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Year 12 Maths Extension 2 (2027) Calculus

Integration by Substitution

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Question 1
183300
Using the substitution \(u = x^2 + 1\), find \(\displaystyle\int x\sqrt{x^2 + 1}\,dx\).
\(\tfrac{1}{3}(x^2+1)^{3/2}+C\)

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