Integral calculator : How to use it?
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.
Calculate online the integral of a polynomial
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.
Calculate online the integrals of common functions
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.
Calculate online an approximate value of integral
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.
- Even or odd function calculator : is_odd_or_even_function. Calculator for determining whether a function is an even function and an odd function.
- Partial fraction decomposition calculator : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Derivative calculator : derivative. The derivative calculator allows steps by steps calculation of the derivative of a function with respect to a variable.
- Taylor expansion calculator : taylor_series_expansion. The taylor series calculator allows to calculate the Taylor expansion of a function.
- Properties of a numerical function : study_function. This calculator lets you study a function using the following algebraic calculation tools: derivative, antiderivative, is_odd_or_even_function, equation_tangent_line, discriminant, degree, valuation.
- Integral calculator : integral. The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
- Indefinite integral calculator : antiderivative. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
- Limit calculator : limit. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.