Moderate -0.8 This is a straightforward integration question requiring only the power rule (rewriting as 6x^{-3}, integrating to get -3x^{-2} + c) and using the given point to find the constant. It's slightly easier than average as it involves a single-step technique with no complications, though the negative and fractional powers require careful handling.
Question 2:
2 | y = 7 − 3/x2 oe | 5 | B3 for (y =) −3/x2 + c [B1 for each of
k/x2, k = − 6/2 and +c] and M1 for
substituting (1, 4) in their attempted
integration with + c, the constant of
integration | 5
The gradient of a curve is given by $\frac{dy}{dx} = \frac{6}{x^3}$. The curve passes through $(1, 4)$.
Find the equation of the curve. [5]
\hfill \mbox{\textit{OCR MEI C2 Q2 [5]}}