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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) $\pi\left[2(\ln 2)^{2}-4 \ln 2+2\right]=2 \pi\left[(\ln 2)^{2}-2 \ln 2+1\right]$

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

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