Calculus

Topic overview

Historical scope: differentiation of power functions and sums/differences, derivatives of exponential functions, integration of power functions and areas; general differential equations or volumes of revolution are not required.

Key concepts

Discontinued; only retained for training on the final historical syllabus scope, and is not a current entrance examination.

Key points

◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Worked examples

Try each example yourself before checking the explanation.

1Basic examples within scope

Evaluate $\displaystyle\int_0^1 x^2(1-x)^2 \, dx$ .

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