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YT 9 minutes 57 seconds
Eddie Woo
Integration & Logs
YT 5 minutes 21 seconds
Eddie Woo
Integrating Basic & Reciprocal Trigonometric Functions
YT 5 minutes 49 seconds
Eddie Woo
Integrating Squared Trigonometric Functions
YT 4 minutes 55 seconds
Eddie Woo
Calculating Integrals by Differentiation
YT 3 minutes 30 seconds
Eddie Woo
Integrating (ln x)/x²
YT 3 minutes 49 seconds
Eddie Woo
Integrating x cos(x)
YT 10 minutes 53 seconds
Eddie Woo
Anti-Differentiation: Polynomial Functions
YT 11 minutes 25 seconds
Eddie Woo
Introduction to Primitives
YT 6 minutes 27 seconds
Eddie Woo
Primitive Functions: Evaluating the Constant
YT 6 minutes 23 seconds
Eddie Woo
Reverse Chain Rule for Polynomials: Basic Examples
YT 11 minutes 14 seconds
Eddie Woo
Reverse Chain Rule for Polynomials: Be Careful!
YT 3 minutes 11 seconds
Eddie Woo
Reverse Chain Rule for Polynomials: General Rules
YT 9 minutes 38 seconds
Eddie Woo
Primitives of Trigonometric Functions
YT 14 minutes 28 seconds
Eddie Woo
Primitives of Exponential Functions
YT 6 minutes 56 seconds
Eddie Woo
Reverse Chain Rule for Trigonometric Functions
YT 11 minutes
Eddie Woo
Reverse Chain Rule for Rational Functions
YT 11 minutes 59 seconds
Eddie Woo
The Story of Integration (1 of 4): Areas Under Curves
YT 10 minutes 38 seconds
Eddie Woo
The Story of Integration (2 of 4): Riemann's Integral
YT 8 minutes 37 seconds
Eddie Woo
The Story of Integration (3 of 4): The Relation to Derivatives
YT 5 minutes 10 seconds
Eddie Woo
The Story of Integration (4 of 4): Forming & Evaluating an Integral
YT 14 minutes 31 seconds
Eddie Woo
Definite & Indefinite Integrals
YT 11 minutes 27 seconds
Eddie Woo
Integration & Circle Formulas
YT 6 minutes 13 seconds
Eddie Woo
Relating Integrals & Areas
YT 6 minutes 14 seconds
Eddie Woo
Integration & Composite Areas
YT 5 minutes 51 seconds
Eddie Woo
Properties of Definite Integrals: Constant Co-efficients
YT 10 minutes 44 seconds
Eddie Woo
Properties of Definite Integrals: Even Functions
YT 8 minutes 27 seconds
Eddie Woo
Symmetrical Areas
YT 8 minutes 44 seconds
Eddie Woo
Trapezoidal Rule Example
YT 8 minutes 56 seconds
Eddie Woo
Trapezoidal Rule: Basic Form
YT 8 minutes 10 seconds
Eddie Woo
Trapezoidal Rule: Multiple Sub-Intervals
YT 13 minutes 31 seconds
Eddie Woo
Calculating Integrals Indirectly
YT 8 minutes 30 seconds
Eddie Woo
Tricky Trig/Integration Question (1 of 3)
YT 6 minutes 8 seconds
Eddie Woo
Tricky Trig/Integration Question (2 of 3)
YT 11 minutes 37 seconds
Eddie Woo
Tricky Trig/Integration Question (3 of 3)
YT 4 minutes 47 seconds
Eddie Woo
Another Tricky Trig/Integral Question
YT 22 minutes 3 seconds
Eddie Woo
Separating Rational Functions for Integration
YT 7 minutes 12 seconds
Eddie Woo
Integrating Exponential Functions
YT 2 minutes 36 seconds
Eddie Woo
Integrating Trigonometric Functions (1 of 4): The Basics
YT 6 minutes 47 seconds
Eddie Woo
Integrating Trigonometric Functions (2 of 4): Involving Chain Rule
YT 5 minutes 58 seconds
Eddie Woo
Integrating Trigonometric Functions (3 of 4): Involving Identities
YT 1 minute 55 seconds
Eddie Woo
Integrating Trigonometric Functions (4 of 4): Involving Symmetrical Areas
