Sympy evaluates integral sign wrong

Question

For an integral calculation, Sympy evaluates the same result as me and wolframalpha with a negative sign.

The integral I am evaluating is strictly positive so it can't have a negative value. My first assumption was that either sympy misunderstood the integral limits or I put them in the wrong order, thus giving me the negative result. So I tried

g=x**2
print((sympy.integrate(g, (x, 1/2**.5, 1))).evalf())

which is evaluated perfectly.

Here is my full code, including my function.

import sympy
import matplotlib.pyplot as plt
import numpy as np
sympy.init_printing(use_unicode=False, wrap_line=False, no_global=True)
x = sympy.symbols('x')

f=(1-x**2)**(.5)/(4*x)
print((sympy.integrate(f, (x, 1/2**.5, 1))).evalf())

x1=np.linspace(1/2**.5,1,10000)
f1=np.asarray(list(map(lambda a: (1-a**2)**(.5)/(4*a),x1)))

print(sum(f1)*(x1[1]-x1[0])) #my evaluation, close to wolframalpha
plt.plot(x1,f1) #f1 is fully positive.
plt.show()

Thanks in advance.