Differential And Integral Calculus
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Integration an indirect process. Differentiation is a direct process ; by means of the fundamental formulas the derivative of any elementary function may be found. On the other hand, to find an integral of a given function, we must be able to discover a function whose derivative is the given integrand, and this is always in the last analysis a matter of trial. The problem can by no means always be solved ; in fact, there are many comparatively simple functions whose integrals cannot be expresse...d in terms of elementary functions*. 79. Constant of integration. In each of the examples of § 77, an arbitrary constant presented itself. It is clear that this will be the case in general ; i. E. A function whose * It will be shown in § 81 that for every contiimous function an integral exists, although it may not be an elementary function. THE INDEFINITE INTEGRAL 119 derivative is given is not completely determined, since it contains an arbitrary additive constant, the constant of integration.
What to read after Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Clyde E Clyde Elton Love to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Integration an indirect process. Differentiation is a direct process ; by means of the fundamental formulas the derivative of any elementary function may be found. On the other hand, to find an integral of a given function, we must be able to discover a function whose derivative is the given integrand, and this is always in the last analysis a matter of trial. The problem can by no means always be solved ; in fact, there are many comparatively simple functions whose integrals cannot be expresse...d in terms of elementary functions*. 79. Constant of integration. In each of the examples of § 77, an arbitrary constant presented itself. It is clear that this will be the case in general ; i. E. A function whose * It will be shown in § 81 that for every contiimous function an integral exists, although it may not be an elementary function. THE INDEFINITE INTEGRAL 119 derivative is given is not completely determined, since it contains an arbitrary additive constant, the constant of integration.
What to read after Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Clyde E Clyde Elton Love to read onlineMoreLess
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