| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Definite integral with trigonometric functions |
| Difficulty | Moderate -0.8 This is a straightforward C4 integration question requiring expansion of the product and direct integration of standard trigonometric functions. The definite integral evaluation is routine with no algebraic complications or need for substitution techniques. |
| Spec | 1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)1.08d Evaluate definite integrals: between limits |
\begin{enumerate}
\item Evaluate
\end{enumerate}
$$\int _ { 0 } ^ { \pi } \sin x ( 1 + \cos x ) d x$$
\hfill \mbox{\textit{OCR C4 Q1 [4]}}