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Year 12 Maths Advanced Integration

Areas by Integration

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Question 1
30941

i) Sketch the function \(y = x^2 - 2x\) in the domain \(0 \leq x \leq 3\).

ii) If \(y\) in (i) is part of an odd function defined on \(-3 \leq x \leq 3\), sketch on a second diagram the function \(f(x)\).

iii) Write down the value of \(\displaystyle\int_{-3}^{-3} \, f(x) \, dx\) giving a brief reason for your answer.

i) Refer to worked solution ii) Refer to worked solution iii) \(0\)

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