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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q121 Markssubstitution

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 12 (Integrals)

If \(\int_0^4 dx/(x+\sqrt{x})=k\log3\), find k.

✅ Step-by-Step Solution

Final Answer: 2
  1. Treat the lower endpoint as improper. Set t=√x, leaving ∫₀²2dt/(t+1)=2 ln3, so k=2.

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