YT 10 minutes 18 seconds
Eddie Woo
Areas Between Curves (example question)
YT 5 minutes 17 seconds
Eddie Woo
Integrating 2^(lnx)
YT 5 minutes 40 seconds
Eddie Woo
Area Enclosed Between Trigonometric Graphs
YT 6 minutes 2 seconds
Eddie Woo
Volume Involving Trigonometric Functions & Identities
YT 8 minutes 19 seconds
Eddie Woo
Interesting Trig/Calculus Question (1 of 2: Tangents & Areas)
YT 8 minutes 46 seconds
Eddie Woo
Interesting Trig/Calculus Question (2 of 2: Approximating π with the Squeeze Law)
YT 9 minutes 4 seconds
Eddie Woo
Properties of Definite Integrals (Establishing various properties of integrals)
YT 12 minutes 13 seconds
Eddie Woo
Primitive Functions (1 of 4: Introduction and rules of Anti-Differentiation)
YT 10 minutes 17 seconds
Eddie Woo
Primitive Functions (2 of 4: Importance of the Constant Term in Anti-Differentiation)
YT 5 minutes 54 seconds
Eddie Woo
Primitive Functions (3 of 4: Limitations to the Anti-Differentiation Formula)
YT 11 minutes 56 seconds
Eddie Woo
Primitive Functions (4 of 4: Applications of Anti-Differentiation)
YT 6 minutes 35 seconds
Eddie Woo
Area under Curves (2 of 4: Using Series to generalise Riemann's estimation for area under a curve)
YT 9 minutes 32 seconds
Eddie Woo
Areas under Curves (1 of 4: Using Rectangles with variable widths to estimate area under curves)
YT 8 minutes 21 seconds
Eddie Woo
Area under Curves (3 of 4: Where do the components of Riemann's integral come from?)
YT 5 minutes 42 seconds
Eddie Woo
Area under Curves (4 of 4: Testing Riemann's Integral for areas under simpler relationships)
YT 11 minutes 4 seconds
Eddie Woo
Area under Curves (Continued) (1 of 2: Relationship between Differentiation and Integration)
YT 10 minutes 52 seconds
Eddie Woo
Area under Curves (Continued) (2 of 2: Why definite integrals do not take into account the constant)
YT 10 minutes 16 seconds
Eddie Woo
Integrals & Area (1 of 2: Finding the limitations of Integrals)
YT 8 minutes 23 seconds
Eddie Woo
Indefinite Integrals (1 of 2: Making Connections with areas and volumes through integrals)
YT 11 minutes 47 seconds
Eddie Woo
Integrals & Area (2 of 2: Finding Properties of Integrals with Odd and Even Integrands)
YT 11 minutes 18 seconds
Eddie Woo
Composite Areas (1 of 3: Answering Questions about Area using Integrals)
YT 10 minutes 25 seconds
Eddie Woo
Indefinite Integrals (2 of 2: Finding the connection between Volumes, Areas and Corner Lengths)
YT 5 minutes 31 seconds
Eddie Woo
Composite Areas (2 of 3: Finding the Upper and Lower Bounds to solve the question of area)
YT 10 minutes 16 seconds
Eddie Woo
Composite Areas (3 of 3: Using dy instead of dx to simplify the working to solve the same problem)
YT 8 minutes 34 seconds
Eddie Woo
Areas Involving Multiple Curves (2 of 4: Finding a general formula to solve for area between curves)
YT 11 minutes 37 seconds
Eddie Woo
Areas Involving Multiple Curves (1 of 4: Separating the area into two components to solve)
YT 7 minutes 46 seconds
Eddie Woo
Areas Involving Multiple Curves (3 of 4: Finding Similarities between translated areas)
YT 6 minutes 24 seconds
Eddie Woo
Areas Involving Multiple Curves (4 of 4: Generalising for a Formula to solve area between curves)
