Question:medium
The value of \( \int_{\pi/10}^{2\pi/5} \frac{\cot^3 x}{1+\cot^3 x}\,dx \) is equal to
The value of \( \int_{\pi/10}^{2\pi/5} \frac{\cot^3 x}{1+\cot^3 x}\,dx \) is equal to
Show Hint
Look for symmetry or complementary integrals to simplify definite integrals.
Updated On: Apr 21, 2026
- \( \frac{\pi}{20} \)
- \( \frac{\pi}{10} \)
- \( \frac{3\pi}{20} \)
- \( \frac{\pi}{5} \)
- \( \frac{\pi}{4} \)
Show Solution
The Correct Option is C
Solution and Explanation
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