1,1,221,0,2.395257," ","integrate((d*x^2+c)/(b*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(\sqrt{b} c + \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} {\left(\sqrt{b} c + \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} {\left(\sqrt{b} c - \sqrt{a} d\right)} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} b^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{b} c - \sqrt{a} d\right)} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} b^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*(sqrt(b)*c + sqrt(a)*d)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/4*sqrt(2)*(sqrt(b)*c + sqrt(a)*d)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/8*sqrt(2)*(sqrt(b)*c - sqrt(a)*d)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(3/4)) - 1/8*sqrt(2)*(sqrt(b)*c - sqrt(a)*d)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(3/4))","A",0
2,1,221,0,2.341789," ","integrate((-d*x^2+c)/(b*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(\sqrt{b} c - \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} {\left(\sqrt{b} c - \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} {\left(\sqrt{b} c + \sqrt{a} d\right)} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} b^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{b} c + \sqrt{a} d\right)} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} b^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*(sqrt(b)*c - sqrt(a)*d)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/4*sqrt(2)*(sqrt(b)*c - sqrt(a)*d)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/8*sqrt(2)*(sqrt(b)*c + sqrt(a)*d)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(3/4)) - 1/8*sqrt(2)*(sqrt(b)*c + sqrt(a)*d)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(3/4))","A",0
3,1,109,0,2.287745," ","integrate((d*x^2+c)/(-b*x^4+a),x, algorithm=""maxima"")","\frac{{\left(\sqrt{b} c - \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{b} x}{\sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{{\left(\sqrt{b} c + \sqrt{a} d\right)} \log\left(\frac{\sqrt{b} x - \sqrt{\sqrt{a} \sqrt{b}}}{\sqrt{b} x + \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}}"," ",0,"1/2*(sqrt(b)*c - sqrt(a)*d)*arctan(sqrt(b)*x/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - 1/4*(sqrt(b)*c + sqrt(a)*d)*log((sqrt(b)*x - sqrt(sqrt(a)*sqrt(b)))/(sqrt(b)*x + sqrt(sqrt(a)*sqrt(b))))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b))","A",0
4,1,109,0,2.339458," ","integrate((-d*x^2+c)/(-b*x^4+a),x, algorithm=""maxima"")","\frac{{\left(\sqrt{b} c + \sqrt{a} d\right)} \arctan\left(\frac{\sqrt{b} x}{\sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{{\left(\sqrt{b} c - \sqrt{a} d\right)} \log\left(\frac{\sqrt{b} x - \sqrt{\sqrt{a} \sqrt{b}}}{\sqrt{b} x + \sqrt{\sqrt{a} \sqrt{b}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}}"," ",0,"1/2*(sqrt(b)*c + sqrt(a)*d)*arctan(sqrt(b)*x/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - 1/4*(sqrt(b)*c - sqrt(a)*d)*log((sqrt(b)*x - sqrt(sqrt(a)*sqrt(b)))/(sqrt(b)*x + sqrt(sqrt(a)*sqrt(b))))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))*sqrt(b))","A",0
5,1,39,0,2.387954," ","integrate((3*x^2+2)/(9*x^4+4),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(3 \, x + \sqrt{3}\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(3 \, x - \sqrt{3}\right)}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(3*x + sqrt(3))) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(3*x - sqrt(3)))","A",0
6,1,39,0,2.417257," ","integrate((-3*x^2+2)/(9*x^4+4),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \log\left(3 \, x^{2} + 2 \, \sqrt{3} x + 2\right) - \frac{1}{12} \, \sqrt{3} \log\left(3 \, x^{2} - 2 \, \sqrt{3} x + 2\right)"," ",0,"1/12*sqrt(3)*log(3*x^2 + 2*sqrt(3)*x + 2) - 1/12*sqrt(3)*log(3*x^2 - 2*sqrt(3)*x + 2)","A",0
7,1,25,0,2.393494," ","integrate((3*x^2+2)/(-9*x^4+4),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{6} \log\left(\frac{3 \, x - \sqrt{6}}{3 \, x + \sqrt{6}}\right)"," ",0,"-1/12*sqrt(6)*log((3*x - sqrt(6))/(3*x + sqrt(6)))","B",0
8,1,12,0,2.310436," ","integrate((-3*x^2+2)/(-9*x^4+4),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"1/6*sqrt(6)*arctan(1/2*sqrt(6)*x)","A",0
