I read the following formula which expands the integral from SICP
for small values of d x . We can express this directly as a procedure:
(define (integral f a b dx)
(define (add-dx x) (+ x dx))
(* (sum f (+ a (/ dx 2.0)) add-dx b)
dx))
(integral cube 0 1 0.01)
.24998750000000042
(integral cube 0 1 0.001)
.249999875000001
Nonetheless, I did not find the above expanded formula from Integral on wikipedia
Is the formula a universal solution to decompose integral or singularly for particular functions.
Appreciate it very much if reference it origin or detailed illustration since I simply cannot get its idea.
