Integration

Free TMUA Paper 1 lesson. Problem-solving strategies, fully worked examples of the question types that keep coming up, common mistakes and a self-check.

What the lesson covers

  • The patterns to expect
  • Integrating powers, after rewriting
  • Signed integrals, total area and equal areas
  • The area between two curves
  • Symmetry, geometry and the modulus
  • Shifts, stretches and variable limits
  • The trapezium rule
  • Habits that win marks on integration questions
  • Self-check questions with answers (8)

Specification: 1.7 integration, areas, trapezium rule. Section numbers are Heurisco's own, following the headings of the published TMUA specification.

How to use it

  1. Read a section, then cover the worked example and try it yourself.
  2. Check the common mistakes list: these are the slips the real test is built to catch.
  3. Do the self-check without looking back. Mark it against the answers.
  4. Then practise the topic under time, with the matching practice set.

Heurisco is an independent practice provider and is not affiliated with, endorsed by, or connected to UAT-UK, Pearson VUE, the UCAT Consortium, or any university.