Integration
Introduction to integration — antiderivatives and the reverse power rule, indefinite and definite integrals, finding a function from its derivative, the area under a curve and between curves, and the trapezoidal rule for estimating areas.
Start practising → Formula sheet (PDF) ↗Sample questions
- Easy Reverse the power rule No Calculator [3]
- Medium Area under a curve Calculator [4]
- Medium Trapezoidal rule — basic estimate Calculator [4]
About this topic
These are original, exam-style questions written to match the IB Mathematics syllabus for Applications & Interpretation SL (Topic 5: Calculus). Every question comes with a full step-by-step worked solution showing the method, with mark allocations matching real IB marking schemes, and graphics-calculator key sequences where a GDC is used. Questions are labelled Paper 1 (no calculator) or Paper 2 (calculator allowed) so you practise under realistic exam conditions.
How to practise
- Open the question bank using the button above.
- Attempt the question, writing out your working.
- Reveal the full worked solution and compare your method step by step.
- Use the difficulty and calculator filters to focus on what you need most.