Let f(x) = sqrt{x^2 - 3x} for 3 le x le 6. We wish to estimate int_3^6 f(x) dx by Simpson's Rule. a) Divide the domain of f into 6 sub-intervals of equal length. Calculate their common length Delta x (exact value). 1/2 b) Find the approximation of int_3^6 f(x) dx that Simpson's Rule produces with 6 sub-intervals. FORMATTING: Round your answer with pm 0.001 precision. 45.083
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If we divide this into 6 sub-intervals of equal length, each sub-interval will have a length of 3/6 = 0.5. So, Δx = 0.5. Show more…
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