1 of 62
Term
∫sec^2udu
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cos^2x-sin^2x s= ∫a to b√1+[f'(x)]^2 dx
dp/dt=k(l-p) tanu+c
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2 of 62
Term
d/dx(cscu)
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-csc^2u (-1/√1-u^2)du/dx
(-cscu)(cotu) -sinu
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3 of 62
Term
d/dx(tanu)
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tanu secu sec^0u
-csc^2u sec^2u
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, 4 of 62
Definition
1. lim x→c f(x) exists
2. f(c) exists
3. lim x→c f(x) = f(c)
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Definition of Derivative Length of Arc for functions
Definition of Continuity Maclaurin Series: sinx
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5 of 62
Term
cos (2x)
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2sin^2x-1 1-2sin^2x
2cos^2x-1 1-2cos^2x
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, 6 of 62
Term
Maclaurin Series: sinx
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(first term 1) x^n/n! (first term 1) (-1)^n x^2n/(2n)!
(first term x) (-1)^n
f'(x)= lim h->0 f(x+h)-f(x)/h
x^2n+1/(2n+1)!
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7 of 62
Term
cos2x
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2cos^2x cosu
1-2sin^2x cos^2x-sin^2x
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Term
∫sec^2udu
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cos^2x-sin^2x s= ∫a to b√1+[f'(x)]^2 dx
dp/dt=k(l-p) tanu+c
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2 of 62
Term
d/dx(cscu)
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-csc^2u (-1/√1-u^2)du/dx
(-cscu)(cotu) -sinu
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3 of 62
Term
d/dx(tanu)
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tanu secu sec^0u
-csc^2u sec^2u
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, 4 of 62
Definition
1. lim x→c f(x) exists
2. f(c) exists
3. lim x→c f(x) = f(c)
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Definition of Derivative Length of Arc for functions
Definition of Continuity Maclaurin Series: sinx
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5 of 62
Term
cos (2x)
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2sin^2x-1 1-2sin^2x
2cos^2x-1 1-2cos^2x
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, 6 of 62
Term
Maclaurin Series: sinx
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(first term 1) x^n/n! (first term 1) (-1)^n x^2n/(2n)!
(first term x) (-1)^n
f'(x)= lim h->0 f(x+h)-f(x)/h
x^2n+1/(2n+1)!
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7 of 62
Term
cos2x
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2cos^2x cosu
1-2sin^2x cos^2x-sin^2x
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