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## 2.2 Algebraic functions

### 2.20 Introduction

2.201 The integrals $∫R(x,(αx+βγx+δ)r,(αx+βγx+δ)s,…)dx,$ where $r,s,…$ are rational numbers, can be reduced to integrals of rational functions by means of the substitution

$\frac{\text{α}x+\text{β}}{\text{γ}x+\text{δ}}={t}^{m},$

FI II 57

where m is the common denominator of the fractions $r,s,…$

2.202 Integrals of the form $∫​xm(a+bxn)pdx$, are rational ...

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