If `f(x)=min(|x|,1-|x|,1/4)AAx in R ,` then find the value of `int_(-1)^1f(x)dxdot`

Let f(x)=minimum{|x|,1-|x|,(1)/(4)} for x varepsilon R then the value of int_(-1)^(1)f(x)dx is equal to

If f(x)=min_(1){|x-1|,|x|,|x+1|, then the value of int_(-1)^(1)f(x)dx is equal to

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

If f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1] then the value of of int_(0)^(1)f(x)dx is

f(x)=x,x in Q and f(x)=1-x,x in R-Q Then find the value of [f(1)]+|(f(e))]|

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

A continuous real function f satisfies f(2x)=3(f(x)AA x in R. If int_(0)^(1)f(x)dx=1 then find the value of int_(1)^(2)f(x)dx

f(x)={[1-|x|,|x| 1' find the value of int_(-3)^(5)g(x)dx

Consider the function: f(x)=max.{1,|x-1|, min {4,|3x-1|}}AA x in R. Then find the value of f(3).