If `I=int_(0)^( pi)x(sin^(2)(sin x)+cos^(2)(cos x))dx`, then `[l]= (where) [.] denotes the greatest integer function

The value of the integral I=int_(0)^( pi/4)[sin x+cos x](cos x-sin x)dx is equal to (where,[.] denotes the greatest integer function)

int _(0) ^(2npi) (|sin x | - [|(sin x )/(2) | ]) dx is equal to (where [**] denotes the greatest integer function)

f(x)=2^(cos^(4)pi x+x-[x]+cos^(2)pi x), where [.] denotes the greatest integer function.

If I_(1)=int_(0)^( pi)x sin xe^(cos4x)dx , and I_(2)=int_(0)^( pi/2)cos xe^(cos4x)dx ,then the value of [(I_(1))/(I_(2))] is (where [.] denotes the greatest integer function)

int _(0)^(2) x ^(3) [1+ cos ""(pix)/(2)] dx is (where [**] denotes the greatest integer function)

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

Evaluate: int_(0)^(2 pi)[sin x]dx, where [.] denotes the greatest integer function.

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes th greatest integer function ), then

int_(0)^(2pi)[|sin x|+|cos x|]dx , where [.] denotes the greatest integer function, is equal to :