# Exam Style Question

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Question id: 40. This question is similar to one that appeared in an IB Standard paper in 2014. The use of a calculator is not allowed.

### Integration

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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