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intergrate 1/(-0.4v^3)

 Apr 3, 2016
 #1
avatar+118723 
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intergrate 1/(-0.4v^3)

 

\(\int \frac{1}{-0.4v^3}\;dv\\ = \frac{1}{-0.4}\int v^{-3}\;dv\\ = \frac{-10}{4}\int v^{-3}\;dv\\ = \frac{-10}{4}\times \frac{v^{-2}}{-2}+c\\ = \frac{5}{4}\times \frac{v^{-2}}{1}+c\\ = \frac{5}{4v^2}+c\\\)

 Apr 3, 2016
 #2
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+5

thank you

 Apr 3, 2016
 #3
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You are welcome.  Why don't you become a member :) 

Melody  Apr 3, 2016

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