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Integral Identities
M408C
17
Mathematics
Undergraduate 1
12/09/2011
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Term
Integral (1/u) du
 Definition
ln abs(u) + C
Term
Integral a^u du
 Definition
(a^u)/(ln(a)) + C
Term
Integral sin(u) du
 Definition
-cos(u) + C
Term
Integral cos(u) du
 Definition
sin(u) + C
Term
Integral (sec(u))^2 du
 Definition
tan(u) + C
Term
Integral (csc(u))^2 du
 Definition
-cot(u) + C
Term
Integral sec(u)tan(u) du
 Definition
sec(u) + C
Term
Integral csc(u)cot(u) du
 Definition
-csc(u) + C
Term
Integral tan(u) du
 Definition
ln abs(sec(u)) + C
Term
Integral cot(u) du
 Definition
ln abs(sin(u)) + C
Term
Integral sec(u) du
 Definition
ln abs(sec(u) + tan(u)) + C
Term
Integral csc(u) du
 Definition
ln abs(csc(u) - cot(u)) + C
Term
Integral 1/sqrt(a^2 - u^2) du
 Definition
arcsin(u/a) + C, a>0
Term
Integral 1/(a^2 + u^2) du
 Definition
1/a arctan(u/a) + C
Term
Integral 1/(u*sqrt(u^2 - a^2) du
 Definition
1/a arcsec(u/a) + C
Term
Integral 1/(a^2 - u^2) du
 Definition
1/(2a) ln abs((u+a)/(u-a)) + C
Term
Integral 1/(u^2 - a^2) du
 Definition
1/(2a) ln abs((u-a)/(u+a)) + C
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