7.2 Trigonometric Integrals

週次課程內容課程影音
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課程介紹線上觀看
第一章 Functions and Models
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms
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第二章 Limits and derivatives
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
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2.4 The Precise Definition of a Limit線上觀看
2.5 Continuity線上觀看
2.6 Limits at Infinity, Horizontal Asymptotes線上觀看
2.7 Derivatives and Rates of Change
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2.8 The Derivative as a Function線上觀看
第三章 Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions
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3.2 The Product and Quotient Rules線上觀看
3.3 Derivatives of Trigonometric Functions線上觀看
3.4 The Chain Rule
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3.5 Implicit Differentiation線上觀看
3.6 Derivatives of Logarithmic Functions線上觀看
3.9 Related Rates線上觀看
3.10 Linear Approximations and Differentials線上觀看
第四章 Applications of Differentiation
4.1 Maximum and Minimum Values
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4.2 The Mean Value Theorem線上觀看
4.3 How Derivatives Affect the Shape of a Graph
4.5 Summary of Curve Sketching
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4.4 Indeterminate Forms and L’Hospital’s Rule線上觀看
4.7 Optimization Problems線上觀看
4.9 Antiderivatives線上觀看
第五章 Integrals
5.1 Areas and Distances
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5.2 The Definite Integral線上觀看
5.3 The Fundamental Theorem of Calculus線上觀看
5.4 Indefinite Integrals and the Net Change Theorem線上觀看
5.5 The Substitution Rule線上觀看
第六章 Applications of Integration
6.1 Areas between Curves
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6.2 Volumes
6.3 Volumes by Cylindrical Shells
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6.5 Average Value of a Function線上觀看
第七章 Techniques of Integration
7.1 Integration by Parts
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7.2 Trigonometric Integrals線上觀看
7.3 Trigonometric Substitution線上觀看
7.4 Integration of Rational Functions by Partial Fractions線上觀看
7.7 Approximate Integration線上觀看
7.8 Improper Integrals線上觀看
第八章 Further Applications of Integration
8.1 Arc Length
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8.2 Area of a Surface of Revolution線上觀看
8.5 Probability線上觀看
第十章 Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
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10.2 Calculus with Parametric Curves線上觀看