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ID Subject Topic Content Preview Date Added Actions
61 Biology 2 yes yes Feb 13, 2026
60 Basic Calculus 3 Types of Riemann Sums Midpoint Riemann SumIn general, if [a, b] is subdivided into n intervals with partition points {x0,... Feb 05, 2026
59 Basic Calculus 3 Types of Riemann Sums Midpoint Riemann SumMₙ = nth midpoint Riemann sum   the sum of the areas of the recta... Feb 05, 2026
58 Basic Calculus 3 Types of Riemann Sums Right Riemann Sum Rₙ = nth right Riemann sum  the sum of the areas of the rectangles wh... Feb 05, 2026
57 Basic Calculus 3 Types of Riemann Sums Left Riemann SumLₙ = nth left Riemann sum  the sum of the areas of the rectangles whose heig... Feb 05, 2026
56 Basic Calculus Approximation of Area Using Riemann Sums Assume that the interval [a, b] is already divided into n subintervals. We then cover the region w... Feb 05, 2026
55 Basic Calculus Approximation of Area Using Riemann Sums Feb 05, 2026
54 Basic Calculus Approximation of Area Using Riemann Sums - Points that mark the subintervals (vertices of the rectangles).- The collection of points Pn = {x0... Feb 05, 2026
53 Basic Calculus Approximation of Area Using Riemann Sums Riemann Sums - an approximation of a region's area, obtained by adding up the areas of multiple sim... Feb 05, 2026
52 Basic Calculus Antidifferentiation by U-Substitution Example 6 :  Feb 05, 2026
51 Basic Calculus Antidifferentiation by U-Substitution Example 5 : Feb 05, 2026
50 Basic Calculus Antidifferentiation by U-Substitution Example 4 : Feb 05, 2026
49 Basic Calculus Antidifferentiation by U-Substitution Example 3 :  Feb 05, 2026
48 Basic Calculus Antidifferentiation by U-Substitution Example 2 :  Feb 05, 2026
47 Basic Calculus Antidifferentiation by U-Substitution Antidifferentiation by Substitution        ·    &nbsp... Feb 05, 2026
46 Basic Calculus Antidifferentiation Theorems 8-11 Theorem 8 :  ∫sec2xdx = tan x + CTheorem 9 :  ∫csc2xdx = -cot x + CTheorem 10 : �... Feb 05, 2026
45 Basic Calculus Antidifferentiation Theorem 7 Theorem 7 : ∫cosx dx = sinx + CExample : Feb 05, 2026
44 Basic Calculus Antidifferentiation Theorem 6 Theorem 6 : ∫sinx dx = -cosx + C Feb 05, 2026
43 Basic Calculus Antidifferentiation Theorem 5 Theorem 5:  If f1, f2, ..., fn are defined on the same interval, ∫[c1f1(x) + c2f2(x) + ... Feb 05, 2026
42 Basic Calculus Antidifferentiation Theorem 4 Theorem 4 : ∫[f(x) ± g(x)]dx = ∫ f(x)dx ± ∫ f(x)dx Feb 05, 2026
41 Basic Calculus Antidifferentiation Theorem 3 Theorem 3 :  x^n dx = (x^(n+1)) / (n+1) + C where n ≠ -1 Feb 05, 2026
38 Basic Calculus Antidifferentiation Theorems 1-2 Theorem 1 : ∫dx = x + cTheorem 2 : ∫ a f(x)dx = a∫ f(x)dx  where a is a constan... Feb 05, 2026
37 Basic Calculus Antidifferentiation       Antidifferentiation           -   The i... Feb 05, 2026
36 Basic Calculus Antidifferentiation A function F is an antiderivative of the function f on an interval l if F’(x) = f(x) for every val... Feb 05, 2026
27 Biology 2 Plant Nutrition Carbon dioxide and Water are neededby plants to produce glucose and oxygen. Carbon, Hydrogen, a... Feb 02, 2026
26 Biology 2 PLANTS: Reproduction and Development Plants Reproduction – In plants, every physical structure and physiological process is designed t... Feb 02, 2026
25 Biology 2 ANIMALS: Reproduction and Development Growth - a way to generate the materials for reproduction.  Development - a process that crea... Feb 02, 2026
24 Biology 2 Reproduction and Development Development - process that creates growth, progress, positive change or the addition of physical, ... Feb 02, 2026
ID: 61 Active
yes
Biology 2
yes...
Feb 13, 2026
ID: 60 Active
3 Types of Riemann Sums
Basic Calculus
Midpoint Riemann SumIn general, if [a, b] is subdivided into n intervals with partition points {x0, x1, . . . , xn}, then the nth midpoint Riemann s...
Feb 05, 2026
ID: 59 Active
3 Types of Riemann Sums
Basic Calculus
Midpoint Riemann SumMₙ = nth midpoint Riemann sum   the sum of the areas of the rectangles whose heights are the functional values of t...
