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Jee Main 2025 — Medium JEE math MCQ

The integral \( 80 \int_0^\pi \left( \frac{\sin \theta + \cos \theta}{9 + 16 \sin 2\theta} \right) d\theta \) is equal to
  1. A. 3 \log_e 4
  2. B. 4 \log_e 3
  3. C. 6 \log_e 4
  4. D. 2 \log_e 3

Solution

The correct option is **B**. (B. 4 \log_e 3)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The integral 80∫0π(sin⁡θ+cos⁡θ9+16sin⁡2θ)dθ 80 \int_0^\pi \left( \frac{\sin \theta + \cos \theta}{9 + 16 \sin 2\theta} \right) d\theta is equal to
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