_{Up Learn – A Level maths (edexcel) – Integration by Parts}

_{Up Learn – A Level maths (edexcel) – Integration by Parts}

**The One Up, One Down Game**

**This video starts to explain a game we use to teach integration by parts on Up Learn. Eventually, the rules of the game tell you exactly which part to differentiate and which part to integrate.**

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### More videos on Integration by Parts:

^{Introduction to Integration by Parts (free trial) }

^{The One Up, One Down Game (free trial)}

^{Mastering the One Up, One Down Game (free trial)}

^{Changing the Rules of the Game (free trial)}

^{When Both Expressions are Algebraic (free trial)}

^{When One Expression is Logarithmic (free trial)}

^{When One Expression is Logarithmic (free trial)}

^{Integration by Parts I (free trial)}

^{Integration by Parts II (free trial)}

^{Completing Integration by Parts (free trial)}

^{Integrating by Parts Multiple Times (free trial)}

^{Integrating ln(x)}

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## Calculus III

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2. The Area of a Circle – Part 1

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3. The Area of a Circle – Part 2

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4. The Area of a Circle – Part 3

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5. The Area of a Circle – Part 4

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6. Antiderivatives

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7. The Symbols of Integration – Part 1

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8. The Symbols of Integration – Part 2

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9. Indefinite Integrals

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10. Definite Integrals, and Area – Part 1

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11. Definite Integrals, and Area – Part 2

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12. Definite Integrals, and Area – Part 3

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13. Definite Integrals, and Area – Part 4

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14. Definite Integrals, and Area – Part 5

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15. Area Under the x Axis – Part 1

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16. Area Under the x Axis – Part 2

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17. Area Under the x Axis – Part 3

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18. Area Under the x Axis – Part 4

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19. Area Under the x Axis – Part 5

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20. Areas Between Curves and Straight Lines

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2. The One Algebraic Function that Got Away

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3. The Purpose of the Modulus

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4. What Went Wrong?

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5. What We Know So Far

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6. Integrating Exponential Functions

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7. Integrating Trig Functions

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8. Integrating sin(x)

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9. Integrating cos(x)

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10. Integrating tan(x)

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11. Integrating cot(x)

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12. Integrating cosec(x)

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13. Integrating sec(x)

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14. Integrating Four More Trig Functions

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15. Integrating sec^2(x)

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16. Integrating cosec^2(x)

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17. Integrating cosec(x)cot(x)

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18. Integrating sec(x)tan(x)

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19. Revisiting Definite Integrals

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20. The Area Under a Sine Curve

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2. What We Can Differentiate

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3. Liouville’s Vision

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4. The Fate of Integration

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5. Identifying f'(x) Divided by f(x)

6. Integrating f'(x) Divided by f(x)

7. Integrating kf'(x) Divided by f(x) Part 1

8. Identifying kf'(x) Divided by f(x)

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9. Integrating kf'(x) Divided by f(x) Part 2

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10. Integration and Partial Fractions

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11. Identifying f'(x) Multiplied by (f(x))^n

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12. Identifying kf'(x) Multiplied by (f(x))^n

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13. Integrating kf'(x) Multiplied by (f(x))^n

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14. Integrating kf'(x) Multiplied by (f(x))^n

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15. The Reverse Chain Rule Part 2

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16. Difficulty with the Reverse Chain Rule

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17. Making a Substitution

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18. Converting the Infinitesimal

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19. Integrating with Respect to u

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20. Integration by Substitution

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21. Non-Linear Substitutions

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22. Speeding Up the Process

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23. Substitutions Where x is the Subject

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24. Implicitly Defined Substitutions

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25. Finding Your Own Substitution

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26. Pick the Expression That’s Been Raised to a Power

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27. Why Did We Learn the First Two Tricks?

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28. Converting the Boundaries of a Definite Integral

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2. The One Up, One Down Game

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3. Mastering the One Up, One Down Game

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4. Changing the Rules of the Game

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5. When Both Expressions are Algebraic

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6. When One Expression is Logarithmic

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7. When One Expression is Logarithmic

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8. Integration by Parts I

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9. Integration by Parts II

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10. Completing Integration by Parts

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11. Integrating by Parts Multiple Times

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12. Integration by Parts and the Product Rule

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13. Integrating ln(x)

14. Integration by Parts and Definite Integrals

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2. The Return of the Identities

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3. A Reciprocal Pythagorean Identity

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4. Another Reciprocal Pythagorean Identity

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5. The Original Pythagorean Identity

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6. The Double Angle Identity for Sine

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7. The Double Angle Identity for Cosine Part 1

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8. The Double Angle Identity for Cosine Part 2

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9. The Double Angle Identity for Cosine Part 3

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10. The Double Angle Identity for Tangent

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11. What Trig Functions Can We Now Integrate?

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2. Finding the Area Between Two Curves

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3. Finding the Area Between Two Points of Intersection

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4. The Areas We Can’t Find Yet

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5. What is a Trapezium?

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6. Finding the Area of a Trapezium

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7. Splitting an Area into Right Trapeziums

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8. Finding the Width of the Strips

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9. Finding the Boundary Points

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10. Finding the Value of y at Each Boundary Point

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11. Finding the Area Under the Curve

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12. The Trapezium Rule I

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13. The Trapezium Rule II

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14. The Trapezium Rule III

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15. The Trapezium Rule IV

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16. Overestimating and Underestimating the Area

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2. Convert to Cartesian Form then Integrate

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3. Integrate Without Converting to Cartesian Form

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4. Rewriting the Integral in Terms of x

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5. Rewriting the Boundaries in Terms of t

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6. Recapping the Strategies

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2. Differential Equations in the Real World

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3. Difficulties with Differential Equations

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4. The Constant of Integration and Families of Curves

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5. Methods for Differential Equations

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6. Integrating as Normal

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7. Solving Differential Equations

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8. Why Do We Use the Term ‘Solution’?

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9. The Differential Equations We Can Solve So Far

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10. Recognising a Special Type of Differential Equation

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11 Separation of Variables Part 1

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12. Separation of Variables Part 2

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13. Finding Particular Solutions to Differential Equations

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14. Modelling with Differential Equations I

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15. Modelling with Differential Equations II

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16. Modelling with Differential Equations III

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WHAT YOU GET

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**Interactive Video Lessons**

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**Detailed Quizzes**

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**Exclusive Practice Papers**

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Bespoke assessment and practice questions to chart your grade gains as you progress through your A Level Maths revision