OCR AS Mathematics Integration evel ssessr Topic assessment "integral isess show d respe 1 . Find [ 2Vx - dx. the a [3] CX = 2. (a) Find f. ( -2 ) dx, where k is a constant. osec the (b) Find the value of k for which J, (2- dx =0. [4] [1] the solv 3. Given that f'(x) = 6x -2x +3 and that f(1) =2, find f(x). Ske 3x [4] axe un 4. Find the equation of the curve with gradient function dx dy = _ - xx which passes through the point (1, 2). [4] 5. (a) Sketch the curve y = 2-x-x2. (b) Find the area of the region enclosed by the curve and the x-axis. [2] [2] SE 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]