(a) Find $\displaystyle\int (4x^3 - 6x + 2)\,dx$. (3 marks) (b) Evaluate $\displaystyle\int_1^2 \left(x^2 + \dfrac{1}{x^2}\right)dx$, leaving your answer as a fraction. (6 marks) (c) A particle moves in a straight line so that its velocity $v$ m s$^{-1}$ at time $t$ seconds is given by $v = 3t^2 - 2t$. Find the displacement of the particle from its starting point after 3 seconds. (6 marks)