SOLUTION: Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give thr

Algebra.Com
Question 1029380: Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.
Explain, using a graph of f(x), what the Riemann sum in Question #1 represents.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

represents the sum of the 6 rectangles below:



Now we simplify the sum:





























Three decimal places



Edwin

RELATED QUESTIONS

If 0 ≤ x ≤ 8 and − 1 ≤ y ≤ 3 which of the following gives... (answered by Fombitz)
Please help me solve this equation: Let A be the area of the region that lies under the... (answered by Fombitz)
Please help me solve this problem: Determine the points of inflection for sin(x) +... (answered by Alan3354)
Find the stationary points and point of inflexion of the function y=cosx, for... (answered by Alan3354)
Solve the following equation for x for 0 ≤ x ≤ 360 5 (sin)^2 x + 9 cos x... (answered by Alan3354)
Use your graphing calculator to find all degree solutions in the interval 0° ≤ x <... (answered by Theo,ikleyn,greenestamps)
Solve the following trigonometric equation for 0deg ≤ x ≤ 360deg sin x -... (answered by lwsshak3)
In a math class with 20 students, the grades on a recent quiz ranged from 0 to 10,... (answered by LinnW)
Determine the solutions to the equation tan2x(1-tan^(2)x) = 2/√3 for 0 ≤ x... (answered by ikleyn)