Online Calculator with Symbolic Calculations and Graphs

Online Calculator is a simple web application that lets you perform advanced calculations, plot 2D and 3D graphs, and make symbolic calculations such as differentiation.

Enter functions in standard mathematical notation, using x as independent variable. As evident from the examples on this page, arguments to helper functions must be enclosed into parentheses (or braces or brackets).

Precision and accuracy.
Please be aware that there are certain limitations to all web-based calculators. The arithmetic used can lead to errors in some calculations when the numbers get very big or very small. If your work depends on being absolutely, positively accurate to the last decimal place - use a real calculator!

1. Basic Arithmetic

Compute expressions containing standard mathematical symbols. The following table lists operators that come between the two numbers on which they operate, e.g., to multiply 2 times 3, use 2 * 3.

Operator	Function	Example
+	Addition	[ 11.81 + 12.14 + 14.23 ]
-	Subtraction	[ 68 - 11 - 21 ]
*	Multiplication	[ 5 * 6 * 7 ]
/	Division	[ 432 / 5 ]
^	Exponentiation (raise to a power of)	3^4

2. Advanced Math

Compute results involving mathematical constants, such as e, pi, and mathematical functions. The following table lists just some of the functions built into this online calculator.

Operator	Function	Example
sin, cos, tan, sec, csc, cot, etc.	Trigonometric functions (arguments are assumed to be in radians)	[ cos(pi/5) ]
asin, acos, atan, acsc, etc.	Inverse trigonometric functions	[ acos(0.3) ]
sinh, cosh, tanh, csch, arsinh, arccsch, etc.	Hyperbolic functions	[ cosh(5) ]
asinh, acosh, atanh, acsch, etc.	Area trigonometric functions	[ acosh(0.3) ]
ln	Logarithm base e	[ ln(17) ]
log	Logarithm base 10	[ log(17) ]
lb	Logarithm base 2	[ lb(17) ]
exp	Exponential function	[ exp(17) ]

3. Physical Constants

Note:Sometimes Online calculator interprets lower case letters different from upper case letters.

Long Name	Shorthand Notation	Click the Link for the Approximate Value
mathematical constant pi Π	PI()	[ PI() ]
Golden ratio	PHI()	[ PHI() ]
atomic mass units	AMU()	[ AMU() ]
Astronomical Unit	AU()	[ AU() ]
Avogadro’s number	A()	[ A() ]
Boltzmann constant	K()	[ K() ]
Electric constant, permitivity of free space	EPSILON()	[ EPSILON() ]
Electron Mass	EM()	[ EM() ]
Electron Volt	EV()	[ EV() ]
elementary charge	EC()	[ EC() ]
Euler’s constant	E()	[ E() ]
Faraday constant	F()	[ F() ]
Fine-structure constant	FSC()	[ FSC() ]
Gravitational constant	G()	[ G() ]
Magnetic flux quantum	MFQ()	[ MFQ() ]
Molar gas constant	MGC()	[ MGC() ]
Permeability of free space	PFS()	[ PFS() ]
Planck’s constant	H()	[ H() ]
Proton mass	PM()	[ PM() ]
Rydberg constant	R()	[ R() ]
speed of light in a vacuum	C()	[ C() ]
speed of sound in air at sea level	SS()	[ SS() ]
Stefan-Boltzmann constant	K	[ SB() ]

4. 2D Graphs

	Function
Simple Graph	[ graph(sin(x)) ]
Graph with multiple functions	[ graph(sin(x)*x, sin(x), x^2) ]
Set X, Y coordinate limits [x1,x2,y1,y2]	[ sin(954x)-2cos(x); graph(z,x1=-5,x2=5,y1=-5,y2=5) ]
Set number of points for smooth plot [pts]	[ sin(954x)-2cos(x); graph(z,x1=-5,x2=5,y1=-5,y2=5,pts=200) ]
Plot functions using variables	[ f1=cos(PI()x)/(-ln(2)x); f2=sqrt(9-x^2); f3=-sqrt(9-x^2); graph(f1,f2,f3,x1=-5,x2=5,y1=-5,y2=5) ]
Fourier Series Graph	[ graph(0.9^1cos(1x) / 2-0.9^2cos(2x) / 2+0.9^3cos(3x) / 2-0.9^4cos(4x) / 2+0.9^5cos(5x) / 2-0.9^6cos(6x) / 2+0.9^7cos(7x) / 2-0.9^8cos(8x) / 2+0.9^9cos(9x) / 2-0.9^10cos(10x) / 2) ]

5. 3D Graphs

	Function
Simple Graph	[ graph3d(x^2-y^2) ]
Set resolution by setting points [pts]	[ z=x^2-y^2; graph3d(z,pts=50) ]
Set resolution and [x,y,z] limits	[ z=cos(abs(x)+abs(y))*(abs(x)+abs(y)); graph3d(z,pts=30,x1=-1,x2=1,y1=-1,y2=1,z1=-0.8,z2=0.55) ]

6. Miscellaneous Calculations

	Function
Expand (x-2)⁵	[ (x-2)^5 ]
Differentiating an expression [diff]	[ diff(x^3+5exp(2x),x) ]

Functions

sqrt()	Square root of argument (number or expression inside the parentheses). Equivalent to root(argument,2)
cbrt()	Cube root of argument. Equivalent to root(argument,3)
ln()	Natural logarithm of argument (base-E logarithm of argument where E is Euler's constant)
lg()	Logarithm base-10 of argument, equivalent to logn(argument,10).
lb()	Logarithm base-2 of argument.
exp()	Exponential Function E to the power of argument, equivalent to E^argument
sin()	Sine of argument
cos()	Cosine
tan()	Tangent
cot()	Cotangent
sec()	Secant of argument, equiv. to 1/cos(arg).
csc()	Cosecant, equiv. to 1/sin(arg).
asin()	Arc sine
acos()	Arc cosine
atan()	Arc tangent
acot()	Arc cotangent
asec()	Arc secant, inverse secant.
acsc()	Arc cosecant, inverse cosecant.
sinh()	Hyperbolic sine, Sinus hyperbolicus
cosh()	Hyperbolic cosine, Cosinus hyperbolicus
tanh()	Hyperbolic tangent, Tangens hyperbolicus
coth()	Hyperbolic cotangent, Cotangens hyperbolicus
sech()	Hyperbolic secant, Secans hyperbolicus.
csch()	Hyperbolic cosecant, Cosecans hyperbolicus.
asinh()	Area sine, Area sinus hyperbolicus, inverse sinh().
acosh()	Area cosine, Area cosinus hyperbolicus, inverse cosh().
atanh()	Area tangent, Area tangens hyperbolicus, inverse tanh().
acoth()	Area cotangent, Area cotangens hyperbolicus, inverse coth().
asech()	Area- secant, Area secans hyperbolicus, inverse sech().
acsch()	Area- cosecant, Area cosecans hyperbolicus, inverse csch().
round()	Rounds argument up or down to the closest integer
floor()	Rounds arg down.
ceil()	Rounds arg up.
abs()	Absolute value of argument. Example: abs(sin(x))