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 \(x=y^2-3y\) and the line \(x+y=3\).
If the line and the curve intersect at \(P\) and \(Q\), find the
- coordinates of \(P\) and \(Q\).
- area of the shaded region.
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Answer:(a) \(P=(0,3),\ Q=(4,-1)\) (b) \(\frac{32}{3}\text{ units}^2\)
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