Integral calculator : The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
Syntax :integral(function;value1;value2;variable)
Examples :integral(`x;0;1;x`) returns 1/2 or 0.5.
The integral calculator is able to calculate integrals online of the composition of common functions, using integral properties, the different mechanisms of integration and calculation online. The calculator precise calculation steps used to arrive at the result. If the calculator can not determine the calculation result in exact form, an approximation of the integral is returned.
The integral calculator allows the calculation of the integral online of any polynomial.
For example, to calculate the integral of the following polynomial `x^3+3*x+1` entre 0 et 1, you must enter integral(`x^3+3*x+1;0;1;x`), after the calculation result `11/4` is returned.
The integral calculator is able to calculate online the integral of any usual function : sin, cos, tan, ln, exp, sh, th, sqrt (square root), and many others ...
Thus, to obtain the integral of the cosine function between 0 et `pi/2`, just type integral(`cos(x);0;pi/2;x`) , the result is returned after calculation.
The calculator is able to calculate the approximate integral. When the computer can not calculate the exact integral, it returns an approximate value of the integral. To determine the approximate value of an integral, the calculator uses the trapezoidal rule.