1,1,333,0,1.853901," ","integrate((B*x+A)*(c*x**2+b*x+a)/(f*x**2+d),x)","\frac{B c x^{2}}{2 f} + x \left(\frac{A c}{f} + \frac{B b}{f}\right) + \left(\frac{A b f + B a f - B c d}{2 f^{2}} - \frac{\sqrt{- d f^{5}} \left(A a f - A c d - B b d\right)}{2 d f^{4}}\right) \log{\left(x + \frac{- A b d f - B a d f + B c d^{2} + 2 d f^{2} \left(\frac{A b f + B a f - B c d}{2 f^{2}} - \frac{\sqrt{- d f^{5}} \left(A a f - A c d - B b d\right)}{2 d f^{4}}\right)}{A a f^{2} - A c d f - B b d f} \right)} + \left(\frac{A b f + B a f - B c d}{2 f^{2}} + \frac{\sqrt{- d f^{5}} \left(A a f - A c d - B b d\right)}{2 d f^{4}}\right) \log{\left(x + \frac{- A b d f - B a d f + B c d^{2} + 2 d f^{2} \left(\frac{A b f + B a f - B c d}{2 f^{2}} + \frac{\sqrt{- d f^{5}} \left(A a f - A c d - B b d\right)}{2 d f^{4}}\right)}{A a f^{2} - A c d f - B b d f} \right)}"," ",0,"B*c*x**2/(2*f) + x*(A*c/f + B*b/f) + ((A*b*f + B*a*f - B*c*d)/(2*f**2) - sqrt(-d*f**5)*(A*a*f - A*c*d - B*b*d)/(2*d*f**4))*log(x + (-A*b*d*f - B*a*d*f + B*c*d**2 + 2*d*f**2*((A*b*f + B*a*f - B*c*d)/(2*f**2) - sqrt(-d*f**5)*(A*a*f - A*c*d - B*b*d)/(2*d*f**4)))/(A*a*f**2 - A*c*d*f - B*b*d*f)) + ((A*b*f + B*a*f - B*c*d)/(2*f**2) + sqrt(-d*f**5)*(A*a*f - A*c*d - B*b*d)/(2*d*f**4))*log(x + (-A*b*d*f - B*a*d*f + B*c*d**2 + 2*d*f**2*((A*b*f + B*a*f - B*c*d)/(2*f**2) + sqrt(-d*f**5)*(A*a*f - A*c*d - B*b*d)/(2*d*f**4)))/(A*a*f**2 - A*c*d*f - B*b*d*f))","B",0
2,1,933,0,7.872671," ","integrate((B*x+A)*(c*x**2+b*x+a)**2/(f*x**2+d),x)","\frac{B c^{2} x^{4}}{4 f} + x^{3} \left(\frac{A c^{2}}{3 f} + \frac{2 B b c}{3 f}\right) + x^{2} \left(\frac{A b c}{f} + \frac{B a c}{f} + \frac{B b^{2}}{2 f} - \frac{B c^{2} d}{2 f^{2}}\right) + x \left(\frac{2 A a c}{f} + \frac{A b^{2}}{f} - \frac{A c^{2} d}{f^{2}} + \frac{2 B a b}{f} - \frac{2 B b c d}{f^{2}}\right) + \left(\frac{2 A a b f^{2} - 2 A b c d f + B a^{2} f^{2} - 2 B a c d f - B b^{2} d f + B c^{2} d^{2}}{2 f^{3}} - \frac{\sqrt{- d f^{7}} \left(A a^{2} f^{2} - 2 A a c d f - A b^{2} d f + A c^{2} d^{2} - 2 B a b d f + 2 B b c d^{2}\right)}{2 d f^{6}}\right) \log{\left(x + \frac{- 2 A a b d f^{2} + 2 A b c d^{2} f - B a^{2} d f^{2} + 2 B a c d^{2} f + B b^{2} d^{2} f - B c^{2} d^{3} + 2 d f^{3} \left(\frac{2 A a b f^{2} - 2 A b c d f + B a^{2} f^{2} - 2 B a c d f - B b^{2} d f + B c^{2} d^{2}}{2 f^{3}} - \frac{\sqrt{- d f^{7}} \left(A a^{2} f^{2} - 2 A a c d f - A b^{2} d f + A c^{2} d^{2} - 2 B a b d f + 2 B b c d^{2}\right)}{2 d f^{6}}\right)}{A a^{2} f^{3} - 2 A a c d f^{2} - A b^{2} d f^{2} + A c^{2} d^{2} f - 2 B a b d f^{2} + 2 B b c d^{2} f} \right)} + \left(\frac{2 A a b f^{2} - 2 A b c d f + B a^{2} f^{2} - 2 B a c d f - B b^{2} d f + B c^{2} d^{2}}{2 f^{3}} + \frac{\sqrt{- d f^{7}} \left(A a^{2} f^{2} - 2 A a c d f - A b^{2} d f + A c^{2} d^{2} - 2 B a b d f + 2 B b c d^{2}\right)}{2 d f^{6}}\right) \log{\left(x + \frac{- 2 A a b d f^{2} + 2 A b c d^{2} f - B a^{2} d f^{2} + 2 B a c d^{2} f + B b^{2} d^{2} f - B c^{2} d^{3} + 2 d f^{3} \left(\frac{2 A a b f^{2} - 2 A b c d f + B a^{2} f^{2} - 2 B a c d f - B b^{2} d f + B c^{2} d^{2}}{2 f^{3}} + \frac{\sqrt{- d f^{7}} \left(A a^{2} f^{2} - 2 A a c d f - A b^{2} d f + A c^{2} d^{2} - 2 B a b d f + 2 B b c d^{2}\right)}{2 d f^{6}}\right)}{A a^{2} f^{3} - 2 A a c d f^{2} - A b^{2} d f^{2} + A c^{2} d^{2} f - 2 B a b d f^{2} + 2 B b c d^{2} f} \right)}"," ",0,"B*c**2*x**4/(4*f) + x**3*(A*c**2/(3*f) + 2*B*b*c/(3*f)) + x**2*(A*b*c/f + B*a*c/f + B*b**2/(2*f) - B*c**2*d/(2*f**2)) + x*(2*A*a*c/f + A*b**2/f - A*c**2*d/f**2 + 2*B*a*b/f - 2*B*b*c*d/f**2) + ((2*A*a*b*f**2 - 2*A*b*c*d*f + B*a**2*f**2 - 2*B*a*c*d*f - B*b**2*d*f + B*c**2*d**2)/(2*f**3) - sqrt(-d*f**7)*(A*a**2*f**2 - 2*A*a*c*d*f - A*b**2*d*f + A*c**2*d**2 - 2*B*a*b*d*f + 2*B*b*c*d**2)/(2*d*f**6))*log(x + (-2*A*a*b*d*f**2 + 2*A*b*c*d**2*f - B*a**2*d*f**2 + 2*B*a*c*d**2*f + B*b**2*d**2*f - B*c**2*d**3 + 2*d*f**3*((2*A*a*b*f**2 - 2*A*b*c*d*f + B*a**2*f**2 - 2*B*a*c*d*f - B*b**2*d*f + B*c**2*d**2)/(2*f**3) - sqrt(-d*f**7)*(A*a**2*f**2 - 2*A*a*c*d*f - A*b**2*d*f + A*c**2*d**2 - 2*B*a*b*d*f + 2*B*b*c*d**2)/(2*d*f**6)))/(A*a**2*f**3 - 2*A*a*c*d*f**2 - A*b**2*d*f**2 + A*c**2*d**2*f - 2*B*a*b*d*f**2 + 2*B*b*c*d**2*f)) + ((2*A*a*b*f**2 - 2*A*b*c*d*f + B*a**2*f**2 - 2*B*a*c*d*f - B*b**2*d*f + B*c**2*d**2)/(2*f**3) + sqrt(-d*f**7)*(A*a**2*f**2 - 2*A*a*c*d*f - A*b**2*d*f + A*c**2*d**2 - 2*B*a*b*d*f + 2*B*b*c*d**2)/(2*d*f**6))*log(x + (-2*A*a*b*d*f**2 + 2*A*b*c*d**2*f - B*a**2*d*f**2 + 2*B*a*c*d**2*f + B*b**2*d**2*f - B*c**2*d**3 + 2*d*f**3*((2*A*a*b*f**2 - 2*A*b*c*d*f + B*a**2*f**2 - 2*B*a*c*d*f - B*b**2*d*f + B*c**2*d**2)/(2*f**3) + sqrt(-d*f**7)*(A*a**2*f**2 - 2*A*a*c*d*f - A*b**2*d*f + A*c**2*d**2 - 2*B*a*b*d*f + 2*B*b*c*d**2)/(2*d*f**6)))/(A*a**2*f**3 - 2*A*a*c*d*f**2 - A*b**2*d*f**2 + A*c**2*d**2*f - 2*B*a*b*d*f**2 + 2*B*b*c*d**2*f))","B",0
3,1,1962,0,23.622671," ","integrate((B*x+A)*(c*x**2+b*x+a)**3/(f*x**2+d),x)","\frac{B c^{3} x^{6}}{6 f} + x^{5} \left(\frac{A c^{3}}{5 f} + \frac{3 B b c^{2}}{5 f}\right) + x^{4} \left(\frac{3 A b c^{2}}{4 f} + \frac{3 B a c^{2}}{4 f} + \frac{3 B b^{2} c}{4 f} - \frac{B c^{3} d}{4 f^{2}}\right) + x^{3} \left(\frac{A a c^{2}}{f} + \frac{A b^{2} c}{f} - \frac{A c^{3} d}{3 f^{2}} + \frac{2 B a b c}{f} + \frac{B b^{3}}{3 f} - \frac{B b c^{2} d}{f^{2}}\right) + x^{2} \left(\frac{3 A a b c}{f} + \frac{A b^{3}}{2 f} - \frac{3 A b c^{2} d}{2 f^{2}} + \frac{3 B a^{2} c}{2 f} + \frac{3 B a b^{2}}{2 f} - \frac{3 B a c^{2} d}{2 f^{2}} - \frac{3 B b^{2} c d}{2 f^{2}} + \frac{B c^{3} d^{2}}{2 f^{3}}\right) + x \left(\frac{3 A a^{2} c}{f} + \frac{3 A a b^{2}}{f} - \frac{3 A a c^{2} d}{f^{2}} - \frac{3 A b^{2} c d}{f^{2}} + \frac{A c^{3} d^{2}}{f^{3}} + \frac{3 B a^{2} b}{f} - \frac{6 B a b c d}{f^{2}} - \frac{B b^{3} d}{f^{2}} + \frac{3 B b c^{2} d^{2}}{f^{3}}\right) + \left(\frac{3 A a^{2} b f^{3} - 6 A a b c d f^{2} - A b^{3} d f^{2} + 3 A b c^{2} d^{2} f + B a^{3} f^{3} - 3 B a^{2} c d f^{2} - 3 B a b^{2} d f^{2} + 3 B a c^{2} d^{2} f + 3 B b^{2} c d^{2} f - B c^{3} d^{3}}{2 f^{4}} - \frac{\sqrt{- d f^{9}} \left(A a^{3} f^{3} - 3 A a^{2} c d f^{2} - 3 A a b^{2} d f^{2} + 3 A a c^{2} d^{2} f + 3 A b^{2} c d^{2} f - A c^{3} d^{3} - 3 B a^{2} b d f^{2} + 6 B a b c d^{2} f + B b^{3} d^{2} f - 3 B b c^{2} d^{3}\right)}{2 d f^{8}}\right) \log{\left(x + \frac{- 3 A a^{2} b d f^{3} + 6 A a b c d^{2} f^{2} + A b^{3} d^{2} f^{2} - 3 A b c^{2} d^{3} f - B a^{3} d f^{3} + 3 B a^{2} c d^{2} f^{2} + 3 B a b^{2} d^{2} f^{2} - 3 B a c^{2} d^{3} f - 3 B b^{2} c d^{3} f + B c^{3} d^{4} + 2 d f^{4} \left(\frac{3 A a^{2} b f^{3} - 6 A a b c d f^{2} - A b^{3} d f^{2} + 3 A b c^{2} d^{2} f + B a^{3} f^{3} - 3 B a^{2} c d f^{2} - 3 B a b^{2} d f^{2} + 3 B a c^{2} d^{2} f + 3 B b^{2} c d^{2} f - B c^{3} d^{3}}{2 f^{4}} - \frac{\sqrt{- d f^{9}} \left(A a^{3} f^{3} - 3 A a^{2} c d f^{2} - 3 A a b^{2} d f^{2} + 3 A a c^{2} d^{2} f + 3 A b^{2} c d^{2} f - A c^{3} d^{3} - 3 B a^{2} b d f^{2} + 6 B a b c d^{2} f + B b^{3} d^{2} f - 3 B b c^{2} d^{3}\right)}{2 d f^{8}}\right)}{A a^{3} f^{4} - 3 A a^{2} c d f^{3} - 3 A a b^{2} d f^{3} + 3 A a c^{2} d^{2} f^{2} + 3 A b^{2} c d^{2} f^{2} - A c^{3} d^{3} f - 3 B a^{2} b d f^{3} + 6 B a b c d^{2} f^{2} + B b^{3} d^{2} f^{2} - 3 B b c^{2} d^{3} f} \right)} + \left(\frac{3 A a^{2} b f^{3} - 6 A a b c d f^{2} - A b^{3} d f^{2} + 3 A b c^{2} d^{2} f + B a^{3} f^{3} - 3 B a^{2} c d f^{2} - 3 B a b^{2} d f^{2} + 3 B a c^{2} d^{2} f + 3 B b^{2} c d^{2} f - B c^{3} d^{3}}{2 f^{4}} + \frac{\sqrt{- d f^{9}} \left(A a^{3} f^{3} - 3 A a^{2} c d f^{2} - 3 A a b^{2} d f^{2} + 3 A a c^{2} d^{2} f + 3 A b^{2} c d^{2} f - A c^{3} d^{3} - 3 B a^{2} b d f^{2} + 6 B a b c d^{2} f + B b^{3} d^{2} f - 3 B b c^{2} d^{3}\right)}{2 d f^{8}}\right) \log{\left(x + \frac{- 3 A a^{2} b d f^{3} + 6 A a b c d^{2} f^{2} + A b^{3} d^{2} f^{2} - 3 A b c^{2} d^{3} f - B a^{3} d f^{3} + 3 B a^{2} c d^{2} f^{2} + 3 B a b^{2} d^{2} f^{2} - 3 B a c^{2} d^{3} f - 3 B b^{2} c d^{3} f + B c^{3} d^{4} + 2 d f^{4} \left(\frac{3 A a^{2} b f^{3} - 6 A a b c d f^{2} - A b^{3} d f^{2} + 3 A b c^{2} d^{2} f + B a^{3} f^{3} - 3 B a^{2} c d f^{2} - 3 B a b^{2} d f^{2} + 3 B a c^{2} d^{2} f + 3 B b^{2} c d^{2} f - B c^{3} d^{3}}{2 f^{4}} + \frac{\sqrt{- d f^{9}} \left(A a^{3} f^{3} - 3 A a^{2} c d f^{2} - 3 A a b^{2} d f^{2} + 3 A a c^{2} d^{2} f + 3 A b^{2} c d^{2} f - A c^{3} d^{3} - 3 B a^{2} b d f^{2} + 6 B a b c d^{2} f + B b^{3} d^{2} f - 3 B b c^{2} d^{3}\right)}{2 d f^{8}}\right)}{A a^{3} f^{4} - 3 A a^{2} c d f^{3} - 3 A a b^{2} d f^{3} + 3 A a c^{2} d^{2} f^{2} + 3 A b^{2} c d^{2} f^{2} - A c^{3} d^{3} f - 3 B a^{2} b d f^{3} + 6 B a b c d^{2} f^{2} + B b^{3} d^{2} f^{2} - 3 B b c^{2} d^{3} f} \right)}"," ",0,"B*c**3*x**6/(6*f) + x**5*(A*c**3/(5*f) + 3*B*b*c**2/(5*f)) + x**4*(3*A*b*c**2/(4*f) + 3*B*a*c**2/(4*f) + 3*B*b**2*c/(4*f) - B*c**3*d/(4*f**2)) + x**3*(A*a*c**2/f + A*b**2*c/f - A*c**3*d/(3*f**2) + 2*B*a*b*c/f + B*b**3/(3*f) - B*b*c**2*d/f**2) + x**2*(3*A*a*b*c/f + A*b**3/(2*f) - 3*A*b*c**2*d/(2*f**2) + 3*B*a**2*c/(2*f) + 3*B*a*b**2/(2*f) - 3*B*a*c**2*d/(2*f**2) - 3*B*b**2*c*d/(2*f**2) + B*c**3*d**2/(2*f**3)) + x*(3*A*a**2*c/f + 3*A*a*b**2/f - 3*A*a*c**2*d/f**2 - 3*A*b**2*c*d/f**2 + A*c**3*d**2/f**3 + 3*B*a**2*b/f - 6*B*a*b*c*d/f**2 - B*b**3*d/f**2 + 3*B*b*c**2*d**2/f**3) + ((3*A*a**2*b*f**3 - 6*A*a*b*c*d*f**2 - A*b**3*d*f**2 + 3*A*b*c**2*d**2*f + B*a**3*f**3 - 3*B*a**2*c*d*f**2 - 3*B*a*b**2*d*f**2 + 3*B*a*c**2*d**2*f + 3*B*b**2*c*d**2*f - B*c**3*d**3)/(2*f**4) - sqrt(-d*f**9)*(A*a**3*f**3 - 3*A*a**2*c*d*f**2 - 3*A*a*b**2*d*f**2 + 3*A*a*c**2*d**2*f + 3*A*b**2*c*d**2*f - A*c**3*d**3 - 3*B*a**2*b*d*f**2 + 6*B*a*b*c*d**2*f + B*b**3*d**2*f - 3*B*b*c**2*d**3)/(2*d*f**8))*log(x + (-3*A*a**2*b*d*f**3 + 6*A*a*b*c*d**2*f**2 + A*b**3*d**2*f**2 - 3*A*b*c**2*d**3*f - B*a**3*d*f**3 + 3*B*a**2*c*d**2*f**2 + 3*B*a*b**2*d**2*f**2 - 3*B*a*c**2*d**3*f - 3*B*b**2*c*d**3*f + B*c**3*d**4 + 2*d*f**4*((3*A*a**2*b*f**3 - 6*A*a*b*c*d*f**2 - A*b**3*d*f**2 + 3*A*b*c**2*d**2*f + B*a**3*f**3 - 3*B*a**2*c*d*f**2 - 3*B*a*b**2*d*f**2 + 3*B*a*c**2*d**2*f + 3*B*b**2*c*d**2*f - B*c**3*d**3)/(2*f**4) - sqrt(-d*f**9)*(A*a**3*f**3 - 3*A*a**2*c*d*f**2 - 3*A*a*b**2*d*f**2 + 3*A*a*c**2*d**2*f + 3*A*b**2*c*d**2*f - A*c**3*d**3 - 3*B*a**2*b*d*f**2 + 6*B*a*b*c*d**2*f + B*b**3*d**2*f - 3*B*b*c**2*d**3)/(2*d*f**8)))/(A*a**3*f**4 - 3*A*a**2*c*d*f**3 - 3*A*a*b**2*d*f**3 + 3*A*a*c**2*d**2*f**2 + 3*A*b**2*c*d**2*f**2 - A*c**3*d**3*f - 3*B*a**2*b*d*f**3 + 6*B*a*b*c*d**2*f**2 + B*b**3*d**2*f**2 - 3*B*b*c**2*d**3*f)) + ((3*A*a**2*b*f**3 - 6*A*a*b*c*d*f**2 - A*b**3*d*f**2 + 3*A*b*c**2*d**2*f + B*a**3*f**3 - 3*B*a**2*c*d*f**2 - 3*B*a*b**2*d*f**2 + 3*B*a*c**2*d**2*f + 3*B*b**2*c*d**2*f - B*c**3*d**3)/(2*f**4) + sqrt(-d*f**9)*(A*a**3*f**3 - 3*A*a**2*c*d*f**2 - 3*A*a*b**2*d*f**2 + 3*A*a*c**2*d**2*f + 3*A*b**2*c*d**2*f - A*c**3*d**3 - 3*B*a**2*b*d*f**2 + 6*B*a*b*c*d**2*f + B*b**3*d**2*f - 3*B*b*c**2*d**3)/(2*d*f**8))*log(x + (-3*A*a**2*b*d*f**3 + 6*A*a*b*c*d**2*f**2 + A*b**3*d**2*f**2 - 3*A*b*c**2*d**3*f - B*a**3*d*f**3 + 3*B*a**2*c*d**2*f**2 + 3*B*a*b**2*d**2*f**2 - 3*B*a*c**2*d**3*f - 3*B*b**2*c*d**3*f + B*c**3*d**4 + 2*d*f**4*((3*A*a**2*b*f**3 - 6*A*a*b*c*d*f**2 - A*b**3*d*f**2 + 3*A*b*c**2*d**2*f + B*a**3*f**3 - 3*B*a**2*c*d*f**2 - 3*B*a*b**2*d*f**2 + 3*B*a*c**2*d**2*f + 3*B*b**2*c*d**2*f - B*c**3*d**3)/(2*f**4) + sqrt(-d*f**9)*(A*a**3*f**3 - 3*A*a**2*c*d*f**2 - 3*A*a*b**2*d*f**2 + 3*A*a*c**2*d**2*f + 3*A*b**2*c*d**2*f - A*c**3*d**3 - 3*B*a**2*b*d*f**2 + 6*B*a*b*c*d**2*f + B*b**3*d**2*f - 3*B*b*c**2*d**3)/(2*d*f**8)))/(A*a**3*f**4 - 3*A*a**2*c*d*f**3 - 3*A*a*b**2*d*f**3 + 3*A*a*c**2*d**2*f**2 + 3*A*b**2*c*d**2*f**2 - A*c**3*d**3*f - 3*B*a**2*b*d*f**3 + 6*B*a*b*c*d**2*f**2 + B*b**3*d**2*f**2 - 3*B*b*c**2*d**3*f))","B",0
4,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)/(f*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
5,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)**2/(f*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,0,0,0,0.000000," ","integrate((B*x+A)*(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{A \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{B x \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(A*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(B*x*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
7,0,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{A}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx - \int \frac{B x}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(A/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x) - Integral(B*x/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
8,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)**(5/2)/(-f*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
10,0,0,0,0.000000," ","integrate((1+2*x)/(x**2-1)/(x**2+x-1)**(1/2),x)","\int \frac{2 x + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{2} + x - 1}}\, dx"," ",0,"Integral((2*x + 1)/((x - 1)*(x + 1)*sqrt(x**2 + x - 1)), x)","F",0
11,0,0,0,0.000000," ","integrate((1+2*x)/(x**2+1)/(x**2+x-1)**(1/2),x)","\int \frac{2 x + 1}{\left(x^{2} + 1\right) \sqrt{x^{2} + x - 1}}\, dx"," ",0,"Integral((2*x + 1)/((x**2 + 1)*sqrt(x**2 + x - 1)), x)","F",0
12,0,0,0,0.000000," ","integrate((b*x+a-c)/(x**2+1)/(c*x**2+b*x+a)**(1/2),x)","\int \frac{a + b x - c}{\left(x^{2} + 1\right) \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral((a + b*x - c)/((x**2 + 1)*sqrt(a + b*x + c*x**2)), x)","F",0
13,1,1260,0,16.650727," ","integrate((B*x+A)*(c*x**2+b*x+a)/(f*x**2+e*x+d),x)","\frac{B c x^{2}}{2 f} + x \left(\frac{A c}{f} + \frac{B b}{f} - \frac{B c e}{f^{2}}\right) + \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right) \log{\left(x + \frac{- A a e f^{2} + 2 A b d f^{2} - A c d e f + 2 B a d f^{2} - B b d e f - 2 B c d^{2} f + B c d e^{2} - 4 d f^{3} \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right) + e^{2} f^{2} \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right)}{- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}} \right)} + \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right) \log{\left(x + \frac{- A a e f^{2} + 2 A b d f^{2} - A c d e f + 2 B a d f^{2} - B b d e f - 2 B c d^{2} f + B c d e^{2} - 4 d f^{3} \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right) + e^{2} f^{2} \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}\right)}{2 f^{3} \left(4 d f - e^{2}\right)} + \frac{A b f^{2} - A c e f + B a f^{2} - B b e f - B c d f + B c e^{2}}{2 f^{3}}\right)}{- 2 A a f^{3} + A b e f^{2} + 2 A c d f^{2} - A c e^{2} f + B a e f^{2} + 2 B b d f^{2} - B b e^{2} f - 3 B c d e f + B c e^{3}} \right)}"," ",0,"B*c*x**2/(2*f) + x*(A*c/f + B*b/f - B*c*e/f**2) + (-sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3))*log(x + (-A*a*e*f**2 + 2*A*b*d*f**2 - A*c*d*e*f + 2*B*a*d*f**2 - B*b*d*e*f - 2*B*c*d**2*f + B*c*d*e**2 - 4*d*f**3*(-sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3)) + e**2*f**2*(-sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3)))/(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)) + (sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3))*log(x + (-A*a*e*f**2 + 2*A*b*d*f**2 - A*c*d*e*f + 2*B*a*d*f**2 - B*b*d*e*f - 2*B*c*d**2*f + B*c*d*e**2 - 4*d*f**3*(sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3)) + e**2*f**2*(sqrt(-4*d*f + e**2)*(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3)/(2*f**3*(4*d*f - e**2)) + (A*b*f**2 - A*c*e*f + B*a*f**2 - B*b*e*f - B*c*d*f + B*c*e**2)/(2*f**3)))/(-2*A*a*f**3 + A*b*e*f**2 + 2*A*c*d*f**2 - A*c*e**2*f + B*a*e*f**2 + 2*B*b*d*f**2 - B*b*e**2*f - 3*B*c*d*e*f + B*c*e**3))","B",0
