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Calculus-Trig ID's
Trig identities and common integrals
20
Mathematics
Undergraduate 1
12/09/2010
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Cards

Term
∫sinkx
 Definition
d/dx -1/k coskx + c
Term
∫coskx
 Definition
d/dx 1/k sinkx + c
Term
∫sec^2(kx)
 Definition
d/dx 1/k tankx + c
Term
∫csc^2(kx)
 Definition
d/dx -1/k cotkx + c
Term
∫sec(kx)tan(kx)
 Definition
d/dx 1/k seckx + c
Term
∫csc(kx)cot(kx)
 Definition
d/dx -1/k csckx + c
Term
∫1/x
 Definition
d/dx ln|x| + c
Term
∫1/(1-k^2x^2)^1/2
 Definition
d/dx 1/k sin^−1(kx) + c
Term
∫1/(1+k^2x^2)
 Definition
d/dx 1/k tan^−1(kx) + c
Term
∫1/(x(k^2x^2-1)^1/2)
 Definition
d/dx 1/k sec^−1(kx) + c
Term
∫a^(kx)
 Definition
d/dx (a^(kx)/kln|a|) + c
Term
∫tanx
 Definition
d/dx -ln|cosx| + c
OR
d/dx ln|secx| + c
Term
∫cotx
 Definition
d/dx ln|sinx| + c
OR
d/dx -ln|cscx| + c
Term
sin^2(x) + cos^2(x)
 Definition
1
Term

sec^2(x)

 

=?

 Definition

1 + tan^2(x)

 

=?
Term
csc^2(x)
 Definition
1 + cot^2(x)
Term
sin(2x)
 Definition
2sin(x)cos(x)
Term
cos(2x)
 Definition
cos^2(x)-sin^2(x)
Term
cos^2(x)
 Definition
(1 + cos(2x))/2
Term
sin^2(x)
 Definition
(1 - cos(2x))/2
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