Course Content
1 Integration 5
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1.1 Approximating Areas 6
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1.2 The Definite Integral 24
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1.3 The Fundamental Theorem of Calculus 40
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1.4 Integration Formulas and the Net Change Theorem 56
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1.5 Substitution 74
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1.6 Integrals Involving Exponential and Logarithmic Functions 83
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1.7 Integrals Resulting in Inverse Trigonometric Functions 94 Chapter Review 101
2 Applications of Integration 107
3 Techniques of Integration 231
4 Introduction to Differential Equations 307
5 Sequences and Series 373
6 Power Series 469
7 Parametric Equations and Polar Coordinates 535
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Sunil Payal
