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CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Q101 Markstrigonometric_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 10 (Integrals)

Find \(\int\sqrt{(1-\cos2x)/(1+\cos2x)}\,dx\) on an interval where tan x>0.

✅ Step-by-Step Solution

Final Answer: ln |sec x|+C
  1. The integrand is |tan x|. On the specified interval it is tan x, with primitive ln |sec x|. Where tan x<0, use ln |cos x| instead.

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