CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q141 Markssubstitution
CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 14 (Integrals)
Evaluate \(\int\frac{\cos x}{\sqrt{1+\sin^2 x}}\,dx\).
✅ Step-by-Step Solution
Final Answer: ln |sin x+√(1+sin²x)|+C
- Set u=sin x to get ∫du/√(1+u²). The standard logarithmic primitive gives ln |u+√(1+u²)|+C.
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