| Exam Board | OCR MEI |
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| Module | Paper 3 (Paper 3) |
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| Year | 2024 |
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| Session | June |
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| Topic | Area Under & Between Curves |
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3 In this question you must show detailed reasoning.
The diagram shows the curve with equation \(y = x ^ { 5 }\) and the square \(O A B C\) where the points \(A , B\) and \(C\) have coordinates \(( 1,0 ) , ( 1,1 )\) and \(( 0,1 )\) respectively.
The curve cuts the square into two parts.
\includegraphics[max width=\textwidth, alt={}, center]{60e1e785-c34b-48ef-a63f-13a25fee186e-04_658_780_1318_230}
Show that the relationship between the areas of the two parts of the square is
\(\frac { \text { Area to left of curve } } { \text { Area below curve } } = 5\).