14,1,4663,0,145.638132," ","integrate((B*x+A)*(c*x**2+b*x+a)**2/(f*x**2+e*x+d),x)","\frac{B c^{2} x^{4}}{4 f} + x^{3} \left(\frac{A c^{2}}{3 f} + \frac{2 B b c}{3 f} - \frac{B c^{2} e}{3 f^{2}}\right) + x^{2} \left(\frac{A b c}{f} - \frac{A c^{2} e}{2 f^{2}} + \frac{B a c}{f} + \frac{B b^{2}}{2 f} - \frac{B b c e}{f^{2}} - \frac{B c^{2} d}{2 f^{2}} + \frac{B c^{2} e^{2}}{2 f^{3}}\right) + x \left(\frac{2 A a c}{f} + \frac{A b^{2}}{f} - \frac{2 A b c e}{f^{2}} - \frac{A c^{2} d}{f^{2}} + \frac{A c^{2} e^{2}}{f^{3}} + \frac{2 B a b}{f} - \frac{2 B a c e}{f^{2}} - \frac{B b^{2} e}{f^{2}} - \frac{2 B b c d}{f^{2}} + \frac{2 B b c e^{2}}{f^{3}} + \frac{2 B c^{2} d e}{f^{3}} - \frac{B c^{2} e^{3}}{f^{4}}\right) + \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right) \log{\left(x + \frac{- A a^{2} e f^{4} + 4 A a b d f^{4} - 2 A a c d e f^{3} - A b^{2} d e f^{3} - 4 A b c d^{2} f^{3} + 2 A b c d e^{2} f^{2} + 3 A c^{2} d^{2} e f^{2} - A c^{2} d e^{3} f + 2 B a^{2} d f^{4} - 2 B a b d e f^{3} - 4 B a c d^{2} f^{3} + 2 B a c d e^{2} f^{2} - 2 B b^{2} d^{2} f^{3} + B b^{2} d e^{2} f^{2} + 6 B b c d^{2} e f^{2} - 2 B b c d e^{3} f + 2 B c^{2} d^{3} f^{2} - 4 B c^{2} d^{2} e^{2} f + B c^{2} d e^{4} - 4 d f^{5} \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right) + e^{2} f^{4} \left(- \frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right)}{- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}} \right)} + \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right) \log{\left(x + \frac{- A a^{2} e f^{4} + 4 A a b d f^{4} - 2 A a c d e f^{3} - A b^{2} d e f^{3} - 4 A b c d^{2} f^{3} + 2 A b c d e^{2} f^{2} + 3 A c^{2} d^{2} e f^{2} - A c^{2} d e^{3} f + 2 B a^{2} d f^{4} - 2 B a b d e f^{3} - 4 B a c d^{2} f^{3} + 2 B a c d e^{2} f^{2} - 2 B b^{2} d^{2} f^{3} + B b^{2} d e^{2} f^{2} + 6 B b c d^{2} e f^{2} - 2 B b c d e^{3} f + 2 B c^{2} d^{3} f^{2} - 4 B c^{2} d^{2} e^{2} f + B c^{2} d e^{4} - 4 d f^{5} \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right) + e^{2} f^{4} \left(\frac{\sqrt{- 4 d f + e^{2}} \left(- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}\right)}{2 f^{5} \left(4 d f - e^{2}\right)} + \frac{2 A a b f^{4} - 2 A a c e f^{3} - A b^{2} e f^{3} - 2 A b c d f^{3} + 2 A b c e^{2} f^{2} + 2 A c^{2} d e f^{2} - A c^{2} e^{3} f + B a^{2} f^{4} - 2 B a b e f^{3} - 2 B a c d f^{3} + 2 B a c e^{2} f^{2} - B b^{2} d f^{3} + B b^{2} e^{2} f^{2} + 4 B b c d e f^{2} - 2 B b c e^{3} f + B c^{2} d^{2} f^{2} - 3 B c^{2} d e^{2} f + B c^{2} e^{4}}{2 f^{5}}\right)}{- 2 A a^{2} f^{5} + 2 A a b e f^{4} + 4 A a c d f^{4} - 2 A a c e^{2} f^{3} + 2 A b^{2} d f^{4} - A b^{2} e^{2} f^{3} - 6 A b c d e f^{3} + 2 A b c e^{3} f^{2} - 2 A c^{2} d^{2} f^{3} + 4 A c^{2} d e^{2} f^{2} - A c^{2} e^{4} f + B a^{2} e f^{4} + 4 B a b d f^{4} - 2 B a b e^{2} f^{3} - 6 B a c d e f^{3} + 2 B a c e^{3} f^{2} - 3 B b^{2} d e f^{3} + B b^{2} e^{3} f^{2} - 4 B b c d^{2} f^{3} + 8 B b c d e^{2} f^{2} - 2 B b c e^{4} f + 5 B c^{2} d^{2} e f^{2} - 5 B c^{2} d e^{3} f + B c^{2} e^{5}} \right)}"," ",0,"B*c**2*x**4/(4*f) + x**3*(A*c**2/(3*f) + 2*B*b*c/(3*f) - B*c**2*e/(3*f**2)) + x**2*(A*b*c/f - A*c**2*e/(2*f**2) + B*a*c/f + B*b**2/(2*f) - B*b*c*e/f**2 - B*c**2*d/(2*f**2) + B*c**2*e**2/(2*f**3)) + x*(2*A*a*c/f + A*b**2/f - 2*A*b*c*e/f**2 - A*c**2*d/f**2 + A*c**2*e**2/f**3 + 2*B*a*b/f - 2*B*a*c*e/f**2 - B*b**2*e/f**2 - 2*B*b*c*d/f**2 + 2*B*b*c*e**2/f**3 + 2*B*c**2*d*e/f**3 - B*c**2*e**3/f**4) + (-sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5))*log(x + (-A*a**2*e*f**4 + 4*A*a*b*d*f**4 - 2*A*a*c*d*e*f**3 - A*b**2*d*e*f**3 - 4*A*b*c*d**2*f**3 + 2*A*b*c*d*e**2*f**2 + 3*A*c**2*d**2*e*f**2 - A*c**2*d*e**3*f + 2*B*a**2*d*f**4 - 2*B*a*b*d*e*f**3 - 4*B*a*c*d**2*f**3 + 2*B*a*c*d*e**2*f**2 - 2*B*b**2*d**2*f**3 + B*b**2*d*e**2*f**2 + 6*B*b*c*d**2*e*f**2 - 2*B*b*c*d*e**3*f + 2*B*c**2*d**3*f**2 - 4*B*c**2*d**2*e**2*f + B*c**2*d*e**4 - 4*d*f**5*(-sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5)) + e**2*f**4*(-sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5)))/(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)) + (sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5))*log(x + (-A*a**2*e*f**4 + 4*A*a*b*d*f**4 - 2*A*a*c*d*e*f**3 - A*b**2*d*e*f**3 - 4*A*b*c*d**2*f**3 + 2*A*b*c*d*e**2*f**2 + 3*A*c**2*d**2*e*f**2 - A*c**2*d*e**3*f + 2*B*a**2*d*f**4 - 2*B*a*b*d*e*f**3 - 4*B*a*c*d**2*f**3 + 2*B*a*c*d*e**2*f**2 - 2*B*b**2*d**2*f**3 + B*b**2*d*e**2*f**2 + 6*B*b*c*d**2*e*f**2 - 2*B*b*c*d*e**3*f + 2*B*c**2*d**3*f**2 - 4*B*c**2*d**2*e**2*f + B*c**2*d*e**4 - 4*d*f**5*(sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5)) + e**2*f**4*(sqrt(-4*d*f + e**2)*(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5)/(2*f**5*(4*d*f - e**2)) + (2*A*a*b*f**4 - 2*A*a*c*e*f**3 - A*b**2*e*f**3 - 2*A*b*c*d*f**3 + 2*A*b*c*e**2*f**2 + 2*A*c**2*d*e*f**2 - A*c**2*e**3*f + B*a**2*f**4 - 2*B*a*b*e*f**3 - 2*B*a*c*d*f**3 + 2*B*a*c*e**2*f**2 - B*b**2*d*f**3 + B*b**2*e**2*f**2 + 4*B*b*c*d*e*f**2 - 2*B*b*c*e**3*f + B*c**2*d**2*f**2 - 3*B*c**2*d*e**2*f + B*c**2*e**4)/(2*f**5)))/(-2*A*a**2*f**5 + 2*A*a*b*e*f**4 + 4*A*a*c*d*f**4 - 2*A*a*c*e**2*f**3 + 2*A*b**2*d*f**4 - A*b**2*e**2*f**3 - 6*A*b*c*d*e*f**3 + 2*A*b*c*e**3*f**2 - 2*A*c**2*d**2*f**3 + 4*A*c**2*d*e**2*f**2 - A*c**2*e**4*f + B*a**2*e*f**4 + 4*B*a*b*d*f**4 - 2*B*a*b*e**2*f**3 - 6*B*a*c*d*e*f**3 + 2*B*a*c*e**3*f**2 - 3*B*b**2*d*e*f**3 + B*b**2*e**3*f**2 - 4*B*b*c*d**2*f**3 + 8*B*b*c*d*e**2*f**2 - 2*B*b*c*e**4*f + 5*B*c**2*d**2*e*f**2 - 5*B*c**2*d*e**3*f + B*c**2*e**5))","B",0
15,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)**2/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,1,709,0,2.436764," ","integrate((h*x+g)/(c*x**2+b*x+a)/(c*d*x**2+b*d*x+a*d)**2,x)","\frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) \log{\left(x + \frac{- 192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{2} c h - 6 b c^{2} g}{6 b c^{2} h - 12 c^{3} g} \right)}}{d^{2}} - \frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) \log{\left(x + \frac{192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{2} c h - 6 b c^{2} g}{6 b c^{2} h - 12 c^{3} g} \right)}}{d^{2}} + \frac{- 8 a^{2} c h - a b^{2} h + 10 a b c g - b^{3} g + x^{3} \left(- 6 b c^{2} h + 12 c^{3} g\right) + x^{2} \left(- 9 b^{2} c h + 18 b c^{2} g\right) + x \left(- 10 a b c h + 20 a c^{2} g - 2 b^{3} h + 4 b^{2} c g\right)}{32 a^{4} c^{2} d^{2} - 16 a^{3} b^{2} c d^{2} + 2 a^{2} b^{4} d^{2} + x^{4} \left(32 a^{2} c^{4} d^{2} - 16 a b^{2} c^{3} d^{2} + 2 b^{4} c^{2} d^{2}\right) + x^{3} \left(64 a^{2} b c^{3} d^{2} - 32 a b^{3} c^{2} d^{2} + 4 b^{5} c d^{2}\right) + x^{2} \left(64 a^{3} c^{3} d^{2} - 12 a b^{4} c d^{2} + 2 b^{6} d^{2}\right) + x \left(64 a^{3} b c^{2} d^{2} - 32 a^{2} b^{3} c d^{2} + 4 a b^{5} d^{2}\right)}"," ",0,"3*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g)*log(x + (-192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**2*c*h - 6*b*c**2*g)/(6*b*c**2*h - 12*c**3*g))/d**2 - 3*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g)*log(x + (192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**2*c*h - 6*b*c**2*g)/(6*b*c**2*h - 12*c**3*g))/d**2 + (-8*a**2*c*h - a*b**2*h + 10*a*b*c*g - b**3*g + x**3*(-6*b*c**2*h + 12*c**3*g) + x**2*(-9*b**2*c*h + 18*b*c**2*g) + x*(-10*a*b*c*h + 20*a*c**2*g - 2*b**3*h + 4*b**2*c*g))/(32*a**4*c**2*d**2 - 16*a**3*b**2*c*d**2 + 2*a**2*b**4*d**2 + x**4*(32*a**2*c**4*d**2 - 16*a*b**2*c**3*d**2 + 2*b**4*c**2*d**2) + x**3*(64*a**2*b*c**3*d**2 - 32*a*b**3*c**2*d**2 + 4*b**5*c*d**2) + x**2*(64*a**3*c**3*d**2 - 12*a*b**4*c*d**2 + 2*b**6*d**2) + x*(64*a**3*b*c**2*d**2 - 32*a**2*b**3*c*d**2 + 4*a*b**5*d**2))","B",0
