Integral of a function

• Increment


  Implies a changed in quantity
• Rate of change

  Ratio of the difference of the values
• Increment


  Change in quantity, denoted by symbol delta (Δ)
• Rate of change


  In Calculus, the ratio of the difference of the values of a function y and the difference of the values of its corresponding variable x
• Limit of a Function

  The value of a function y as its corresponding variable x gets closer to a certain value
• Indeterminate Functions


  Rational functions in which one can obtain an undefined value of its limit if not simplified further
• Derivative of a Function

  The limit of the rate of change of a function as the change in variable approaches zero, determines the slope of nonlinear functions (or curves) at a certain point
• Infinity


  In Mathematics, the largest element in the number system, formed when the denominator in a fraction (or in a rational function) approaches zero, but not a number obtained through division by zero
• Natural Logarithm (ln)


  The ordinary logarithm of a number with base e
• e

  The Euler's constant, approximately equal to 2.71828
• Higher-Order Derivative


  A series of derivatives of a function obtained further from differentiating the derivatives of a given function
• Integral of a Function


  The inverse of the derivative of a function, also called the "Anti-derivative of a Function"
• Indefinite Integral of a Function

  A general expression for an integral of a function, with an added constant term c at the end
• Definite Integral of a Function


  An integral with the given upper and lower limit values of a function, corresponding to a numerical value