Edexcel Mathematics Specimen paper · Paper 1 · Question 7 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Specimen paper · Paper 1 · Question 7 · 5 marks

7. y R O x Figure 4 Figure 4 shows a sketch of part of the curve with equation y = 2e2x – xe2x , x ∈  The finite region R, shown shaded in Figure 4, is bounded by the curve, the x‑axis and the y‑axis. Use calculus to show that the exact area of R can be written in the form pe4 + q, where p and q are rational constants to be found. (Solutions based entirely on graphical or numerical methods are not acceptable.)

Lesson: Introduction to Integration (Fundamental Theorem of Calculus)