💥 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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🙈 𝐒𝐚𝐦𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥, 𝐝𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐭 𝐦𝐞𝐭𝐡𝐨𝐝𝐬
[Method 1] - Integral of 1/x*(x^2-1) - [u=1-1/x^2] - • (Method 1) Integral of 1/x*(x^2-1) (substi...
[Method 2] - Integral of 1/x*(x^2-1) - [PFD] - • (Method 2) Integral of 1/x*(x^2-1) (partia...
🍏 𝐀𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐚 𝐝𝐚𝐲 𝐤𝐞𝐞𝐩𝐬 𝐭𝐡𝐞 𝐝𝐨𝐜𝐭𝐨𝐫 𝐚𝐰𝐚𝐲
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🎓 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭𝐬
• 🧑🔧 Integration by parts
• 🧑🔧 Integration by substitution
• 🧑🔧 Integration by trig substitution
• 🧑🔧 Integration by Weierstrass substitution
• 🧑🔧 Integration by partial fraction decomp...
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Partial fraction decomposition for 1/x*(x^2-1)
00:30 Find A, B and C
03:52 1/x*(x^2-1) in terms of A, B and C
04:27 Rewrite expression
04:48 Integrate 1/x, 1/(x+1) and 1/(x-1)
05:03 Add integration constant +C
05:15 Final answer!
05:20 See more!
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