(a) Find $\displaystyle\int (3x^2 - 4x + 1)\,dx$. (3 marks) (b) Evaluate $\displaystyle\int_0^1 (x^3 + 2x)\,dx$. (4 marks) (c) Find the area of the region enclosed between the curve $y = x^2$ and the line $y = x$. (8 marks)
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