Home
Class 12
MATHS
If f(x) = min({x}, {-x}) x in R, where ...

If `f(x) = min({x}, {-x}) x in R`, where {x} denotes the fractional part of x, then `int_(-100)^(100)f(x)dx` is

Promotional Banner

Similar Questions

Explore conceptually related problems

int_(a)^(b) f(x) dx =

Find the domain of f(x) = sqrt (|x|-{x}) (where {*} denots the fractional part of x).

Find the period f(x)=sinx+{x}, where {x} is the fractional part of xdot

If f^(prime)(x)=|x|-{x}, where {x} denotes the fractional part of x , then f(x) is decreasing in (-1/2,0) (b) (-1/2,2) (-1/2,2) (d) (1/2,oo)

lim_(x to 0) {(1+x)^((2)/(x))} (where {.} denotes the fractional part of x) is equal to

If f(x) is even then int_(-a)^(a)f(x)dx ….

int_1^4 (x-0.4)dx equals (where {x} is a fractional part of (x)

Let f(x) = x-[x] , for every real number x, where [x] is integral part of x. Then int_(-1) ^1 f(x) dx is

lim_(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional part of x is equal to

Draw the graph of f(x) ={2x} , where {*} represents the fractional part function.