Integral of 1/(x^3-1) (Ruffini's rule + partial fraction decomposition + substitution)

Integral of 1/(x^3-1) - How to integrate it step by step! ✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧 Derivative of (1/3)ln(x-1) - (1/6)ln(x^2+x+1) - (sqrt(3)/3)*arctan((2x+1)/sqrt(3)) =    • Derivative of (1/3)ln(x-1) - (1/6)ln(x^2+x...   👋 Follow @integralsforyou on Instagram for a daily integral 😉 📸 @integralsforyou   / integralsforyou   𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭 ► 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...   𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮 ▶️ Youtube: https://www.youtube.com/integralsfory... 📸 Instagram:   / integralsforyou   👍 Facebook:   / integralsforyou   𝐃𝐨𝐧𝐚𝐭𝐞 🙋‍♂️ Patreon:   / integralsforyou   #integralsforyou #integrals #integration