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Calculus II
functions to memorize
23
Mathematics
Undergraduate 1
08/30/2006
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Term
the derivative of sin(u)
 Definition
cos(u)du
Term
the derivative of cos(u)
 Definition
-sin(u)du
Term
the derivative of tan(u)
 Definition
sec^2(u)du
Term
the derivative of sec(u)
 Definition
sec(u)tan(u)du
Term
the derivative of cot(u)
 Definition
-csc^2(u)du
Term
the derivative of csc(u)
 Definition
-csc(u)cot(u)du
Term
the integral of sin(u)du
 Definition
-cos(u)+c
Term
the integral of cos(u)du
 Definition
sin(u)+c
Term
the integral of sec^2(u)du
 Definition
tan(u)+c
Term
the integral of sec(u)tan(u)du
 Definition
sec(u)+c
Term
the integral of csc^2(u)du
 Definition
-cot(u)+c
Term
the integral of csc(u)cot(u)du
 Definition
-csc(u)+c
Term
the integral of 1/u du
 Definition
ln|u| + c
Term
The integral of e^u du
 Definition
e^u + c
Term
the integral of tan(u)du
 Definition
-ln|cos(u)| + c
Term
the integral of du/(SQRT(a^2 - u^2))
 Definition
arcsin(u/a) + c
Term
the integral of du/(a^2 + u^2)
 Definition
(1/a)arctan(u/a) + c
Term
the derivative of sinh(u)
 Definition
cosh(u)du
Term
the derivative of cosh(u)
 Definition
sinh(u)du
Term
the derivative of tanh(u)
 Definition
sech^2(u)du
Term
the integral of sinh(u)du
 Definition
cosh(u) + c
Term
the integral of cosh(u)du
 Definition
sinh(u) + c
Term
the integral of sec^2(u)du
 Definition
tanh(u) + c
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