Additional Mathematics 0606 / Calculus — Integration / 3.813.81: Area between exponential curves0606/22/O/N/25 — Question 10 · 10 marksMark as done · Save for later · Show all solutionsThe diagram shows parts of the graphs of y=2+5exy = 2 + 5\mathrm{e}^{x}y=2+5ex and y=4−3e2xy = 4 - 3\mathrm{e}^{2x}y=4−3e2x.Find the area of the shaded region. Give your answer in the form a+bln3a + b\ln 3a+bln3, where aaa and bbb are exact constants.[10]▸ Answer▸ Official mark scheme← 3.62: Curve from second derivative; nature; exponential rates3.69: Integrals involving exponential, reciprocal and sec →
