What formula results from using the composite trapezoid rule on f (x) = x2, with interval [0, 1] and n +1 equally spaced points? Simplify your result by using the fact that 12 + 22 + 32 + · · · + n2 = 1/6 n(2n + 1)(n + 1). Show that as n → ∞, the trapezoidal estimate converges to the correct value, 1/3 .
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.