# Shared Flashcard Set

## Details

Calculus II
functions to memorize
23
Mathematics
08/30/2006

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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