eMath 10 premium

$20.00

Category: Tag:

Description

eMath 10: Integral Calculus

CURRENT OFFER: Get 4f Studio Student Edition subscription for free with book purchase, valid 12 months from purchase!
Description
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.
You can easily write mathematics on the computer with the 4f Studio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions. When your are finished, you can let the computer automatically check your assignments. The automatic checker sends each step in the derivation to an automatic theorem prover. If each step in the derivation is proved correct, the derivation is correct. The checker warns when it was not able to prove a derivation step correct, so that you can inspect the step, see your mistakes easily and correct them. See 4f Checker for more details.
Each eMath Premium book includes:
  • eMath textbook with
    • 300-400 assignments + answers, in three levels of complexity
    • Numerous example solutions
    • Possibility to add comments and highlight text
  • Automatic checking feature for immediate feedback on your solutions, 200 checkings/book
  • Numerical and symbolical calculator

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