Integral rules for trig
[DOC File]Calculus II - Illinois State University
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We use derivative rules we already know—in this case, the chain rule—as well as the new information about derivatives of inverse trig functions: Example 2: Determine the derivative of . Example 3: Determine the derivative of . Here we recognize that arcsin(u) = sin-1(u). We also use the trig identity sin2(x) + cos2(x) = 1.
[DOC File]Indefinite Integrals Calculus
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Use basic integration rules. Introduction. In this lesson we will introduce the idea of the . antiderivative. of a function and formalize as . indefinite integrals. We will derive a set of rules that will aid our computations as we solve problems. Antiderivatives. Definition. A function is called an . antiderivative. of a function if for all in ...
[DOC File]MTH 132 (sec 104) Syllabus Fall 2004
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indefinite integrals and integral notation. basic rules for integration: integrals for polynomial and trig functions. using initial conditions to find particular solutions to . 1st order differential equations. 5.1 sigma notation for summations. some basic formulas for summations. using inscribed and circumscribed rectangles to compute upper and
[DOCX File]Mission Statement
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U-Substitution, Trig Rules, Integration. Spiral: Find the integral of a trig function using the rules that were learned on lesson 7.2. New: Using U-Sub with trig functions. Assess: (Call outs) Worksheet: U-Substitution with Trigonometry. 7.7 (.75 day)
[DOC File]Integration by Substitution
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The integral above has an important geometric interpretation that you need to keep in mind. Recall that, geometrically, the definite integral represents the area under the curve. Similarly, the integral is a definite integral that represents the area under the curve over the interval as the figure below shows.
Chapter 1: Limits and Their Properties
• Inverse trig functions and differentiation • Inverse trig functions and integration . Chapter 6: Applications of Integration (4-4.5 weeks, 1 test, daily quizzes; cumulative exam; semester final) • The integral as an accumulator of rates of change • Area of a region between two curves • Volume of a solid with known cross sections
[DOCX File]MATH 201 – CALCULUS I
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Analyze polynomials, rational functions and trig functions graphically. Evaluate limits by (1) direct substitution, (2) algebraic manipulation, and (3) numerically “approaching” the value of interest. Find derivatives of algebraic power (+, -, or fractional) expressions by evaluating the limit of the difference quotient.
[DOC File]MTH 132 (sec 104) Syllabus Fall 2004
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indefinite integrals and integral notation. basic rules for integration: integrals for polynomial and trig functions. using initial conditions to find particular solutions to . 1st order differential equations. 5.1 sigma notation for summations. some basic formulas for summations, Bernoulli's formula. inscribed and circumscribed rectangles
[DOC File]JustAnswer
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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]AP Calculus Assignments: Derivative Techniques
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2 Product and quotient rules HW Derivative Techniques - 2. 3 Derivatives of exponential and log functions HW Derivative Techniques - 3 . 4 Derivatives of Trig Functions HW Derivative Techniques - 4. 5 Rates of Change HW Derivative Techniques - 5 . 6 Practice **QUIZ** HW Derivative Techniques - 6. 7 The Chain Rule
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