In calculus, the constant of integration, often denoted by , is a constant term added to an antiderivative of a function to indicate that the indefinite integral of (i.e., the set of all antiderivatives of ), on a connected domain, is only defined up to an additive constant. This constant expresses an ambiguity inherent in the construction of antiderivatives. More specifically, if a function is defined on an interval, and is an antiderivative of , then the set of all antiderivatives of is given by the functions , where is an arbitrary constant (meaning that any value of would make a valid antiderivative). For that reason, the indefinite integral is often written as , although the constant of integration might be sometimes omitted in lists of integrals for simplicity. (Wikipedia).
The Constant of Integration is ALWAYS Zero
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From playlist Math Magic
Why the Constant of Integration +C Does NOT matter when Integrating(This is BAD Mathematics!)
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From playlist Math Magic
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From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
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This calculus video tutorial provides a basic introduction into antiderivatives. It explains how to find the indefinite integral of polynomial functions as well as rational functions. Get The Full 1 Hour 55 Minute Video on Patreon: https://www.patreon.com/MathScienceTutor Direct Link To
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