2 " a2x2 x3 sinaxdx = cosax (93) ! (98) ebx 1 cos(ax)dx ebx asinax = + bcosax ! ! sinaxsinhbxdx = (110) 1 !!!!!!!!!! ! sinhaxcoshbxdx = (112) 1 [ ] !!!!!!!!!!
Lists of integrals - Wikipedia
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, volume 4–5 are …
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A Table of Integrals - Calculus Volume 1 | OpenStax
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Appendix B: Table of Integrals - Mathematics LibreTexts
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Appendix A: Table of Integrals | Calculus II - Lumen Learning
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 = tan u + C 8. ∫ …
Table of Integrals
Integrals with Logarithms ∫ ln a x d x = x ln a x − x \int \ln { a x} dx = x \ln { a x} - x ∫ lnaxdx = xlnax− x ∫ ln a x x d x = 1 2 (ln a x) 2 \int \frac {\ln { a x}} {x} dx = \frac {1} {2} \left (\ln { a x}\right)^ {2} ∫ …
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 > 0) and/or …
Integrals with Trigonometric Functions sec2 xdx = tan x tan xdx = ln cos x (13) Products of Trigonometric Functions and Exponentials
Table of Integrals
Throughout this table, a and b are given constants, independent of x and C is an arbitrary constant.