# §4.26 Integrals

## §4.26(i) Introduction

Throughout this section the variables are assumed to be real. The results in §§4.26(ii) and 4.26(iv) can be extended to the complex plane by using continuous branches and avoiding singularities.

## §4.26(ii) Indefinite Integrals

For the right-hand side see (4.23.41) and (4.23.42).

## §4.26(iii) Definite Integrals

Throughout this subsection and are integers.

4.26.9,
4.26.10,
4.26.11.
4.26.12
4.26.13

4.26.14,
4.26.15.
4.26.17,
4.26.18,
4.26.20,
4.26.21.

## §4.26(v) Compendia

Extensive compendia of indefinite and definite integrals of trigonometric and inverse trigonometric functions include Apelblat (1983, pp. 48–109), Bierens de Haan (1939), Gradshteyn and Ryzhik (2000, Chapters 2–4), Gröbner and Hofreiter (1949, pp. 116–139), Gröbner and Hofreiter (1950, pp. 94–160), and Prudnikov et al. (1986a, §§1.5, 1.7, 2.5, 2.7).