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Calculus: derivatives and antiderivatives
Ch.6.1 and 6.2
23
Mathematics
Undergraduate 1
01/23/2011

Additional Mathematics Flashcards

 


 

Cards

Term
anti d of: sin aX dx
Definition
-cosX + C
Term
anti D of: cos X dx
Definition
sin X dx
Term
anti D (Integral) of tan X
Definition
-ln lcos xl + C = ln lsec xl +C
Term

Ln 1 = ?

Ln e = ?

ln e^x = ?

Definition

0

1

x

Term
(tan x)^2 =
Definition
(sec x)^2 - 1
Term
anti D (Integral) of (tan x)^2
Definition

(tan x) ^2 = [(sec x)^2 - 1]

 

so Integral of [(sec x)^2 - 1]=

 

tanx - x

Term

e^0=

 

Definition
1
Term
anti D (Integral) of sec x dx =
Definition
ln lsec x + tan xl + C
Term
sin 0 =
Definition
0
Term

d  cos^-1 x

_________________

 

dx

 

 

 

=

Definition

arc cos x

 

which = -1/(1-x^2)^1/2

 

-1

_________

 

(1-x^2)^1/2

Term

d arcsin x

________________

 

dx

 

(derivative of... arc sin x is)

Definition

1

____________

 

(1-u^2)^1/2

Term

d arctan u

__________________

 

du

 

d (tan u)^-1

________________

 

du

Definition

1

           ____________   du/dx

 

(1 + u^2)

Term
d' of (sec x)^-1=
Definition

1

_____________

 

x [(x^2 - 1)^1/2]

Term
half angle formula
Definition

(sin x)^2 = (1/2) (1- cos 2x)

 

(cos x)^2 = (1/2) (1+ cos 2x)

Term
cot x
Definition
1/tan x
Term
(tan x)^2 +1
Definition
(sec x)^2
Term
(cot x)^2 +1=
Definition
(csc x)^2
Term
cos (-x) =
Definition
cos (x)
Term
sin (-x) =
Definition
-sin x
Term
d' cot x
Definition
-csc x
Term
d' sec x
Definition
sec x tan x
Term
d' csc x
Definition
-csc x cot x
Term
integral
Definition
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