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CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Q101 Markstrigonometric_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Question 10 (Integrals)

Evaluate \(\int dx/\sqrt{1+\cos2x}\) on an interval where \(\cos x>0\).

✅ Step-by-Step Solution

Final Answer: ln |sec x+tan x|/√2+C
  1. The denominator is √2|cos x|. On the specified interval integrate sec x/√2. On intervals with cos x<0 the antiderivative changes sign.

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