Infinite Integrals  

 

These occur when the limits of integration or

the integrand become infinite.

 

·       Limits of integration become infinite:-

 

 

     

 

 

If the limit exists  the integral is convergent.

Otherwise, it is divergent.

 

Examples

 

 

  

 

  

 

 

·       The integrand becomes infinite:-

 

 

 

Examples

 

Infinite Endpoint

 

 

 

 

  

 

 

 

Infinite point within the integrand.

 

Example

 

 

 

 

 

Clearly, the function is undefined at x=-2

The interval must be split and inspected.