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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

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

Grade:12

1 Answers

Vijay Luxmi Askiitiansexpert
357 Points
14 years ago


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.

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