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11: 9.11 Products
§9.11(iv) Indefinite Integrals
9.11.19 0 d t Ai 2 ( t ) + Bi 2 ( t ) = 0 t d t Ai 2 ( t ) + Bi 2 ( t ) = π 2 6 .
12: 4.10 Integrals
Extensive compendia of indefinite and definite integrals of logarithms and exponentials include Apelblat (1983, pp. 16–47), Bierens de Haan (1939), Gröbner and Hofreiter (1949, pp. 107–116), Gröbner and Hofreiter (1950, pp. 52–90), Gradshteyn and Ryzhik (2000, Chapters 2–4), and Prudnikov et al. (1986a, §§1.3, 1.6, 2.3, 2.6).
13: 14.17 Integrals
§14.17(i) Indefinite Integrals
14: 18.17 Integrals
§18.17(i) Indefinite Integrals
Jacobi
Laguerre
Hermite
15: 1.4 Calculus of One Variable
§1.4(iv) Indefinite Integrals
See §§4.10, 4.26(ii), 4.26(iv), 4.40(ii), and 4.40(iv) for indefinite integrals involving the elementary functions. …
16: 10.43 Integrals
§10.43(i) Indefinite Integrals
17: Bibliography M
  • J. C. Mason (1993) Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms. In Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991), Vol. 49, pp. 169–178.
  • L. C. Maximon (1955) On the evaluation of indefinite integrals involving the special functions: Application of method. Quart. Appl. Math. 13, pp. 84–93.
  • 18: 10.22 Integrals
    §10.22(i) Indefinite Integrals
    z - μ - ν + 1 𝒞 μ ( a z ) 𝒟 ν ( a z ) d z = z - μ - ν + 2 2 ( 1 - μ - ν ) ( 𝒞 μ ( a z ) 𝒟 ν ( a z ) + 𝒞 μ - 1 ( a z ) 𝒟 ν - 1 ( a z ) ) , μ + ν 1 .
    19: 1.6 Vectors and Vector-Valued Functions
    Thus pairs of indefinite suffices in an expression are resolved by being summed over (or “traced” over). …