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CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q11 Markstrigonometric_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 1 (Integrals)

Evaluate \(\int\frac{dx}{1+\cos x}\).

(A) (1/2)tan(x/2)+C
(B) −(1/2)cot(x/2)+C
(C) −cot(x/2)+C
(D) tan(x/2)+C

✅ Step-by-Step Solution

Final Answer: tan(x/2)+C

Use 1+cos x=2 cos²(x/2), so the integrand is (1/2) sec²(x/2), the derivative of tan(x/2).

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