'Math 6b' presentation slideshows

8.8 Improper Integrals

8.8 Improper Integrals. Math 6B Calculus II. Type 1: Infinite Integrals. Definition of an Improper Integral of Type 1 provided this limit exists (as a finite number). Type 1: Infinite Integrals. provided this limit exists (as a finite number). Type 1: Infinite Integrals.

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7.7 Hyperbolic Functions

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10.5 The Ratio, Root, and Comparison Test

10.5 The Ratio, Root, and Comparison Test. Math 6B Calculus II. The Ratio Test. Then a) the series converges if r < 1. b) the series diverges if r > 1. c) the test is inconclusive if r = 1. The Root Test. Then a ) the series converges if r < 1.

217 views • 6 slides

8.3 Trigonometric Integrals

8.3 Trigonometric Integrals. Math 6B Calculus II. Strategies for Evaluating . If m is odd and n is real Split off sin x , rewrite the resulting even power of sin x in terms of cos x, and then use u = cos x. If n is odd and n is real

302 views • 5 slides

11.1 Approximating Functions with Polynomials

11.1 Approximating Functions with Polynomials. Math 6B Calculus II. Taylor Polynomial. The n th -order Taylor Polynomial is the first n terms of the Taylor series. Remainder in a Taylor Polynomial.

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10.3 Infinite Series

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8.2 Integration by Parts

8.2 Integration by Parts. Math 6B Calculus II. Integration by Parts. Integration by parts is a technique for simplifying integrals of the form:. The Formula. Other Techniques. Solving for the Unknown Integral (Repeated Integration) Tabular Integration.

403 views • 4 slides

10.6 Alternating Series

10.6 Alternating Series. Math 6B Calculus II. Alternating Series Theorem. Estimating Sums. Alternating Series Estimation Theorem. Absolute and Conditional Convergence. A series is called absolutely convergent if the series of absolute values is convergent.

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8.5 Integration of Rational Functions by Partial Fractions

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8.4 Trigonometric Substitutions

8.4 Trigonometric Substitutions. Math 6B Calculus II. Types of Intergrals. Integrals involving Integrals involving Integrals involving .

476 views • 2 slides