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This paper presents a generalization for Differential and Integral Calculus.Just as the derivative is the instantaneous angular coefficient of the tangentline to a function, the generalized derivative is the instantaneous parametervalue of a reference function (derivator function) tangent to the function. Thegeneralized integral reverses the generalized derivative, and its calculationis presented without antiderivatives. Generalized derivatives and integrals arepresented for polynomial, exponential and trigonometric derivators andintegrators functions. As an example of the application of GeneralizedCalculus, the concept of instantaneous value provided by the derivative is usedto precisely determine time and frequency (or position and momentum) in afunction (signal or wave function), opposing Heisenberg's UncertaintyPrinciple.

Generalized Differential and Integral Calculus and Heisenberg Uncertainty Principle