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math 100
integrals
13
Mathematics
Undergraduate 1
09/27/2019
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Term
∫ sec2x dx
 Definition
tan x + C
Term
∫sec x tan x dx
 Definition
sec x + C
Term
∫csc x cot x dx
Definition
- csc x + C
Term
∫csc2 x dx
 Definition
-cot x + C
Term

    integral of       1    dx

                      √1-x2

 Definition
arcsin x + C
Term

  integral of      - 1    dx

                         √1-x2

 Definition
arccos x + C
Term

  integral of       1    dx

                           1+x2

 Definition
arctan x + C
Term
∫ tan x dx
 Definition

ln  Ι sec (x) Ι+ C

 

( you can also find this by calling tan x

sin x/cos x and using u substitution)
Term
∫ tan2 x dx
 Definition

=∫ sec2 x - 1 dx

=tanx - x + c
Term
∫sec x dx
 Definition
ln Ι sec(x) + tan(x) Ι + c
Term

power reducer for

 

cos2 x =

 Definition

 (1 + cos 2x)

2
Term

power reducer for

 

sin2 x =

 Definition

 (1 - cos 2x)

2
Term
sin 2x =
 Definition
2 sin x cos x
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