[WetRek] Kwadratuurformules -- Sage

var('x, c1, c2, x1') w(x) = 1 a = -1 b = 1 equations = [ integrate(w*x^i, x, a, b) == c1*(-x1)^i + c2*x1^i for i in range(3) ] for equ in equations: show(equ) show(solve(equations, [x1, c1, c2], solution_dict=True)[0])

$\newcommand{\Bold}[1]{\mathbf{#1}}2 = c_{1} + c_{2}$

$\newcommand{\Bold}[1]{\mathbf{#1}}0 = -c_{1} x_{1} + c_{2} x_{1}$

$\newcommand{\Bold}[1]{\mathbf{#1}}\left(\frac{2}{3}\right) = c_{1} x_{1}^{2} + c_{2} x_{1}^{2}$

$\newcommand{\Bold}[1]{\mathbf{#1}}\left\{c_{1} : 1, c_{2} : 1, x_{1} : \frac{1}{3} \, \sqrt{3}\right\}$

[WetRek] Kwadratuurformules

1826 days ago by Toon.Baeyens