CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 1 · Question Q38

If the rate of change of y with respect to x is 3x^2 + \frac{4}{x^3}, then y is equal to

1. (A)6x - \frac{12}{x^4}
2. (B)x^3 + \frac{2}{x^4} + \text{constant}
3. (C)x^3 - \frac{2}{x^2} + \text{constant}
4. (D)6x - \frac{2}{x^2}