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Chapter 24: Integration by Parts. Reduction Formulae

Introduction

This is a technique based on the product rule for differentiation, for expressing one integral in terms of another.It is particularly useful for integrating functions that are products of two kinds of functions:such as power times an exponent, and functions containing logarithms. The wonderful substitutionz=tan(x/2) allows transformation of any trigonometric integrand into a rational one.

 

Topics

24.1 Integration by Parts: Method

24.2 Examples

24.3 The Substitution z = tan(x / 2)