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| Applications of Integration | |
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| Area of a Region Between Two Curves | |
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| Volume: The Disk Method | |
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| Volume: The Shell Method Section Project: Saturn | |
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| Arc Length and Surfaces of Revolution | |
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| Work Section Project: Tidal Energy | |
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| Moments, Centers of Mass, and Centroids | |
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| Fluid Pressure and Fluid Force | |
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| Integration Techniques, L'Hocirc;pital's Rule, and Improper Integrals | |
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| Basic Integration Rules | |
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| Integration by Parts | |
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| Trigonometric Integrals Section Project: Power Lines | |
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| Trigonometric Substitution | |
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| Partial Fractions | |
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| Integration by Tables and Other Integration Techniques | |
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| Indeterminate Forms and L'Hocirc;pital's Rule | |
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| Improper Integrals | |
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| Infinite Series | |
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| Sequences | |
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| Series and Convergence Section Project: Cantor's Disappearing Table | |
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| The Integral Test and p-Series Section Project: The Harmonic Series | |
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| Comparisons of Series Section Project: Solera Method | |
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| Alternating Series | |
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| The Ratio and Root Tests | |
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| Taylor Polynomials and Approximations | |
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| Power Series | |
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| Representation of Functions by Power Series | |
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| Taylor and Maclaurin Series | |
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| Conics, Parametric Equations, and Polar Coordinates | |
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| Conics and Calculus | |
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| Plane Curves and Parametric Equations Section Project: Cycloids | |
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| Parametric Equations and Calculus | |
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| Polar Coordinates and Polar Graphs Section Project: Anamorphic Art | |
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| Area and Arc Length in Polar Coordinates | |
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| Polar Equations of Conics and Kepler's Laws | |
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| Vectors and the Geometry of Space | |
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| Vectors in the Plane | |
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| Space Coordinates and Vectors in Space | |
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| The Dot Product of Two Vectors | |
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| The Cross Product of Two Vectors in Space | |
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| Lines and Planes in Space Section Project: Distances in Space | |
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| Surfaces in Space | |
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| Cylindrical and Spherical Coordinates | |
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| Appendices | |
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| Proofs of Selected Theorems | |
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| Integration Tables | |
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| Additional Topics in Differential Equations (Web only) | |
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| Precalculus Review (Web only) | |
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| Rotation and the General Second-Degree Equation (Web only) | |
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| Complex Numbers (Web only) | |
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| Business and Economic Applications (Web only) | |