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Mathematics
Mathematics
Problem
For any natural number
m
m
m
, evaluate
∫
(
x
3
m
+
x
2
m
+
x
m
)
(
2
x
2
m
+
3
x
m
+
6
)
1
/
m
d
x
,
x
>
0
\int (x^{3m} + x^{2m} + x^m)(2x^{2m} + 3x^m + 6)^{1/m} dx, x > 0
∫
(
x
3
m
+
x
2
m
+
x
m
)
(
2
x
2
m
+
3
x
m
+
6
)
1/
m
d
x
,
x
>
0
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