Piecewisedefined function
What the calculator can do?
On this page you can get various actions with a piecewisedefined function, as well as for most services  get the detailed solution.
 Derivative of a piecewise
 Plot a graph
 Curve sketching
 Defined integral
 Indefined integral of similar functions
 Limit of piecewises
 Fourier series (In common there are piecewises for calculating a series in the examples)
 Taylor series
Examples of piecewises
How to set conditions?
Here are some examples of how to set conditions:

x≠0

x is not zero

x > pi

x greater than Pi number

pi/2 <= x <= pi/2

x less than or equal to Pi number in half, but not strictly greater than Pi in half

true

means "otherwise"
First, set the function:
 Piecewisedefined
 Piecewisecontinuous
The above examples also contain:

the modulus or absolute value: absolute(x) or x

square roots sqrt(x),
cubic roots cbrt(x)

trigonometric functions:
sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)

exponential functions and exponents exp(x)

inverse trigonometric functions:
arcsine asin(x), arccosine acos(x), arctangent atan(x),
arccotangent acot(x)

natural logarithms ln(x),
decimal logarithms log(x)

hyperbolic functions:
hyperbolic sine sh(x), hyperbolic cosine ch(x),
hyperbolic tangent and cotangent tanh(x), ctanh(x)

inverse hyperbolic functions:
hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x),
hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)

other trigonometry and hyperbolic functions:
secant sec(x), cosecant csc(x), arcsecant asec(x),
arccosecant acsc(x), hyperbolic secant sech(x),
hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x),
hyperbolic arccosecant acsch(x)

rounding functions:
round down floor(x), round up ceiling(x)

the sign of a number:
sign(x)

for probability theory:
the error function erf(x) (integral of probability),
Laplace function laplace(x)

Factorial of x:
x! or factorial(x)

Gamma function gamma(x)

Lambert's function LambertW(x)

Trigonometric integrals: Si(x),
Ci(x),
Shi(x),
Chi(x)
The insertion rules
The following operations can be performed
 2*x
  multiplication
 3/x
  division
 x^2
  squaring
 x^3
  cubing
 x^5
  raising to the power
 x + 7
  addition
 x  6
  subtraction
 Real numbers
 insert as 7.5, no 7,5
Constants
 pi
  number Pi
 e
  the base of natural logarithm
 i
  complex number
 oo
  symbol of infinity