Question

$$ \int \frac{dx}{x(x^{10}+1)} = $$

• A. $\frac{1}{10} \log \left( \frac{x^{10}}{x^{10}+1} \right) + c$
• B. $\frac{1}{10} \log \left( \frac{x^{10}}{x^{10}-1} \right) + c$
• C. $\log \left( \frac{x^{10}}{x^{10}+1} \right) + c$
• D. None

Hint:

General shortcut: $\int \frac{dx}{x(x^n+1)} = \frac{1}{n} \log \left( \frac{x^n}{x^n+1} \right) + c$. This works for any positive integer $n$.

Answer 1

The Correct Option is A