# Exam-Style Question on Integration

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 646. This question is similar to one that appeared on an IB AA Higher paper in 2023. The use of a calculator is allowed.

The diagram below shows part of the graph of $$y = \dfrac{2x}{9-x^2}$$

The shaded region is bounded by the curve, the x-axis and the line $$x = c$$

The area of this region is $$\ln{2}$$

Find the value of $$c$$.

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