Nodes and Weights of Gauss-Chebyshev Calculator

Calculates the nodes and weights of the Gauss-Chebyshev integration.

 $\normal(1)\ {\large\int_{\small -1}^{\hspace{25}\small 1}}{\large \frac{f(x)}{\sqrt{1-x^2}}}dx\simeq {\large\sum_{\small i=1}^{n}}w_{i}f(x_i)\\[10](2)\ f(x)\rightarrow g(x)\sqrt{1-x^2}\\\hspace{20}{\large\int_{\small -1}^{\hspace{25}\small 1}}g(x)dx\simeq {\large\sum_{\small i=1}^{n}}w_{i}\sqrt{1-x_i^2}g(x_i)\\\hspace{5}nodes\hspace{35} x_i=-cos{\frac{(2i-1)\pi}{2n}}\\\hspace{5}weights\hspace{20} w_i={\large\frac{\pi}{n}}\\$
nodes
 half(x>=0) all
order n
 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 n=2,3,4,..,100
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
To improve this 'Nodes and Weights of Gauss-Chebyshev Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?