18,1,680,0,2.259368," ","integrate((h*x+g)/(c*x**2+b*x+a)**2/(c*d*x**2+b*d*x+a*d),x)","\frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) \log{\left(x + \frac{- 192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{2} c h - 6 b c^{2} g}{6 b c^{2} h - 12 c^{3} g} \right)}}{d} - \frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) \log{\left(x + \frac{192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) - 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(b h - 2 c g\right) + 3 b^{2} c h - 6 b c^{2} g}{6 b c^{2} h - 12 c^{3} g} \right)}}{d} + \frac{- 8 a^{2} c h - a b^{2} h + 10 a b c g - b^{3} g + x^{3} \left(- 6 b c^{2} h + 12 c^{3} g\right) + x^{2} \left(- 9 b^{2} c h + 18 b c^{2} g\right) + x \left(- 10 a b c h + 20 a c^{2} g - 2 b^{3} h + 4 b^{2} c g\right)}{32 a^{4} c^{2} d - 16 a^{3} b^{2} c d + 2 a^{2} b^{4} d + x^{4} \left(32 a^{2} c^{4} d - 16 a b^{2} c^{3} d + 2 b^{4} c^{2} d\right) + x^{3} \left(64 a^{2} b c^{3} d - 32 a b^{3} c^{2} d + 4 b^{5} c d\right) + x^{2} \left(64 a^{3} c^{3} d - 12 a b^{4} c d + 2 b^{6} d\right) + x \left(64 a^{3} b c^{2} d - 32 a^{2} b^{3} c d + 4 a b^{5} d\right)}"," ",0,"3*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g)*log(x + (-192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**2*c*h - 6*b*c**2*g)/(6*b*c**2*h - 12*c**3*g))/d - 3*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g)*log(x + (192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) - 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(b*h - 2*c*g) + 3*b**2*c*h - 6*b*c**2*g)/(6*b*c**2*h - 12*c**3*g))/d + (-8*a**2*c*h - a*b**2*h + 10*a*b*c*g - b**3*g + x**3*(-6*b*c**2*h + 12*c**3*g) + x**2*(-9*b**2*c*h + 18*b*c**2*g) + x*(-10*a*b*c*h + 20*a*c**2*g - 2*b**3*h + 4*b**2*c*g))/(32*a**4*c**2*d - 16*a**3*b**2*c*d + 2*a**2*b**4*d + x**4*(32*a**2*c**4*d - 16*a*b**2*c**3*d + 2*b**4*c**2*d) + x**3*(64*a**2*b*c**3*d - 32*a*b**3*c**2*d + 4*b**5*c*d) + x**2*(64*a**3*c**3*d - 12*a*b**4*c*d + 2*b**6*d) + x*(64*a**3*b*c**2*d - 32*a**2*b**3*c*d + 4*a*b**5*d))","B",0
19,0,0,0,0.000000," ","integrate((B*x+A)*(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{\left(A + B x\right) \sqrt{a + b x + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral((A + B*x)*sqrt(a + b*x + c*x**2)/(d + e*x + f*x**2), x)","F",0
20,-1,0,0,0.000000," ","integrate((B*x+A)*(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,0,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)/(f*x**2+e*x+d)**(1/2),x)","\int \frac{A + B x}{\left(a + b x + c x^{2}\right) \sqrt{d + e x + f x^{2}}}\, dx"," ",0,"Integral((A + B*x)/((a + b*x + c*x**2)*sqrt(d + e*x + f*x**2)), x)","F",0
22,0,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+a)/(f*x**2+e*x+d)**(1/2),x)","\int \frac{A + B x}{\left(a + c x^{2}\right) \sqrt{d + e x + f x^{2}}}\, dx"," ",0,"Integral((A + B*x)/((a + c*x**2)*sqrt(d + e*x + f*x**2)), x)","F",0
23,0,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+b*x+a)/(f*x**2+d)**(1/2),x)","\int \frac{A + B x}{\sqrt{d + f x^{2}} \left(a + b x + c x^{2}\right)}\, dx"," ",0,"Integral((A + B*x)/(sqrt(d + f*x**2)*(a + b*x + c*x**2)), x)","F",0
24,0,0,0,0.000000," ","integrate((B*x+A)/(c*x**2+a)/(f*x**2+d)**(1/2),x)","\int \frac{A + B x}{\left(a + c x^{2}\right) \sqrt{d + f x^{2}}}\, dx"," ",0,"Integral((A + B*x)/((a + c*x**2)*sqrt(d + f*x**2)), x)","F",0
25,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(-2*x**2+3*x+1)**(1/2),x)","- \int \frac{x}{3 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 4 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{3 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 4 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(3*x**2*sqrt(-2*x**2 + 3*x + 1) - 4*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x) - Integral(2/(3*x**2*sqrt(-2*x**2 + 3*x + 1) - 4*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x)","F",0
26,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(-2*x**2+3*x+1)**(3/2),x)","- \int \frac{x}{- 6 x^{4} \sqrt{- 2 x^{2} + 3 x + 1} + 17 x^{3} \sqrt{- 2 x^{2} + 3 x + 1} - 5 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 10 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{- 6 x^{4} \sqrt{- 2 x^{2} + 3 x + 1} + 17 x^{3} \sqrt{- 2 x^{2} + 3 x + 1} - 5 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 10 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(-6*x**4*sqrt(-2*x**2 + 3*x + 1) + 17*x**3*sqrt(-2*x**2 + 3*x + 1) - 5*x**2*sqrt(-2*x**2 + 3*x + 1) - 10*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x) - Integral(2/(-6*x**4*sqrt(-2*x**2 + 3*x + 1) + 17*x**3*sqrt(-2*x**2 + 3*x + 1) - 5*x**2*sqrt(-2*x**2 + 3*x + 1) - 10*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x)","F",0
27,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(-2*x**2+3*x+1)**(5/2),x)","- \int \frac{x}{12 x^{6} \sqrt{- 2 x^{2} + 3 x + 1} - 52 x^{5} \sqrt{- 2 x^{2} + 3 x + 1} + 55 x^{4} \sqrt{- 2 x^{2} + 3 x + 1} + 22 x^{3} \sqrt{- 2 x^{2} + 3 x + 1} - 31 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 16 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{12 x^{6} \sqrt{- 2 x^{2} + 3 x + 1} - 52 x^{5} \sqrt{- 2 x^{2} + 3 x + 1} + 55 x^{4} \sqrt{- 2 x^{2} + 3 x + 1} + 22 x^{3} \sqrt{- 2 x^{2} + 3 x + 1} - 31 x^{2} \sqrt{- 2 x^{2} + 3 x + 1} - 16 x \sqrt{- 2 x^{2} + 3 x + 1} - 2 \sqrt{- 2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(12*x**6*sqrt(-2*x**2 + 3*x + 1) - 52*x**5*sqrt(-2*x**2 + 3*x + 1) + 55*x**4*sqrt(-2*x**2 + 3*x + 1) + 22*x**3*sqrt(-2*x**2 + 3*x + 1) - 31*x**2*sqrt(-2*x**2 + 3*x + 1) - 16*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x) - Integral(2/(12*x**6*sqrt(-2*x**2 + 3*x + 1) - 52*x**5*sqrt(-2*x**2 + 3*x + 1) + 55*x**4*sqrt(-2*x**2 + 3*x + 1) + 22*x**3*sqrt(-2*x**2 + 3*x + 1) - 31*x**2*sqrt(-2*x**2 + 3*x + 1) - 16*x*sqrt(-2*x**2 + 3*x + 1) - 2*sqrt(-2*x**2 + 3*x + 1)), x)","F",0
28,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(2*x**2+3*x+1)**(1/2),x)","- \int \frac{x}{3 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 4 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{3 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 4 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(3*x**2*sqrt(2*x**2 + 3*x + 1) - 4*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x) - Integral(2/(3*x**2*sqrt(2*x**2 + 3*x + 1) - 4*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x)","F",0
29,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(2*x**2+3*x+1)**(3/2),x)","- \int \frac{x}{6 x^{4} \sqrt{2 x^{2} + 3 x + 1} + x^{3} \sqrt{2 x^{2} + 3 x + 1} - 13 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 10 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{6 x^{4} \sqrt{2 x^{2} + 3 x + 1} + x^{3} \sqrt{2 x^{2} + 3 x + 1} - 13 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 10 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(6*x**4*sqrt(2*x**2 + 3*x + 1) + x**3*sqrt(2*x**2 + 3*x + 1) - 13*x**2*sqrt(2*x**2 + 3*x + 1) - 10*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x) - Integral(2/(6*x**4*sqrt(2*x**2 + 3*x + 1) + x**3*sqrt(2*x**2 + 3*x + 1) - 13*x**2*sqrt(2*x**2 + 3*x + 1) - 10*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x)","F",0
