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Calc
Differentiation and integration
36
Mathematics
12th Grade
11/30/2007
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Term
cu
 Definition
cu'
Term
uv
 Definition
uv'+vu'
Term
c
 Definition
0
Term
x
 Definition
1
Term
ln u
 Definition
u'/u
Term
sin u
 Definition
(cos u)u'
Term
tan u
 Definition
(sec2u)u'
Term
sec u
 Definition
(sec u tan u)u'
Term
u +/- v
 Definition
u' +/- v'
Term
u/v
 Definition
(vu'-uv')/v2
Term
un
 Definition
nun-1u'
Term
|u|
 Definition
(u/|u|)(u') u≠0
Term
eu
 Definition
euu'
Term
cos u
 Definition
-(sin u)u'
Term
cot u
 Definition
-(csc2u)u'
Term
cscu
 Definition
-(csc u cot u)u'
Term
INT kf(u)
 Definition
k INT f(u) du
Term
du
 Definition
u+C
Term
du/u
 Definition
ln|u| + C
Term
sin u du
 Definition
-cos u + C
Term
tan u du
 Definition
-ln|cos u| + C
Term
sec u du
 Definition
ln|sec u + tan u| + C
Term
sec2u du
 Definition
tan u + C
Term
sec u tan u du
 Definition
sec u + C
Term
f(u) ± g(u) du
 Definition
INT f(u) du ± INT g(u) du
Term
un du
 Definition
(un+1/n+1)+ C n≠ -1
Term
eudu
 Definition
eu + C
Term
cos u du
 Definition
sin u + C
Term
cot u du
 Definition
ln|sin u| + C
Term
csc u du
 Definition
-ln|csc u +cot u| + C
Term
csc2u du
 Definition
-cot u + C
Term
csc u cot u du
 Definition
-csc u + C
Term
au
 Definition
ln(a)(auu')
Term
logau
 Definition
[1/(lna)(u)]u'
Term
audu
 Definition
(1/lna)(au)+C
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