Edexcel AS Mathematics Integration Topic assessment 1. 3 Find (2x-dr. 2. (a) Find 6 k d dx, where k is a constant. (b) Find the value of k for which ( 6 k dx = 0. x x' 3. Given that f'(x)=6x -2x+3 and that f(1) = 2, find f(x). "integral Edexcel AS Maths Integration Assessment 4 7. The diagram shows part of the curve y=5-x. x [3] y == [1] [4] [4] 4. Find the equation of the curve with gradient function through the point (1, 2). dy dx 1 = -xx which passes x [4] 5. (a) Sketch the curve y=2-x-x. (b) Find the area of the region enclosed by the curve and the x-axis. 6. The diagram below shows the curve y=x-ax, where a is a positive constant. P Find the area of the shaded region in terms of a. [6] [2] [2] x Find the area enclosed between the curve and the x-axis. Give your answer in exact form. Solutions based entirely on graphical or numerical methods are not acceptable. 8. The diagram shows the curve y=x =x 4x. [5] a The shaded region shown is bounded by the curve, the x-axis and the line x = a. The shaded region has area 10 square units. Find the value of a. Give your answer to 3 significant figures. Solutions based entirely on graphical or numerical methods are not acceptable. [9] Total: 40 marks