raul rag ur soln is clearly wrong

 {x} cant be neglected

cmon raul rag

find

 

_{[ 0]}^{[1/2 ]} {x}

its 1/8 not zero!!!!!!!!

simlarly if limits are 0 and 1 its 1/2!!!!!

Definite integral basically represents area under graph.

So accordin 2 u area under fractional part of x graph is zero which is

definitely wrong.

You shud be now able 2 figure out da mistake by urself