| Exam Board | OCR |
|---|
| Module | PURE |
|---|
| Year | 2066 |
|---|
| Topic | Areas Between Curves |
|---|
7
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The diagram shows part of the curve \(y = ( 5 - x ) ( x - 1 )\) and the line \(x = a\).
Given that the total area of the regions shaded in the diagram is 19 units \({ } ^ { 2 }\), determine the exact value of \(a\).