CUET · MATHS · PYQ PAPER 2025
Value of \(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \log (\tan x) d x\) is
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{12}\)
- C 0
- D \(\pi\)
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
\(I = \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \log (\tan x) d x\) \(I = \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \log (\tan (\frac{\pi}{6} + \frac{\pi}{3} - x)) d x\) \(I = \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \log (\tan (\frac{\pi}{2} - x)) d x\)…
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