .75 | 1.010\)

\(\displaystyle 1.00 | 1.346\)

\(\displaystyle 1.25 | 2.284\)

I ended up with \(\displaystyle .25[3.000 + 2(2.540) + 2(1.583) + 2(1.010) + 2(1.346) + 2.284] \approx 4.5605\)