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Mathematics
Problem
The integral
∫
d
x
x
2
(
x
4
+
1
)
4
\int \frac{dx}{x^2(x^4 + 1)^4}
∫
x
2
(
x
4
+
1
)
4
d
x
equals [2015 JEE Main] a.
(
x
4
+
1
x
4
)
1
4
+
C
\left( \frac{x^4 + 1}{x^4} \right)^{\frac{1}{4}} + C
(
x
4
x
4
+
1
)
4
1
+
C
b.
(
x
4
+
1
)
1
4
+
C
(x^4 + 1)^{\frac{1}{4}} + C
(
x
4
+
1
)
4
1
+
C
c.
−
(
x
4
+
1
)
1
4
+
C
-(x^4 + 1)^{\frac{1}{4}} + C
−
(
x
4
+
1
)
4
1
+
C
d.
−
(
x
4
+
1
x
4
)
1
4
+
C
-\left( \frac{x^4 + 1}{x^4} \right)^{\frac{1}{4}} + C
−
(
x
4
x
4
+
1
)
4
1
+
C
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