Home
Class 12
MATHS
If [x] is the greatest integer function ...

If [x] is the greatest integer function not greater than x , then `int_(0)^(11) [x] dx` =

A

45

B

66

C

35

D

55

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

int_(-a)^(a) |x|/x dx =

Let [cdot] denote the greatest integer function, then the value of int_(0)^(1.5)x [x^2] dx is :

If [x] denote the greatest integer function , then , int_(0)^(pi//6) (1 - cos 2x)/(1 + cos 2x) d(x - [x]) =

If [x] denotes the greatest integer function, then : ""_(2)^(4)([x] - 1)([x] -2)([x] - 3)([x] - 4)dx =

Prove that the greatest function, f: R to R , defined by f(x) = [x] , where [x] indicates the greatest integer not greater than x, neither one-one nor onto.

If f(x) = sin[pi^(2)]x + cos [-pi^(2)]x then f'(x) is here [pi^(2)] and [-pi^(2)] greatest integer function not greater than its value

Prove that the greatest integer function f : R to R defined by f(x) = [x] , where [x] indicates the greatest integer not greater than x, is neither one-one nor onto.

If [.] stands for the greatest integr function, int_1^(2)[3x]dx =

If [x] represents the greatest integer function and f(x)=x-[x]-cos x" then "f^(1)(pi/2)=