YT 5 minutes 37 seconds
Eddie Woo
Area Between Two Curves (Solving a 'curve ball' styled question)
YT 9 minutes 14 seconds
Eddie Woo
Reverse Chain Rule (i.e. Integration via Substitution)
YT 8 minutes 15 seconds
Eddie Woo
Integrating Exponential Functions (1 of 3: Strategies to find integrals of exponential functions)
YT 7 minutes 42 seconds
Eddie Woo
Integrating Exponential Functions (2 of 3: Finding the area under exponential curves)
YT 10 minutes 11 seconds
Eddie Woo
Integrating Exponential Functions (3 of 3: Seeking parallels with Areas of Logarthmic Functions)
YT 7 minutes 34 seconds
Eddie Woo
Differentiation and Integration of Exponential Functions (Example that combines both)
YT 7 minutes 56 seconds
Eddie Woo
Integration of Logrithmic Functions (Purpose of the Absolute values in the Integral)
YT 7 minutes
Eddie Woo
Properties of Definite Integrals (Outline of the Reverse, Dummy and Symmetry properties)
YT 12 minutes 36 seconds
Eddie Woo
Properties of Definite Integrals (1 of 6: "Round Off" Property of definite integrals)
YT 9 minutes 14 seconds
Eddie Woo
Properties of Definite Integrals (2 of 6: Outlining the 'Reflective' Property)
YT 10 minutes 44 seconds
Eddie Woo
Properties of Definite Integrals (3 of 6: Using the Reflective Property to solve an integral)
YT 7 minutes 31 seconds
Eddie Woo
Properties of Definite Integrals (4 of 6: Outlining the Piecewise and "Limit" Properties)
YT 5 minutes 55 seconds
Eddie Woo
Properties of Definite Integrals (5 of 6: Using piecewise and limit properties for famous result)
YT 12 minutes 28 seconds
Eddie Woo
Extension I Quiz (Graphing, Area between curves, Differentiation and Induction)
YT 5 minutes 48 seconds
Eddie Woo
Rates of Change: Integration (1 of 4: Understanding information from question)
YT 8 minutes 20 seconds
Eddie Woo
Rates of Change: Integration (2 of 4: Integrating to find v(t) and using it to find Initial Volume)
YT 6 minutes 7 seconds
Eddie Woo
Rates of Change: Integration (3 of 4: Using the Volume Function to find time of certain events)
YT 8 minutes 6 seconds
Eddie Woo
Rates of Change: Integration (4 of 4: Finding time to release specific amount of water)
YT 5 minutes 2 seconds
Eddie Woo
Integrals & Area (Finding the value of the area under an unknown curve)
YT 12 minutes 15 seconds
Eddie Woo
Introduction to Primitive Functions
YT 11 minutes 14 seconds
Eddie Woo
Introducing Integration (1 of 4: Considering displacement vs. time)
YT 6 minutes 38 seconds
Eddie Woo
Introducing Integration (2 of 4: Considering velocity vs. time)
YT 12 minutes 50 seconds
Eddie Woo
Introducing Integration (3 of 4: Notation)
YT 9 minutes 24 seconds
Eddie Woo
Introducing Integration (4 of 4: Concrete examples)
YT 9 minutes 44 seconds
Eddie Woo
Understanding Integration (1 of 2: Different axes, methods of evaluating definite integrals)
YT 12 minutes 22 seconds
Eddie Woo
Understanding Integration (2 of 2: Signed area)
YT 9 minutes 33 seconds
Eddie Woo
Properties of Definite Integrals (1 of 4: Sign & symmetry)
YT 7 minutes 44 seconds
Eddie Woo
Properties of Definite Integrals (2 of 4: Dissection & direction)
YT 10 minutes 3 seconds
Eddie Woo
Properties of Definite Integrals (3 of 4: Addition)