9,1,100,0,2.305498," ","integrate((b*x^2+a^(1/2)*b^(1/2))/(b*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{b} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \sqrt{b} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}"," ",0,"1/2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 1/2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b))","A",0
10,1,70,0,2.369131," ","integrate((-b*x^2+a^(1/2)*b^(1/2))/(b*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{4 \, a^{\frac{1}{4}}} - \frac{\sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*b^(1/4)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(1/4) - 1/4*sqrt(2)*b^(1/4)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/a^(1/4)","A",0
11,1,74,0,2.475923," ","integrate((e*x^2+d)/(e^2*x^4+d^2),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, e x + \sqrt{2} \sqrt{d} \sqrt{e}\right)}}{2 \, \sqrt{d e}}\right)}{2 \, \sqrt{d e}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, e x - \sqrt{2} \sqrt{d} \sqrt{e}\right)}}{2 \, \sqrt{d e}}\right)}{2 \, \sqrt{d e}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(2*e*x + sqrt(2)*sqrt(d)*sqrt(e))/sqrt(d*e))/sqrt(d*e) + 1/2*sqrt(2)*arctan(1/2*sqrt(2)*(2*e*x - sqrt(2)*sqrt(d)*sqrt(e))/sqrt(d*e))/sqrt(d*e)","A",0
12,1,62,0,2.411899," ","integrate((-e*x^2+d)/(e^2*x^4+d^2),x, algorithm=""maxima"")","\frac{\sqrt{2} \log\left(e x^{2} + \sqrt{2} \sqrt{d} \sqrt{e} x + d\right)}{4 \, \sqrt{d} \sqrt{e}} - \frac{\sqrt{2} \log\left(e x^{2} - \sqrt{2} \sqrt{d} \sqrt{e} x + d\right)}{4 \, \sqrt{d} \sqrt{e}}"," ",0,"1/4*sqrt(2)*log(e*x^2 + sqrt(2)*sqrt(d)*sqrt(e)*x + d)/(sqrt(d)*sqrt(e)) - 1/4*sqrt(2)*log(e*x^2 - sqrt(2)*sqrt(d)*sqrt(e)*x + d)/(sqrt(d)*sqrt(e))","A",0
13,1,17,0,2.349965," ","integrate((2*x^2+5)/(x^4-1),x, algorithm=""maxima"")","-\frac{3}{2} \, \arctan\left(x\right) - \frac{7}{4} \, \log\left(x + 1\right) + \frac{7}{4} \, \log\left(x - 1\right)"," ",0,"-3/2*arctan(x) - 7/4*log(x + 1) + 7/4*log(x - 1)","A",0
14,0,0,0,0.000000," ","integrate((b*x^2+1)/(-b^2*x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + 1}{\sqrt{-b^{2} x^{4} + 1}}\,{d x}"," ",0,"integrate((b*x^2 + 1)/sqrt(-b^2*x^4 + 1), x)","F",0
15,0,0,0,0.000000," ","integrate((-b*x^2+1)/(-b^2*x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{b x^{2} - 1}{\sqrt{-b^{2} x^{4} + 1}}\,{d x}"," ",0,"-integrate((b*x^2 - 1)/sqrt(-b^2*x^4 + 1), x)","F",0
16,0,0,0,0.000000," ","integrate((b*x^2+1)/(b^2*x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + 1}{\sqrt{b^{2} x^{4} - 1}}\,{d x}"," ",0,"integrate((b*x^2 + 1)/sqrt(b^2*x^4 - 1), x)","F",0
17,0,0,0,0.000000," ","integrate((-b*x^2+1)/(b^2*x^4-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{b x^{2} - 1}{\sqrt{b^{2} x^{4} - 1}}\,{d x}"," ",0,"-integrate((b*x^2 - 1)/sqrt(b^2*x^4 - 1), x)","F",0
18,0,0,0,0.000000," ","integrate((-b*x^2+1)/(b^2*x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{b x^{2} - 1}{\sqrt{b^{2} x^{4} + 1}}\,{d x}"," ",0,"-integrate((b*x^2 - 1)/sqrt(b^2*x^4 + 1), x)","F",0
19,0,0,0,0.000000," ","integrate((b*x^2+1)/(b^2*x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + 1}{\sqrt{b^{2} x^{4} + 1}}\,{d x}"," ",0,"integrate((b*x^2 + 1)/sqrt(b^2*x^4 + 1), x)","F",0
20,0,0,0,0.000000," ","integrate((-b*x^2+1)/(-b^2*x^4-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{b x^{2} - 1}{\sqrt{-b^{2} x^{4} - 1}}\,{d x}"," ",0,"-integrate((b*x^2 - 1)/sqrt(-b^2*x^4 - 1), x)","F",0
21,0,0,0,0.000000," ","integrate((b*x^2+1)/(-b^2*x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{b x^{2} + 1}{\sqrt{-b^{2} x^{4} - 1}}\,{d x}"," ",0,"integrate((b*x^2 + 1)/sqrt(-b^2*x^4 - 1), x)","F",0
22,0,0,0,0.000000," ","integrate((c^2*x^2+1)^(1/2)/(-c^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c^{2} x^{2} + 1}}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(c^2*x^2 + 1)/sqrt(-c^2*x^2 + 1), x)","F",0
23,0,0,0,0.000000," ","integrate((c^2*x^2+1)/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{c^{2} x^{2} + 1}{\sqrt{-c^{4} x^{4} + 1}}\,{d x}"," ",0,"integrate((c^2*x^2 + 1)/sqrt(-c^4*x^4 + 1), x)","F",0
24,0,0,0,0.000000," ","integrate((-c^2*x^2+1)^(1/2)/(c^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c^{2} x^{2} + 1}}{\sqrt{c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(-c^2*x^2 + 1)/sqrt(c^2*x^2 + 1), x)","F",0
