Question
Net area and definite integrals Use geometry (not Riemann sums) to evaluate the following definite integrals. Sketch a graph of the integrand, show the region in question, and interpret your result.$$\int_{0}^{4}(8-2 x) d x$$
Step 1
This is a linear function with a negative slope, which intersects the y-axis at $y = 8$ and the x-axis at $x = 4$. The graph will be a straight line descending from the point $(0,8)$ to the point $(4,0)$. Show more…
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