- #1
raghavhv
- 1
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Hello ppl. I have a problem in finding out the volume of solid formed by the revolution of one loop of lemniscate of bernoulli ( r²=a²cos2θ) about the initial line θ =0
Using the relevant forumula for the volume of the solid generated by the revolution of one loop of the polar curve about the initial line,
http://img357.imageshack.us/img357/4228/93696380jt5.jpg ,
where V is the volume of the solid and π/4 and 0 are the upper and lower limits respectively.
In this problem ,
http://img88.imageshack.us/img88/6624/19344682ul0.jpg
But i am not able to integrate further. I am kinda stuck here. What substitution should i take?Please help me.
Using the relevant forumula for the volume of the solid generated by the revolution of one loop of the polar curve about the initial line,
http://img357.imageshack.us/img357/4228/93696380jt5.jpg ,
where V is the volume of the solid and π/4 and 0 are the upper and lower limits respectively.
In this problem ,
http://img88.imageshack.us/img88/6624/19344682ul0.jpg
But i am not able to integrate further. I am kinda stuck here. What substitution should i take?Please help me.
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