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CBSE Class 12 Mathematics 2026 Main Paper 65/1/3 · Q121 Marksintegrals

CBSE Class 12 Mathematics 2026 Main Paper 65/1/3 · Question 12 (Integrals)

If ∫ (3ax)/(b² + c²x²) dx = A log| b² + c²x² | + K, then the value of A is

✅ Step-by-Step Solution

Final Answer: (D) 3a/(2c²)
  1. Differentiate RHS: A · (2c²x)/(b²+c²x²) = (3ax)/(b²+c²x²).
  2. So 2A c² = 3a ⇒ A = 3a/(2c²).

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