Integration
JUPEB Mathematics

(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 …

(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 …