Calculus 2 - Trig Identities

Studied by 10 people
4.0(2)
get a hint
hint

dy/dx sin x

1 / 31

Tags and Description

kseniya and i are besties forever

32 Terms

1

dy/dx sin x

= cos x

New cards
2

dy/dx cos x

= -sin x

New cards
3

dy/dx tan x

= sec^2(x)

New cards
4

dy/dx cot x

= -csc^2(x)

New cards
5

dy/dx sec x

= sec x tan x

New cards
6

dy/dx csc x

= csc x cot x

New cards
7

∫ sin x dx

= -cos x + C

New cards
8

∫ cos x dx

= sin x + C

New cards
9

∫ tan x dx

= ln |sec x| + C

New cards
10

∫ cot x dx

= ln |sin x| + C

New cards
11

∫ sec x dx

= ln |sec x + tan x| + C

New cards
12

∫ csc x dx

= ln |csc x + cot x| + C

New cards
13

∫ 1/x dx

= ln |x| + C

New cards
14

cos(2x)

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

New cards
15

cos^2(x) + sin^2(x)

= 1

New cards
16

sin (2x)

= 2 sin x cos x

New cards
17

cos^2(x)

= 1 - sin^2(x)

New cards
18

cos^2(x)

= (1+cos2x) / 2

New cards
19

sin^2(x)

= 1 - cos^2(x)

New cards
20

sin^2(x)

= 1 - cos (2x) / 2

New cards
21

∫ e^kx dx

= e^kx / k + C

New cards
22

∫ sec^2(x)

= tan x + C

New cards
23

∫ csc^2(x) dx

= -cot x + C

New cards
24

∫ csc x cot x dx

= -csc x + C

New cards
25

1 + cot^2(x)

= csc^2(x)

New cards
26

tan^2(x) + 1

= sec^2(x)

New cards
27

What trig substitution does √(a^2 - x^2) belong with ? What is it's identity?

x = a sin θ; 1 - sin^2(x) = cos^2(x)

New cards
28

What trig substitution does √(a^2 + x^2) belong with ? What is it's identity?

x = a tan θ; 1 + tan^2(x) = sec^2(x)

New cards
29

What trig substitution does √(x^2 - a^2) belong with ? What is it's identity?

x = a sec θ; sec^2(x) - 1 = tan^2(x)

New cards
30

How do you tell if a function is convergent?

The answer to the integral is a finite number.

New cards
31

How can you tell if a function is divergent?

The answer to the integral is an infinite number (infinity).

New cards
32

What is the integration by parts formula?

∫u dv = uv - ∫v du

New cards

Explore top notes

Note
Studied by 12 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 94 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 4 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 8 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 79 people
Updated ... ago
5.0 Stars(3)
Note
Studied by 5 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 596 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 117897 people
Updated ... ago
4.9 Stars(594)

Explore top flashcards

Flashcard20 terms
Studied by 21 people
Updated ... ago
4.4 Stars(15)
Flashcard21 terms
Studied by 54 people
Updated ... ago
4.5 Stars(2)
Flashcard44 terms
Studied by 15 people
Updated ... ago
5.0 Stars(1)
Flashcard155 terms
Studied by 5 people
Updated ... ago
5.0 Stars(2)
Flashcard31 terms
Studied by 26 people
Updated ... ago
5.0 Stars(1)
Flashcard40 terms
Studied by 20 people
Updated ... ago
5.0 Stars(1)
Flashcard20 terms
Studied by 8 people
Updated ... ago
5.0 Stars(2)
Flashcard23 terms
Studied by 1846 people
Updated ... ago
4.7 Stars(20)