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calc 1301
N/A
27
Mathematics
Undergraduate 1
04/28/2014
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Term
1/(1-x)
 Definition
Σxn
Term
ex
 Definition
Σxn/n!
Term
sinx
 Definition
Σ(-1)n x2n+1/(2n+1)!
Term
cosx
 Definition
Σ(-1)nx2n/(2n)!
Term
tan-1x
 Definition
Σ(-1)n x2n+1/2n+1
Term
ln(1+x)
 Definition
Σ(-1)n-1 xn/n
Term
(1+x)k
 Definition
Σ(k choose n) xn
Term
d/dx lnx
 Definition
1/x
Term
d/dx cosx
 Definition
-sinx
Term
d/dx sinx
 Definition
cosx
Term
d/dx tanx
 Definition
sec2x
Term
d/dx cotx
 Definition
-csc2x
Term
d/dx secx
 Definition
secxtanx
Term
d/dx cscx
 Definition
-cscxcotx
Term
d/dx arcsinx
 Definition
1/(sqrt(1-x2))
Term
d/dx arccosx
 Definition
-1/(sqrt(1-x2))
Term
d/dx arctanx
 Definition
1/(1+x2)
Term
d/dx arccscx
 Definition
-1/(xsqrt(x2-1))
Term
d/dx arcsecx
 Definition
1/(xsqrt(x2-1))
Term
d/dx arccotx
 Definition
-1/(1+x2)
Term
tan2x+1=
 Definition
sec2x
Term
cot2x+1=
 Definition
csc2x
Term
∫secxdx
 Definition
ln|secx+tanx|
Term
∫tanxdx
 Definition
ln|secx|
Term
∫cotxdx
 Definition
ln|sinx|
Term
∫cscxdx
 Definition
ln|cscx-cotx|
Term
∫1/(x2+a2) dx
 Definition
1/a tan-1(x/a)
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