IGCSE/GCSE/O & A Level/IB/University Student Forum
Qualification => Subject Doubts => GCE AS & A2 Level => Math => Topic started by: xxemoxx on January 29, 2010, 01:29:27 pm
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Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution
f(x) = 1/x + 2
c=3, d=5
source: P1 Pg 262 Q3 part h
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Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution
f(x) = 1/x + 2
c=3, d=5
source: P1 Pg 262 Q3 part h
![\int^5_3 x^2 dy =\int^5_3\frac {1}{(y-2)^2} dy =[\frac {-1}{y-2} ]^5_3 =-1/3 +1=2/3](https://studentforums.biz/cgi-bin/mimetex.cgi?\int^5_3 x^2 dy =\int^5_3\frac {1}{(y-2)^2} dy =[\frac {-1}{y-2} ]^5_3 =-1/3 +1=2/3)