What you need to know
Check yourself against these “I can” statements.
- I can integrate x^(n) and polynomials
- I can find the equation of a curve given its gradient function and a point on it
- I can evaluate a definite integral
- I can find the area between a curve and the x-axis
- I can find areas between curves and straight lines
Practise this topic
6 resourcesIntegration (Year 1): Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
🧩 ConnectionsCalculus Families
Each group holds a function together with its first derivative, second derivative and integral. Polynomials first; negative and fractional powers, exponentials and trig on higher levels.
🧮 ToolFormula Sheet
Make a printable formula sheet: tick the shapes you want (2D area, perimeter and arc length, volume, surface area, and sector, arc and segment in radians), the eight circle theorems with diagrams, the GCSE formulae sheet…
📋 Unit reviewIntegration (Year 1): Exam Questions
Exam-style questions on the whole Integration (Year 1) chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): integrating powers of x, finding a curve from…
⬢ BlockbustersIntegration (Year 1): Spot the Mistake Blockbusters
Blockbusters with the questions from the Integration (Year 1): Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧮 ToolShape Formulas
Animated visual proofs of the area, volume and surface area formulae: drag the bar (or press Play) to turn each shape step by step into one whose area or volume we already know, with a caption for each step and the formula built…
These are the pages for Integration in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.