(Method 1) Integral of 1/(1-x)^2 (substitution)
💥 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧
Derivative of 1/(1-x) = • Derivative of 1/(1-x)
🙈 𝐒𝐚𝐦𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥, 𝐝𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐭 𝐦𝐞𝐭𝐡𝐨𝐝𝐬
[Method 1] - Integral of 1/(1-x)^2 - [u=1-x] - • (Method 1) Integral of 1/(1-x)^2 (su...
[Method 2] - Integral of 1/(1-x)^2 - [Direct] - • (Method 2) Integral of 1/(1-x)^2
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• 🧑🔧 Integration by parts
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Use the 1/a^n = a^(-n) property
00:18 Substitution: u = 1-x
00:24 Differentiate in both sides
00:33 Substitute 1-x and dx
00:43 Take out the minus sign
00:48 Integrate u^(-2)
00:55 Rewrite expression
01:00 Undo substitution: u in terms of x
01:04 Add integration constant +C
01:12 Final answer!
01:17 See more!
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