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Q) Differentiate y=e^(cos^(−1) √(1−x^2 )) with respect to x and hence show that dy/dx=y/√(1−x^2 )
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🔥 Day 92 — Can you solve this? Evaluate the integral: Integral from 0 to 1 of (ln x)^2 dx It looks tricky — but there’s a clean parameter move 🔧 Differentiate ∫ x^a dx with respect to a, or do IBP twice and it collapses. 👉 The trick? Start with ∫₀¹ x^a dx = 1/(a 1), differentiate twice to generate (ln x)^2, then set a = 0 👀 Would you get the exact value before time runs out? ⏱️ 💭 Drop your answer below 👇 ✅ Full step-by-step solution is already on my page. ➡️ Follow for the rest of 100 Math
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