If _ -a ^0(|x|+|x-2|)dx=22, (a 2) and [x] denotes the greatest integer x, then _a^ -a (x+[x])dx is equal to...

Question

If _ -a ^0(|x|+|x-2|)dx=22, (a > 2) and [x] denotes the greatest integer x, then _a^ -a (x+[x])dx is equal to ———

Accepted Answer

3

JEE Main 2021 Mathematics question