Integration - Area Bounded by a Curve and Straight Lines

Integration - Area Bounded by a Curve and Straight Lines

The region \(R\) shown in the diagram below is bounded by the curve \(y=4-x^2\), the line \(y=3x\) and the \(x\)-axis. Find the area of region \(R\).

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Answer:\(\frac{19}{6}\text{ units}^2\)

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