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JEEMAIN-2016
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Q)
The integral
∫
2
x
12
+
5
x
9
(
x
2
+
x
3
+
1
)
3
d
x
is equal to
(
1
)
−
x
5
(
x
5
+
x
3
+
1
)
2
+
C
(
2
)
−
x
5
2
(
x
5
+
x
3
+
1
)
3
+
C
(
3
)
x
5
2
(
x
5
+
x
3
+
1
)
3
+
C
−
x
10
2
(
x
5
+
x
3
+
1
)
2
+
C
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