## Using the online formal calculation software

Calculation software has a simple and intuitive interface to easily type calculations and get results as exact or approximate form. Various devices of recognition and input help formulas provide quick use its many advanced mathematical functions.

### Usual mathematical operators

Operators to use for writing mathematical expressions are:

1. + For addition
2. - For subtraction
3. * For Multiplication
4. ^ For power
5. / For division
6. % For percentages

You can do calculations with exact form in percentages using the notation%. For example if we want to calculate 40 percent of 90, you must enter 40% 90. To get the value of 30 percent, simply enter 30%.

7. ! for factorial, it is also possible to use the factorial function

Factorial notation used to calculate the factorial of a number, factorial of a natural number n is the product of the positive integers less than or equal to n. It is possible to use shortcut notation !, for example factorial(5) or 5! return the same result ie 5*4*3*2*1=120.

Operators comparison used for solving equations and solving inequalities are:

1. = equal
2. > higher
3. >= greater or equal
4. < less
5. <= less than or equal

### Decimal separator

Decimal separator is .

### Constants

It is possible to use predefined constants as the constant 'pi' Note that pi.

### Angular units

It is possible to use l'the angle unit of choice : The angles can be expressed in radians, grades or degrees from the link "options" or "set" menu in the calculator.

### Help to type formulas and mathematical equations.

#### Recognition implicit multiplys

As in "natural" writing, it may be omitted in some cases multiply sign. Here are some examples:
• 3x will be transformed into 3*x
• ab will be transformed into a*b
• asin(x) swill be transformed into a*sin(x)

#### Automatic recognition of variables in mathematical expressions

Some functions used in the calculation software need to specify the variables as functions derivative, solve, solve_system, solve_complex, antiderivative. When there is no ambiguity, it is possible to omit them. Here are some examples :
• derivative(x+3) will be transformed into derivative(x+3;x)
• solve(x^2-1=0) will be transformed into derivative solve(x^2-1=0;x)
• antiderivative(x+y) will not be transformed because the choice of the variable is ambiguous, there are tw

#### Recognition of simplified notation functions

It is possible when there is no ambiguity to omit some parentheses in the function entry. Here are some examples :

• cos 2 for cos(2)
• 3ln5 for 3*ln(5)

#### Recognition of equations

Computer algebra software is able to directly identify some equations and solve.

Simply enter the equation to solve and click on calculate. Recognized equations are quadratic equations, equations of the first degree, the product zero equations, logarithmic equations, ...

It is possible to obtain details of calculations that led to the resolution equation

Example : To solve x^2-1=0, just type x^ 2-1=0, then click on the calculate button or on the solve button.

### Calculating a mathematical expression with formal calculation software online

software can be used by directly entering formula to calculate or using function mode.

#### Enter a formula directly

Online algebra software can be used by directly entering mathematical expression to calculate with the usual operators, and clicking on button calculate.

Example :

• 1+1/3
• sin(pi)+ln(1)

#### Enter in function mode

To enter a mode function just type function name, a menu function appears based on your input, you can make a choice in this menu or continue your input, once validated, a button with function name appears. This button indicates that you are in the function mode.

You can enter the parameters of the function in the input area, using the function usage and examples appear below the toolbar.

Once your settings are entered, you must click on the button with the name of the function to apply your settings. To change the function, simply click the little pencil and choose the new function from the menu.

#### Results

The results are in exact form and under approximate form.

The online calculus software is able to recognize the outstanding values ​​of some angles, type cos(pi/3), you will have the exact value in return 1/2, type sin(pi/3), he exact result will be returned sqrt(3)/2

### Mathematical objects used in the calculator.

In addition to the usual mathematical objects the calculator is able to work with many other types of mathematical objects.

#### Numbers

The calculator provides the same functionality as most standard calculators. calculators standard.

It is used as an arithmetic calculator for arithmetic calculations, it is in particular able to manipulate powers and mathematical exponent. Il s'utilise comme une arithmetic calculator for arithmetic calculations , it is in particular able to manipulate powers and exponent. It has several functions arithmetic calculation as the function arithmetic_solver, the function arrangement, the function base_converter, the function binomial_coefficient, the function combination, the function euclidean_division, the function factorial, the function gcd, the function is_even, the function is_odd, the function lcm, the function permutation, the function prime_factorization, the function pythagorean.

It has the same functions as a scientific calculator and offers a large choice of mathematical functions to do many scientific calculations . The calculator provides standard functions of course as the function abs, the function arccos, the function arcsin, the function arctan, the function ch, the function cos, the function cosec, the function cotan, the function coth, the function cube_root, the function exp, the function ln, the function log, the function sec, the function sh, the function sin, the function sqrt, the function tan, the function th , also trigonometric functions like the function arccos, the function arcsin, the function arctan, the function cos, the function cosec, the function cotan, the function expand_trigo, the function linearization_trigo, the function sec, the function simplify, the function simplify_trig, the function sin, the function tan, or hyperbolic functions as the function ch, the function coth, the function sh, the function th.

