The value of denotes the greatest integer not exceeding is
As learnt in concept
Fundamental Properties of Definite integration -
If the function is continuous in (a, b ) then integration of a function a to b will be same as the sum of integrals of the same function from a to c and c to b.
- wherein
has to be split into integral limits.
=
=
Terms start cancelling out,
We get,
=
Option 1)
This option is incorrect
Option 2)
This option is correct
Option 3)
This option is incorrect
Option 4)
This option is incorrect
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