Integrals of inverse trigonometric functions

    • [DOC File]Probability - University of Michigan

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      1.3. Inverse Trigonometric Functions. In this section we look at the derivatives of the inverse trigonometric functions and the corresponding integrals. The inverse trigonometric functions are the inverses of the regular trigonometric functions. Restrictions are placed on the trigonometric functions to make the one-to-one.

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    • [DOC File]Syllabus: AP Calculus AB

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      I. Inverse trigonometric functions and integration. VII. Applications of Integration (22 days) A. Area of a region between two curves. B. Volume: the disc method. C. Volume: the shell method. D. Arc length and surfaces of revolution. VIII. Integration Techniques, L’Hopital’s Rule, and Improper Integrals (6 days) A. Basic integration rules ...

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    • [DOC File]Integration by Parts

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      Integration by parts is a technique for evaluating integrals whose integrand is the product of two functions. For example, or . The rule is: (1) Note: With , and , the rule is also written more compactly as (2) Equation 1 comes from the product rule: (3) Integrating both sides of Eq. 3 with respect to x gives. or. which is equivalent to Eq. (1).

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    • [DOC File]TRIGONOMETRIC V

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      trigonometric and hyperbolic functions. trigonometric hyperbolic definitions, relationships, derivatives, & integrals: sum, double, & half 'angle' identities: inverse function relationships: derivatives of inverse functions: special identities astc = allsintancos = + function in q1,2,3,4 respectively ...

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    • [DOC File]Inverse Functions

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      For three presentations of integration involving inverse trigonometric functions (18.0), see Math Video Tutorials by James Sousa, Integration Involving Inverse Trigonometric Functions, Part 1 (7:39); Math Video Tutorials by James Sousa, Integration Involving Inverse Trigonometric Functions, Part 2 (6:39); This last video includes an example ...

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    • [DOCX File]I. Functions, Graphs, and Limits

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      Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Basic rules for the derivative of sums, products, and quotients of functions. Chain rule and implicit differentiation. III. Integrals. A. Interpretations and Properties of Definite Integrals. Definite ...

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    • [DOC File]AP Calculus AB

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      Functions. The year begins with a quick review of functions emphasizing Trigonometric Functions. Other topics include quadratic inequalities, function notation, work with x+∆x, and the rational root theorem. Parent Function Matching Activity . A Preview of Calculus. An Introduction to Limits (Discovery Activity) Finding Limits Graphically and ...

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    • [DOC File]Calculus II

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      Derivatives and Integrals Involving Inverse Trig Functions As part of a first course in Calculus, you may or may not have learned about derivatives and integrals of inverse trigonometric functions. These notes are intended to review these concepts as we come to …

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    • [DOC File]Radnor High School

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      Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Basic rules for the derivative of sums, products, and quotients of functions. Chain rule and implicit differentiation. Derivatives of parametric, polar, and vector functions. III. Integrals

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