Definite Integrals Part 3

Section: Mathematics
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Question : 9 of 115
 
Marks: +1, -0
Let [.] be the greatest integer function. If α=
64
∫
0
(x1∕3−[x1∕3])‌dx
, then ‌
1
Ï€
‌
απ
∫
0
(‌
sin‌2θ
sin‌6θ+cos6θ
)
d
θ
is equal to ____ .
[22 Jan 2026 Shift 2]
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