Integral of tan^5(x)/cos^2(x) (substitution)
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00:00 Rewrite expression
00:13 Substitution: u=tan(x)
00:21 Differentiate in both sides
00:28 Substitute tan(x) and (1/cos^2(x))dx
00:38 Integrate u^5
00:42 Undo substitution: u in terms of x
00:48 Add integration constant +C
00:55 Final answer!
01:00 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 substitution
► Integration by partial fraction decomposition: • 🧑🔧 Integration by partial fraction decomp...
🎓 𝐇𝐚𝐯𝐞 𝐲𝐨𝐮 𝐣𝐮𝐬𝐭 𝐥𝐞𝐚𝐫𝐧𝐞𝐝 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝? 𝐅𝐢𝐧𝐝 𝐞𝐱𝐚𝐦𝐩𝐥𝐞𝐬 𝐨𝐟 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐬𝐨𝐫𝐭𝐞𝐝 𝐛𝐲 𝐥𝐞𝐯𝐞𝐥 (𝐞𝐚𝐬𝐲, 𝐦𝐞𝐝𝐢𝐮𝐦 𝐚𝐧𝐝 𝐡𝐢𝐠𝐡) 𝐢𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮.𝐜𝐨𝐦:
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► Integration by partial fraction decomposition 👉 https://integralsforyou.com/integrati...
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