If `l_1=int_1^x x sin x.e^sin dx and l_2=int_0^(pi/2) cos x.e^sin dx,` then the value of `[I_1/I_2]` is (where [.] denotes 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)

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

int_0^(pi//2) cos x e^(sin x) dx is :

The value of I = int_(-1)^(1)[x sin(pix)]dx is (where [.] denotes the greatest integer function)

The value of I = int_(-1)^(1)[x sin(pix)]dx is (where [.] denotes the greatest integer function)

The value of int_(0)^(100)sin(x-[x])pi dx is Here [.] denotes greatest integer function

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

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

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