Exam-Style Question on Integration
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 40. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.
Consider the graph of the function \(f(x)=x^2+2\).
(a) Find the area between the graph of \(f\) and the x-axis for \(2\le x \le 3\).
(b) If the area described above is rotated 360o around the x-axis find the volume of the solid formed.
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