CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Q101 Markstrigonometric_integrals
CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Question 10 (Integrals)
Evaluate \(\int\sqrt{(1+\cos x)/(1-\cos x)}\,dx\) where \(\cot(x/2)>0\).
✅ Step-by-Step Solution
Final Answer: 2 ln |sin(x/2)|+C
- The square root is |cot(x/2)|. In the specified region it equals cot(x/2), whose primitive is 2 ln |sin(x/2)|. Reverse the sign on intervals where cot(x/2)<0.
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