Edexcel Mathematics June 2018 · Paper 2 · Question 13 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2018 · Paper 2 · Question 13 · 10 marks

13. y x ORC P(e, e)l Figure 2 Figure 2 shows a sketch of part of the curve C with equation y = x ln x, x > 0 The line l is the normal to C at the point P(e, e) The region R, shown shaded in Figure 2, is bounded by the curve C, the line l and the x-axis. Show that the exact area of R is Ae2 + B where A and B are rational numbers to be found. (10) 39 40 41

Lesson: Introduction to Integration (Fundamental Theorem of Calculus)