The calculator provides the functions of a statistical calculator as : the function average, the function max, the function min, the function standard_deviation, the function variance.

#### Equations

Equations can be solved with the equation calculator . Many types of equation solving are supported by the solver.

#### Inequalities

Inequalities can be solved with the inequality calculator .

#### Fractions

Fractions can be calculated with the fraction calculator. It is able to do all the arithmetic operations including calculations with exponents or powers.

#### Mathematical expressions

The calculator can expand an expression with le mathematical expressions software expand . It can factor expression with the application of factorization factor expression with the application of factorization . It can also calculate an expression, in order to reduce, or simplify, with the expression simplification software. It can also calculate an expression in order to reduce , or simplify with the expression simplification software .

#### Functions

Functions can be differenciate with the derivative calculator , antiderivative can be calculated with the antiderivative calculator . It is also possible to calculate an integral or an approximate value of an integral .

#### Vectors

Vectors are noted between brackett and their coordinates are separated by semicolons. The vectors calculator allows to do usual arithmetic operations from the coordinates of the vectors. It also offers features specifically adapted to vector as the function cross_product, the function determinant, the function dot_product, the function product_vector_number, the function scalar_triple_product, the function vector_calculator, the function vector_coordinates, the function vector_difference, the function vector_norm, the function vector_sum.

#### Complex number

The complex complex number calculator can perform all arithmetic calculation on complex numbers , to perform calculations on complex number , the complex calculator uses algebraic form (a + ib), where i is the complex symbol .

The calculator allows the use of specific functions to complex numbers as the function amplitude, the function complex_conjugate, the function complex_modulus, the function complex_number, the function complexe_solve, the function exp, the function imaginary_part, the function real_part.

## Main functions of symbolic calculator software online

### Online equation solving

With its powerful equation solver, online symbolic calculator software can solve equation by giving the exact result, and the stages of the calculations.

### Solving inequality

The operators of comparison to be used for resolution of inequality are:
• > greater
• >= greater or equal
• < less
• <= less than or equal

The calculator can solve inequalities at the first level and solve quadratic inequalities .

### Solving systems of linear equations

Solving systems of linear equations is possible through the use of the solve linear system function . The calculator is able to solve systems of linear equations with two variables online , solve systems of linear equations with three variables online , and more generally, system of linear equations with n variable.

### Fraction Calculator

The calculator has a function that does arithmetic operations of a fraction calculator . When you enter a fraction, the results are calculated keeping the fractions, and specifying the stages of the calculations.

### Expansion of algebraic expression

The calculator has an expansion of mathematical expressions software , to use mathematical function expand , and to perform this type of operation, simply type expand(expression).
For example, to expand an expression like the following (x+1)(x+2), enter expand((y+1)(x+2)) .
To expand, for example, formula (y+1)(x+2), enter expand((y+1)(x+2))

### Collapse an expression

The calculator has a symbolic calculator software, which can simplify an algebraic expression with the collapse function. This is one of symbolic calculation functions.

### Expand and collapse an expression

The calculator allows to expand and collapse an algebraic expression by combining "expand" and "collapse" functions. This function is one of symbolic calculation functions. To expand and collapse the following expression 2*(x+2)^2, enter expand_and_simplify(2*(x+2)^2), after calculation result is given.

### Factorization of algebraic expression

Factor an algebraic expression is to transform it into product. The calculator allows to factor an algebraic expression online, through its factoring software and using different methods of factoring. The online factoring of a mathematical expression performed by the calculator is accompanied calculation steps.
The calculator is able to factor many types of mathematical expressions,it allows factoring special expansion online .
The online factorization of special expansion as following is possible with the calculator :

• a^2-b^2
• a^2+b^2+2ab
• a^2+b^2-2ab

For example, to factor 1+2x+x^2, enter factorize(1+2x+x^2)

### Derivative of a function

The online calculation software allows to do differentiation , it allows to compute a derivative . To differentiate any usual function, use the following syntax : differentiate(function;variable). For example, to do differentiation of 1+x+sin(x) with this computer algebra software online, enter derivative(1+x+sin(x);x) or derivative(1+x+sin(x)), because variable "x" is not ambiguous. After calculation result is given.

With the derivative calculator , the following types of calculations can be done: calculating derivative of a sum, derivative of a difference, derivative of a product, derivative of a quotient, derivative of composition of functions, and many other types of derivative. The symbolic calculation software offers a step by step mode that applies to the differentiation. It provides all the details of a calculation. It helps to understand the differentiation rules.

