∫110⌊x⌋{x} dx
If the value of definite integral above can be written as ba for coprime positive integers, find a+b.
Details and assumptions:
Every x∈R can be written as x=⌊x⌋+{x}.
⌊x⌋ denotes greatest integer less than or equal to x.
{x} is the fractional part of x.