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_(1)^(-1)[x]dx=?

Let [x] denote the greatest integer less than or equal to x. Then the value of int_(1)^(2)|2x-[3x]|dx is ______

If [x] denotes the greatest integer less than or equal to x then int_(1)^(oo) [(1)/(1+x^(2))]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 f(x)=x[x], for every real number x , where [x] is the greatest integer less than or equal to x. Then,evaluate int_(-1)^(1)f(x)dx

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

Let [x] denotes the greatest integer less than or equal to x and f(x)=[tan^(2)x] . Then

Let f(x)=x-[x] , for every real x, where [x] is the greatest integer less than or equal to x. Then, int_(-1)^(1)f(x)dx is :

Let [x] denote the greatest integer less than or equal to x. If x=(sqrt(3)+1)^(5), then [x] is equal to