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Gateway Mission Academy presents an Advanced Definite Integration Challenge for JEE Main 2026 aspirants. Question: Evaluate ∫ from π/6 to −π/6 of (π + 4x^11) / (1 − sin(|x| + π/6)) dx ━━━━━━━━━━━━━━━━━━ Why This Question is Important? This is not a normal integration problem. It tests: ✔ Even and Odd Function Concept ✔ Properties of Definite Integrals ✔ Modulus Simplification ✔ Symmetry about Origin ✔ Smart Limit Reversal Technique Most students start expanding. Top rankers observe symmetry first. In this lecture, G3 Sir explains: • How to handle |x| in definite integrals • How to split interval smartly • Even–Odd identification trick • Time-saving JEE exam method ━━━━━━━━━━━━━━━━━━ Perfect for: JEE Main 2026 99+ Percentile Target Students Rank Booster Calculus Series Advanced Definite Integral Practice At Gateway Mission Academy, we focus on Concept + Observation + Speed. If your symmetry concepts are strong, this question becomes easy. Join the Rank Booster Series 🚀 📌 Learn exam-oriented Maths at Gateway Mission Academy 📌 Subscribe for JEE MAIN 2024 focused problems 📌 Stay connected with Gateway Mission Academy – A Gateway To Your success...! / @gatewaymissionacademy 📍 Follow us on Instagram: @GMA3_OFFICIAL 📱 WhatsApp Channel: https://whatsapp.com/channel/0029Vb6P... 📘 Telegram: https://t.me/GMA3Official Visit Website: https://sites.google.com/view/gateway... #GatewayMissionAcademy, #G3Sir, #JEEMain2026, #DefiniteIntegral, #CalculusTrick, #RankBooster, #99Percentile