the intergral


4 (2x^2+3x+1)dx

i have to find the sum of the intergral using right and left endpts when n=3. I am confused on how to even start this or how to use these endpts.

  1. 👍
  2. 👎
  3. 👁
  1. What do you mean by the sum of the integral? Do you mean the value of the integral? Are the limits of integration 4 to 10? What is n? It does not appear in the mathematial expression you have written. Are you supposed to be doing a Simpson's Rule numerical integration with n=3 terms?

    That is what I assume they want you to do.

    The exact value of the integral is
    (2/3)x^3 + (3/2)x^2 +x evaluated at x=10, minus the value at x = 4. This is
    826.67 - 70.67 = 756

    Using Simpson's rule with 3 terms and h=3 as the interval width, I get
    (h/3)[f(4) + 4 f(7) + f(10)]
    = 1*[45 + 480 + 231) = 756

    The agreement is perfect because the curve is a parabola, and Simposn's rule provides a parabolic best fit to each interval.

    1. 👍
    2. 👎
  2. Find the Riemann sum for this integral using right and left endpoints and n=3. when i type in 756 it shows to be the wrong answer.

    1. 👍
    2. 👎
  3. You left out the word Riemann before; so I solved the wrong problem.

    The Riemann sum is defined here:
    It is a less accurate approxiation to the integral than Simpson's rule. I will leave you to calculate it.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Minimizing Sum: Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum.

  2. Math

    1.(A)(i)Show that 2+4+6+8+..+2n=n(n+1). (ii)Find the sum of the first 200 even numbers. (iii)Find the sum of the first 200 odd numbers. (B)(i)Use the formula at the beginning of the question to find the sum of the first 2n natural

  3. Mathematics

    The first term of A.p is 2 and the common difference is 3 find the sum of n term of the progression. Find the value of n for which the sum of progression is 610. Find also the least value of n for which the sum exceed 1000

  4. Help!! Geometric progression

    Question(1):A G.P has a common ratio of 2 find the value of 'n' for which the sum 2n terms is 33 times the sum of n?? Question(2):in A G.P the product of the 2nd and the 4thterm is double ,the 5th term and the sum of the first 4

  1. Calculus

    Use the form of the definition of the integral to evaluate the intergral. From 0 to 9 (10+6x-x^2)

  2. Calculus

    Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)-

  3. GP

    find the following gp with sequence 2,8,32,128 find the sum of its first 8 term find the sum of its first 13 terms



  1. check geo

    which of the folowing is not a common element of traditional religious of this region A)a belief in a single supreme being B)a belief in anture spirits C)efforts to convert neighboring peoples D)the honoring of ancient ancestors

  2. Calculus

    The problem I have is a summation from 1 to infinity for (-1)^n/n. I have to find a partial sum that is in 0.001 of the infinite sum, my teacher says the fourth partial sum approximates the infinite sum, which is -7/12. I think to

  3. arithmetic

    1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

  4. mathematics

    The sum of the first 3 terms of a G.P. is 27 and the sum of the fourth, fifth and sixth terms is -1. Find the common ratio and the sum to infinity of the G.P.

You can view more similar questions or ask a new question.