What is \(\mathop \smallint \nolimits_a^b \left[ x \right]dx + \mathop \smallint \nolimits_a^b \left[ { - x} \right]dx\) equal to, where [.] is the greatest integer function?

What is \(\mathop \smallint \nolimits_a^b \left[ x \right]dx + \mathop

1.	What is \(\mathop \smallint \nolimits_a^b \left[ x \right]dx + \mathop \smallint \nolimits_a^b \left[ { - x} \right]dx\) equal to, where [.] is the greatest integer function?
A.	b - a
B.	a - b and 0
C.	0
D.	2(b –a)
Answer» C. 0