TableOfIntegrals

TableOfIntegrals - Table of Standard Integrals It will be...

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Table of Standard Integrals It will be assumed that you know at least the following set of integrals. The list is not exhaustive and you may encounter other types of integrals during the course, but they will usually be amenable to one of the techniques outlined in the lecture notes. All of these can be verified by differentiating the right-hand sides with respect to x . Z x n dx = x n +1 n + 1 + c, n 6 = - 1 . Z 1 x dx = ln | x | + c. Z e αx dx = e αx α + c, α 6 = 0 . Z f 0 ( x ) f ( x ) dx = ln | f ( x ) | + c. Z f 0 ( g ( x )) g 0 ( x ) dx = f ( g ( x )) + c. Z sin αxdx = - 1 α cos αx + c, α 6 = 0 . Z cos αxdx = 1 α sin αx + c, α 6 = 0 . Z tan αxdx = 1 α ln | sec αx | + c, α 6 = 0 . Z cot xdx = ln | sin x | + c. Z sec xdx = ln | sec x + tan x | + c. Z cosec xdx = ln | cosec x - cot x | + c. Z sec 2 xdx = tan x + c. Z cosec 2 xdx = - cot x + c.
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This note was uploaded on 02/01/2012 for the course MATH 101 taught by Professor G during the Spring '11 term at Uni. Southampton.

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TableOfIntegrals - Table of Standard Integrals It will be...

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