CUET · MATHS · PYQ PAPER 2025
The value of \(\int_0^{\pi / 2} \frac{\tan ^7 x}{\cot ^7 x+\tan ^7 x} d x\) is
- A π/2
- B π/3
- C π/4
- D π/6
Answer & Solution
Correct Answer
(C) π/4
Step-by-step Solution
Detailed explanation
\(I = \int_0^{\pi / 2} \frac{\tan ^7 x}{\cot ^7 x+\tan ^7 x} d x\) \(I = \int_0^{\pi / 2} \frac{\tan ^7 (\pi/2-x)}{\cot ^7 (\pi/2-x)+\tan ^7 (\pi/2-x)} d x = \int_0^{\pi / 2} \frac{\cot ^7 x}{\tan ^7 x+\cot ^7 x} d x\)…
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