30,0,0,0,0.000000," ","integrate((2+x)/(-3*x**2+4*x+2)/(2*x**2+3*x+1)**(5/2),x)","- \int \frac{x}{12 x^{6} \sqrt{2 x^{2} + 3 x + 1} + 20 x^{5} \sqrt{2 x^{2} + 3 x + 1} - 17 x^{4} \sqrt{2 x^{2} + 3 x + 1} - 58 x^{3} \sqrt{2 x^{2} + 3 x + 1} - 47 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 16 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx - \int \frac{2}{12 x^{6} \sqrt{2 x^{2} + 3 x + 1} + 20 x^{5} \sqrt{2 x^{2} + 3 x + 1} - 17 x^{4} \sqrt{2 x^{2} + 3 x + 1} - 58 x^{3} \sqrt{2 x^{2} + 3 x + 1} - 47 x^{2} \sqrt{2 x^{2} + 3 x + 1} - 16 x \sqrt{2 x^{2} + 3 x + 1} - 2 \sqrt{2 x^{2} + 3 x + 1}}\, dx"," ",0,"-Integral(x/(12*x**6*sqrt(2*x**2 + 3*x + 1) + 20*x**5*sqrt(2*x**2 + 3*x + 1) - 17*x**4*sqrt(2*x**2 + 3*x + 1) - 58*x**3*sqrt(2*x**2 + 3*x + 1) - 47*x**2*sqrt(2*x**2 + 3*x + 1) - 16*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x) - Integral(2/(12*x**6*sqrt(2*x**2 + 3*x + 1) + 20*x**5*sqrt(2*x**2 + 3*x + 1) - 17*x**4*sqrt(2*x**2 + 3*x + 1) - 58*x**3*sqrt(2*x**2 + 3*x + 1) - 47*x**2*sqrt(2*x**2 + 3*x + 1) - 16*x*sqrt(2*x**2 + 3*x + 1) - 2*sqrt(2*x**2 + 3*x + 1)), x)","F",0
31,1,36,0,6.998852," ","integrate((1+x)/(x**2+2*x+4)/(x**2+2*x+5)**(1/2),x)","\frac{\log{\left(-1 + \frac{1}{\sqrt{x^{2} + 2 x + 5}} \right)}}{2} - \frac{\log{\left(1 + \frac{1}{\sqrt{x^{2} + 2 x + 5}} \right)}}{2}"," ",0,"log(-1 + 1/sqrt(x**2 + 2*x + 5))/2 - log(1 + 1/sqrt(x**2 + 2*x + 5))/2","B",0
32,0,0,0,0.000000," ","integrate((4+x)/(x**2+2*x+4)/(x**2+2*x+5)**(1/2),x)","\int \frac{x + 4}{\left(x^{2} + 2 x + 4\right) \sqrt{x^{2} + 2 x + 5}}\, dx"," ",0,"Integral((x + 4)/((x**2 + 2*x + 4)*sqrt(x**2 + 2*x + 5)), x)","F",0
33,1,68,0,6.813111," ","integrate((1+2*x)/(x**2+x+3)/(x**2+x+5)**(1/2),x)","2 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2}}{\sqrt{x^{2} + x + 5}} \right)}}{2} & \text{for}\: \frac{1}{x^{2} + x + 5} > \frac{1}{2} \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2}}{\sqrt{x^{2} + x + 5}} \right)}}{2} & \text{for}\: \frac{1}{x^{2} + x + 5} < \frac{1}{2} \end{cases}\right)"," ",0,"2*Piecewise((-sqrt(2)*acoth(sqrt(2)/sqrt(x**2 + x + 5))/2, 1/(x**2 + x + 5) > 1/2), (-sqrt(2)*atanh(sqrt(2)/sqrt(x**2 + x + 5))/2, 1/(x**2 + x + 5) < 1/2))","A",0
34,0,0,0,0.000000," ","integrate(x/(x**2+x+3)/(x**2+x+5)**(1/2),x)","\int \frac{x}{\left(x^{2} + x + 3\right) \sqrt{x^{2} + x + 5}}\, dx"," ",0,"Integral(x/((x**2 + x + 3)*sqrt(x**2 + x + 5)), x)","F",0
35,-1,0,0,0.000000," ","integrate((B*x+A)/(b*f*x**2+b*e*x+a*e)**2/(f*x**2+e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,0,0,0,0.000000," ","integrate((h*x+g)*(c*x**2+b*x+a)**(1/2)/(c*d*x**2+b*d*x+a*d)**2,x)","\frac{\int \frac{g}{a \sqrt{a + b x + c x^{2}} + b x \sqrt{a + b x + c x^{2}} + c x^{2} \sqrt{a + b x + c x^{2}}}\, dx + \int \frac{h x}{a \sqrt{a + b x + c x^{2}} + b x \sqrt{a + b x + c x^{2}} + c x^{2} \sqrt{a + b x + c x^{2}}}\, dx}{d^{2}}"," ",0,"(Integral(g/(a*sqrt(a + b*x + c*x**2) + b*x*sqrt(a + b*x + c*x**2) + c*x**2*sqrt(a + b*x + c*x**2)), x) + Integral(h*x/(a*sqrt(a + b*x + c*x**2) + b*x*sqrt(a + b*x + c*x**2) + c*x**2*sqrt(a + b*x + c*x**2)), x))/d**2","F",0
37,0,0,0,0.000000," ","integrate((3+2*x)/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{2 x + 3}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral((2*x + 3)/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
38,0,0,0,0.000000," ","integrate((3+4*x)/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{4 x + 3}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral((4*x + 3)/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
39,0,0,0,0.000000," ","integrate((h*x+g)*(c*x**2+b*x+a)**(1/2)/(c*d*x**2+b*d*x+a*d)**(3/2),x)","\int \frac{\left(g + h x\right) \sqrt{a + b x + c x^{2}}}{\left(d \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((g + h*x)*sqrt(a + b*x + c*x**2)/(d*(a + b*x + c*x**2))**(3/2), x)","F",0
40,0,0,0,0.000000," ","integrate(x**2*((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2),x)","\int x^{2} \sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(c + d*x**2)*sqrt((a + b*x)**2), x)","F",0
41,0,0,0,0.000000," ","integrate(x*((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2),x)","\int x \sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**2)*sqrt((a + b*x)**2), x)","F",0
42,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2),x)","\int \sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x)**2), x)","F",0
43,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2)/x,x)","\int \frac{\sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}}{x}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x)**2)/x, x)","F",0
44,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2)/x**2,x)","\int \frac{\sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x)**2)/x**2, x)","F",0
45,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+c)**(1/2)/x**3,x)","\int \frac{\sqrt{c + d x^{2}} \sqrt{\left(a + b x\right)^{2}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x)**2)/x**3, x)","F",0
46,0,0,0,0.000000," ","integrate(x**2*((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2),x)","\int x^{2} \sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2), x)","F",0
47,0,0,0,0.000000," ","integrate(x*((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2),x)","\int x \sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2), x)","F",0
48,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2),x)","\int \sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2), x)","F",0
49,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2)/x,x)","\int \frac{\sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}}{x}\, dx"," ",0,"Integral(sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2)/x, x)","F",0
50,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2)/x**2,x)","\int \frac{\sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2)/x**2, x)","F",0
51,0,0,0,0.000000," ","integrate(((b*x+a)**2)**(1/2)*(d*x**2+e*x+c)**(1/2)/x**3,x)","\int \frac{\sqrt{c + d x^{2} + e x} \sqrt{\left(a + b x\right)^{2}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(c + d*x**2 + e*x)*sqrt((a + b*x)**2)/x**3, x)","F",0
52,0,0,0,0.000000," ","integrate(x**2*(c*x**2+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x^{2} \sqrt{a + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(x**2*sqrt(a + c*x**2)/(d + e*x + f*x**2), x)","F",0
53,0,0,0,0.000000," ","integrate(x*(c*x**2+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x \sqrt{a + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(x*sqrt(a + c*x**2)/(d + e*x + f*x**2), x)","F",0
54,0,0,0,0.000000," ","integrate((c*x**2+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(sqrt(a + c*x**2)/(d + e*x + f*x**2), x)","F",0
55,0,0,0,0.000000," ","integrate((c*x**2+a)**(1/2)/x/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + c x^{2}}}{x \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + c*x**2)/(x*(d + e*x + f*x**2)), x)","F",0
56,0,0,0,0.000000," ","integrate((c*x**2+a)**(1/2)/x**2/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + c x^{2}}}{x^{2} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + c*x**2)/(x**2*(d + e*x + f*x**2)), x)","F",0
57,0,0,0,0.000000," ","integrate((c*x**2+a)**(1/2)/x**3/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + c x^{2}}}{x^{3} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + c*x**2)/(x**3*(d + e*x + f*x**2)), x)","F",0
