Problem:

Find an indefinite integral (which can vary by a constant) of the following function:

$\frac{42 x}{\sqrt{5} \sqrt{42 x^2-41}}-\frac{5346}{625} x \left(11 x^2+4\right)^4$

from sympy import *

x = symbols('x')
f = ((42*x)/(sqrt(5)*sqrt(42*x**2-41)))-(5346/625)*x*(11*x**2+4)**4
print(integrate(f, x))
