The region S S\,S is bounded by the curves y=e2xy = e^{2x}y=e2x and y=15−2exy = 15 - 2e^xy=15−2ex, and the vertical line x=0x = 0x=0. These curves intersect at a point in the first quadrant.
Show that the exact area of the region S S\,S is
15ln3−8 15 \ln 3 - 8 15ln3−8Fully justify your answer.
26 exam-style questions on OCR (MEI) A Level Maths 1.9.26 Area between two curves (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.