58,-1,0,0,0.000000," ","integrate(x**2*(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,0,0,0,0.000000," ","integrate(x*(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{x \left(a + c x^{2}\right)^{\frac{3}{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(x*(a + c*x**2)**(3/2)/(d + e*x + f*x**2), x)","F",0
60,0,0,0,0.000000," ","integrate((c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{\left(a + c x^{2}\right)^{\frac{3}{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral((a + c*x**2)**(3/2)/(d + e*x + f*x**2), x)","F",0
61,0,0,0,0.000000," ","integrate((c*x**2+a)**(3/2)/x/(f*x**2+e*x+d),x)","\int \frac{\left(a + c x^{2}\right)^{\frac{3}{2}}}{x \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral((a + c*x**2)**(3/2)/(x*(d + e*x + f*x**2)), x)","F",0
62,0,0,0,0.000000," ","integrate((c*x**2+a)**(3/2)/x**2/(f*x**2+e*x+d),x)","\int \frac{\left(a + c x^{2}\right)^{\frac{3}{2}}}{x^{2} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral((a + c*x**2)**(3/2)/(x**2*(d + e*x + f*x**2)), x)","F",0
63,-1,0,0,0.000000," ","integrate((c*x**2+a)**(3/2)/x**3/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,0,0,0,0.000000," ","integrate(x**3/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**3/(sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
65,0,0,0,0.000000," ","integrate(x**2/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**2/(sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
66,0,0,0,0.000000," ","integrate(x/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{x}{\sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x/(sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{1}{\sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
68,0,0,0,0.000000," ","integrate(1/x/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{1}{x \sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x*sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
69,0,0,0,0.000000," ","integrate(1/x**2/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
70,0,0,0,0.000000," ","integrate(1/x**3/(f*x**2+e*x+d)/(c*x**2+a)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + c*x**2)*(d + e*x + f*x**2)), x)","F",0
71,0,0,0,0.000000," ","integrate(x**3/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{x^{3}}{\left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**3/((a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
72,0,0,0,0.000000," ","integrate(x**2/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{x^{2}}{\left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**2/((a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
73,0,0,0,0.000000," ","integrate(x/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{x}{\left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x/((a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
74,0,0,0,0.000000," ","integrate(1/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{1}{\left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/((a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
75,0,0,0,0.000000," ","integrate(1/x/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x \left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x*(a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
76,0,0,0,0.000000," ","integrate(1/x**2/(c*x**2+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x^{2} \left(a + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
77,0,0,0,0.000000," ","integrate(x**3*(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x^{3} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(x**3*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
78,0,0,0,0.000000," ","integrate(x**2*(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x^{2} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(x**2*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
79,0,0,0,0.000000," ","integrate(x*(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(x*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
80,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{\sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
81,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/x/(-f*x**2+d),x)","- \int \frac{\sqrt{a + b x + c x^{2}}}{- d x + f x^{3}}\, dx"," ",0,"-Integral(sqrt(a + b*x + c*x**2)/(-d*x + f*x**3), x)","F",0
82,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/x**2/(-f*x**2+d),x)","- \int \frac{\sqrt{a + b x + c x^{2}}}{- d x^{2} + f x^{4}}\, dx"," ",0,"-Integral(sqrt(a + b*x + c*x**2)/(-d*x**2 + f*x**4), x)","F",0
83,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/x**3/(-f*x**2+d),x)","- \int \frac{\sqrt{a + b x + c x^{2}}}{- d x^{3} + f x^{5}}\, dx"," ",0,"-Integral(sqrt(a + b*x + c*x**2)/(-d*x**3 + f*x**5), x)","F",0
84,-1,0,0,0.000000," ","integrate(x**3*(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,0,0,0,0.000000," ","integrate(x**2*(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{a x^{2} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{b x^{3} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{c x^{4} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(a*x**2*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(b*x**3*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(c*x**4*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
86,0,0,0,0.000000," ","integrate(x*(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{a x \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{b x^{2} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{c x^{3} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(a*x*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(b*x**2*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(c*x**3*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
87,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{a \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{b x \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx - \int \frac{c x^{2} \sqrt{a + b x + c x^{2}}}{- d + f x^{2}}\, dx"," ",0,"-Integral(a*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(b*x*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x) - Integral(c*x**2*sqrt(a + b*x + c*x**2)/(-d + f*x**2), x)","F",0
88,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/x/(-f*x**2+d),x)","- \int \frac{a \sqrt{a + b x + c x^{2}}}{- d x + f x^{3}}\, dx - \int \frac{b x \sqrt{a + b x + c x^{2}}}{- d x + f x^{3}}\, dx - \int \frac{c x^{2} \sqrt{a + b x + c x^{2}}}{- d x + f x^{3}}\, dx"," ",0,"-Integral(a*sqrt(a + b*x + c*x**2)/(-d*x + f*x**3), x) - Integral(b*x*sqrt(a + b*x + c*x**2)/(-d*x + f*x**3), x) - Integral(c*x**2*sqrt(a + b*x + c*x**2)/(-d*x + f*x**3), x)","F",0
89,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/x**2/(-f*x**2+d),x)","- \int \frac{a \sqrt{a + b x + c x^{2}}}{- d x^{2} + f x^{4}}\, dx - \int \frac{b x \sqrt{a + b x + c x^{2}}}{- d x^{2} + f x^{4}}\, dx - \int \frac{c x^{2} \sqrt{a + b x + c x^{2}}}{- d x^{2} + f x^{4}}\, dx"," ",0,"-Integral(a*sqrt(a + b*x + c*x**2)/(-d*x**2 + f*x**4), x) - Integral(b*x*sqrt(a + b*x + c*x**2)/(-d*x**2 + f*x**4), x) - Integral(c*x**2*sqrt(a + b*x + c*x**2)/(-d*x**2 + f*x**4), x)","F",0
90,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/x**3/(-f*x**2+d),x)","- \int \frac{a \sqrt{a + b x + c x^{2}}}{- d x^{3} + f x^{5}}\, dx - \int \frac{b x \sqrt{a + b x + c x^{2}}}{- d x^{3} + f x^{5}}\, dx - \int \frac{c x^{2} \sqrt{a + b x + c x^{2}}}{- d x^{3} + f x^{5}}\, dx"," ",0,"-Integral(a*sqrt(a + b*x + c*x**2)/(-d*x**3 + f*x**5), x) - Integral(b*x*sqrt(a + b*x + c*x**2)/(-d*x**3 + f*x**5), x) - Integral(c*x**2*sqrt(a + b*x + c*x**2)/(-d*x**3 + f*x**5), x)","F",0
