Home
Explore
Exams
Search for anything
Login
Get started
Home
Math
Calculus
calc 2
5.0
(1)
Rate it
Studied by 20 people
Knowt Play
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Card Sorting
1/44
Earn XP
Description and Tags
Calculus
Add tags
Study Analytics
All Modes
Learn
Practice Test
Matching
Spaced Repetition
Name
Mastery
Learn
Test
Matching
Spaced
No study sessions yet.
45 Terms
View all (45)
Star these 45
1
New cards
∫0dx =
C
2
New cards
∫\[g(x) + h(x)\]dx =
G(x) + H(x) + C
3
New cards
∫xⁿdx =
1/n+1 \* x^(n+1) + C
4
New cards
∫e^xdx =
e^x + C
5
New cards
∫sin(x)dx =
\-cos(x) + C
6
New cards
∫sec²(x)dx =
tan(x) + C
7
New cards
∫sec(x)tan(x)dx =
sec(x) + C
8
New cards
∫⅟√(1-x²)dx =
arcsin(x) + C
9
New cards
∫kdx =
kx + C
10
New cards
∫kf(x)dx =
kF(x) + C
11
New cards
∫1/x dx =
ln(abs(x)) + C
12
New cards
∫a^x dx =
a^x / lna + C
13
New cards
∫cos(x)dx =
sin(x) + C
14
New cards
∫csc²(x)dx =
\-cot(x) + C
15
New cards
∫csc(x)cot(x)dx =
\-csc(x) + C
16
New cards
∫⅟(1+x²) dx =
arctan(x) + C
17
New cards
∫tan(x)dx =
ln(abs(sec(x))) + C
18
New cards
∫cot(x)dx =
ln(abs(sin(x))) + C
19
New cards
∫sec(x)dx =
ln(abs(secx + tanx)) + C
20
New cards
∫csc(x)dx =
ln(abs(cscx - cotx)) + C
21
New cards
∫ln(x)dx =
xlnx - x + C
22
New cards
substitution for √a²-x²
x = a\*sin(theta)
23
New cards
substitution for √a²+x²
x = a\*tan(theta)
24
New cards
substitution for √x²-a²
x = a\*sec(theta)
25
New cards
1-sin²x =
cos^2 (x)
26
New cards
1 + tan²x =
sec^2 (x)
27
New cards
sec²x - 1 =
tan^2 (x)
28
New cards
√a²+x² becomes
a\*sec(theta)
29
New cards
√x²-a² becomes
a\*tan(theta)
30
New cards
√a²-x² becomes
a\*cos(theta)
31
New cards
Integration by parts
integral(udv) = u\*v - integral(v\*du)
32
New cards
LIATE
Logarithm, Inverse trig, Algebraic, Trigonometric, Exponential
33
New cards
sin(2x) =
2sin(x)cos(x)
34
New cards
sin²x (power reduction) =
(1 - cos(2x))/2
35
New cards
cos²x (power reduction) =
(1 + cos(2x))/2
36
New cards
sinAcosB =
1/2(sin(A+B) + sin(A-B))
37
New cards
sinAsinB =
1/2(cos(A-B) - cos(A+B))
38
New cards
cosAcosB = \`
1/2(cos(A-B) + cos(A+B))
39
New cards
∫⅟(a²+x²) dx =
1/a \* arctan(x/a) + C
40
New cards
average value of f on \[a, b\]
1/(b-a) \* integral from a to b of \[f(x)dx\]
41
New cards
Arc length L of f(x) on \[a, b\]
L = ∫\[sqrt(1 + (dy/dx)^2) dx\] on \[a,b\]
42
New cards
Surface area in terms of x across the x-axis
SA = ∫\[2πf(x) \* sqrt(1 + (dy/dx)^2) dx\] on \[a,b\]
43
New cards
Surface area in terms of x across the y-axis
SA = integral from a to b of \[2 pi x \* sqrt(1 + (dy/dx)^2) dx\]
44
New cards
Surface area in terms of y across the x-axis
SA = integral from a to b of \[2 pi y \* sqrt(1 + (dx/dy)^2) dy\]
45
New cards
Surface area in terms of y across the y-axis
SA = integral from a to b of \[2 pi g(y) \* sqrt(1 + (dx/dy)^2) dy\]
Explore top notes
Introduction to Cells and Organelles
Updated 1052d ago
Note
Preview
Atomic Structure & Chemical Bonds
Updated 88d ago
Note
Preview
Most cells synthesize ATP via electron transport
Updated 979d ago
Note
Preview
Chapter 2: Atoms, Molecules, and Ions
Updated 284d ago
Note
Preview
Physical Science - Chapter 16
Updated 819d ago
Note
Preview
Notes of The Great Gatsby Intro
Updated 830d ago
Note
Preview
Chapter 2: The Periodic Table
Updated 877d ago
Note
Preview
Biomed Unit 3 test
Updated 844d ago
Note
Preview
Explore top flashcards
Myers Psychology for AP - Unit 3
Updated 1041d ago
Flashcards (84)
Preview
Thẻ ghi nhớ: Friend Plus - Vocab unit 1 - Grade 7 | Quizlet
Updated 310d ago
Flashcards (59)
Preview
Science Semester 2 Exam
Updated 286d ago
Flashcards (115)
Preview
10 Codes
Updated 643d ago
Flashcards (28)
Preview
Polyatomic Ions, Molecules, and Acids
Updated 266d ago
Flashcards (41)
Preview
Business A level Theme 1
Updated 921d ago
Flashcards (183)
Preview
bio final exam
Updated 469d ago
Flashcards (170)
Preview
Sp III - La Salud
Updated 859d ago
Flashcards (56)
Preview