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Q) If y=tan^(−1) [(√(1+x^2 )+√(1−x^2 ))/(√(1+x^2 )−√(1−x^2 ))], x^2≤1, then find dy/dx.
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Entri in cucina e trovi questo ciambellone Nutella e cocco ancora caldo. Che fai, non la prendi una fetta? 🤤 Condividilo con la persona che te lo deve assolutamente preparare! 🥥🍫 📍Ecco cosa ti serve per fare magie in cucina oggi: 🛒 🥧 stampo 22 🔹️ 3 uova 🔸️ 1 bicchiere olio d'oliva/altro 🔹️ 1 yogurt bianco al naturale/latte 🔸️ pizzico sale 🔹️ 1 bicchiere di cocco rapè 🔸️ 2 bustine vanillina 🔹️ 1 bicchiere amido di mais/fecola di patate 🔸️ 1 bustina lievito x dolci 🔹️ 400g cioccolat
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🔥 Day 107 — Can you solve this? Evaluate the integral: ∫ from 0 to ∞ of 1 / (1 x^2)^2 dx It looks messy — but one substitution makes it melt away 😮‍💨 Set x = tan θ and it turns into a simple cosine-square integral. 👉 The move: dx/(1 x^2)^2 → cos^2(θ) dθ with θ in [0, π/2]. Then integrate cos^2(θ) cleanly with a double-angle identity 👀 Would you land the exact value before time runs out? ⏱️ 💭 Drop your answer below 👇 ✅ Full step-by-step solution is already on my page. ➡️ Follow for Day 108
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