Mathematics, 22.08.2019 23:40 sctenk5598
21. find the volume of the solid of revolution formed if the area enclosed between the curves y=x² and y=(x-2)² is rotated about the x-axis using integration
Answers: 1
![V=2\int _{ 0 }^{ 1 }{ \pi { x }^{ 4 } } dx\\ \\ =2{ \left[ \frac { \pi { x }^{ 4+1 } }{ 4+1 } \right] }_{ 0 }^{ 1 }](/tpl/images/0189/3014/4e183.png)
![\\ \\ =2{ \left[ \frac { \pi { x }^{ 5 } }{ 5 } \right] }_{ 0 }^{ 1 }\\ \\ =2\left\{ \left( \frac { \pi }{ 5 } \right) -\left( 0 \right) \right\} \\ \\ =\frac { 2 }{ 5 } \pi](/tpl/images/0189/3014/b91d9.png)
units cubed.
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21. find the volume of the solid of revolution formed if the area enclosed between the curves y=x² a...
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