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Mathematics
Problem
The greatest integer less than or equal to
∫
1
2
log
2
(
x
3
+
1
)
d
x
+
∫
1
log
2
9
(
2
x
−
1
)
1
3
d
x
\int_{1}^{2} \log_{2}(x^{3}+1) dx + \int_{1}^{\log_{2} 9} (2^{x}-1)^{\frac{1}{3}} dx
∫
1
2
lo
g
2
(
x
3
+
1
)
d
x
+
∫
1
l
o
g
2
9
(
2
x
−
1
)
3
1
d
x
is ________. [JEE-Advanced 2022]
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