# Trapezoid integration Calculator

## Calculate a table of the integrals of the given function f(x) over the interval (a,b) using Trapezoid method.

 The integrand f(x) is assumed to be analytic and non-periodic.It is calculated by increasing the number of partitions to double from 2 to N.$\normal\ Trapezoid:\\\hspace{20}S={\large\int_a^{\hspace{25}b}}f(x)dx=\hspace{5}{\large\frac{h}{2}}\{f(a)+2{\large \sum_{j=1}^{n-1}}f(a+jh)+f(b)\}\\\hspace{60}h={\large\frac{b-a}{n}}\\$
 f(x) a , b maximum partition N 32 64 128 256 512 1024 2048
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal \hspace{10}S={\large\int_a^{\hspace{25}b}}f(x)dx\\(1)\ Trapezoid\\\hspace{5}S_{\normal t}={\large\frac{h}{2}}\{f(a)+2{\large \sum_{j=1}^{n-1}}f(a+jh)+f(b)\},\hspace{10} h={\large\frac{b-a}{n}}\\$

Thank you for your questionnaire.
Sending completion

To improve this 'Trapezoid integration 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?