#### Most common derivatives

Derivatives calculator allows to calculate most common derivatives.

• Derivative of constant function : f(x) = k, F(x) = kx
• Derivative of polynomial : f(x) = x, F(x)=x^2/2
• Derivative of polynomial: f(x) = x^n, F(x) = x^(n+1)/(n+1)
• Derivative of rational function : f(x) = 1/x^n, F(x) = -1/((n-1)*x^(n-1))
 derivative(k;x) 0 derivative(x) 1 derivative(x^n) n*x^(n-1) derivative(sqrt(x)) 1/(2*sqrt(x)) derivative(abs(x)) 1 derivative("arccos"(x)) -1/sqrt(1-(x)^2) derivative("arcsin"(x)) 1/sqrt(1-(x)^2) derivative("arctan"(x)) 1/sqrt(1-(x)^2) derivative(ch(x)) sh(x) derivative(cos(x)) -sin(x) derivative(""cotan""(x)) -1/sin(x)^2 derivative("coth"(x)) -1/(sh(x))^2 derivative(exp(x)) exp(x) derivative(ln(x)) 1/(x) derivative(log(x)) 1/(ln(10)*x) derivative(sh(x)) ch(x) derivative(sin(x)) cos(x) derivative(tan(x)) 1/cos(x)^2 derivative(th(x)) 1/(ch(x))^2

### Antidifferentiation

Antidifferentiation is the process of solving for antiderivatives . The online calculation of antiderivatives software allows to do antidifferentiation , it allows to compute primitive function . To do antidifferentiation of any usual function, use the following syntax : antiderivative(function;variable). For example, to do antidifferentiation of 1+x+sin(x) with this antiderivative calculator online, enter antiderivative(1+x+sin(x);x) or antiderivative(1+x+sin(x)), because variable "x" is not ambiguous. After calculation result is given.

The symbolic antidifferentiation calculator offers a step by step mode. It provides all the details of a calculation. It helps to understand the antidifferentiation rules.

#### Most common antiderivatives

Antiderivatives calculator allows to calculate most common antiderivatives.

• Antiderivative of constant function : f(x) = k, F(x) = kx
• Antiderivative of polynomial : f(x) = x, F(x)=x^2/2
• Antiderivative of polynomial: f(x) = x^n, F(x) = x^(n+1)/(n+1)
• Antiderivative of rational function : f(x) = 1/x^n, F(x) = -1/((n-1)*x^(n-1))
•  antiderivative(k;x) kx + c antiderivative(x) x^2/2 + c antiderivative(x^n) x^(n+1)/(n+1) + c antiderivative(1/x^n) -1/((n-1)*x^(n-1)) + c antiderivative(abs(x)) x/2 + c antiderivative("arccos"(x)) x*arccos(x)-sqrt(1-(x)^2) + c antiderivative("arcsin"(x)) x*arcsin(x)+sqrt(1-(x)^2) + c antiderivative("arctan"(x)) x*arctan(x)-1/2*ln(1+(x)^2) + c antiderivative(ch(x)) sh(x) + c antiderivative(cos(x)) sin(x) + c antiderivative(""cotan""(x)) ln(sin(x)) + c antiderivative("coth"(x)) ln(sh(x)) + c antiderivative(exp(x)) exp(x) + c antiderivative(ln(x)) x*ln(x)-x + c antiderivative(log(x)) (x*log(x)-x)/ln(10) + c antiderivative(sh(x)) ch(x) + c antiderivative(sin(x)) -cos(x) + c antiderivative(sqrt(x)) 2/3*(x)^(3/2) + c antiderivative(tan(x)) -ln(cos(x)) + c antiderivative(th(x)) ln(ch(x)) + c

### Conversion of measurement units

Online computing software provides a function unit conversion , which allows to perform conversions length, area or volume.

### Cube root function

Calculating the cube root of a number can be obtained through the cube root function, the derivative of the cube root and a antiderivative cube root can also be calculated.

### Square root function

Calculating the square root of a number can be obtained through the square root function, the derivative of the square root and a antiderivative square root can also be calculated.

### Usual mathematical functions

The online software has most of the functions of a scientific calculator online , it includes all the standard scientific mathematical functions : function absolute value (abs), function arccosine (arccos), function arcsine (arcsin), function arctangent (arctan), function hyperbolic cosine (ch), function cosine (cos), function cosecant (cosec), function cotangent (cotan), function hyperbolic cotangent (coth), function cube root (cube_root), function exponential (exp), function napierian logarithm (ln), function logarithm (log), function secant (sec), function hyperbolic sine (sh), function sine (sin), function square root (sqrt), function tangent (tan), function hyperbolic tangent (th) and many other scientific mathematical functions online.

### Other functions

This online math calculator software has many other mathematical calculation functions online , to have the list refer to the section list of functions .