Riemann Sum

Related BrainMass Solutions

• Riemann Sums, Taylor Polynomials, Taylor Residuals and Radius of Convergence

  The lower Riemann Sum is The upper Riemann Sum is (c) The lower Riemann Sum integral is . The upper Riemann Sum integral is (d) From (c), we know is Riemann integrable in and the integral is .

• Riemann Sum

  18096 Riemann Sum Write out the Riemann Sum R(f,P, 1, 4), where f(x) = ln x, P = {1, 2, 2.4, 2.9, 3.4, 4} and ck is the midpoint of the interval [xk−1, xk] for each k. Get a decimal approximation for the Riemann Sum.

• Integrals : Riemann Sum

  So the Riemann sum is S=(2*0+1)*0.25+(2*0.25+1)*0.25+(2*0.5+1)*0.25+(2*0.75+1)*0.25 =0.25*(1+1.5+2+2.5) =0.25*7 =7/4 A Riemann sum is found.

• Ruler function proof

  i.e. upper Riemann sum Hence, Ruler function is Reimaan inferable .

• Approximate the Integral Using 5 Methods (Left endpoint Riemann, Right endpoint Riemann sum, Midpoint Rule, Trapezoidal Rule and Simpson's Rule)

  Riemann 2) Right endpoint Riemann sum 3) Midpoint Rule 4) Trapezoidal Rule 5) Simpson's Rule Please see the attached file for the complete solution.

• Integrals : Lower Riemann Sum

  Since each has a base of length 3 the Riemann sum has the value (2+6+27)3 = 105. A lower Riemann sum is found. The response received a rating of "5" from the student who posted the question.

• Riemann Integrable Function : Upper and Lower Sums

  Thus the upper Riemann Sum is The lower Riemann Sum is Let , then and . This implies that . Thus is integrable and the . A function is found to be Riemann integrable, and its upper and lower sums are found.

• Reimann Sum/ Integrals

  57759 Reimann Sum/ Integrals Find exact values for Riemann sums approximating the integral of the function f(x)=x2 on the interval [0,1].

• Evaluating a Limit Involving a Riemann sum

  37847 Evaluating a Limit Involving a Riemann sum Evaluate the limit by first recognizing the sum as a Riemann sum of a function: the limit as n goes to infinity of (4/n)(sqrt(4/n)+sqrt(8/n)+...

• Riemann sum and volume

  197279 Riemann sum and volume See attached file Write a Riemann sum and then a definite integral representing the volume of the region, using the slice shown. Evaluate the integral exactly. Please see the attached file.