An architect is designing a decorative glass panel. In the design coordinate system, the upper profile of the panel is the curve y=15−2exy = 15 - 2e^xy=15−2ex and the lower profile is the curve y=e2xy = e^{2x}y=e2x. The region, representing the panel, is bounded by these two curves and the yyy-axis (the line x=0x = 0x=0), as shown shaded in the diagram below.
Show that the exact area of this panel is
15ln3−8 15 \ln 3 - 8 15ln3−8Fully justify your answer.
Practise Edexcel A Level Maths 11.8 Finding Areas with exam-style questions for A Level Maths. 28 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
