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Calculating Definite Integrals by Substitution
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Classroom Contents
Further Calculus Skills - Integration by Substitution and Inverse Trigonometric Functions
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- 1 Calculating Definite Integrals by Substitution
- 2 Calculating Indefinite Integrals by Substitution (1 of 2: Integrating)
- 3 Calculating Indefinite Integrals by Substitution (2 of 2: Resolving θ)
- 4 Definite Integrals by Substitution
- 5 Integration by Substitution (1 of 2)
- 6 Integration by Substitution (2 of 2)
- 7 Integrating Trigonometric Function w/ Substitution & Identity
- 8 Determining & Interpreting the Inverse of a Special Exponential Function
- 9 Evaluating Derivative of an Inverse Function
- 10 Differentiation of ITFs (1 of 3: Predicting the properties of d/dx(tan¯¹(x)))
- 11 Differentiation of Inverse Trig Functions (1 of 2: Dealing with a Hidden Condition in the Question)
- 12 Differentiation of ITFs (2 of 3: Using Trig Identities to find the derivative of tan¯¹(x))
- 13 Differentiation of ITFs (3 of 3: Finding the Condition that make d/dx(sin¯¹(x)) what it actually is)
- 14 Differentiation of Inverse Trig Functions (2 of 2: Maximum Optimisation for Inverse Trig Function)
- 15 Calculus with ITFs (1 of 3: Generalising the derivative of the Basic Inverse sine function)
- 16 Calculus with ITFs (2 of 3: Generalising the derivative of tan¯¹(x) & the derivative of cos¯¹(x))
- 17 Calculus with ITFs (3 of 3: Integrating cos¯¹(x) to find the area under a set domain)
- 18 Integration by Substitution (1 of 4: Integrating (1-4x^2)^1/2 without Substitution)
- 19 Integration by Substitution (2 of 4: Doing the same Question with a simple substitution of 'u')
- 20 Integration by Substitution (3 of 4: Applying the substitution on a harder example)
- 21 Integration by Substitution (4 of 4: Applying the substitution to a definite integral)
- 22 Harder Integration by Substitution (1 of 3: Substituting a tan function to simplify the Integration)
- 23 Harder Integration by Substitution (2 of 3: Dealing with implied restrictions within the Question)
- 24 Harder Integration by Substitution (3 of 3: Using another substitution to find the solution)
- 25 Properties of Definite Integrals (6 of 6: Using Integration by substitution to evaluate integral)
- 26 Differentiating Inverse Trigonometric Functions (3 of 6: Examples + graphing the derivative)
- 27 Differentiating Inverse Trigonometric Functions (4 of 6: Proof for inverse sine)
- 28 Differentiating Inverse Trigonometric Functions (5 of 6: Graphing inverse sine derivative)
- 29 Differentiating Inverse Trigonometric Functions (2 of 6: Proof for inverse tan)
- 30 Differentiating Inverse Trigonometric Functions (6 of 6: Cosine)
- 31 Differentiating Inverse Trigonometric Functions (1 of 6: Laying foundations)
- 32 Integrating into Inverse Trigonometric Functions
- 33 Integration by Substitution (1 of 2: Indefinite integrals)
- 34 Integration by Substitution (2 of 2: Definite integrals)
