Applications

If you wish to simultaneously follow another text on applications in a separate window, click here for Methods Survey and here for Solved Problems.

We cover the following applications:

• Average of a function.
• Area of a planar region.
• Curve length.
• Volume of a solid of revolution.
• Surface of a solid of revolution.
• Mass and centre of gravity for planar regions and solids of rotation.
• Derivative of an integral.
• Gamma and Beta functions.
• More on volume.

Here we will deduce the necessary formulas and show simple examples. In Methods Survey - Applications we will summarize the formulas, show some examples and introduce some useful tricks.