CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q81 Marksdefinite_integrals
CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 8 (Integrals)
If \(\int_0^1 dx/(e^x+e^{-x})=\tan^{-1}e+k\), find k.
✅ Step-by-Step Solution
Final Answer: −π/4
- Set u=eˣ. The integral becomes arctan(e)−arctan(1), so k=−π/4.
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