| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Difficulty | Standard +0.3 This requires expanding (2x^(3/2) - 1)^2 algebraically, then integrating term-by-term using standard power rule. It's slightly above average difficulty due to the fractional powers and need for careful algebraic manipulation, but remains a straightforward C2-level exercise with no conceptual challenges beyond basic technique. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.08b Integrate x^n: where n != -1 and sums |
2. Given that
$$y = 2 x ^ { \frac { 3 } { 2 } } - 1 ,$$
find
$$\int y ^ { 2 } \mathrm {~d} x .$$
\hfill \mbox{\textit{OCR C2 Q2 [6]}}