# Online math calculators

Online calculators are the special computer programs designed to solve some tasks online. Such a programs allow one to get immediate solution of specified task.

This section contains
*online calculators*
designed to solve various mathematical tasks.

- Online calculators user's manual 2
- Basic mathematical operations 3
- Complex numbers operations 3
- Polynomial operations 1
- Limits and derivatives 5
- Integral and its applications 5
- Series 4
- Function analysis 9
- Ordinary differential equations 1
- Equations and inequalities 9
- Systems of linear algebraic equations (SLAE) 3
- Matrix operations 12
- Vectors operations 19

## Online calculators user's manual 2

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Math expressions input rules
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Basic rules of mathematical expressions input, using simple input are described.

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Math panel input rules
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Basic rules of mathematical expressions input, using advanced input are described.

## Basic mathematical operations 3

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Simplify expressions calculator
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Calculator performs simple actions: simplifies similar terms, evaluates functions, make reduction of fractions, ect.

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Long division calculator
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Calculator performs long division operation of numbers with step by step solution.

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Find partial fraction decomposition
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Calculator performs partial fraction decomposition. Step by step is also available.

## Complex numbers operations 3

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Calculator of representation complex number form
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Calculator allows to convert complex number representation between different forms: algebraic, trigonometric and exponential.

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Find n-th power of complex number
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Calculator allows to find natural power of complex number.

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Find n-th root of complex number
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Calculator finds complex number root of positive degree, using de Moivre's formula.

## Polynomial operations 1

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Complete square calculator
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Calculator finds complete square for quadratic polynomial.

## Limits and derivatives 5

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Solve limits
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Калькулятор вычисляет предел выражения с описанием подробного хода решения на русском языке

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Solve derivatives
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Calculator allows to find simple derivative of the function with step by step solution.

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Solve parametric function derivative
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Calculator finds derivative of parametrically defined function. Step by step solution is also available.

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Implicit function derivative
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Calculator finds derivative of implicitly defined function with step by step solution.

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Partial derivatives
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Calculator finds partial derivative of multivariable function. Step by step solution is also available.

## Integral and its applications 5

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Solve indefinite integrals
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Calculator is able to find indefinite integral of many different sub integral expressions with step by step solution.

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Solve definite integrals
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Calculator finds definite integrals of many sub integral expressions using Newton-Leibniz formula. Step by step solution is also available.

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Solve double definite integrals
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Calculator finds double definite integrals by means of repeated integral.

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Area between crossed curves
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Calculator finds the area between crossed curves, using definite integral.

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Arc length of decart curve online calculator
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Calculator finds arc length of the given function, using definite integral.

## Series 4

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Taylor series
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Calculator finds Taylor series representation of the function at the given point.

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Fourier series calculator
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Calculator finds Fourier series decomposition of function. Calculator is also able to find only cosine/sine fourier series decomposition.

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Series sum
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Calculator finds sum of different series.

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Series convergence calculator
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Calculator is able to test series convergence.

## Function analysis 9

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Function domain calculator
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Calculator finds function's domain with step by step solution.

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Function range calculator
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Calculator finds range of almost any function.

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Function asymptotes calculator
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Calculator finds vertical, horizontal and oblique asymptotes of function.

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Function extremum calculator
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Calculator finds extremum of the function with step by step solution.

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Tangent equation calculator
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Calculator finds tangent of the function at the given point.

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Normal equation calculator
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Calculator finds normal of the function at the given point.

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Cartesian plot
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Calculator graphs of the cartesian 2d function.

## Ordinary differential equations 1

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Solve differential equations
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Calculator solves differential equations with step by step solution.

## Equations and inequalities 9

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Solve linear equation
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Online calculator is able to solve linear equations with step by step solution.

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Solve quadratic equation
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Calculator solves quadratic equations by means of discriminant formula and simplier methods if possible.

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Solve cubic equations
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Calculator solves cubic equations by means of many different ways, starting from most simple ones and ending to Cardano formulae.

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Solve arbitrary power equation
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Calculator solves polynomial equations of arbitrary degree. To find the roots of equation calculator uses the numerical algorithm.

