Integral of (x*e^x)/(1+x)^2 (by parts)
68.9 هزار بار بازدید -
4 سال پیش
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✍🏼 https://integralsforyou.com - Integral of (x*e^x)/(1+x)^2 - How to integrate it step by step using integration by parts!
✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧
Derivative of e^x/(1+x) = Derivative of e^x/(1+x)
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Rewrite expression
00:13 Parts: Integral of u dv = uv - Integral of v du
00:22 Choose u and dv
00:34 Differentiate u to get du
00:55 Integrate dv to get v
01:04 Substitute u, v and du
01:29 Simplify expression
01:53 Integrate e^x
02:03 Rewrite expression
02:45 Add integration constant +C
02:51 Final answer!
🔍 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 @𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮 𝐟𝐨𝐫 𝐚 𝐝𝐚𝐢𝐥𝐲 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥! 😉
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𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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𝐃𝐨𝐧𝐚𝐭𝐞
🙋♂️ Patreon: Patreon: integralsforyou
#integralsforyou #integrals #integrationbyparts
✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧
Derivative of e^x/(1+x) = Derivative of e^x/(1+x)
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Rewrite expression
00:13 Parts: Integral of u dv = uv - Integral of v du
00:22 Choose u and dv
00:34 Differentiate u to get du
00:55 Integrate dv to get v
01:04 Substitute u, v and du
01:29 Simplify expression
01:53 Integrate e^x
02:03 Rewrite expression
02:45 Add integration constant +C
02:51 Final answer!
🔍 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 @𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮 𝐟𝐨𝐫 𝐚 𝐝𝐚𝐢𝐥𝐲 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥! 😉
📸 Instagram: integralsforyou
𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
▶️ Youtube: https://www.youtube.com/integralsfory...
📸 Instagram: Instagram: integralsforyou
👍 Facebook: Facebook: IntegralsForYou
𝐃𝐨𝐧𝐚𝐭𝐞
🙋♂️ Patreon: Patreon: integralsforyou
#integralsforyou #integrals #integrationbyparts
4 سال پیش
در تاریخ 1399/06/23 منتشر شده
است.
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