91,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/(-x**2+1),x)","- \int \frac{a \sqrt{a + b x + c x^{2}}}{x^{2} - 1}\, dx - \int \frac{b x \sqrt{a + b x + c x^{2}}}{x^{2} - 1}\, dx - \int \frac{c x^{2} \sqrt{a + b x + c x^{2}}}{x^{2} - 1}\, dx"," ",0,"-Integral(a*sqrt(a + b*x + c*x**2)/(x**2 - 1), x) - Integral(b*x*sqrt(a + b*x + c*x**2)/(x**2 - 1), x) - Integral(c*x**2*sqrt(a + b*x + c*x**2)/(x**2 - 1), x)","F",0
92,0,0,0,0.000000," ","integrate((x**2-x-1)**(1/2)/(-x**2+1),x)","- \int \frac{\sqrt{x^{2} - x - 1}}{x^{2} - 1}\, dx"," ",0,"-Integral(sqrt(x**2 - x - 1)/(x**2 - 1), x)","F",0
93,0,0,0,0.000000," ","integrate((x**2+x)**(3/2)/(x**2+1),x)","\int \frac{\left(x \left(x + 1\right)\right)^{\frac{3}{2}}}{x^{2} + 1}\, dx"," ",0,"Integral((x*(x + 1))**(3/2)/(x**2 + 1), x)","F",0
94,0,0,0,0.000000," ","integrate(x**4/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x^{4}}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**4/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
95,0,0,0,0.000000," ","integrate(x**3/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x^{3}}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**3/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
96,0,0,0,0.000000," ","integrate(x**2/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x^{2}}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**2/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
97,0,0,0,0.000000," ","integrate(x/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{x}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{1}{- d \sqrt{a + b x + c x^{2}} + f x^{2} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-d*sqrt(a + b*x + c*x**2) + f*x**2*sqrt(a + b*x + c*x**2)), x)","F",0
99,0,0,0,0.000000," ","integrate(1/x/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{1}{- d x \sqrt{a + b x + c x^{2}} + f x^{3} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-d*x*sqrt(a + b*x + c*x**2) + f*x**3*sqrt(a + b*x + c*x**2)), x)","F",0
100,0,0,0,0.000000," ","integrate(1/x**2/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{1}{- d x^{2} \sqrt{a + b x + c x^{2}} + f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-d*x**2*sqrt(a + b*x + c*x**2) + f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
101,0,0,0,0.000000," ","integrate(1/x**3/(c*x**2+b*x+a)**(1/2)/(-f*x**2+d),x)","- \int \frac{1}{- d x^{3} \sqrt{a + b x + c x^{2}} + f x^{5} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-d*x**3*sqrt(a + b*x + c*x**2) + f*x**5*sqrt(a + b*x + c*x**2)), x)","F",0
102,0,0,0,0.000000," ","integrate(x**4/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{x^{4}}{- a d \sqrt{a + b x + c x^{2}} + a f x^{2} \sqrt{a + b x + c x^{2}} - b d x \sqrt{a + b x + c x^{2}} + b f x^{3} \sqrt{a + b x + c x^{2}} - c d x^{2} \sqrt{a + b x + c x^{2}} + c f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**4/(-a*d*sqrt(a + b*x + c*x**2) + a*f*x**2*sqrt(a + b*x + c*x**2) - b*d*x*sqrt(a + b*x + c*x**2) + b*f*x**3*sqrt(a + b*x + c*x**2) - c*d*x**2*sqrt(a + b*x + c*x**2) + c*f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
103,0,0,0,0.000000," ","integrate(x**3/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{x^{3}}{- a d \sqrt{a + b x + c x^{2}} + a f x^{2} \sqrt{a + b x + c x^{2}} - b d x \sqrt{a + b x + c x^{2}} + b f x^{3} \sqrt{a + b x + c x^{2}} - c d x^{2} \sqrt{a + b x + c x^{2}} + c f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**3/(-a*d*sqrt(a + b*x + c*x**2) + a*f*x**2*sqrt(a + b*x + c*x**2) - b*d*x*sqrt(a + b*x + c*x**2) + b*f*x**3*sqrt(a + b*x + c*x**2) - c*d*x**2*sqrt(a + b*x + c*x**2) + c*f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
104,0,0,0,0.000000," ","integrate(x**2/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{x^{2}}{- a d \sqrt{a + b x + c x^{2}} + a f x^{2} \sqrt{a + b x + c x^{2}} - b d x \sqrt{a + b x + c x^{2}} + b f x^{3} \sqrt{a + b x + c x^{2}} - c d x^{2} \sqrt{a + b x + c x^{2}} + c f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**2/(-a*d*sqrt(a + b*x + c*x**2) + a*f*x**2*sqrt(a + b*x + c*x**2) - b*d*x*sqrt(a + b*x + c*x**2) + b*f*x**3*sqrt(a + b*x + c*x**2) - c*d*x**2*sqrt(a + b*x + c*x**2) + c*f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
105,0,0,0,0.000000," ","integrate(x/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{x}{- a d \sqrt{a + b x + c x^{2}} + a f x^{2} \sqrt{a + b x + c x^{2}} - b d x \sqrt{a + b x + c x^{2}} + b f x^{3} \sqrt{a + b x + c x^{2}} - c d x^{2} \sqrt{a + b x + c x^{2}} + c f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(x/(-a*d*sqrt(a + b*x + c*x**2) + a*f*x**2*sqrt(a + b*x + c*x**2) - b*d*x*sqrt(a + b*x + c*x**2) + b*f*x**3*sqrt(a + b*x + c*x**2) - c*d*x**2*sqrt(a + b*x + c*x**2) + c*f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
106,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{1}{- a d \sqrt{a + b x + c x^{2}} + a f x^{2} \sqrt{a + b x + c x^{2}} - b d x \sqrt{a + b x + c x^{2}} + b f x^{3} \sqrt{a + b x + c x^{2}} - c d x^{2} \sqrt{a + b x + c x^{2}} + c f x^{4} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-a*d*sqrt(a + b*x + c*x**2) + a*f*x**2*sqrt(a + b*x + c*x**2) - b*d*x*sqrt(a + b*x + c*x**2) + b*f*x**3*sqrt(a + b*x + c*x**2) - c*d*x**2*sqrt(a + b*x + c*x**2) + c*f*x**4*sqrt(a + b*x + c*x**2)), x)","F",0
107,0,0,0,0.000000," ","integrate(1/x/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{1}{- a d x \sqrt{a + b x + c x^{2}} + a f x^{3} \sqrt{a + b x + c x^{2}} - b d x^{2} \sqrt{a + b x + c x^{2}} + b f x^{4} \sqrt{a + b x + c x^{2}} - c d x^{3} \sqrt{a + b x + c x^{2}} + c f x^{5} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-a*d*x*sqrt(a + b*x + c*x**2) + a*f*x**3*sqrt(a + b*x + c*x**2) - b*d*x**2*sqrt(a + b*x + c*x**2) + b*f*x**4*sqrt(a + b*x + c*x**2) - c*d*x**3*sqrt(a + b*x + c*x**2) + c*f*x**5*sqrt(a + b*x + c*x**2)), x)","F",0
108,0,0,0,0.000000," ","integrate(1/x**2/(c*x**2+b*x+a)**(3/2)/(-f*x**2+d),x)","- \int \frac{1}{- a d x^{2} \sqrt{a + b x + c x^{2}} + a f x^{4} \sqrt{a + b x + c x^{2}} - b d x^{3} \sqrt{a + b x + c x^{2}} + b f x^{5} \sqrt{a + b x + c x^{2}} - c d x^{4} \sqrt{a + b x + c x^{2}} + c f x^{6} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"-Integral(1/(-a*d*x**2*sqrt(a + b*x + c*x**2) + a*f*x**4*sqrt(a + b*x + c*x**2) - b*d*x**3*sqrt(a + b*x + c*x**2) + b*f*x**5*sqrt(a + b*x + c*x**2) - c*d*x**4*sqrt(a + b*x + c*x**2) + c*f*x**6*sqrt(a + b*x + c*x**2)), x)","F",0
109,0,0,0,0.000000," ","integrate(x**2*(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x^{2} \sqrt{a + b x + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*x + c*x**2)/(d + e*x + f*x**2), x)","F",0
110,0,0,0,0.000000," ","integrate(x*(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x \sqrt{a + b x + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(x*sqrt(a + b*x + c*x**2)/(d + e*x + f*x**2), x)","F",0
111,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + b x + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*x + c*x**2)/(d + e*x + f*x**2), x)","F",0
112,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/x/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + b x + c x^{2}}}{x \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + b*x + c*x**2)/(x*(d + e*x + f*x**2)), x)","F",0
113,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/x**2/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,0,0,0,0.000000," ","integrate(x**3/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x^{3}}{\sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**3/(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
