Trig derivative and integral identities
[DOCX File]California State Polytechnic University, Pomona
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Limit definition of derivative and understanding the derivative as a rate of change and slope of the tangent line. ... Unit Circle (Review) , Verifying Trig Identities. Brief review of the unit circle workshop, practice verifying trig identities and helpful strategies to keep in mind while solving those problems. ... Idea of an integral. The ...
[DOC File]Inverse Functions
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Here are two other identities that you may need to enter into your calculator: The Derivative Formulas of the Inverse Trigonometric Functions. If is a differentiable function of then the generalized derivative formulas for the inverse trigonometric functions are (we introduce them here without a proof): Example 3: Differentiate . Solution: Let so
[DOC File]ww2.justanswer.com
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Sep 14, 2013 · 5. Substitute u and du into your integral and use the general power rule to integrate. 6. Substitute the trig factor back in for u to write your final answer. 7. Use the trig rules to integrate . 7. Use the trig rules to integrate . Integrals involving tan(x), sec(x), cot(x), csc(x) If the power of sec or csc is even and positive, save a sec or ...
[DOC File]Calculus II - MATH
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Trigonometric Integrals: Using Trig Identities. Shown below are four examples to illustrate integration of certain families of trigonometric integrals. Example 1: Evaluate . The first integral in the last line can be solved by inspection and the second by using the substitution u = cosx. With this in mind, the final result is. Example 2: Evaluate .
[DOC File]Section 1
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Use identities to substitute. ... Use derivative to get the original integral And the simplify using addition/subtraction * * Strategies for Hard Trig Integrals * sin² x + cos² x = 1 From odd power, keep one sin x or cos x, for dx Use identities to substitute sinm x • cosn x, n or m is odd sin² x = ½(1 – cos 2x) cos² x = ½(1 + cos 2x ...
[DOC File]Integration by Substitution
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Apply the substitution technique to trig functions. ... The integrand is the derivative of the natural logarithm . Another way of writing it, since , is ... Using the identities above, the first integral can be written as . Similarly, the second integral can be written as . Example 2: Evaluate .
[DOC File]AP Calculus AB
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5.6 Apply derivative and integration to exponential growth and decay models 5.7 Find derivatives of inverse trig functions Day 105-106 5.8 Evaluate integrals involving inverse trig functions Day 107-108 Assessment Chapter 5.1-5.8 Day 109 6.1 Use definate integral to find area between curves Day 110-111 6.2 Find the volume of a solid of ...
[DOC File]Precalculus
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Period, frequency, sign and values of trig functions. Reference Angles. Graphs of sine, cosine and tangent functions. Inverse trig functions. Trig Identities. Sum and Difference formulas. Double angle formulas. Product to Sum. Law of Sines and Cosines. Area of a Triangle. Sinusoidal graphs. Simple harmonic motion. Sequences, Series and ...
[DOCX File]Directory - Elgin Community College (ECC)
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Definitions of the six trigonometric functions § 10.2, § 10.3 - Knowing the reciprocal identities of the trig functions is critical for all three semesters of calculus. Reverting back to sine and cosine definitions of the trig functions is critical for the material in the first two semesters of calculus.
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