Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) In radians.6 sin x^{2} dx, n =4
1/2 0
T= (1/16) [6sin(0)+2*6sin((1/8)^2)+2*6sin((1/4)^2)+2*6sin((3/8)^2)+6sin((1/2)^2)]
=.343469 (marked wrong)
EDIT: I forgot to square the last term. My answer is: .256461
M= (1/8)[6sin((1/16)^2)+6sin((3/16)^2)+6sin((5/16)^2)+6sin((7/16)^2)]
=.245097 marked correct
S=(1/24)[6sin(0)+4*6sin((1/8)^2)+2*6sin((1/4)^2)+4*6sin((3/8)^2)+6sin((1/2)^2)]
=.248867 marked correct
Is my work correct? Anyone know of an online program/calculator that would give me radians if I plug this in? I dont have a radian calculator since we don't use calculators during tests...
edit: I used wolfram alpha to calculate the radians. Part 1 (Trapezoidal) was marked incorrect.