JEE Main 2024 Mathematics question
Let and h(x) = f(|x|) + |f(x)|. Then is equal to-
Answer: (A)
Solution
For −2 ≤ x < 0, h = (|x| − 2) + 2 = −x; for 0 < x ≤ 2, h = (x − 2) + (2 − x) = 0. The integral is ∫₋₂⁰(−x)dx = 2.
Let and h(x) = f(|x|) + |f(x)|. Then is equal to-
For −2 ≤ x < 0, h = (|x| − 2) + 2 = −x; for 0 < x ≤ 2, h = (x − 2) + (2 − x) = 0. The integral is ∫₋₂⁰(−x)dx = 2.