Let `f(x) =int_0^1|x-t|dt`, then

Let f(x) =int_0^1|x-t|t dt , then A. f(x) is continuous but not differentiable for all x in R B. f(x) is continuous and differentiable for all x in R C. f(x) is continuous for x in R-{(1)/(2)} and f(x) is differentiable for x in R - {(1)/(4),(1)/(2)} D. None of these

Let f(x)=int_(0)^(1)|x-t|dt, then

let f(x)={( int_0^x|1-t|dt, xgt1),(x-1/2, xle1):} then

Let f(x)={{:(int_(0)^(x)|1-t|dt",",x gt1),(x-(1)/(2)",",xle1):} Then

Let f(x)={{:(int_(0)^(x)|1-t|dt,"where "xgt1),(x-(1)/(2),"where "xle1):} , then

Let g(x) = int_0^(x) f(t) dt , where 1/2 le f(t) < 1, t in [0,1] and 0 < f(t) le 1/2 "for" t in[1,2] . Then :

If int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

Let f(x)=int_0^xe^t(t-1)(t-2)dt , Then f decreases in the interval

f(x)=int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is