25,0,0,0,0.000000," ","integrate((-c^2*x^2+1)/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{c^{2} x^{2} - 1}{\sqrt{-c^{4} x^{4} + 1}}\,{d x}"," ",0,"-integrate((c^2*x^2 - 1)/sqrt(-c^4*x^4 + 1), x)","F",0
26,0,0,0,0.000000," ","integrate((e*x^2+d)/(e^2*x^4+b*x^2+d^2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{e^{2} x^{4} + b x^{2} + d^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(e^2*x^4 + b*x^2 + d^2), x)","F",0
27,0,0,0,0.000000," ","integrate((e*x^2+d)/(e^2*x^4+f*x^2+d^2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{e^{2} x^{4} + f x^{2} + d^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(e^2*x^4 + f*x^2 + d^2), x)","F",0
28,0,0,0,0.000000," ","integrate((e*x^2+d)/(e^2*x^4-b*x^2+d^2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{e^{2} x^{4} - b x^{2} + d^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(e^2*x^4 - b*x^2 + d^2), x)","F",0
29,0,0,0,0.000000," ","integrate((e*x^2+d)/(e^2*x^4-f*x^2+d^2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{e^{2} x^{4} - f x^{2} + d^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(e^2*x^4 - f*x^2 + d^2), x)","F",0
30,0,0,0,0.000000," ","integrate((-e*x^2+d)/(e^2*x^4+b*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{e x^{2} - d}{e^{2} x^{4} + b x^{2} + d^{2}}\,{d x}"," ",0,"-integrate((e*x^2 - d)/(e^2*x^4 + b*x^2 + d^2), x)","F",0
31,0,0,0,0.000000," ","integrate((-e*x^2+d)/(e^2*x^4+f*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{e x^{2} - d}{e^{2} x^{4} + f x^{2} + d^{2}}\,{d x}"," ",0,"-integrate((e*x^2 - d)/(e^2*x^4 + f*x^2 + d^2), x)","F",0
32,0,0,0,0.000000," ","integrate((-e*x^2+d)/(e^2*x^4-b*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{e x^{2} - d}{e^{2} x^{4} - b x^{2} + d^{2}}\,{d x}"," ",0,"-integrate((e*x^2 - d)/(e^2*x^4 - b*x^2 + d^2), x)","F",0
33,0,0,0,0.000000," ","integrate((-e*x^2+d)/(e^2*x^4-f*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{e x^{2} - d}{e^{2} x^{4} - f x^{2} + d^{2}}\,{d x}"," ",0,"-integrate((e*x^2 - d)/(e^2*x^4 - f*x^2 + d^2), x)","F",0
34,0,0,0,0.000000," ","integrate((-e*x^2+d)/(c*d^2/e^2+b*x^2+c*x^4),x, algorithm=""maxima"")","-\int \frac{e x^{2} - d}{c x^{4} + b x^{2} + \frac{c d^{2}}{e^{2}}}\,{d x}"," ",0,"-integrate((e*x^2 - d)/(c*x^4 + b*x^2 + c*d^2/e^2), x)","F",0
35,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*d^2/e^2+b*x^2+c*x^4),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{c x^{4} + b x^{2} + \frac{c d^{2}}{e^{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(c*x^4 + b*x^2 + c*d^2/e^2), x)","F",0
36,0,0,0,0.000000," ","integrate((e*x^2+d)/(b*x^2+c*(d^2/e^2+x^4)),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{b x^{2} + {\left(x^{4} + \frac{d^{2}}{e^{2}}\right)} c}\,{d x}"," ",0,"integrate((e*x^2 + d)/(b*x^2 + (x^4 + d^2/e^2)*c), x)","F",0
37,1,25,0,1.042510," ","integrate((-b*x^2+a)/(a^2+(2*a*b-1)*x^2+b^2*x^4),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(b x^{2} + a + x\right) - \frac{1}{2} \, \log\left(b x^{2} + a - x\right)"," ",0,"1/2*log(b*x^2 + a + x) - 1/2*log(b*x^2 + a - x)","A",0
38,-2,0,0,0.000000," ","integrate((b*x^2+a)/(a^2+(2*a*b-1)*x^2+b^2*x^4),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*b-0.25>0)', see `assume?` for more details)Is a*b-0.25 positive or negative?","F(-2)",0
39,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4+b*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} + b x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 + b*x^2 + 1), x)","F",0
40,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4-b*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} - b x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 - b*x^2 + 1), x)","F",0
41,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4+6*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} + 6 \, x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 + 6*x^2 + 1), x)","F",0
42,1,11,0,2.494931," ","integrate((2*x^2+1)/(4*x^4+5*x^2+1),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(2 \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"1/3*arctan(2*x) + 1/3*arctan(x)","A",0
