For any real number x, let `[x]`= largest integer less than or equalto x. Let f be a real valued function defined on the interval`[-10,10]` by
Then, the value of `(pi/10)^2 (int_-10^10 f(x) cos pi x dx` is

For any real number x ,l e t[x] denote the largest integer less than or equal to x ,L e tf be a real-valued function defined on the interval [-10 , 10] be f(x)={x-[x],if[x]i sod d1+[x]-x ,if[x]i se v e n Then the value of (pi^2)/(10)int_(-1)^(10)f(x)cospixdxi s____

For any real number x, Let [x] denote the largest integer less than or equal to x. The value of 9 int_0^9 [sqrt frac{10x}{x 1}] dx

For a real number x let [x] denote the largest number less than or equal to x. For x in R let f (x)=[x] sin pix . Then

Let f(x) be a differentiable function in the interval (0, 2) then the value of int_(0)^(2)f(x)dx

Let f(x) be a differentiable function in the interval (0,2) , then the value of int_0^2 f(x) dx is :

For any real number x, let [x] denote the largest integer less than or equal to x. If int_0^10 [sqrt((10x)/(x+1))]dx then the value of 9I is

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

Let f and g be two real valued functions ,defined by f(x) =x ,g(x)=[x]. Then find the value of f+g