JEE Main 2022 Mathematics question

For any real number x, let [x] denote the largest integer less than or equal to x. Let f be a real valued function defined on the interval [−10, 10] by f(x) = x − [x] if [x] is odd, and f(x) = 1 + [x] − x if [x] is even. Then the value of f(x) dx is :

• (1)4Correct
• (2)2
• (3)1
• (4)0