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Methods of Integration I
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Methods of Integration I
by Daniel Ashlock, Steven G. Krantz
Fast Start Integral Calculus
Preface
Acknowledgments
Integration, Area, and Initial Value Problems
Anti-derivatives
The Fundamental Theorem (1/3)
The Fundamental Theorem (2/3)
The Fundamental Theorem (3/3)
Even and Odd Functions (1/2)
Even and Odd Functions (2/2)
Initial Value Problems (1/2)
Initial Value Problems (2/2)
Induction and Sums of Rectangles (1/2)
Induction and Sums of Rectangles (2/2)
Parametric, Polar, and Vector Functions
Parametric Functions
The Derivative of a Parametric Curve
Polar Coordinates (1/2)
Polar Coordinates (2/2)
Polar Calculus (1/2)
Polar Calculus (2/2)
Vector Functions (1/2)
Vector Functions (2/2)
Calculus with Vector Curves (1/2)
Calculus with Vector Curves (2/2)
The Arithmetic, Geometry, and Calculus of Polynomials
Polynomial Arithmetic
Qualitative Properties of Polynomials
Multiplicity of Roots
L'Hôpital's Rule; Strange Polynomials (1/2)
L'Hôpital's Rule; Strange Polynomials (2/2)
Strange Polynomials (1/2)
Strange Polynomials (2/2)
Methods of Integration I
u-Substitution
Substitution in Definite Integrals
Integration by Parts (1/2)
Integration by Parts (2/2)
Integrating Trig Functions (1/2)
Integrating Trig Functions (2/2)
Methods of Integration II
Trigonometric Substitution
Partial Fractions (1/3)
Partial Fractions (2/3)
Partial Fractions (3/3)
Practicing Integration
Useful Formulas
Powers, Logs, and Exponentials
Trigonometric Identities
Speed of Function Growth
Derivative Rules
Vector Arithmetic
Polar and Rectangular Conversion
Integral Rules
Author's Biography
Index
Blank Page (1/3)
Blank Page (2/3)
Blank Page (3/3)
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Strange Polynomials (2/2)
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