Example 3 Find the area under the curve y = e^x from x = 0 to x = 1 and above the x-axis.

Solution :

    

    

    

Example 4 Determine the area contained between the x-axis and the curve y = 1 + x² + 2 sin x, bound by line x = 0 and to the right of x = p

Solution :    Area is given by

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Index

8.1 Introduction
8.2 Area
8.3 Volumes
8.4 Mean Value
8.5 Arc Length(Rectification)

Chapter 1