Finding volume The region between the x-axis and the curve

Chapter , Problem 19AAE

(choose chapter or problem)

$y=f(x)= \begin{cases}0, & x=0 \\ x \ln x, & 0<x \leq 2\end{cases}$

is revolved about the x-axis to generate the solid shown here.

Show that ƒ is continuous at x = 0Find the volume of the solid.

Equation Transcription:

$y=f(x)={\{}_{x\ ln\ x,\ 0<x\leq{}2}^{0,\ x=0}$

Text Transcription:

y=f(x)={_x ln x, 0<x<=2^0, x=0

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