ABSTRACT
This chapter discusses the applications of integration in science and engineering. It describes the concepts of mean values and root mean square values by using a practical example of passage of an alternating current through a resistor. From a study of engineering and science it is well known that an object can be made to balance about a specific point. A dinner knife will balance about a point on the handle, or a billiard cue about a point near the thick end. This specific point is called the centre of gravity. Centroids are used in conjunction with flat areas. The chapter discuses centroids of more complicated areas and the centroid of a triangle. It describes the Pappus’ theorems and provides information on the application of Pappus’ theorems. The chapter also discusses the perpendicular axes theorem and the parallel axes theorem.
