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What is the integral of 1 x? - Mathematics Stack Exchange 16 Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers If we allow more generality, we find an interesting paradox For instance, suppose the limits on the integral are from −A A to +A + A where A A is a real, positive number
What does it mean for an integral to be convergent? So an improper integral is a limit which is a number Does it make sense to talk about a number being convergent divergent? It's fixed and does not change with respect to the independent variable Moreover, if the improper integral is defined as the value of the limit only if the limit exists, then in cases where limit does not exist, the "
What does the dx mean in an integral? [duplicate] I know dy dx for example means "derivative of y with respect to x," but there's another context that confuses me You will generally just see a dx term sitting at the end of an integral equation an