Understanding the definite integral from first principles (optional viewing):

Introduction to basic integration:

More on integration (including fractional indices and trig functions):

The fundamental theorem of calculus – how to find definite integrals:

Integrating functions of the form (ax + b)^n by inspection:

How to integrate x^-1 and associated functions:

Volume of revolution about the x axis:

Volume of revolution about the y axis:

Find the area bounded by 2 graphs:

u substitution for integration

Trigonometric substitution for integration:

Integration by parts

Integration by parts twice: