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# Calculate the volume generated by rotating the region bounded by the curves $y = \ln x$, $y = 0$ and $x = 2$ about each axis.(a) The y-axis(b) The x-axis

## a) $\pi\left(4 \ln 2-\frac{3}{2}\right)$b) $\pi\left[2(\ln 2)^{2}-4 \ln 2+2\right]=2 \pi\left[(\ln 2)^{2}-2 \ln 2+1\right]$

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Integration Techniques

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Integration Techniques

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