Further Calculus Skills
34 videos • 7,564 views • by Eddie Woo
1
Calculating Definite Integrals by Substitution
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2
Calculating Indefinite Integrals by Substitution (1 of 2: Integrating)
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3
Calculating Indefinite Integrals by Substitution (2 of 2: Resolving θ)
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4
Definite Integrals by Substitution
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5
Integration by Substitution (1 of 2)
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6
Integration by Substitution (2 of 2)
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7
Integrating Trigonometric Function w/ Substitution & Identity
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8
Determining & Interpreting the Inverse of a Special Exponential Function
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9
Evaluating Derivative of an Inverse Function
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10
Differentiation of ITFs (1 of 3: Predicting the properties of d/dx(tan¯¹(x)))
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11
Differentiation of Inverse Trig Functions (1 of 2: Dealing with a Hidden Condition in the Question)
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12
Differentiation of ITFs (2 of 3: Using Trig Identities to find the derivative of tan¯¹(x))
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13
Differentiation of ITFs (3 of 3: Finding the Condition that make d/dx(sin¯¹(x)) what it actually is)
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14
Differentiation of Inverse Trig Functions (2 of 2: Maximum Optimisation for Inverse Trig Function)
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15
Calculus with ITFs (1 of 3: Generalising the derivative of the Basic Inverse sine function)
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16
Calculus with ITFs (2 of 3: Generalising the derivative of tan¯¹(x) & the derivative of cos¯¹(x))
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17
Calculus with ITFs (3 of 3: Integrating cos¯¹(x) to find the area under a set domain)
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18
Integration by Substitution (1 of 4: Integrating (1-4x^2)^1/2 without Substitution)
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19
Integration by Substitution (2 of 4: Doing the same Question with a simple substitution of 'u')
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20
Integration by Substitution (3 of 4: Applying the substitution on a harder example)
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21
Integration by Substitution (4 of 4: Applying the substitution to a definite integral)
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22
Harder Integration by Substitution (1 of 3: Substituting a tan function to simplify the Integration)
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23
Harder Integration by Substitution (2 of 3: Dealing with implied restrictions within the Question)
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24
Harder Integration by Substitution (3 of 3: Using another substitution to find the solution)
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25
Properties of Definite Integrals (6 of 6: Using Integration by substitution to evaluate integral)
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26
Differentiating Inverse Trigonometric Functions (3 of 6: Examples + graphing the derivative)
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27
Differentiating Inverse Trigonometric Functions (4 of 6: Proof for inverse sine)
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28
Differentiating Inverse Trigonometric Functions (5 of 6: Graphing inverse sine derivative)
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29
Differentiating Inverse Trigonometric Functions (2 of 6: Proof for inverse tan)
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30
Differentiating Inverse Trigonometric Functions (6 of 6: Cosine)
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31
Differentiating Inverse Trigonometric Functions (1 of 6: Laying foundations)
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32
Integrating into Inverse Trigonometric Functions
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33
Integration by Substitution (1 of 2: Indefinite integrals)
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34
Integration by Substitution (2 of 2: Definite integrals)
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