Symbol should be upper case.  Other than that everything is fine.  You also
might want to update your sympy version at some point

In [1]: from sympy import *
In [2]: x = Symbol('x')

In [3]: d = diff(2 * pow(x, 2), x)
In [4]: d
Out[4]: 4*x

In [5]: length = integrate(sqrt(1 + pow(d, 2)), (x, 5, 10))
In [6]: length
Out[6]: -5*sqrt(401)/2 - asinh(20)/8 + asinh(40)/8 + 5*sqrt(1601)



On Sat, Apr 5, 2014 at 4:00 AM, Groover <[email protected]> wrote:

> Hello,
>
> It's been 20 years since I did any calculus, so please be gentle. :)
>
> Using SymPy 0.7.2 and IronPython 2.7.4.
>
> import sympy
> from sympy import *
>
> # calculate arc length
> x = symbol('x')
> d = diff(2 * pow(x, 2), x)
> print d
> length = integrate(sqrt(1 + pow(d, 2)), (x, 5, 10))
> print length
>
> This outputs '4*x' as expected then 'zip() argument after * must be a
> sequence, not dictionary-itemiterator'.
>
> I believe the integration is solvable to 75.173 [1], so I assume I have an
> error in my Python and/or SymPy syntax. Can anyone please give me some
> pointers? Thanks!
>
> [1]
> http://www.integral-calculator.com/#expr=sqrt%281%2B%284x%5E2%29%29&ubound=10&lbound=5
>
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