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10 | Vx3 + 6 dx, n = 4

10 | Vx3 + 6 dx, n = 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the Midpoint Rule with the given value of n to approximate the integral. 10 Vx3 + 6 dx, n = 4 Step 1 We must calculate Ma = E fx)Ax = f(x1) + f(x2) + f(xg) + f(Xa) Ax, where x1, X2, x3, X4 represent the midpoints of four equal sub-intervals of [2, 10]. | = 1 Since we wish to estimate the area over the interval [2, 10] using 4 rectangles of equal widths, then each rectangle will have width Ax = Step 2 (2)[Vã? + 6 + Using f(x) = Vx3 + 6 to find M4 = (2) V X2 + 6 + V X3 + 6 + V x4 + 6 Since x1, X2, x3, X4 represent the midpoints of the four sub-intervals of [2, 10], then we must have the following. X1 = x2 X3 X4 =
Transcribed Image Text:Use the Midpoint Rule with the given value of n to approximate the integral. 10 Vx3 + 6 dx, n = 4 Step 1 We must calculate Ma = E fx)Ax = f(x1) + f(x2) + f(xg) + f(Xa) Ax, where x1, X2, x3, X4 represent the midpoints of four equal sub-intervals of [2, 10]. | = 1 Since we wish to estimate the area over the interval [2, 10] using 4 rectangles of equal widths, then each rectangle will have width Ax = Step 2 (2)[Vã? + 6 + Using f(x) = Vx3 + 6 to find M4 = (2) V X2 + 6 + V X3 + 6 + V x4 + 6 Since x1, X2, x3, X4 represent the midpoints of the four sub-intervals of [2, 10], then we must have the following. X1 = x2 X3 X4 =
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