YT 3 minutes 57 seconds
Eddie Woo
Properties of Definite Integrals (4 of 4: Piecemeal functions)
YT 9 minutes 58 seconds
Eddie Woo
Indefinite Integrals (1 of 2: Compared to definite integrals)
YT 8 minutes 33 seconds
Eddie Woo
Indefinite Integrals (2 of 2: Example questions)
YT 5 minutes 55 seconds
Eddie Woo
Evaluating Compound Areas (via integration)
YT 7 minutes 25 seconds
Eddie Woo
Area Between Two Curves - Example (1 of 2: Visualising the region)
YT 10 minutes 9 seconds
Eddie Woo
Area Between Two Curves - Example (2 of 2: Forming the integral)
YT 6 minutes 47 seconds
Eddie Woo
Reverse Chain Rule (1 of 3: Standard questions, "Differentiate » integrate" questions)
YT 6 minutes 35 seconds
Eddie Woo
Reverse Chain Rule (2 of 3: Using a derivative to find a primitive)
YT 8 minutes 1 second
Eddie Woo
Reverse Chain Rule (3 of 3: By explicit substitution)
YT 9 minutes 52 seconds
Eddie Woo
Integrals & Logarithmic Functions (1 of 2: Deriving the results)
YT 9 minutes 53 seconds
Eddie Woo
Integrals & Logarithmic Functions (2 of 2: Why are there absolute value signs?)
YT 8 minutes 39 seconds
Eddie Woo
Identifying a Function from its Derivative
YT 8 minutes 19 seconds
Eddie Woo
Integrals & Logarithmic Functions - Why does the solution look different?
YT 9 minutes 57 seconds
Eddie Woo
Applications of Integration & Logarithms
YT 9 minutes 34 seconds
Eddie Woo
Integration of Harder Exponential Functions
YT 8 minutes 59 seconds
Eddie Woo
Applications of Integrating Exponential Functions (1 of 2: Evaluating a volume)
YT 7 minutes 54 seconds
Eddie Woo
Applications of Integrating Exponential Functions (2 of 2: Area beneath a logarithmic curve)
YT 3 minutes 16 seconds
Eddie Woo
Evaluating Definite Integral with Absolute Value
YT 9 minutes 5 seconds
Eddie Woo
Interpreting a Graph w/ Calculus (2 of 2: Evaluating an area)
YT 5 minutes 16 seconds
Eddie Woo
Applications of Trigonometric Integrals (1 of 2: Fundamental properties)
YT 9 minutes 5 seconds
Eddie Woo
Applications of Trigonometric Integrals (2 of 2: Introductory example)
YT 11 minutes 22 seconds
Eddie Woo
Integrating with Respect to Time
YT 9 minutes 10 seconds
Eddie Woo
Primitive Functions (1 of 2: What is anti-differentiation?)
YT 9 minutes 13 seconds
Eddie Woo
Primitive Functions (2 of 2: Basic example question)
YT 7 minutes 38 seconds
Eddie Woo
Indefinite Integrals (1 of 4: Review questions & introduction)
YT 11 minutes 38 seconds
Eddie Woo
Indefinite Integrals (2 of 4: Reverse chain rule)
YT 9 minutes 1 second
Eddie Woo
Indefinite Integrals (3 of 4: When different approaches give different answers)
YT 2 minutes 45 seconds
Eddie Woo
Indefinite Integrals (4 of 4: Rephrasing primitives from index form)
YT 8 minutes 59 seconds
Eddie Woo
Integrating Exponential Functions (Basics)
YT 5 minutes 12 seconds
Eddie Woo
Integrating Trigonometric Functions (1 of 4: Review questions)
YT 10 minutes 31 seconds
Eddie Woo
Integrating Trigonometric Functions (2 of 4: Establishing basic results)
YT 5 minutes 38 seconds
Eddie Woo
Integrating Trigonometric Functions (3 of 4: Rearranging to use reverse chain rule)
YT 3 minutes 57 seconds
Eddie Woo
Integrating Trigonometric Functions (4 of 4: How do we integrate tan x?)
