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eMath 10: Integral Calculus

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The ebooks are structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book.
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Overview: This book shows how to define integrals as the inverse of derivatives. It introduces the notion of a definite integral, and shows how to use this in area calculations. Definite integrals are then used to also calculate volumes of solids.

Table of contents:

1 Preface
2 Antiderivatives
2.1 Antiderivatives
2.2 Integration of Power Functions
2.3 Integrating Compound Functions
2.4 Integrating Rational Functions
3 Definite Integrals
3.1 Area
3.2 Calculating Definite Integrals
3.3 The Geometric Area Using a Definite Integral
3.4 The Area between Two Curves
4 Volume and Definite Integrals
4.1 The Volume Using a Definite Integral
4.2 Solids of Revolution