Engineering

## Topics in Integral Calculus

The book has been thoroughly revised, recast at some place and brought up to date. Older examples of lesser importance have been deleted or in a few cases replaced by modern examples of greater importance. It is hoped that the book, in its present form will be found more useful to the examinees for whom it is meant.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-81-318-0002-7
• Chapter 1

### Contents

The document contains the contents.

• Chapter 2

### Preface

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• Chapter 3

### Important Results and Formulae

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• Chapter 4

### Chapter 1 - Integrals Price 0.11  |  0.11 Rewards Points

"Integral Calculus is the inverse (i.e., opposite) of Differential Calculus."
The primary problem of Differential Calculus is :
Given a function ; to find its differential coefficient.
But the primary problem of Integral Calculus is the
Converse : Given the differential coefficient of a function ; to form the function.

• Chapter 5

### Chapter 2 - Integration by Substitution Price 0.11  |  0.11 Rewards Points

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• Chapter 6

### Chapter 3 - Integration by Parts Price 0.11  |  0.11 Rewards Points

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• Chapter 7

### Chapter 4 - Integration of Rational Algebraic Functions Price 0.11  |  0.11 Rewards Points

A polynomial in x is a function of the form
a~ + a1xn-1 + azcn-2 + ... + an,
where a0, al' a 2, ••• , an are constants, and n is a positive integer

• Chapter 8

### Chapter 5 - Integration of Irrational Algebraic Functions Price 0.11  |  0.11 Rewards Points

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• Chapter 9

### Chapter 6 - Integration of Trigonometric Functions Price 0.11  |  0.11 Rewards Points

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• Chapter 10

### Chapter 7 - Reduction Formulae Price 0.11  |  0.11 Rewards Points

A reduction formula for an integral is a formula which connects the integral with one or two other integrals in which the integrand is of the same type but of lower degree or lower order.

• Chapter 11

### Chapter 8 - Definite Integrals Price 0.11  |  0.11 Rewards Points

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• Chapter 12

### Chapter 9 - Rectification and Intrinsic Equation Price 0.11  |  0.11 Rewards Points

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• Chapter 13

• Chapter 14

### Chapter 11 - Volume and Surface of a Solid of Revolution Price 0.11  |  0.11 Rewards Points

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• Chapter 15

### Chapter 12 - Differential Equations of the First Order and First Degree Price 0.11  |  0.11 Rewards Points

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• Chapter 16

### Chapter 13 - Linear Equations with Constant Coefficients Price 0.11  |  0.11 Rewards Points

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• Chapter 17