The value of int(0)^(pi)[2sinx]dx, where...

The value of `int_(0)^(pi)[2sinx]dx`, where `[**]` denoted the greatest integer function, is a)`pi/3` b)`(2pi)/(3)` c)`pi/6` d)None of these

A

`pi/3`

B

`(2pi)/(3)`

C

`pi/6`

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Evaluate int_(1)^(e^(6))[(logx)/(3)]dx , where [**] denotes the greatest integer function.

The value of int_((-pi)/2)^(pi/2) cosxdx

The period of the function f(x) = [6x + 7] + cos pix - 6x , where [.] denotes the greatest integer function, is a)3 b) 2pi c)2 d)none of these

Evaluate int_(0)^(16pi//3)|sinx|dx .

Evaluate int_(0)^(pi)(dx)/(1+sinx) .

Evaluate int_(0)^(pi//2)|sinx-cosx|dx .

Evaluate int_(-pi//2)^(pi//2)|sinx|dx .

Evaluate int_(-pi/4)^(pi/4) sin^2 x dx