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Mathematics
Problem
The value of
∫
1
e
(
2
−
ln
x
)
−
5
3
(
2
x
3
+
x
3
ln
x
)
1
3
d
x
\int_{1}^{e} \frac{(2 - \ln x)^{-\frac{5}{3}}}{(2x^3 + x^3 \ln x)^{\frac{1}{3}}} dx
∫
1
e
(
2
x
3
+
x
3
l
n
x
)
3
1
(
2
−
l
n
x
)
−
3
5
d
x
is (1)
3
4
\frac{3}{4}
4
3
(2)
3
4
(
9
3
−
1
)
\frac{3}{4}(\sqrt[3]{9} - 1)
4
3
(
3
9
−
1
)
(3)
3
8
(
9
3
−
1
)
\frac{3}{8}(\sqrt[3]{9} - 1)
8
3
(
3
9
−
1
)
(4)
3
8
(
27
3
−
1
)
\frac{3}{8}(\sqrt[3]{27} - 1)
8
3
(
3
27
−
1
)
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