Antiderivative of trig functions

    • [DOC File]Inverse Functions

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      For every one of the six trigonometric functions there is an associated inverse function. They are denoted by . Alternatively, you may see the following notations for the above inverses, respectively, Since all trigonometric functions are periodic functions, they do not pass the horizontal line test. Therefore they are not one-to-one functions.

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    • [DOC File]Review for Test 1

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      Find antiderivatives of combinations of trig functions. Powers of sines and cosines . you better know the half angle formulas. Find simple antiderivatives of tangents and secants. Memorize the antiderivative of secant. Easily find or memorize the antiderivative of tangent. Section 7.3: Trigonometric Substitution. Memorize the three trig ...

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    • [DOC File]Integration by Substitution

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      Apply the substitution technique to trig functions. Probably one of the most powerful techniques of integration is integration by substitution. In this technique, you choose part of the integrand to be equal to a variable we will call and then write the entire integrand in terms of The difficulty of the technique is deciding which term in the ...

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    • [DOC File]MATH 115 ACTIVITY 1:

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      MATH 116 ACTIVITY 2: Calculus (derivative and antiderivative) with trig functions. WHY: The trigonometric functions complete the set of "elementary functions" from which we build (by composititon, multiplication, etc.) most of the functions used in applications. This activity is intended to allow us to revisit the basic derivative and ...

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    • [DOC File]Department of Physics and Mathematics

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      Compute the derivative and anti-derivative of, hyperbolic and inverse functions. Graph the hyperbolic and the inverse hyperbolic functions. Find an anti-derivative using parts, powers of trigonometric function, trigonometric substitution, partial fractions and completing the square. Recognize and evaluate indeterminate forms.

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    • [DOC File]116Deriv review95 - Saint Mary's College

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      MATH 116-2006. Derivative & Antiderivative review . This review covers (most of) the first-semester material on limits, derivatives, and antiderivatives that we will call upon for second semester (doesn't include much on graphs, on log & exponential, exponential growth functions, or trig functions - which also will show up quite a bit).

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    • [DOC File]MATH 115 ACTIVITY 1:

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      Some remarks on identifying u, v’:We select u, v’ so that will be simpler than , Since exponential and trig functions have antiderivatives that are no messier than the functions, they are candidates for v’. Since the logarithm is hard to deal with, ln(x) (or powers of ln(x)) is always a prime candidate for u.

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    • [DOC File]Walter Hines Page High School - Mr. Mack- AP Calculus BC H ...

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      Derivatives of six trig functions. Higher Order Derivatives. Chain Rule. Implicit Differentiation. Related Rates. Derivative of Inverses . General Inverses (Monotonicity and derivative and inverse at a point.) Derivatives of Logarithmic Functions. Derivatives of Exponential Functions.

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    • [DOC File]Computing Indefinite Integrals

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      Have them work on figuring out the antiderivative formulas for ex, ax, and ln(x). Explain how the ln(x) fills in the hole from before where x = -1. Teach the students how to do integrals on their TI-89 calculator. Homework: Come up with the antiderivative formulas for the inverse trig functions by reversing the differentiation forumulas.

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