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.

Example

  
 

Example

  

 

The integrand becomes infinite:-

 

 

 

Infinite Endpoint

Example

  

Infinite point within the integrand.

Example

Clearly, the function is undefined at x=-2
The interval must be split and inspected.