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Mathematics
Problem
∫
d
x
x
(
x
5
+
1
)
=
\int \frac{dx}{x(x^5+1)} =
∫
x
(
x
5
+
1
)
d
x
=
(a)
1
5
log
x
5
(
x
5
+
1
)
+
c
\frac{1}{5} \log x^5(x^5+1) + c
5
1
lo
g
x
5
(
x
5
+
1
)
+
c
(b)
1
5
log
x
5
(
1
+
x
5
x
5
)
+
c
\frac{1}{5} \log x^5 \left( \frac{1+x^5}{x^5} \right) + c
5
1
lo
g
x
5
(
x
5
1
+
x
5
)
+
c
(c)
1
5
log
x
5
(
x
5
x
5
+
1
)
+
c
\frac{1}{5} \log x^5 \left( \frac{x^5}{x^5+1} \right) + c
5
1
lo
g
x
5
(
x
5
+
1
x
5
)
+
c
(d) None of these (a)
1
5
log
x
5
(
x
5
+
1
)
+
c
\frac{1}{5} \log x^5(x^5+1) + c
5
1
lo
g
x
5
(
x
5
+
1
)
+
c
(b)
1
5
log
x
5
(
1
+
x
5
x
5
)
+
c
\frac{1}{5} \log x^5 \left( \frac{1+x^5}{x^5} \right) + c
5
1
lo
g
x
5
(
x
5
1
+
x
5
)
+
c
(c)
1
5
log
x
5
(
x
5
x
5
+
1
)
+
c
\frac{1}{5} \log x^5 \left( \frac{x^5}{x^5+1} \right) + c
5
1
lo
g
x
5
(
x
5
+
1
x
5
)
+
c
(d) None of these
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