Question: In Activities. 8 through 11:

1. Graph the function f from a to b.
2. Find the area of the region between the graph \(f\) and the \(x\) -axis from \(a\) to $b .$ Is this area equal to \(\int_{a}^{b} f(x) d x ?\) Explain.
3. Find \(\int_{a}^{b} f(x) d x\).

\(f(x)=-4 x^{-2} ; \quad a=1, b=4\)

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