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Integral of cos^3(x)sin^4(x) (substitution)
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Integral of cos^3(x)sin^4(x) - How to integrate it step by step using the substitution method!
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Rewrite expression
00:16 Use the 1=sin^2(x)+cos^2(x) trig identity
00:56 Substitution: u=sin(x)
01:04 Differentiate in both sides
01:08 Substitute sin(x) and cos(x)dx
01:24 Rewrite expression
01:33 Integrate u^4 and u^6
01:47 Undo substitution: u in terms of x
02:01 Add integration constant +C
02:08 Final answer!
👋 Follow @integralsforyou on Instagram for a daily integral 😉
𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts
► Integration by substitution
► Integration by trig substitution
► Integration by Weierstrass substitution
► Integration by partial fraction decomposition
𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
𝐃𝐨𝐧𝐚𝐭𝐞
#integralsforyou #integrals #integrationbysubstitution
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Rewrite expression
00:16 Use the 1=sin^2(x)+cos^2(x) trig identity
00:56 Substitution: u=sin(x)
01:04 Differentiate in both sides
01:08 Substitute sin(x) and cos(x)dx
01:24 Rewrite expression
01:33 Integrate u^4 and u^6
01:47 Undo substitution: u in terms of x
02:01 Add integration constant +C
02:08 Final answer!
👋 Follow @integralsforyou on Instagram for a daily integral 😉
𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts
► Integration by substitution
► Integration by trig substitution
► Integration by Weierstrass substitution
► Integration by partial fraction decomposition
𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
𝐃𝐨𝐧𝐚𝐭𝐞
#integralsforyou #integrals #integrationbysubstitution
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