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Table of Integrals, Series, and Products. Seventh Edition. I.S. Gradshteyn and I.M. Ryzhik. Alan Jeffrey, Editor. University of Newcastle upon Tyne, England. Table of Integrals. ?. Basic Forms. ? xndx = Integrals of Rational Functions. ?. 1. (x + a)2 dx = ? Integrals with Roots. ? v x ? adx =. The copyright holder makes no representation about the accuracy, correctness, or suitability of this material for any purpose. Table of Integrals. TABLE OF INTEGRALS. 148. In the following table, the constant of integration, C, is omitted but should be added to the result of every integration. Lists of integrals. Integration is the basic operation in integral calculus. While differentiation has easy rules by which the derivative of a complicated e etc). Functions that appear at the top of the list are more like to be u, functions at the bottom of the list are more like to be dv. Trig Integrals:. Standard Integration Techniques. Note that all but the first one of these tend to be taught in a Calculus II class. u Substitution. Integral Formulas: Indefinite integrals have +C as an arbitrary constant. 1. ( ). ( ).Table of Standard Integrals x" dx = - xnt1. +C. (n = -1) sec2 x dx = tan x + c. = ln x. + cosec? x dx = -cot x +C le dx = ex + c.