int0^(sqrt(pi/2))[[x^2]+cosx]dx (where [...

`int_0^(sqrt(pi/2))[[x^2]+cosx]dx` (where [.] denotes greatest integer function)

A

`1-sqrt(pi/2)`

B

`sqrt(pi/2)`

C

`1+sqrt(pi/2)`

D

`sqrt(pi/2)-1`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

int_(0)^(4)x [x] dx= ( where [.] denotes greatest integer function

The value of the integral I=int_(0)^(pi)[|sinx|+|cosx|]dx, (where [.] denotes the greatest integer function) is equal to

Value of int_(0)^(2 pi)[sin2x(1+cos3x)]dx (where [.] denotes greatest integer fucntion)

Evaluate: int_(0)^((5 pi)/(12))[tan x]dx, where [.] denotes the greatest integer function.

The value of int_(0)^(sqrt(2)) [ x^(2)] dx where [*] is the greatest integer function

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

What is int_(0)^(sqrt(2))[x^(2)] dx equal to (where [.] is the greatest integer function ) ?

The value of (1)/(pi)int_(2 pi)^(0)[sqrt(2)sin x]dx where [.] denotes greatest integer function is

Evaluate: int_((pi)/(2))^(2 pi)[cot^(-1)]dx, where [.] denotes the greatest integer function