Calculus

posted by .

Estimate the area under the graph of f(x) = 2x^3 + 3 from x= -1 to x=5, first using 6 approximating rectangle and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. When using the left and right endpoints, is there a different way to compute each?

  • Calculus -

    You are being asked to perform a numerical integration. Add up the values of f(x) at x= 1,2,3,4,5 and 6 . Multiply the sum by the interval, 1.

    Then do it again at x= 1/2, 1, 3/2, 2,. ...6, and multiply the sum by the interval, 0.5.

    If you use the average of left and right endpoints, you will be using the trapezoidal rule. It should be more accurate approximation to the integreal

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc

    Estimate the area under the graph of f(x)= x^2 + 2 x from x=4 to x=10 using 3 approximating rectangles and left endpoints.
  2. Calculus

    Question Details: Do the following. (Round your answers to four decimal places.) (a) Estimate the area under the graph of f(x) = 8 + 2x2 from x = -1 to x = 2 using three rectangles and right end-points. R3 = 1 Improve your estimate …
  3. Math: Calculus

    Estimate the area under the graph of f(x)=3x^3+5 from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints. I'm having problem …
  4. Math: Calculus

    Estimate the area under the graph of f(x)=x^2+2x from x = 4 to x = 10 using 3 approximating rectangles and left endpoints. I got 290.25 as my answer but it's wrong. Would someone explain to me how to answer this question.
  5. Calculus-Approximate areas

    Estimate the area under the graph of f(x)= x^2 + 3 x from x=1 to x=10 using the areas of 3 rectangles of equal width, with heights of the rectangles determined by the height of the curve at a) left endpoints: b) right endpoints:
  6. Calculus

    a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ?
  7. Calculus Help Please Urgent!!!

    a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ?
  8. Calculus

    Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
  9. calc

    a) Estimate the area under the graph of f(x) = 10(sqrt(x)) from x = 0 to x = 4 using four approximating rectangles and right endpoints
  10. Calculus

    Estimate the area under the graph of f(x)=cos((pi/4)x) from x=-2 to x=2 using 3 rectangles of equal width, using left and right endpoints.?

More Similar Questions