Integration - Area Bounded by a Curve and Straight Lines
Integration - Area Bounded by a Curve and Straight Lines
The diagram shows part of the curve \(y=2x-x^2\) and the line \(PQ\) joining the point \(P(0,4)\) to \(Q\), the maximum point of the curve.
- Find the coordinates of the point \(Q\).
- Find the area of the shaded region.
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Answer:(a) \(Q=(1,1)\) (b) \(\frac{11}{6}\text{ units}^2\)
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