Feb 05, 2026
ID: 58 Active
3 Types of Riemann Sums
Basic Calculus
Right Riemann Sum Rₙ = nth right Riemann sum  the sum of the areas of the rectangles whose heights are the functional values of the right...
Feb 05, 2026
ID: 57 Active
3 Types of Riemann Sums
Basic Calculus
Left Riemann SumLₙ = nth left Riemann sum  the sum of the areas of the rectangles whose heights are the functional values of the left endpoint...
Feb 05, 2026
ID: 56 Active
Approximation of Area Using Riemann Sums
Basic Calculus
Assume that the interval [a, b] is already divided into n subintervals. We then cover the region with rectangles whose bases correspond to a subinte...
Feb 05, 2026
ID: 55 Active
Approximation of Area Using Riemann Sums
Basic Calculus
...
Feb 05, 2026
ID: 54 Active
Approximation of Area Using Riemann Sums
Basic Calculus
- Points that mark the subintervals (vertices of the rectangles).- The collection of points Pn = {x0, x1, ..., xn} is a set of points of [a, b].Note: ...
Feb 05, 2026
ID: 53 Active
Approximation of Area Using Riemann Sums
Basic Calculus
Riemann Sums - an approximation of a region's area, obtained by adding up the areas of multiple simplified slices of the region. It is applied in ca...
Feb 05, 2026
ID: 52 Active
Antidifferentiation by U-Substitution
Basic Calculus
Example 6 : ...
Feb 05, 2026
ID: 51 Active
Antidifferentiation by U-Substitution
Basic Calculus
Example 5 :...
Feb 05, 2026
ID: 50 Active
Antidifferentiation by U-Substitution
Basic Calculus
Example 4 :...
Feb 05, 2026
ID: 49 Active
Antidifferentiation by U-Substitution
Basic Calculus
Example 3 : ...
Feb 05, 2026
ID: 48 Active
Antidifferentiation by U-Substitution
Basic Calculus
Example 2 : ...
Feb 05, 2026
ID: 47 Active
Antidifferentiation by U-Substitution
Basic Calculus
Antidifferentiation by Substitution        ·            - One of the antidiffe...
Feb 05, 2026
ID: 46 Active
Antidifferentiation Theorems 8-11
Basic Calculus
Theorem 8 :  ∫sec2xdx = tan x + CTheorem 9 :  ∫csc2xdx = -cot x + CTheorem 10 : ∫ sec x tan x dx = sec x + CTheorem 11 : ∫...
Feb 05, 2026
ID: 45 Active
Antidifferentiation Theorem 7
Basic Calculus
Theorem 7 : ∫cosx dx = sinx + CExample :...
Feb 05, 2026
ID: 44 Active
Antidifferentiation Theorem 6
Basic Calculus
Theorem 6 : ∫sinx dx = -cosx + C...
Feb 05, 2026
ID: 43 Active
Antidifferentiation Theorem 5
Basic Calculus
Theorem 5:  If f1, f2, ..., fn are defined on the same interval, ∫[c1f1(x) + c2f2(x) + ... + cnfn(x)] dx= c1 ∫ f(x)1 dx + c2&...
Feb 05, 2026
ID: 42 Active
Antidifferentiation Theorem 4
Basic Calculus
Theorem 4 : ∫[f(x) ± g(x)]dx = ∫ f(x)dx ± ∫ f(x)dx...
Feb 05, 2026
ID: 41 Active
Antidifferentiation Theorem 3
Basic Calculus
Theorem 3 :  x^n dx = (x^(n+1)) / (n+1) + C where n ≠ -1...
Feb 05, 2026
ID: 38 Active
Antidifferentiation Theorems 1-2
Basic Calculus
Theorem 1 : ∫dx = x + cTheorem 2 : ∫ a f(x)dx = a∫ f(x)dx  where a is a constant...
Feb 05, 2026
ID: 37 Active
Antidifferentiation
Basic Calculus
      Antidifferentiation           -   The inverse operation of differentiation    &...
Feb 05, 2026
ID: 36 Active
Antidifferentiation
Basic Calculus
A function F is an antiderivative of the function f on an interval l if F’(x) = f(x) for every value of x in l....
Feb 05, 2026
ID: 27 Active
Plant Nutrition
Biology 2
Carbon dioxide and Water are neededby plants to produce glucose and oxygen. Carbon, Hydrogen, and Oxygen are theelements composing glucose as apr...
Feb 02, 2026
ID: 26 Active
PLANTS: Reproduction and Development
Biology 2
Plants Reproduction – In plants, every physical structure and physiological process is designed to maximize the chances of producing offspring. Re...
Feb 02, 2026
ID: 25 Active
ANIMALS: Reproduction and Development
Biology 2
Growth - a way to generate the materials for reproduction.  Development - a process that creates growth, brings in progress and positive change...
Feb 02, 2026
ID: 24 Active
Reproduction and Development
Biology 2
Development - process that creates growth, progress, positive change or the addition of physical, economic, environmental, social and demographic co...
Feb 02, 2026