If [.] represent greatest integer less than or equal to x, then `int_0^2 (x+[x-2[x]])^([2x]) dx=`

If [x] denotes the greatest integer less than or equal to x then int_(1)^(oo) [(1)/(1+x^(2))]dx=

if [x] denotes the greatest integer less than or equal to x then integral int_0^2x^2[x] dx equals

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

Let [x] denote the greatest integer less than or equal to x , then int_0^(pi/4) sinx d(x-[x])= (A) 1/2 (B) 1-1/sqrt(2) (C) 1 (D) none of these

Let [x] denote the greatest integer less than or equal to x , then int_0^(pi/4) sinx d(x-[x])= (A) 1/2 (B) 1-1/sqrt(2) (C) 1 (D) none of these

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let f(x)=max. {x+|x|,x-[x]} , where [x] denotes the greatest integer less than or equal to x, then int_(-2)^(2) f(x) is equal to

Let f(x)=max. {x+|x|,x-[x]} , where [x] denotes the greatest integer less than or equal to x, then int_(-2)^(2) f(x) is equal to

If [x] denotes the greatest integer less than or equal to x then the value of int_(0)^(2)(|x-2|+[x])dx is equal to