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Work as an Integral
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Classroom Contents
Calculus 2
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- 1 Area Between Curves
- 2 Volumes of Solids of Revolution
- 3 Volumes Using Cross-Sections
- 4 Arclength
- 5 Work as an Integral
- 6 Average Value of a Function
- 7 Proof of the Mean Value Theorem for Integrals
- 8 Integration by Parts
- 9 Table Method For Integration By Parts by Morgan Goetz
- 10 Trig Identities
- 11 Proof of the Angle Sum Formulas
- 12 Integrals Involving Odd Powers of Sine and Cosine
- 13 Integrals Involving Even Powers of Sine and Cosine
- 14 Special Trig Integrals
- 15 Integration Using Trig Substitution
- 16 Integrals of Rational Functions
- 17 Improper Integrals - Type 1
- 18 Improper Integrals - Type 2
- 19 The Comparison Theorem for Integrals
- 20 Sequences - Definitions and Notation
- 21 Series Definitions
- 22 Sequences - More Definitions
- 23 Monotonic and Bounded Sequences Extra
- 24 L'Hospital's Rule
- 25 L'Hospital's Rule on Other Indeterminate Forms
- 26 Convergence of Sequences
- 27 Geometric Series
- 28 Koch’s snowflake problem
- 29 The Integral Test
- 30 Comparison Test for Series
- 31 The Limit Comparison Test
- 32 Proof of the Limit Comparison Test
- 33 Absolute Convergence
- 34 The Ratio Test
- 35 Proof of the Ratio Test
- 36 Series Convergence Test Strategy
- 37 Taylor Series Introduction
- 38 Power Series
- 39 Convergence of Power Series
- 40 Power Series Interval of Convergence Example
- 41 Proofs of Facts about Convergence of Power Series
- 42 Power Series as Functions
- 43 Representing Functions with Power Series
- 44 Using Taylor Series to find Sums of Series
- 45 Taylor Series Theory and Remainder
- 46 Parametric Equations
- 47 Slopes of Parametric Curves
- 48 Area under a Parametric Curve
- 49 Arclength of Parametric Curves
- 50 Polar Coordinates
