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- W3022983836 abstract "Publisher SummaryThis chapter discusses how to recognize as to which functions can be integrated in the sense of finding a recognizable indefinite integral. There are many techniques that have evolved over a period of decades. The chapter discusses a collection of tricks. Each trick was discovered in response to the need to calculate a particular integral. The definite integral of any continuous function can be calculated to any number of decimal places of accuracy by a variety of numerical techniques. The chapter discusses some of these techniques and reviews the basic formulas of integration. The most powerful method is called integration by parts; it is derived from the product rule of differentiation written in terms of differentials. The trick in using integration by parts is to rewrite an expression that is difficult to integrate in terms of an expression for which an integral is readily obtainable. The chapter discusses how to integrate some classes of trigonometric functions. There are many different kinds of substitutions that allow to integrate more easily." @default.
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- W3022983836 date "1981-01-01" @default.
- W3022983836 modified "2023-09-27" @default.
- W3022983836 title "TECHNIQUES OF INTEGRATION" @default.
- W3022983836 doi "https://doi.org/10.1016/b978-0-12-304360-3.50013-x" @default.
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