Hello,

I'm new to Sage and this group.

I have been doing some simple experimentation with integration in
order to get up to speed. One thing I attempted was to try and
calculate an integral, attempting to reproduce the problem described
on this page:

http://mathforum.org/library/drmath/view/52038.html

Here is how I gave the problem to Sage (V4.1.1 under Windows):

f=sin(x)
g=f.diff(x)
h=(sqrt(g^2+1))
j=integral(h,x,0,2*pi)
j

Here is the response from Sage:

integrate(sqrt(cos(x)^2 + 1), x, 0, 2*pi)

This looks like Sage can't perform the integration, and it seems the
sqrt is the problem, although it doesn't flag any sort of error. In
the web page I give above, the problem is solved with MAPLE... so I am
not sure why Sage has a problem with it?

I suspect I am missing something or doing something stupid. Can anyone
enlighten me please?

Thanks,

swulf

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