What Is Calculus? Integration Rules and Examples

The second part of a two part introductory guide to calculus.

© Eugene Brennan

Calculus is a study of rates of change of functions and accumulation of infinitesimally small quantities. It can be broadly divided into two branches:

• Differential Calculus. This concerns rates of changes of quantities and slopes of curves or surfaces in 2D or multidimensional space.
• Integral Calculus. This involves summing infinitesimally small quantities.

What’s Covered in this Tutorial

In this second part of a two part tutorial, we cover:

1. Concept of integration
2. Definition of indefinite and definite integrals
3. Integrals of common functions
4. Rules of integrals and worked examples
5. Applications of integral calculus, volumes of solids, real world examples

You can read the first part of this tutorial here:
What Is Calculus? A Beginner’s Guide to Limits and Differentiation

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