Question
The value of the integral _ 24 ^ 5 24 ~d x 1+ [3] 2 x is :
JEE Main
Mathematics
Definite Integration
2026
JEE Main 2026 (23 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 3
- B. 12
- C. 18
- D. 6
Answer
B. 12
Step-by-step solution
Let I = _ /24 ^ 5 /24 dx 1+ [3] 2x . Apply King's rule (x /4 - x): I = _ /24 ^ 5 /24 dx 1+ [3] 2x = _ /24 ^ 5 /24 [3] 2x 1+ [3] 2x dx. Adding: 2I = _ /24 ^ 5 /24 dx = 5 24 - 24 = 6 . I = 12 .
Related: Mathematics — Definite Integration · All PYQ Banks