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Year 12 Maths Extension 2 (2027) Calculus

Recurrence Relations (Reduction Formulas)

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Questions
Question 1
13568

Given \(I_n = \displaystyle\int x^n e^x\,dx\), find \(I_n\) in terms of \(I_{n-1}\).

\({I_n}={e^x}{x^n} - n{I_{n - 1}}\)

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