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Integral

 Method with 2 overloads

• Integral​(AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity)

  Summary

  Hangs your entity to an integral node
  (to evaluate instead use Integrate(AngouriMath.Entity.Variable))
  

  Parameter "expr"

  Expression to be hung

  Parameter "var"

  Variable over which integral is taken

  Parameter "from"

  The lower bound for integrating

  Parameter "to"

  The upper bound for integrating

  Example

  using System;
  using static AngouriMath.MathS;
  
  var (x, a) = Var("x", "a");
  
  var e1 = Derivative(Sin(Cos(x)), x);
  Console.WriteLine(e1);
  Console.WriteLine(e1.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e2 = Derivative(Sin(Cos(x)), x, 2);
  Console.WriteLine(e2);
  Console.WriteLine(e2.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e3 = Integral(Sin(a * x), x);
  Console.WriteLine(e3);
  Console.WriteLine(e3.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e4 = Integral(Sin(a * x), x, 2);
  Console.WriteLine(e4);
  Console.WriteLine(e4.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e5 = Limit(Sin(a * x) / x, x, 0);
  Console.WriteLine(e5);
  Console.WriteLine(e5.InnerSimplified);

  
  Prints
  

  derivative(sin(cos(x)), x)
  cos(cos(x)) * -sin(x)
  -----------------------
  derivative(sin(cos(x)), x, 2)
  -sin(cos(x)) * -sin(x) * -sin(x) + cos(x) * (-1) * cos(cos(x))
  -----------------------
  integral(sin(a * x), x)
  -cos(a * x) / a
  -----------------------
  integral(sin(a * x), x, 2)
  -sin(a * x) / a / a
  -----------------------
  limit(sin(a * x) / x, x, 0)
  a

• Integral​(AngouriMath.​Entity,​AngouriMath.​Entity)

  Summary

  Hangs your entity to an integral node
  (to evaluate instead use Integrate(AngouriMath.Entity.Variable))
  

  Parameter "expr"

  Expression to be hung

  Parameter "var"

  Variable over which integral is taken

  Example

  using System;
  using static AngouriMath.MathS;
  
  var (x, a) = Var("x", "a");
  
  var e1 = Derivative(Sin(Cos(x)), x);
  Console.WriteLine(e1);
  Console.WriteLine(e1.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e2 = Derivative(Sin(Cos(x)), x, 2);
  Console.WriteLine(e2);
  Console.WriteLine(e2.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e3 = Integral(Sin(a * x), x);
  Console.WriteLine(e3);
  Console.WriteLine(e3.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e4 = Integral(Sin(a * x), x, 2);
  Console.WriteLine(e4);
  Console.WriteLine(e4.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e5 = Limit(Sin(a * x) / x, x, 0);
  Console.WriteLine(e5);
  Console.WriteLine(e5.InnerSimplified);

  
  Prints
  

  derivative(sin(cos(x)), x)
  cos(cos(x)) * -sin(x)
  -----------------------
  derivative(sin(cos(x)), x, 2)
  -sin(cos(x)) * -sin(x) * -sin(x) + cos(x) * (-1) * cos(cos(x))
  -----------------------
  integral(sin(a * x), x)
  -cos(a * x) / a
  -----------------------
  integral(sin(a * x), x, 2)
  -sin(a * x) / a / a
  -----------------------
  limit(sin(a * x) / x, x, 0)
  a