Question 1
True or False: If g(x) = Ax
3 + 3Bx
2 + 2Cx + D, where A, B, C, and D are constant real numbers, and if S
n is the Simpson's Rule approximation for the integral
dx, then S
20 = 16B + 4D.
◦ true
◦ false
Question 2
The integral I =
dx is improper and so unsuitable for numerical approximation by, say, the Trapezoid Rule or Simpson's Rule. Use a suitable change of variable to transform I into a proper integral these techniques can be applied to.