YT 3 minutes 46 seconds
Eddie Woo
Integrating Exponentials with Other Bases
YT 10 minutes 55 seconds
Eddie Woo
Logarithms as Primitive Functions (Why are there absolute value signs?)
YT 9 minutes 38 seconds
Eddie Woo
Fundamental Theorem of Calculus (1 of 5: Considering COVID-19)
YT 11 minutes 39 seconds
Eddie Woo
Fundamental Theorem of Calculus (2 of 5: Areas under curves)
YT 7 minutes
Eddie Woo
Fundamental Theorem of Calculus (3 of 5: Relating derivatives & integrals)
YT 8 minutes 43 seconds
Eddie Woo
Fundamental Theorem of Calculus (4 of 5: Basic examples)
YT 9 minutes 45 seconds
Eddie Woo
Fundamental Theorem of Calculus (5 of 5: Taking care with negative indices)
YT 8 minutes 26 seconds
Eddie Woo
Emoji Maths Puzzle (1 of 2: Setting up the problem)
YT 8 minutes 22 seconds
Eddie Woo
Emoji Maths Puzzle (2 of 2: Evaluating the integral)
YT 8 minutes 7 seconds
Eddie Woo
Integral Calculus Exam Review (1 of 5: Determining function from gradient)
YT 9 minutes 42 seconds
Eddie Woo
Integral Calculus Exam Review (2 of 5: Indefinite integrals)
YT 6 minutes 24 seconds
Eddie Woo
Integral Calculus Exam Review (3 of 5: Reverse chain rule for polynomial)
YT 9 minutes 53 seconds
Eddie Woo
Integral Calculus Exam Review (4 of 5: Balloon inflation question)
YT 9 minutes 4 seconds
Eddie Woo
Integral Calculus Exam Review (5 of 5: Proving & using an algebraic identity)
YT 13 minutes 54 seconds
Eddie Woo
Using Definite Integral Properties
YT 11 minutes 38 seconds
Eddie Woo
Indefinite Integrals (1 of 3: Simple polynomial examples)
YT 7 minutes 41 seconds
Eddie Woo
Indefinite Integrals (2 of 3: Basic reverse chain rule examples)
YT 7 minutes 15 seconds
Eddie Woo
Indefinite Integrals (3 of 3: Harder reverse chain rule examples)
YT 11 minutes 48 seconds
Eddie Woo
Areas by Integration (1 of 6: Basic area under curve)
YT 8 minutes 59 seconds
Eddie Woo
Areas by Integration (2 of 6: Area between curve & both axes)
YT 12 minutes 1 second
Eddie Woo
Areas by Integration (3 of 6: Curve enclosing multiple regions)
YT 5 minutes 14 seconds
Eddie Woo
Areas by Integration (4 of 6: Area by subtraction)
YT 12 minutes 14 seconds
Eddie Woo
Areas by Integration (5 of 6: Integrating from the y-axis)
YT 10 minutes 6 seconds
Eddie Woo
Areas by Integration (6 of 6: Area under y = ln x)
YT 10 minutes 49 seconds
Eddie Woo
Basic Compound Regions (1 of 4: Finding the point of intersection)
YT 7 minutes 39 seconds
Eddie Woo
Basic Compound Regions (2 of 4: Combining the areas)
YT 10 minutes 59 seconds
Eddie Woo
Basic Compound Regions (3 of 4: Constructing & interpreting the graph)
YT 9 minutes 44 seconds
Eddie Woo
Basic Compound Regions (4 of 4: Evaluating the individual integrals)
YT 8 minutes 9 seconds
Eddie Woo
Areas Between Curves (1 of 3: Establishing "top" minus "bottom")
YT 12 minutes 38 seconds
Eddie Woo
Areas Between Curves (2 of 3: Evaluating the integrals)
YT 9 minutes 11 seconds
Eddie Woo
Areas Between Curves (3 of 3: What about beneath the x-axis?)
