Let f(x)=min({x},{-x)AA epsilonR, where ...

Let `f(x)=min({x},{-x)AA epsilonR`, where {.} denotes the fractional part of `x`. Then `int_(-100)^(100) f(x)dx` is equal to

A

50

B

100

C

200

D

none of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

If {x} denotes the fractional part of x, then int_(0)^(x)({x}-(1)/(2)) dx is equal to

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

If {x} denotes the fractional part of x, then overset(2)underset(0)int{x} dx is equal to

f(x)=sqrt((x-1)/(x-2{x})) , where {*} denotes the fractional part.

Evaluate int_(0)^(2){x} d x , where {x} denotes the fractional part of x.

If {x} denotes the fractional part of x, then I = int _(0) ^(100) (sqrtx)dx, then the value of (9I)/(155) is:

If f(x)={x^2}-({x})^2, where (x) denotes the fractional part of x, then

int_(0)^(4) {sqrt(x)} is equal to, where {x} denotes the fraction part of x.

The range of f(x) =sin(sin^(-1){x}) . where { ·} denotes the fractional part of x, is