The diagram shows a sketch of part of the curve with equation y = 9 3x

Question:

The diagram shows a sketch of part of the curve with equation y = 9 − 3x − 5x2 − x3 and the line with equation y = 4 − 4x.


The line cuts the curve at the points A (−1, 8) and B(1, 0).


Find the area of the shaded region between AB and the curve.


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