sir plz explain how to proceed on a definite integral when the given function is [f(x)] [ ] denotes greatest integer......plz give an exprssion such trignometric or qaudratic to show how u did it

Hi Abhishek,

    Look at the below question,

   Q)             

    Now here, x varies from 0 to ¶/4.

         
      . ·.    [sin x] = 0.

    Hence, our integral reduces to –

  This was a very simple example. But the main idea remains the same.