2025 HSC Maths Extension 1 Q3 | Rewrite Integral Using x = sin(θ) Substitution (Step-by-Step)

Keywords: 2025 HSC maths extension 1, HSC ext 1 integration question, trig substitution integration, x = sin theta substitution, rewrite integrand in terms of theta, integration using substitution method, trigonometric substitution calculus, HSC maths exam solutions, year 12 maths integration techniques, advanced calculus substitution, integrals with trig substitution, exam integration step by step, HSC ext 1 Q3 solution, calculus exam paper walkthrough, integration by substitution tricks, sin theta substitution integrals, maths extension 1 revision, The Maths Studio In this video, we solve a 2025 HSC Maths Extension 1 exam question involving a key integration technique: 👉 Rewrite the integrand using the substitution x = sin(θ) This is a powerful trigonometric substitution method used to simplify complex integrals and express everything in terms of θ. 📌 What you’ll learn: How to use the substitution x = sin(θ) How to rewrite integrals entirely in terms of θ How to transform dx using differentiation Step-by-step exam method for full marks How to recognise when trig substitution is needed 🎯 Perfect for: Year 12 Maths Extension 1 students HSC Maths exam revision (2025 paper) Students learning integration techniques Advanced calculus problem-solving practice 💡 Why this video is important: Trig substitution is a high-value exam technique. Once you learn how to convert everything into θ correctly, many difficult integrals become much easier to solve. 🔔 Subscribe to The Maths Studio for more step-by-step HSC exam solutions, calculus techniques, and Maths Extension 1 revision videos.