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What is the integral of a constant?

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1 Answer

Vinicius M. G. Silveira

Dec 10, 2014

The indefinite integral (with respect to #x#) of the constant function #C# is #Cx + D#, where #D# is an arbitrary constant.

This question can be solved easily noting that

#d/dx[Cx+D]=C#

and aplying the fundamental theorem of calculus:

#int C dx = int d/dx[Cx+D] dx = Cx+D#

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