Download - Chapter 5 (Integration)
![Page 1: Chapter 5 (Integration)](https://reader033.vdocument.in/reader033/viewer/2022061611/563db7de550346aa9a8ebaee/html5/thumbnails/1.jpg)
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Example
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Solution (Upper Sum)
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Lower Sum
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Mid point Rule
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Summary
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Sigma Notation
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Examples
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Example
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Algebra Rules for Summation
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Some useful Formulae
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Riemann Sum
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Norm of partition P
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Example
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Definite Integral
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Dummy Variable
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Existence of Definite Integral
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Rules obeyed by Definite Integrals
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Example
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Integral as Area Under the Curve
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Some tips
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Average Value of a Function
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Exercise 5.3
27 – 62 - odd
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Fundamental Theorem of Calculus (Part – 1)
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Fundamental Theorem of Calculus (Part – 2)
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Fundamental Theorem of Calculus
Exercise 5.4
37 – 46 - odd
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Indefinite Integral and Substitution Rule
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The power Rule in Integral Form
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Examples
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Steps for Substitution Rule
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Examples
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Using different Substitutions
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The integrals of Sin2x and Cos2x
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Area under the curve y = Sin2x
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Assignment # 5.
Exercise 5.5(1 – 54 odd)
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Substitution and Area between Curves
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Substitution by two methods
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Example
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Theorem
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Integrating Even Function
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Area between intersecting curves
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Example
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Ex 5.6
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