The Definite Integral. There are certain methods of integration which Appendix G. 10. Download a PDF version by clicking on the button below, or email books@brookings. Many problems in applied mathematics involve the integration of functions given by complicated formulae, and practi- tioners consult a Table of Integrals in order to complete the integration. You will not gain much by just reading this booklet. The second type of problem is dealt with in Introduction to Integration Part 2 - The Definite. In this chapter we will consider the problem of recovering a function from knowledge of its derivative, or, equivalently, for a given function we will try to find another function whose derivative is the given function's. u a bu. H. 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