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Solve this integral equation.

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Generalise this inequality involving integrals.

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Integral Inequality

An inequality involving integrals of squares of functions.

Area L

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2
Draw a sketch of the graph of $f(x)$ for $a\leq x \leq b$ and interpret from your diagram $bf(b) - af(a).$