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If , then…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
d
x
x
2
(
x
n
+
1
)
(
n
−
1
)
/
n
=
−
[
f
(
x
)
]
1
/
n
+
c
\int \frac{dx}{x^2 (x^n + 1)^{(n-1)/n}} = -[f(x)]^{1/n} + c
∫
x
2
(
x
n
+
1
)
(
n
−
1
)
/
n
d
x
=
−
[
f
(
x
)
]
1/
n
+
c
, then
f
(
x
)
f(x)
f
(
x
)
is (a)
(
1
+
x
n
)
(1 + x^n)
(
1
+
x
n
)
(b)
1
+
x
−
n
1 + x^{-n}
1
+
x
−
n
(c)
x
n
+
x
−
n
x^n + x^{-n}
x
n
+
x
−
n
(d) none of these
Related theory
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