Integral of 14x2
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✍🏼 https://integralsforyou.com - Integral of 1/(4+x^2) - How to integrate it step by step! • ✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧 • Derivative of (1/2)arctan(x/2) = • Derivative of (1/2)arctan(x/2) • 🚶 𝐒𝐭𝐞𝐩𝐬 • 00:00 Factor out 4 • 00:18 Take 4 outside the integral • 00:27 Apply (x^2/4)=(x^2/2^2)=(x/2)^2 • 00:54 Multiply by 1/2 inside and by 2/1 outside the integral • 01:12 Simplify (1/4)*(2/1) • 01:21 Integrate (1/2)/(1+(x/2)^2) using the formula • 01:28 Add integration constant +C • 01:34 Final answer! • 👋 𝐅𝐨𝐥𝐥𝐨𝐰 @𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮 𝐟𝐨𝐫 𝐚 𝐝𝐚𝐢𝐥𝐲 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥! 😉 • 📸 / integralsforyou • • 🔍 𝐀𝐫𝐞 𝐲𝐨𝐮 𝐥𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐩𝐚𝐫𝐭𝐢𝐜𝐮𝐥𝐚𝐫 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥? 𝐅𝐢𝐧𝐝 𝐢𝐭 𝐰𝐢𝐭𝐡 𝐭𝐡𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐬𝐞𝐚𝐫𝐜𝐡𝐞𝐫: • ► Integral searcher 👉https://integralsforyou.com/integral-... • • 🎓 𝐇𝐚𝐯𝐞 𝐲𝐨𝐮 𝐣𝐮𝐬𝐭 𝐥𝐞𝐚𝐫𝐧𝐞𝐝 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝? 𝐅𝐢𝐧𝐝 𝐞𝐚𝐬𝐲, 𝐦𝐞𝐝𝐢𝐮𝐦 𝐚𝐧𝐝 𝐡𝐢𝐠𝐡 𝐥𝐞𝐯𝐞𝐥 𝐞𝐱𝐚𝐦𝐩𝐥𝐞𝐬 𝐡𝐞𝐫𝐞: • ► Integration by parts 👉https://integralsforyou.com/integrati... • ► Integration by substitution 👉https://integralsforyou.com/integrati... • ► Integration by trig substitution 👉https://integralsforyou.com/integrati... • ► Integration by Weierstrass substitution 👉https://integralsforyou.com/integrati... • ► Integration by partial fraction decomposition 👉https://integralsforyou.com/integrati... • • 𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮 • ▶️ Youtube: https://www.youtube.com/integralsfory... • 📸 Instagram: / integralsforyou • 👍 Facebook: / integralsforyou • • 𝐃𝐨𝐧𝐚𝐭𝐞 • 🙋♂️ Patreon: / integralsforyou • • #integralsforyou #integrals #integration
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