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1: 25.7 Integrals
For definite integrals of the Riemann zeta function see Prudnikov et al. (1986b, §2.4), Prudnikov et al. (1992a, §3.2), and Prudnikov et al. (1992b, §3.2).
2: 10.71 Integrals
§10.71(ii) Definite Integrals
3: 14.17 Integrals
§14.17(ii) Barnes’ Integral
§14.17(iii) Orthogonality Properties
§14.17(iv) Definite Integrals of Products
4: 4.40 Integrals
§4.40(iii) Definite Integrals
Extensive compendia of indefinite and definite integrals of hyperbolic functions include Apelblat (1983, pp. 96–109), Bierens de Haan (1939), Gröbner and Hofreiter (1949, pp. 139–160), Gröbner and Hofreiter (1950, pp. 160–167), Gradshteyn and Ryzhik (2000, Chapters 2–4), and Prudnikov et al. (1986a, §§1.4, 1.8, 2.4, 2.8).
5: 9.11 Products
§9.11(iii) Integral Representations
§9.11(v) Definite Integrals
For further definite integrals see Prudnikov et al. (1990, §1.8.2), Laurenzi (1993), Reid (1995, 1997a, 1997b), and Vallée and Soares (2010, Chapters 3, 4).
6: 4.26 Integrals
§4.26(iii) Definite Integrals
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).
7: Guide to Searching the DLMF
Table 1: Query Examples
Query Matching records contain
int_$^$ sin any definite integral of sin
Table 2: Wildcard Examples
Query What it stands for
int_$^$ sin any definite integral of sin.
8: 22.14 Integrals
§22.14(iv) Definite Integrals
9: 11.7 Integrals and Sums
§11.7(ii) Definite Integrals
10: 19.13 Integrals of Elliptic Integrals
For definite and indefinite integrals of complete elliptic integrals see Byrd and Friedman (1971, pp. 610–612, 615), Prudnikov et al. (1990, §§1.11, 2.16), Glasser (1976), Bushell (1987), and Cvijović and Klinowski (1999). For definite and indefinite integrals of incomplete elliptic integrals see Byrd and Friedman (1971, pp. 613, 616), Prudnikov et al. (1990, §§1.10.2, 2.15.2), and Cvijović and Klinowski (1994). …