Estimate the area under the graph of the function

Question

Estimate the area under the graph of the function f(x)=x+5−−−−√fx=x+5 from x=−2x=−2 to x=3x=3 using a Riemann sum with  n=10n=10 subintervals and midpoints.

 

Round your answer to four decimal places

Answer 1

M₁₀ = (3 + 2)/10(∑₁¹⁰(√[-1.75 + (k - 1)·0.5 + 5]^1/2) = ∑₁¹⁰(0.5k + 2.75)^1/2 ·0.5 = 11.622007

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