Write a C++ program to solve Consider Integration of f (x) over the fixed interval [a, b] = [O, l]. Apply the v: quadrature formulas (4) through (7). The step sizes are h = 1 h for the trapezoidal rule, Simpson's rule, Simpson's rule, and Boole's respectively.

(c) f (x) = sin()

Remark.

The true values of the definite integrals are (a) 21m = 0.636619772367 . (b) (18e - cos(4) + = 1.007459631397 and (c) cos(l)) = 0.602337357879 .. Graphs of the functions are shown in Figures through (c), respectively.