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Indefinite Integrals |
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Properties of Integrals |
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Definite Integral |
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1 - 3 Examples | Indefinite Integrals |
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4 - 6 Examples | Indefinite Integrals |
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Chapter 2 - Fundamental Integration Formulas |
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The General Power Formula | Fundamental Integration Formulas |
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Logarithmic Functions | Fundamental Integration Formulas |
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Exponential Functions | Fundamental Integration Formulas |
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Trigonometric Functions | Fundamental Integration Formulas |
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Inverse Trigonometric Functions | Fundamental Integration Formulas |
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Chapter 3 - Techniques of Integration |
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Integration by Parts | Techniques of Integration |
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Integration by Substitution | Techniques of Integration |
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Algebraic Substitution | Integration by Substitution |
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Problem 1: Evaluate $\displaystyle \int \dfrac{(8x + 1) \, dx}{\sqrt{4x - 3}}$ by Algebraic Substitution |
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Trigonometric Substitution | Techniques of Integration |
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Integration of Rational Fractions | Techniques of Integration |
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Chapter 4 - Applications of Integration |
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Plane Areas in Rectangular Coordinates | Applications of Integration |
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Example 1 | Plane Areas in Rectangular Coordinates |
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Plane Areas in Polar Coordinates | Applications of Integration |
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Volumes of Solids of Revolution | Applications of Integration |
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Example 2 | Plane Areas in Rectangular Coordinates |
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Example 3 | Plane Areas in Rectangular Coordinates |
