If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.

Using definite integral to solve a word problem about the growth in the population of a town.

Very nice tutorial explaining integration by parts in calculus. The tutorial explains the formula in detail and then has links to online examples the student can work.

A thorough explanation of line integration and how to represent force fields, include graphs and diagrams for visual reference and examples.

Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.

College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.

This site is a tutorial on the definite integral.

The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.

Learn about the life and work of Gottfried Leibniz, and find out how he remains one of the greatest and most influential metaphysicians, thinkers, and logicians in history.