House of Integrals
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Reculer pour mieux sauter! (“Draw back to leap!”) say the French, and we shall bear in mind their good advice. Before we can leap into a higher realm, we must step backwards, in two senses. We must consider more carefully some fundamental principles that we have already met but still do not really know. And we must think a little more about pulling back from a given function to an antiderivative. Does every continuous function, for example, have an antiderivative? We shall see.
KeywordsExistence Theorem Uniqueness Theorem Decimal Place Connected Domain Algebraic Function
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