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A cheat code for HSC Ext 1 & 2 students to bypass trigonometric substitution and directly integrate inverse surd functions using logarithmic forms.
Extension-2
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Welcome to Vu's Maths Hub, an independent Australian mathematics resource platform providing free, specialised NESA-aligned maths booklets for high-achieving secondary students.- Published on
A direct biconditional proof demonstrating that a three-digit number is divisible by 9 if and only if the sum of its digits is divisible by 9.- Published on
A guided proof demonstrating that the orbit of an irrational rotation is dense using the Pigeonhole Principle, and proving that there exists a power of 2 starting with 2025.- Published on
A challenging HSC Extension 2 Mathematics problem exploring the evaluation of sequence limits using inequalities and the Squeeze Theorem.