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notes about integration techniques

notes about integration techniques - University of Toronto...

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University of Toronto, MAT 137Y A Note About Integration Techniques for Term Test 3 One of the most common questions asked is whether one is responsible for memorizing the table of integrals that is provided in the front and back covers of the text. The answer is obviously no; the basic strategy is to apply the techniques of integration which reduces the integral to one or more basic integrals which you have memorized. A table of integrals will NOT be provided for the test. The following integrals are ones that should be memorized. The constants of integration have been omitted. Table of Basic Integration Formulas 1 . Z x n dx = x n + 1 n + 1 ( n = - 1 ) 2 . Z 1 x dx = ln | x | 3 . Z e x dx = e x 4 . Z a x dx = a x ln a 5 . Z sin xdx = - cos x 6 . Z cos xdx = sin x 7 . Z sec 2 xdx = tan x 8 . Z csc 2 xdx = - cot x 9 . Z sec x tan xdx = sec x 10 . Z csc x cot xdx = - csc x 11 . Z sec xdx = ln | sec x + tan x | 12 . Z csc xdx = ln | csc x - cot x | 13 . Z tan xdx = ln | sec x | 14 . Z cot xdx = ln | sin x | 15 .
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