Edexcel Mathematics June 2022 · Paper 1 · Question 16 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2022 · Paper 1 · Question 16 · 9 marks

16. y 4C R x O Figure 6 Figure 6 shows a sketch of the curve C with parametric equations x = 8 sin2 t y = 2 sin 2t + 3 sin t 0  t  π 2 The region R, shown shaded in Figure 6, is bounded by C, the x-axis and the line with equation x = 4 (a) Show that the area of R is given by 88 44 82 0−+()∫coss in cos tt tta d where a is a constant to be found. (5) (b) Hence, using algebraic integration, find the exact area of R. (4) 47 48  

Lesson: Introduction to Integration (Fundamental Theorem of Calculus)