(a) Estimate the area under the graph of $f(x) = 4sqrt{x}$ from $x = 0$ to $x = 4$ using four approximating rectangles and right endpoints. (Round your answers to four decimal places.) $R_4 = $ Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate? overestimate underestimate (b) Repeat part (a) using left endpoints. $L_4 = $
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First, we need to find the width of each rectangle. Since we are using 4 rectangles, we can divide the interval [1, 5] into 4 equal parts. The width of each rectangle will be: $$ \Delta x = \frac{5 - 1}{4} = 1 $$ Show more…
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