why is this integral performed:
forget()
var('n')
assume(n>0)
integrate(1/sqrt(1+x^2*n),x,1,2)
i.e. I get:
-arcsinh(sqrt(n))/sqrt(n) + arcsinh(2*sqrt(n))/sqrt(n)
while this is not
forget()
var('n')
assume(n>0)
integrate(1/sqrt(1+x^2/n),x,1,2)
|   | 1 |  initial version  | 
why is this integral performed:
forget()
var('n')
assume(n>0)
integrate(1/sqrt(1+x^2*n),x,1,2)
i.e. I get:
-arcsinh(sqrt(n))/sqrt(n) + arcsinh(2*sqrt(n))/sqrt(n)
while this is not
forget()
var('n')
assume(n>0)
integrate(1/sqrt(1+x^2/n),x,1,2)
 Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
 
                
                Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.