For a real number x, define [x] to be the smallest integer greater than or equal to x. ThenCorrect answer is '3'. Can you explain this answer?

Question

Answer

In the interval (0,1) the value of [x] is 1 . so if you put that value and do the integration you get answer 1. same for[y] and [z].
if you want to plot that function [x] you can use Google calculator, which is available online. hope it helps you.

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