Integrals with trig functions
[DOC File]Integration by Parts
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Additional methods of integration are associated with particular types of functions. Here, we explore how to integrate certain trigonometric functions as well as rational functions. Trigonometric Integrals: Using Trig Identities. Shown below are four examples to illustrate integration of certain families of trigonometric integrals. Example 1 ...
[DOC File]Calculus II
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Many integrals can be taken from impossible or very difficult to very easy with a little simplification or manipulation. Don’t forget basic trig and algebraic identities as these can often be used to simplify the integral. We used this idea when we were looking at integrals involving trig functions.
[DOC File]Computing Indefinite Integrals
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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 …
[DOC File]Calculus II
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Integrals of the Trig functions and powers of – be able to derive or memorize. Integration by partial fractions. Average value. Derivatives of arccos, arcsin, arctan- inverse Trig functions. Implicit differentiation. Related rates. Convergence/ divergence of series. Taylor/ Maclaurin series. Trapezoids.
[DOC File]Spring Final Exam Review Topics:
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They will also learn the antiderivative formulas for the trig functions and the inverse trig functions. Prerequisite Knowledge: Students should: Have a fairly good understanding of definite integrals. Know how to draw slope fields. Objectives: Students will learn the difference between definite and indefinite integrals.
[DOC File]MESA STATE COLLEGE
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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 rely …
[DOC File]Indefinite Integrals Calculus
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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).
[DOC File]Integration by Substitution
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We evaluated definite integrals as limits of Riemann Sums. Multimedia Link. For video presentations on calculating definite integrals using Riemann Sums (13.0), see Riemann Sums, Part 1 (6:15) and Riemann Sums, Part 2 (8:32). The following applet lets you explore Riemann Sums of any function. You can change the bounds and the number of partitions.
Integration of Trigonometric Functions
Compute by hand the integrals of a wide variety of functions by using the technique of substitution. Apply the substitution technique to definite integrals. Apply the substitution technique to trig functions. Probably one of the most powerful techniques of integration is integration by substitution.
[DOC File]De Anza College
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Review of Highlights of Calculus I (limits, derivative, integrals, theorems) Inverse Functions. Natural Log and Exponential functions. Logs and Exponents with other bases. Exponential Models. Inverse Trig Functions. L’hopital’s rule and growth rates (1 day) Integration by parts. Trig Integrals. Trigonometric Substitution. Partial Fractions
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