I have opened https://github.com/sympy/sympy/issues/8685 for this, and
debugged the code a little bit and found the problem.

Aaron Meurer

On Tue, Dec 23, 2014 at 5:02 PM, Aaron Meurer <[email protected]> wrote:
> Looks like you found a bug. I get the right result with meijerg=True,
> which forces it to use that algorithm.
>
> Aaron Meurer
>
> On Tue, Dec 23, 2014 at 1:46 PM, Groover <[email protected]> wrote:
>> Hello, I am clearly making a stupid mistake, but what?
>>
>> Arc length calculation:
>>
>> x = Symbol('x')
>>
>> formula = 2 * x**2
>>
>> d = diff(formula, x)
>> i = integrate(sqrt(1 + d**2), (x, 5.0, 10.0))
>>
>>
>> gives a result of 150.087
>>
>> but changing the formula to this:
>>
>> formula = 0.26666 * x**2
>>
>> gives a result of zero. In fact any coefficient less than one gives a result
>> of zero.
>>
>> Thanks, Andy
>>
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