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Learn, or revise, techniques of integration (parts, substitution, partial fractions, reduction formulae) and applications to areas in the plane and volumes of revolution.
Integration by parts, by substitution and with the use of partial fractions (A-level topics); improper integrals and reduction formulae (Further Maths topics).
Areas between curves, and volumes of revolution. This is an A-level topic, which Science and Engineering courses at Imperial will assume you know.