Solution Manual for Calculus: The Classic Edition, Volume 2, 5th Edition, Earl W. Swokowski,

Solution Manual for Calculus: The Classic Edition, Volume 2, 5th Edition, Earl W. Swokowski,

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Table of Contents

9. TECHNIQUES OF INTEGRATION.
Integration by Parts. Trigonometric Integrals. Trigonometric Substitutions. Integrals of Rational Functions. Integrals Involving Quadratic Expressions. Miscellaneous Substitutions. Tables of Integrals. Review Exercises.
10. INDETERMINATE FORMS AND IMPROPER INTEGRALS.
The Indeterminate Forms 0/0 and ¥/¥. Other Indeterminate Forms. Integrals with Infinite Limits of Integration. Integrals with Discontinuous Integrands. Review Exercises.
11. INFINITE SERIES.
Sequences. Convergent of Divergent Series. Positive-Term Series. The Rational and Root Tests. Alternation Series and Absolute Convergence. Power Series. Power Series Representations of Functions. Maclaurin and Taylor Series. Applications of Taylor Polynomials. The Binomial Series. Review Exercises.
12. TOPICS FROM ANALYTIC GEOMETRY.
Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Review Exercises.
13. PLANE CURVES AND POLAR COORDINATES.
Plane Curves. Tangent Lines and Arc Length. Polar Coordinates. Integrals in Polar Coordinates. Polar Equations of Conics. Review Exercises.
14. VECTORS AND SURFACES.
Vectors in Two Dimensions. Vectors in Three Dimensions. The Dot Product. The Vector Product. Lines and Planes. Surfaces. Review Exercises.
15. VECTOR-VALUED FUNCTIONS.
Vector-Valued Functions and Space Curves. Limits, Derivatives, and Integrals. Motion. Curvature. Tangential and Normal Components of Acceleration. Kepler’s Laws. Review Exercises.
16. PARTIAL DIFFERENTIATION.
Functions of Several Variables. Limits and Continuity. Partial Derivatives. Increments and Differentials. Chain Rules. Directional Derivatives. Tangent Planes and Normal Lines. Extrema of Functions of Several Variables. Lagrange Multipliers. Review Exercises.
17. MULTIPLE INTEGRALS.
Double Integrals. Area and Volume. Double Integrals in Polar Coordinates. Surface Area. Triple Integrals.
Moments and Center of Mass. Cylindrical Coordinates. Spherical Coordinates. Change of Variables and Jacobians. Review Exercises.
18. VECTOR CALCULUS.
Vector Fields. Line Integrals. Independence of Path. Green’s Theorem. Surface Integrals. The Divergence Theorem. Stoke’s Theorem. Review Exercises.
19. DIFFERENTIAL EQUATIONS.
Seperable Differential Equations. First-Order Linear Differential Equations. Second-Order Linear Differential Equations. Nonhomogeneous Linear Differential Equations. Vibrations. Series Solutions. Review Exercises.
Appendices I: Mathematical Induction.
Appendices II: Theorems on Limits and Integrals.
Appendices III: Tables.
Appendices IV: Table Of Integrals.
Answers To Odd-Numbered Exercises.
Index.