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\includegraphics[max width=\textwidth, alt={}, center]{5e3e5418-7976-4232-8550-1da6420a3fcb-12_684_776_274_680}
The diagram shows the curves with equations \(y = 2 ( 2 x - 3 ) ^ { 4 }\) and \(y = ( 2 x - 3 ) ^ { 2 } + 1\) meeting at points \(A\) and \(B\).
- By using the substitution \(u = 2 x - 3\) find, by calculation, the coordinates of \(A\) and \(B\).
- Find the exact area of the shaded region.