# eMath 10 Integral Calculus (OPS03)

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## eMath 10: Integral Calculus

The e-book is 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. You can easily write mathematics on the computer with the eMathStudio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions.
Each eMath book includes:
• 300-400 assignments + answers, in three levels of complexity
• Numerous example solutions
• Possibility to check the correctness of the calculation

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.

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