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21K reactions · 1.9K shares | 📐can you memorize the Trigonometry table in 60 Seconds ? 🤔 Save this Reel for your next exam📚↗️ | Aptop Patir

62K views · 619 reactions | ⚡ Power Reduction for Sin⁴x Integration! (∫sin⁴x dx = ?) Master the double power reduction technique! 🎯 → Rewrite: sin⁴x = (sin²x)² → First reduction: sin²x = (1-cos2x)/2 → Square it: [(1-cos2x)/2]² → Expand: (1/4)(1-2cos2x+cos²2x) → Second reduction: cos²2x = (1+cos4x)/2 → Simplify to: (1/8)(3-4cos2x+cos4x) → Integrate term by term → Final answer: (3x/8) - (sin2x/4) + (sin4x/32) + C ✓ Simple, elegant, brilliant! 💡 Even powers? Use power reduction formulas! 🔥 Follow @gammamaths for more trig integration mastery! #Integration #PowerReduction #TrigIntegration #Calculus #GammaMaths #MathTricks #TrigonometricIntegrals | Gamma Maths | Facebook

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"Laplace transform, sine and cosine integrals" for a problem shared by Alp Kortaş