Applications of Integration

 

 

 

Contents

  

Definite Integrals

  

Area Under a Curve

 

Area Bounded by 2 Curves

 

Volumes of Revolution

    

Quiz

  

Calculus Main Page

Area Under a Curve

 
The definite integral actually represents the area bounded by the curve and corresponding axis.
 
 
 
 
 
If the curve lies in the negative part of the axis, the definite integral will be negative.
 
                                                                   
                                                                 
                                                                 
 
 
Find the area bounded by the curve y = e2x, the x-axis and the lines x = 1 and x = 2.
                                               
 
Solution:
                            
Required Area =
                  
 
Find the area bounded by the curve y = x2, x>0, the y-axis and the lines y = 1 and y = 4.
 
Solution:
                            
Required Area =