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Solve trigonometric equations
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Calculator solves trigonometric equations with step by step solution.

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Solve exponential equations
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Calculator is able to solve exponential equations. Step by step solution is also present.

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Solve logarithmic equations
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Calculator is able to solve any logarithmic equation with step by step solution.

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Solve equations of any form
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Calculator solver equations of any type. If calculator fails to find exact solution of equation, numerical algorithms are used.

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Solve inequalities
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Calculator solves any types of inequalities with step by step solution.

## Systems of linear algebraic equations (SLAE) 3

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Solve system of linear equations by substitution method
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Calculator solves SLAE by substitution method with step by step solution.

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Solve system of linear equations by Cramer's rule
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Calculator solves SLAE by means of Cramer's rule. Step by step solution is also available.

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Solve system of linear equations by inverse matrix method
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Calculator solver SLAE by using inverse matrix method. Step by step solution is also available.

## Matrix operations 12

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Addition
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Calculator finds sum of two matrices. Step by step solution is also available.

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Subtraction
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Calculator finds difference of two matrices with step by step solution.

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Multiplication
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Calculator finds product of two matrices. Step by step solution is also available.

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Power
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Calculator finds matrix power. Step by step solution is also available.

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Find matrix determinant
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Calculator finds matrix determinant by means of Gauss or decomposition methods with step by step solution.

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Find matrix transpose
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Calculator finds matrix transpose.

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Find row reduced matrix form
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Calculator is able to find row reduced form of input matrix with step by step solution.

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Find matrix rank
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Calculator finds rank of matrix. Step by step solution is also available.

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Find matrix trace
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Calculator finds matrix trace with step by step solution.

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Find matrix inverse
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Calculator finds inverse matrix by means Jordan-Gauss and algebraic adjunct methods.

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Find characteristic polynomial of the matrix
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Calculator finds characteristic polynomial of matrix with step by step solution.

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Eigenvalues and eigenvectors
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Calculator finds eigenvalues and eigenvectors of matrix.

## Vectors operations 19

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Vectors addition
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Calculator finds sum of two vectors given in coordinate form.

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Vectors difference
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Calculator finds difference of two vectors given in coordinate form.

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Scalar times vector
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Calculator muliplies vector by scalar.

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Scalar product of vectors
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Calculator allows you to find scalar product of two vectors.

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Vector product of vectors
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Calculator allows you to find vector product of two vectors.

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Scalar triple (mixed) product of vectors
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Calculator finds mixed product of three vectors.

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Vector magnitude (length)
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Calculator finds length of the given vector with step by step solution.

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Angle between vectors
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Calculator is able to find angle between two vectors. Step by step solution is also available.

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Vector's directional cosines
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Calculator finds directional cosines of the vector with step by step solution.

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Vector's projection
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Calculator finds projection of the vector to axis or another vector.

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Area of the triangle, build on vectors
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Calculator finds triangle area. Triangle is given by two vectors.

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Area of the parallelogram, build on vectors
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Calculator finds parallelogram area. Parallelogram is given by two vectors.

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Volume of the parallelepiped, build on vectors
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Calculator finds volume of the parallelepiped, build on vectors.

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Volume of the tetrahedron, build on vectors
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Calculator finds volume of the tetrahedron, build on vectors.

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Check vectors orthogonality
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Calculator checks vectors orthogonality with step by step solution.

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Check vectors collinearity
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Calculator checks collinearity of two given vectors.

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Check vectors complanarity
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Calculator checks complanarity of three given vectors.

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Check system of vectors form the basis
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Calculator checks whether given system of vectors form basis.

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Find vector decomposition in basis
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Calculator is able to find vector decomposition in basis with step by step solution.

Site contains online calculators of two types: based on Wolfram Alpha system and designed by us.

## Wolfram Alpha calculators

Calculators based on Wolfram Alpha system are presented only in introductory purposes, all rights of using these calculators belong to Wolfram LLC company.

## Our online calculators

Most of calculators, however, designed by us. These calculators compute step by step solution for free!

Our calculators had intensively beed tested and now we can guarantee correctness of their step by step solution.