Upper limit of an area under a rational curve found by reverse chain rule integration
Upper limit of an area under a rational curve found by reverse chain rule integration
6 marks
The diagram below shows part of the curve \(y=\frac{x}{x^2+3}\), for \(x\geq0\).
The shaded region \(R\) lies between the curve and the \(x\)-axis, from \(x=0\) to \(x=c\), where \(c>0\). Given that \(R\) has area \(\ln2\), find the value of \(c\).[6]
Solution:
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Answer:\(c=3\)
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