Integral of sin(x)/(3+2cos(x))^2

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✍🏼 https://integralsforyou.com - Integral of sin(x)/(3+2cos(x))^2 - How to integrate it step by step using the substitution method!

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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Substitution: u=3+2cos(x)
00:10 Differentiate in both sides
00:39 Substitute 3+2cos(x) and sin(x)dx
00:57 Rewrite expression
01:13 Integrate u^(-2)
01:24 Rewrite expression
01:40 Undo substitution: u in terms of x
01:51 Rewrite expression
02:02 Add integration constant +C
02:10 Final answer!
02:15 See more!

𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭𝐬
► Integration by parts: 🧑‍🔧 Integration by parts
► Integration by substitution: 🧑‍🔧 Integration by substitution
► Integration by trig substitution: 🧑‍🔧 Integration by trig substitution
► Integration by Weierstrass substitution: 🧑‍🔧 Integration by Weierstrass substi...
► Integration by partial fraction decomposition: 🧑‍🔧 Integration by partial fraction d...

🎓 𝐇𝐚𝐯𝐞 𝐲𝐨𝐮 𝐣𝐮𝐬𝐭 𝐥𝐞𝐚𝐫𝐧𝐞𝐝 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝? 𝐅𝐢𝐧𝐝 𝐞𝐱𝐚𝐦𝐩𝐥𝐞𝐬 𝐨𝐟 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐬𝐨𝐫𝐭𝐞𝐝 𝐛𝐲 𝐥𝐞𝐯𝐞𝐥 (𝐞𝐚𝐬𝐲, 𝐦𝐞𝐝𝐢𝐮𝐦 𝐚𝐧𝐝 𝐡𝐢𝐠𝐡) 𝐢𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮.𝐜𝐨𝐦:
► 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...

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5 ماه پیش در تاریخ 1403/01/14 منتشر شده است.
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