How do I coerce integrate(a/(a**2+b*a+b*c*x**2),x) to yield.
This may be a double post.
Sqrt[b] Sqrt[c] x
Sqrt[a] ArcTan[-------------------]
Sqrt[a] Sqrt[a + b]
-----------------------------------
Sqrt[b] Sqrt[a + b] Sqrt[c]
Rather than:
var('x,a,b,c')
integrate(a/(a**2+b*a+b*c*x**2),x)
a*((-b*c/(4*a*b**3*c**2 + 4*a**2*b**2*c**2))**(1/2)*log(x + (-b*c/
(4*a*b**3*c**2 + 4*a**2*b**2*c**2))**(1/2)*(2*a*b + 2*a**2)) - (-b*c/
(4*a*b**3*c**2 + 4*a**2*b**2*c**2))**(1/2)*log(x - (-b*c/
(4*a*b**3*c**2 + 4*a**2*b**2*c**2))**(1/2)*(2*a*b + 2*a**2))
Thanks
Scott
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