For a real number x let [x] denote the largest integer less than or equal to x and `{x}=x-[x]` Let n be a positive integer. Then `int_0^n cos(2pi)[x]{x})dx` is equal to

For a real number x let [x] denote the largest integer less than or equal to x and {x}=x-[x] . The possible integer value of n for which int_(1)^(n)[x]{x}dx exceeds 2013 is

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. If f(x) =[x sin pi x] , then f(x) is

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

If [x] denotes the greatest integer less than or equal to x , then find the value of the integral int_0^2x^2[x]dxdot

If [x] denotes the greatest integer less than or equal to x , then find the value of the integral int_0^2x^2[x]dxdot

For any real number x , [x] denotes the largest integer less than or equal to and {x}=x-[x] The number of real solutions of 7[x]+23{x}=191 is (A) 0 (B) 1 (c) 2 (D) 3

For a real number x, let [x] denote the greatest integer less than or equal to x. Let f: R -> R be defined as f(x)= 2x + [x]+ sin x cos x then f is

Let f(x)=[x]+[-x] , where [x] denotes the greastest integer less than or equal to x . Then, for any integer m

For any real number x , let [x] denote the largest integer less than or equal to x , Let f be a real-valued function defined on the interval [-10 , 10] be f(x)={x-[x], if [x] is odd, 1+[x]-x ,if[x] is even Then the value of (pi^2)/(10)int_(-10)^(10)f(x)cospixdx is____