Moderate -0.8 This is a straightforward integration question requiring students to integrate a simple polynomial and use a given point to find the constant of integration. It involves only basic techniques with no problem-solving insight needed, making it easier than average but not trivial since it requires two steps (integration and substitution).
Question 11:
11 | (y =) 2x3 + 4x2 −1
accept 2x3 + 4x2 + c and c = - 1 | 4 | M2 for (y =) 2x3 + 4x2 + c (M1 if one
error) and M1 for subst of (1, 5) dep on
their y =, +c, integration attempt. | 4
A curve has gradient given by $\frac{dy}{dx} = 6x^2 + 8x$. The curve passes through the point $(1, 5)$. Find the equation of the curve. [4]
\hfill \mbox{\textit{OCR MEI C2 Q11 [4]}}