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SecondaryMathsIntegration as reverse differentiation and area10–15 min

Area Under Curves

Build f(x) from a given f′(x) and a point, then choose limits so the total area above and below the x-axis hits a target.

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Theory and model assumptions

Build f(x) from a given f′(x) and a point, then choose limits so the total area above and below the x-axis hits a target.

Teacher guidance

Secondary Additional Mathematics: integration (reverse of differentiation, definite integrals, area under a curve)

Expected time: 10–15 minutes.

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