2 " a2x2 x3 sinaxdx = cosax (93) ! (98) ebx 1 cos(ax)dx ebx asinax = + bcosax ! ! sinaxsinhbxdx = (110) 1 !!!!!!!!!! ! sinhaxcoshbxdx = (112) 1 [ ] !!!!!!!!!!

An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with volumes 1–3 listing integrals and series of elementary and special functions, …

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Basic Integrals 1. ∫ u n d u = u n + 1 n + 1 + C, n ≠ 1 2. ∫ d u u = ln | u | + C 3. ∫ e u d u = e u + C 4. ∫ a u d u = a u ln a + C 5. ∫ sin u d u = −cos u + C 6. ∫ cos u d u = sin u + C 7. ∫ sec 2 u d u = …

Integrals Involving a a2 + u u2, a a > 0. Integrals Involving u u2 − a a2, a a > 0. Integrals Involving a a2 − u u2, a a > 0. Integrals Involving 2 au − u u2, a a > 0. Integrals Involving a a + bu, a a ≠ 0.

Table of Integrals With the exception of exponent restrictions, antiderivatives in this table appear without conditions—some are valid only when appropriate restrictions on parameters (e.g., a > …

Integrals with Trigonometric Functions sec2 xdx = tan x tan xdx = ln cos x (13) Products of Trigonometric Functions and Exponentials

Table of some indefinite integrals formulas including elementary, trigonometric, exponential and hyperbolic functions.