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CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q111 Marksdefinite_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 11 (Integrals)

If \(\int_0^1 dx/(e^x+e^{-x})=\tan^{-1}e+k\), find k.

✅ Step-by-Step Solution

Final Answer: −π/4
  1. Set u=eˣ. The integral becomes arctan(e)−arctan(1), so k=−π/4.

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