A physics teacher on an online course [presented][1] this integral,
$$
= \frac{1}{4\pi\epsilon_0} \frac{Q x}{L}
\int _{-L/2}^{L/2} \left(\frac{dy}{(x^2+y^2)^{3/2}} \right) \hat{x}
$$
and said she solved it with Wolfram Alpha, which gave
$$
= \frac{1}{4\pi\epsilon_0} \frac{Q}{x \sqrt{x^2 +
You can pass the limits to integrate directly:
>>> integrate(1/(x**2+y**2)**Rational(3,2), (y, -L/2, L/2))
L/(x**3*sqrt(L**2/(4*x**2) + 1))
It's generally recommended to do this as it isn't always correct to
substitute the upper and lower values directly. However, this result
is equivalent to
On Fri, 19 Oct 2018 at 22:09, Aaron Meurer wrote:
>
> You can pass the limits to integrate directly:
>
> >>> integrate(1/(x**2+y**2)**Rational(3,2), (y, -L/2, L/2))
> L/(x**3*sqrt(L**2/(4*x**2) + 1))
>
> It's generally recommended to do this as it isn't always correct to
> substitute the upper
On Fri, 19 Oct 2018 at 17:17, bb wrote:
>
> A physics teacher on an online course [presented][1] this integral,
I haven't looked at the video but...
> from sympy import integrate, sqrt, Symbol, pprint
> y = Symbol('y')
> x = Symbol('x')
> print (integrate('1/
