Question
The value of _ - / 6 ^ / 6 ( +4 x^ 11 1- (|x|+ / 6) ) d x is equal to:
JEE Main
Mathematics
Definite Integration
2026
JEE Main 2026 (21 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 8
- B. 6
- C. 2
- D. 4
Answer
D. 4
Step-by-step solution
Split: _ - /6 ^ /6 1 - (|x| + /6) dx + _ - /6 ^ /6 4x^ 11 1 - (|x| + /6) dx. Second integral = 0 (odd function over symmetric interval). First integral: 2 _ 0 ^ /6 1 1 - (x + /6) dx. Let u = x + /6: = 2 _ /6 ^ /3 1 1 - u du. 1 1- u = ^2 u + u u. = 2 [ u + u]_ /6 ^ /3 = 2 [( 3 +2) - 3 ] = 4 .
Related: Mathematics — Definite Integration · All PYQ Banks