Question 45
The sketch shows the curve with equation y=x(x−2)(x−5)y = x(x - 2)(x - 5)y=x(x−2)(x−5)
The two regions enclosed between the curve and the xxx-axis are shaded.
a.[1]
Write down the values of x x\,x where the curve crosses the xxx-axis.
b.[8]
Find the total area of the two shaded regions.
1.8 Integration Questions
438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.