Integral of x*sec^2(x)
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Загружено: 2025-01-12
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💥 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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• 🧑🔧 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 Parts: Integral of u dv = uv - Integral of v du
00:11 Choose u and dv
00:19 Differentiate u to get du
00:24 Integrate dv to get v
00:31 Substitute u, v and du
00:45 Write tan(x) as sin(x)/cos(x)
00:59 Substitution: t=cos(x)
01:06 Differentiate in both sides
01:22 Substitute cos(x) and sin(x)dx
01:42 Rewrite expression
01:52 Integrate 1/t
02:03 Undo substitution: t in terms of x
02:13 Add integration constant +C
02:22 Final answer!
02:29 See more!
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