YT 8 minutes 24 seconds
Eddie Woo
Curves with Multiple Crossings (1 of 5: Locating the boundaries)
YT 10 minutes 35 seconds
Eddie Woo
Curves with Multiple Crossings (2 of 5: Combining areas between polynomials)
YT 7 minutes 49 seconds
Eddie Woo
Curves with Multiple Crossings (3 of 5: Visualising trigonometric functions)
YT 9 minutes 22 seconds
Eddie Woo
Curves with Multiple Crossings (4 of 5: Symmetry & periodicity in areas)
YT 12 minutes 50 seconds
Eddie Woo
Curves with Multiple Crossings (5 of 5: Integrating trigonometric functions)
YT 6 minutes 55 seconds
Eddie Woo
Trapezoidal Rule (1 of 4: Why do we need a method for approximating areas?)
YT 11 minutes 38 seconds
Eddie Woo
Trapezoidal Rule (2 of 4: Approximating a curve with a polygon)
YT 8 minutes 5 seconds
Eddie Woo
Trapezoidal Rule (3 of 4: Improving accuracy with multiple shapes)
YT 15 minutes 52 seconds
Eddie Woo
Trapezoidal Rule (4 of 4: Deriving the general rule for many trapeziums)
YT 11 minutes 1 second
Eddie Woo
Integration Practice (1 of 7: Exponential integrals)
YT 13 minutes 19 seconds
Eddie Woo
Integration Practice (2 of 7: Trapezoidal rule with exponential function)
YT 9 minutes 4 seconds
Eddie Woo
Integration Practice (3 of 7: Rational function areas)
YT 5 minutes 46 seconds
Eddie Woo
Integration Practice (4 of 7: Exponential function area)
YT 3 minutes 57 seconds
Eddie Woo
Integration Practice (5 of 7: Trigonometric definite integral)
YT 11 minutes 12 seconds
Eddie Woo
Integration Practice (6 of 7: Trigonometric integral from a derivative)
YT 9 minutes 24 seconds
Eddie Woo
Integration Practice (7 of 7: Trigonometric/linear enclosed area)
YT 10 minutes 4 seconds
Eddie Woo
Integral Calculus Q&A (1 of 6: Separating an integrand)
YT 6 minutes 49 seconds
Eddie Woo
Integral Calculus Q&A (2 of 6: Simple rational functions)
YT 14 minutes 23 seconds
Eddie Woo
Integral Calculus Q&A (3 of 6: Further rational functions)
YT 10 minutes 40 seconds
Eddie Woo
Integral Calculus Q&A (4 of 6: Exponential equation reducible to quadratic)
YT 7 minutes 50 seconds
Eddie Woo
Integral Calculus Q&A (5 of 6: Locating a stationary point)
YT 9 minutes 36 seconds
Eddie Woo
Integral Calculus Q&A (6 of 6: Further examples)
YT 7 minutes 50 seconds
Eddie Woo
Integrals and Signed Areas [Exam Question]
YT 12 minutes 34 seconds
Eddie Woo
Evaluating Constant of Integration (2 of 2: Definite integral)
YT 7 minutes 9 seconds
Eddie Woo
Evaluating Constant of Integration (1 of 2: Indefinite integral)
YT 10 minutes 52 seconds
Eddie Woo
Integral of a Rational Function (1 of 3: Algebraic pre-work)
YT 11 minutes 27 seconds
Eddie Woo
Integral of a Rational Function (2 of 3: Performing the integration)
YT 12 minutes 24 seconds
Eddie Woo
Integral of a Rational Function (3 of 3: By substitution)