Module 7 : Applications of Integration - I
Lecture 21 : Area between two curves [Section 21.2]
 

     
Hence,
     
21.2.4 Note:
 

A variation of the definition 21.2.1 is the following: Let
      
be Riemann integrable with
      
Then the area bounded by the graphs of between the lines is given by
       
 
21.2.5 Examples:
(i)

Let us determine the area of the plane region bounded by the parabolas

 

      .
For this, we first find the points of intersections of the two curves, which are given by
      
1
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