Integration Questions 1.

Find the general value of y from the expression for in each of the following: a. = x4+4x b. = 3x2+1/2 c. = d. = x2(1-x2) e. = f. = If = 4x3 -3x2 +2x and y = 0 when x = 0 find an expression for y. Find the equation of a curve which passes through the origin, given that the gradient is 6x(x-1). Integrate the following a. b. c. d. 5. a. b. c. d. e. f. g. h. 6. Find the area bounded by the given curve, the x axis and the given ordinates: a. y = 3x2 –x3, x = 0, x = 3 b. y = (x-2)2, x = -1, x = 2. INTEGRATION QUESTIONS 1