Home
Class 12
MATHS
For any real number x ,l e t[x] denote t...

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____`

Promotional Banner

Similar Questions

Explore conceptually related problems

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____

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____

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____

For any real number x, let [x] denote the largest less than or equal to x. Let f be a real valued function defined on the interval [-10, 10] by f(x) = {(x-[x]",","if [x] is odd"),(1+[x]-x",","if [x] is even"):} Show that int_(-10)^(10) f(x) cos pi dx = 4

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, 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

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