Integration | 30 Worked Examples | OCR B MEI A-Level Maths

30 fully worked questions on integration for OCR B (MEI) A-Level Maths (H640), built for Year 12 students who want to master the reverse of differentiation and the area under a curve with confidence. Questions follow the style of the H640 papers, with command words such as Find, Evaluate, Determine and Show that, a number of questions carrying the instruction “In this question you must show detailed reasoning”, and clearly drawn shaded diagrams for the area questions. The pack covers integrating powers of x including roots, reciprocals, expanded brackets and simple fractions, finding the constant of integration from a point on the curve or a tangent condition, definite integrals with exact answers, area between a curve and the x-axis including regions partly below the axis, areas bounded by a curve and a line found by subtracting a triangle or trapezium, areas between two curves as one area under a graph minus another, finding an unknown limit or coefficient from a given area, and the limit of a sum of rectangles. Every solution is broken into single steps with a plain English reason, an arrow note on every line and OCR style M1, A1 and B1 marks placed exactly where a mark scheme rewards them, so students see how marks are earned and where they are lost. The total is 165 marks. Ideal for homework, revision, tutoring or self study, and a complete answer for every question is included.

What’s inside:
Easy: 10 questions on integrating powers, roots, reciprocals and expanded brackets, finding a curve from its gradient and a point, definite integrals and simple areas under a curve
Medium: 13 questions on tangent conditions, exact definite integrals, unknown limits and coefficients, areas below and across the x-axis, areas bounded by a curve and a line, and the rectangle approximation
Hard: 7 questions on areas between a line and a curve, two-curve regions, a three-root cubic, a tangent condition with an area, a tunnel modelling problem and an area-matching problem with a surd answer