# 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 N326412825651210242048 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal \hspace{10}S={\large\int_a^{\hspace{25}b}}f(x)dx\\(1)\ Trapezoid\\\hspace{5}S_{\normal t}={\large\frac{h}{2}}\{f(a)+2{\large \sum_{j=1}^{n-1}}f(a+jh)+f(b)\},\hspace{10} h={\large\frac{b-a}{n}}\\$

Trapezoid integration
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