Additional Mathematics 0606 / Calculus — Integration / 3.803.80: Intersection of curve and line; shaded area0606/12/F/M/25 — Question 7 · 10 marksMark as done · Save for later · Show all solutions(a)The diagram shows part of the curve y=5x+1+2y=\dfrac{5}{x+1}+2y=x+15+2 and part of the line y=2x+1y=2x+1y=2x+1 intersecting at AAA.Find the coordinates of AAA.[4]▸ Answer(b)Find the exact area of the shaded region.[6]▸ Answer▸ Official mark scheme← 3.78: Area between curve, tangent and xxx-axis3.86: Integrals involving 1x2+3\dfrac{1}{x^{2}+3}x2+31 and an exponential →