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CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q91 Marksdefinite_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 9 (Integrals)

If \(\int_0^{2a}\frac{dx}{1+4x^2}=\frac{\pi}{6}\), find a.

✅ Step-by-Step Solution

Final Answer: √3/4
  1. The integral is (1/2) arctan(4a). Hence 4a=tan(π/3)=√3.

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