| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Substitution |
| Type | Indefinite integral with linear substitution |
| Difficulty | Moderate -0.8 Both parts are routine integration exercises requiring direct application of standard results: (i) exponential integration with constant multiple, (ii) linear substitution or reverse chain rule. These are textbook drill questions with single-step solutions, significantly easier than the average A-level question which typically requires multi-step reasoning or combining multiple techniques. |
| Spec | 1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)1.08h Integration by substitution |
1 Find\\
(i) $\int 8 \mathrm { e } ^ { - 2 x } \mathrm {~d} x$,\\
(ii) $\int ( 4 x + 5 ) ^ { 6 } \mathrm {~d} x$.
\hfill \mbox{\textit{OCR C3 2009 Q1 [5]}}