115,0,0,0,0.000000," ","integrate(x**2/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x^{2}}{\sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x**2/(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
116,0,0,0,0.000000," ","integrate(x/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{x}{\sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(x/(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
117,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{1}{\sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
118,0,0,0,0.000000," ","integrate(1/x/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x \sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
119,0,0,0,0.000000," ","integrate(1/x**2/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x^{2} \sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
120,0,0,0,0.000000," ","integrate(1/x**3/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x^{3} \sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x**3*sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
121,-1,0,0,0.000000," ","integrate(x**3/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate(x**2/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate(x/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,0,0,0,0.000000," ","integrate(1/x/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\int \frac{1}{x \left(a + b x + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*x + c*x**2)**(3/2)*(d + e*x + f*x**2)), x)","F",0
126,0,0,0,0.000000," ","integrate(x**4/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(x**4/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
127,0,0,0,0.000000," ","integrate(x**3/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(x**3/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
128,0,0,0,0.000000," ","integrate(x**2/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(x**2/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
129,0,0,0,0.000000," ","integrate(x/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(x/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
130,0,0,0,0.000000," ","integrate(1/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{1}{\sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(1/(sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
131,0,0,0,0.000000," ","integrate(1/x/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(1/(x*sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
132,0,0,0,0.000000," ","integrate(1/x**2/(2*x**2+4*x+3)/(-x**2-4*x-3)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(x + 1\right) \left(x + 3\right)} \left(2 x^{2} + 4 x + 3\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(x + 1)*(x + 3))*(2*x**2 + 4*x + 3)), x)","F",0
133,0,0,0,0.000000," ","integrate((2+3*x)**2*(-12*x**2+31*x+30)**2*(12*x**2+17*x+6)**(1/2),x)","\int \sqrt{\left(3 x + 2\right) \left(4 x + 3\right)} \left(3 x - 10\right)^{2} \left(3 x + 2\right)^{2} \left(4 x + 3\right)^{2}\, dx"," ",0,"Integral(sqrt((3*x + 2)*(4*x + 3))*(3*x - 10)**2*(3*x + 2)**2*(4*x + 3)**2, x)","F",0
134,0,0,0,0.000000," ","integrate((2+3*x)*(-12*x**2+31*x+30)*(12*x**2+17*x+6)**(1/2),x)","- \int \left(- 152 x \sqrt{12 x^{2} + 17 x + 6}\right)\, dx - \int \left(- 69 x^{2} \sqrt{12 x^{2} + 17 x + 6}\right)\, dx - \int 36 x^{3} \sqrt{12 x^{2} + 17 x + 6}\, dx - \int \left(- 60 \sqrt{12 x^{2} + 17 x + 6}\right)\, dx"," ",0,"-Integral(-152*x*sqrt(12*x**2 + 17*x + 6), x) - Integral(-69*x**2*sqrt(12*x**2 + 17*x + 6), x) - Integral(36*x**3*sqrt(12*x**2 + 17*x + 6), x) - Integral(-60*sqrt(12*x**2 + 17*x + 6), x)","F",0
135,0,0,0,0.000000," ","integrate((12*x**2+17*x+6)**(1/2)/(2+3*x)/(-12*x**2+31*x+30),x)","- \int \frac{\sqrt{12 x^{2} + 17 x + 6}}{36 x^{3} - 69 x^{2} - 152 x - 60}\, dx"," ",0,"-Integral(sqrt(12*x**2 + 17*x + 6)/(36*x**3 - 69*x**2 - 152*x - 60), x)","F",0
136,0,0,0,0.000000," ","integrate((12*x**2+17*x+6)**(1/2)/(2+3*x)**2/(-12*x**2+31*x+30)**2,x)","\int \frac{\sqrt{\left(3 x + 2\right) \left(4 x + 3\right)}}{\left(3 x - 10\right)^{2} \left(3 x + 2\right)^{2} \left(4 x + 3\right)^{2}}\, dx"," ",0,"Integral(sqrt((3*x + 2)*(4*x + 3))/((3*x - 10)**2*(3*x + 2)**2*(4*x + 3)**2), x)","F",0
137,0,0,0,0.000000," ","integrate((12*x**2+17*x+6)**(1/2)/(2+3*x)**3/(-12*x**2+31*x+30)**3,x)","- \int \frac{\sqrt{12 x^{2} + 17 x + 6}}{46656 x^{9} - 268272 x^{8} - 76788 x^{7} + 1703619 x^{6} + 1218456 x^{5} - 3669588 x^{4} - 6898688 x^{3} - 4903920 x^{2} - 1641600 x - 216000}\, dx"," ",0,"-Integral(sqrt(12*x**2 + 17*x + 6)/(46656*x**9 - 268272*x**8 - 76788*x**7 + 1703619*x**6 + 1218456*x**5 - 3669588*x**4 - 6898688*x**3 - 4903920*x**2 - 1641600*x - 216000), x)","F",0
138,1,31,0,0.310523," ","integrate((-3+2*x)*(x**2-3*x)**(2/3),x)","\frac{3 x^{2} \left(x^{2} - 3 x\right)^{\frac{2}{3}}}{5} - \frac{9 x \left(x^{2} - 3 x\right)^{\frac{2}{3}}}{5}"," ",0,"3*x**2*(x**2 - 3*x)**(2/3)/5 - 9*x*(x**2 - 3*x)**(2/3)/5","B",0
139,1,10,0,4.252164," ","integrate(((-3+x)*x)**(2/3)*(-3+2*x),x)","\frac{3 \left(x \left(x - 3\right)\right)^{\frac{5}{3}}}{5}"," ",0,"3*(x*(x - 3))**(5/3)/5","A",0
140,0,0,0,0.000000," ","integrate(x*(2*x**2-9*x+9)/(x**2-3*x)**(1/3),x)","\int \frac{x \left(x - 3\right) \left(2 x - 3\right)}{\sqrt[3]{x \left(x - 3\right)}}\, dx"," ",0,"Integral(x*(x - 3)*(2*x - 3)/(x*(x - 3))**(1/3), x)","F",0
141,0,0,0,0.000000," ","integrate(x*(2*x**2-9*x+9)/((-3+x)*x)**(1/3),x)","\int \frac{x \left(x - 3\right) \left(2 x - 3\right)}{\sqrt[3]{x \left(x - 3\right)}}\, dx"," ",0,"Integral(x*(x - 3)*(2*x - 3)/(x*(x - 3))**(1/3), x)","F",0
142,0,0,0,0.000000," ","integrate((h*x+g)/(-c*g**2/h**2+9*c*x**2)**(1/3)/(3*h**2*x**2+g**2),x)","\int \frac{g + h x}{\sqrt[3]{c \left(- \frac{g}{h} + 3 x\right) \left(\frac{g}{h} + 3 x\right)} \left(g^{2} + 3 h^{2} x^{2}\right)}\, dx"," ",0,"Integral((g + h*x)/((c*(-g/h + 3*x)*(g/h + 3*x))**(1/3)*(g**2 + 3*h**2*x**2)), x)","F",0
143,0,0,0,0.000000," ","integrate((h*x+g)/(1/9*(2*b**2*h**2+b*c*g*h-c**2*g**2)/c/h**2+b*x+c*x**2)**(1/3)/(f*(b**2+1/3*(-2*b**2*h**2-b*c*g*h+c**2*g**2)/h**2)/c**2+b*f*x/c+f*x**2),x)","\frac{3 \cdot 3^{\frac{2}{3}} c^{2} h^{2} \left(\int \frac{g}{b^{2} h^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} - b c g h \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + 3 b c h^{2} x \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + c^{2} g^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + 3 c^{2} h^{2} x^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}}}\, dx + \int \frac{h x}{b^{2} h^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} - b c g h \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + 3 b c h^{2} x \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + c^{2} g^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}} + 3 c^{2} h^{2} x^{2} \sqrt[3]{\frac{2 b^{2}}{c} + \frac{b g}{h} + 9 b x - \frac{c g^{2}}{h^{2}} + 9 c x^{2}}}\, dx\right)}{f}"," ",0,"3*3**(2/3)*c**2*h**2*(Integral(g/(b**2*h**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) - b*c*g*h*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + 3*b*c*h**2*x*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + c**2*g**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + 3*c**2*h**2*x**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3)), x) + Integral(h*x/(b**2*h**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) - b*c*g*h*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + 3*b*c*h**2*x*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + c**2*g**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3) + 3*c**2*h**2*x**2*(2*b**2/c + b*g/h + 9*b*x - c*g**2/h**2 + 9*c*x**2)**(1/3)), x))/f","F",0
