Edexcel Mathematics Specimen paper · Paper 2 · Question 10 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Specimen paper · Paper 2 · Question 10 · 9 marks

10. y C R O ln 2 ln 4 Figure 4 Figure 4 shows a sketch of the curve C with parametric equations = + = 2 1 x t y t ln( ), , + 1 t > − (a) State the domain of values of x for the curve C. x 2 3 (1) The finite region R, shown shaded in Figure 4, is bounded by the curve C, the line with equation x = ln 2, the x-axis and the line with equation x = ln 4  (b) Use calculus to show that the area of R is ln 3    2  .

Lesson: Laws of Indices