Let [ ] be the greatest integer function. If = _0^ 64 (x^ 1/3 -[x^ 1/3 ] )dx, then 1 _0^ ( ^2 ^6 + ^6 )d is...

Question

Let [ ] be the greatest integer function. If = _0^ 64 (x^ 1/3 -[x^ 1/3 ] )dx, then 1 _0^ ( ^2 ^6 + ^6 )d is equal to ____ .

Accepted Answer

36

JEE Main 2026 Mathematics question