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Standard Integrals Involving Inverse Trigonometric Functions
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Inverse Trigonometric Functions
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- 1 Introduction to Inverse Trig Functions (1 of 2): Why a whole new topic?
- 2 Introduction to Inverse Trig Functions (2 of 2): Reviewing Functions & Relations
- 3 Related Rates - Boat w/ Inverse Trig
- 4 Derivatives of Inverse Trigonometric Functions
- 5 Areas Involving Inverse Trig Functions
- 6 Evaluating Multiple Inverse Trig Functions
- 7 Inverse Trigonometric Functions: sin¯¹(x) & cos¯¹(x)
- 8 Inverse Trigonometric Functions: tan¯¹(x)
- 9 Graphing y = cos¯¹(cos x)
- 10 Graphing y = sin[sin¯¹(x)]
- 11 Graphing y = sin¯¹(sin x)
- 12 Graphing y = tan¯¹(tan x)
- 13 Evaluating Trig & Inv Trig Ratios (1 of 2)
- 14 Evaluating Trig & Inv Trig Ratios (2 of 2)
- 15 Differentiating sin¯¹(x) & cos¯¹(x)
- 16 Differentiating tan¯¹(x)
- 17 Inverse Trig + Trig Expansions: With Algebraic Terms
- 18 Inverse Trig + Trig Expansions: With Values
- 19 Inverse Trig Derivatives & Integrals (Summary)
- 20 Differentiating Inverse Trig Functions w/ Chain Rule (1 of 3)
- 21 Differentiating Inverse Trig Functions w/ Chain Rule (2 of 3)
- 22 Differentiating Inverse Trig Functions w/ Chain Rule (3 of 3)
- 23 Max/Min Question w/ Inverse Trig
- 24 Indefinite Integrals of Inverse Trig Functions (1 of 2)
- 25 Indefinite Integrals of Inverse Trig Functions (2 of 2)
- 26 Graphing Inverse Trig Functions (1 of 2)
- 27 Graphing Inverse Trig Functions (2 of 2)
- 28 Tricky Inverse Trig Integral: The Easy Way
- 29 Tricky Inverse Trig Integral: The Hard Way
- 30 Inverse Trig Function w/ Complicated Argument
- 31 Introduction to Inverse Functions (warning: out of focus)
- 32 Considering Inverse Trigonometric Expressions as Angles in Triangles
- 33 Does sin¯¹(sin x) = x?
- 34 Forming Inverse Functions by Restricting Domain
- 35 Geometric Properties of Inverse Functions
- 36 Graphing Functions & Their Inverses
- 37 Restricting the Domain of cos x
- 38 Tricky Inverse Trigonometric Expression Question
- 39 Graphical & Analytical Approach to sin¯¹(sin x)
- 40 Differentiating sin inverse x by Considering Domain
- 41 Functions, Domains and Fussy Eaters
- 42 Further Thoughts on the Derivatives of Inverse Trigonometric Functions
- 43 Interpreting sin¯¹(cos x)
- 44 Integrals Involving Inverse Trigonometric Functions & Reverse Chain Rule
- 45 Standard Integrals Involving Inverse Trigonometric Functions
- 46 How to Approach Areas Under Inverse Trig. Functions (1 of 2)
- 47 How to Approach Areas Under Inverse Trig. Functions (2 of 2)
- 48 Inverse Tan Identity Question (1 of 3): Complementary Identity
- 49 Inverse Tan Identity Question (2 of 3): Addressing the Restrictions
- 50 Inverse Tan Identity Question (3 of 3): Combining Terms & Graphing
- 51 Modified Inverse Trig Graph: Determine Features & Evaluate Area
- 52 Evaluating Trig Ratio of Inverse Trig Expression
- 53 Exam Problem: Inverse Trig Identity
- 54 Integration of Trigonometric Functions (1 of 3: Introduction to uses and some examples)
- 55 Integration of Trigonometric Functions (2 of 3: Manipulating the function to simplify integral)
- 56 Integration of Trigonometric Functions (3 of 3: Using Trig Identities to evaluate cos^2(x))
- 57 Properties of Inverse Functions (1 of 3: If f(x) is increasing, f¯¹(x) is also increasing)
- 58 Inverse Trigonometric Functions (1 of 4: Choosing a Domain for the Inverse of sine)
- 59 Inverse Trigonometric Functions (2 of 4: Justifying the Choice of Domain)
- 60 Properties of Inverse Functions (2 of 3: Relationship of derivatives of the original and inverse)
- 61 Properties of Inverse Functions (3 of 3: Relationship between inverse and original symmetry)
- 62 Graphs of the Inverse Trig Functions (1 of 3: Reviewing the domain, range and shape)
- 63 Inverse Trigonometric Functions (3 of 4: Determining the domain of cos¯¹x and tan¯¹x)
- 64 Inverse Trigonometric Functions (4 of 4: Graphing the Shape of the inverse Trig Functions)
- 65 Graphs of the Inverse Trig Functions (2 of 3: Transformations of the basic inverse trig functions)
- 66 Graphs of the Inverse Trig Functions (3 of 3: WARNING - Shifting and transforming the WRONG way)
- 67 Properties of Graphs of I.T.Fs (1 of 3: Graphically and Algebraically Solving sin¯¹x + cos¯¹x = ?)
- 68 Properties of Graphs of I.T.Fs (2 of 3: Finding the solution to the compound function of arc(trig)x)
- 69 Properties of Graphs of I.T.Fs (3 of 3: Showing the Relationship between original & Compound)
- 70 Combining Trigonometric & Inverse Trigonometric Functions
- 71 Graphs of Inverse Trigonometric Functions (1 of 2: Thinking through domain & range)
- 72 Graphs of Inverse Trigonometric Functions (2 of 2: Considering shifts through domain)
