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mathportal.org. Integration Formulas. 1. Common Integrals. Indefinite Integral. Method of substitution. ( ( )) ( ). ( ). f g x g xdx f udu. ?. = ?. ?. Integration by u(x)v (x)dx = u(x)v(x) v(x)u (x)dx. RATIONAL FUNCTIONS. (5). 1 ax + b dx = 1 a ln(ax + b). (6). 1. (x + a)2 dx = 1 x + a. (7). (x + a)n dx = (x + a)n a. 1+n. + x. 1+ n. 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: Integrals involving A list of numbered references is given at the end of the book. These are referred to rithm of an absolute value is shown, in giving an integral, so as to indicate degree of ( ). Q x then factor the denominator as completely as possible and find the partial fraction decomposition of the rational expression. Integrate the partial 14 Jun 2014 Table of Basic Integrals. Basic Forms x" dx = Intl. , n +-1 nxxnti da = In 1211. Sudv = wv – Svdu udv = UV – / vdu. ,dx. J ax + b. In ax + b. Table of Integrals*. Basic Forms. Integrals with Logarithms. /x/ax + bdx = , (-26° + abx + 3a'z?)Vax + b (26). | arde - 4. ** n+1. T. In axdx = x In ax – I. (42) dx = ln |x||. Integration is the basic operation in integral calculus. While differentiation has easy rules by Print/export. Create a book · Download as PDF · Printable version Elementary integrals. All of these follow immediately from the table of derivatives. They should be memorized. ? sec x dx = ln | sec x + tanx| + C. ? cf(x) dx = c.From integral-table.com, last revised June 14, 2014. This material is provided as is without warranty or representation about the accuracy, correctness or.