Which of the following formulae is Simpson's 3/8th rule for numerical integration?

Which of the following can exactly determine the integral of a 5th-order polynomial with a single application?

P (0, 3), Q (0.5, 4), and R (1, 5) are three points on a curve. Numerical integration is carried out using both the Trapezoidal rule and Simpson's 1/3rd rule within limits x=0 and x=1 for the curve. The difference between the two results will be 

Match the following numerical integration schemes with the correct polynomial order used to fit the data.

Evaluate  using Simpson's 3/8th rule. 

Use the data from the following table.

Which of the following statements is true regarding the number of points for the Simpson’s 3/8 rule?

What is the approximate value of the following integral using a single application of Simpson’s 1/3 rule?

f(x) = ∫ (x^3 - 8x^2) dx, integrate from x = 0 to x = 9

Simpson's 1/3rd rule and direct integration would generate the same result if 

Which of the following is true for the truncation error in the single Simpson's 1/3 rule?

Integrate the following data using the trapezoidal rule. What is the output? 

   x_i = [-5  -4.5  -4  -3.5]
f(x_i) = [ 8    5    6    5 ]