43,1,11,0,2.298982," ","integrate((2*x^2+1)/(4*x^4+4*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\sqrt{2} x\right)"," ",0,"1/2*sqrt(2)*arctan(sqrt(2)*x)","A",0
44,1,33,0,2.391887," ","integrate((2*x^2+1)/(4*x^4+3*x^2+1),x, algorithm=""maxima"")","\frac{1}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(4 \, x + 1\right)}\right) + \frac{1}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(4 \, x - 1\right)}\right)"," ",0,"1/7*sqrt(7)*arctan(1/7*sqrt(7)*(4*x + 1)) + 1/7*sqrt(7)*arctan(1/7*sqrt(7)*(4*x - 1))","A",0
45,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4+2*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} + 2 \, x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 + 2*x^2 + 1), x)","F",0
46,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4+x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} + x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 + x^2 + 1), x)","F",0
47,1,17,0,2.240465," ","integrate((2*x^2+1)/(4*x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(2 \, x + 1\right) + \frac{1}{2} \, \arctan\left(2 \, x - 1\right)"," ",0,"1/2*arctan(2*x + 1) + 1/2*arctan(2*x - 1)","A",0
48,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} - x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 - x^2 + 1), x)","F",0
49,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4-2*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} - 2 \, x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 - 2*x^2 + 1), x)","F",0
50,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4-3*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} - 3 \, x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 - 3*x^2 + 1), x)","F",0
51,1,12,0,0.928679," ","integrate((2*x^2+1)/(4*x^4-4*x^2+1),x, algorithm=""maxima"")","-\frac{x}{2 \, x^{2} - 1}"," ",0,"-x/(2*x^2 - 1)","A",0
52,1,29,0,1.044913," ","integrate((2*x^2+1)/(4*x^4-5*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(2 \, x + 1\right) - \frac{1}{2} \, \log\left(2 \, x - 1\right) - \frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"1/2*log(2*x + 1) - 1/2*log(2*x - 1) - 1/2*log(x + 1) + 1/2*log(x - 1)","A",0
53,0,0,0,0.000000," ","integrate((2*x^2+1)/(4*x^4-6*x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 1}{4 \, x^{4} - 6 \, x^{2} + 1}\,{d x}"," ",0,"integrate((2*x^2 + 1)/(4*x^4 - 6*x^2 + 1), x)","F",0
54,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4+b*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} + b x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 + b*x^2 + 1), x)","F",0
55,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4+6*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} + 6 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 + 6*x^2 + 1), x)","F",0
56,1,9,0,2.355913," ","integrate((-2*x^2+1)/(4*x^4+5*x^2+1),x, algorithm=""maxima"")","\arctan\left(2 \, x\right) - \arctan\left(x\right)"," ",0,"arctan(2*x) - arctan(x)","A",0
57,1,11,0,1.078927," ","integrate((-2*x^2+1)/(4*x^4+4*x^2+1),x, algorithm=""maxima"")","\frac{x}{2 \, x^{2} + 1}"," ",0,"x/(2*x^2 + 1)","A",0
58,1,25,0,1.001943," ","integrate((-2*x^2+1)/(4*x^4+3*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(2 \, x^{2} + x + 1\right) - \frac{1}{2} \, \log\left(2 \, x^{2} - x + 1\right)"," ",0,"1/2*log(2*x^2 + x + 1) - 1/2*log(2*x^2 - x + 1)","A",0
59,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4+2*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} + 2 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 + 2*x^2 + 1), x)","F",0
60,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4+x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} + x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 + x^2 + 1), x)","F",0
61,1,27,0,1.061212," ","integrate((-2*x^2+1)/(4*x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(2 \, x^{2} + 2 \, x + 1\right) - \frac{1}{4} \, \log\left(2 \, x^{2} - 2 \, x + 1\right)"," ",0,"1/4*log(2*x^2 + 2*x + 1) - 1/4*log(2*x^2 - 2*x + 1)","A",0
62,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4-x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} - x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 - x^2 + 1), x)","F",0
63,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4-2*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} - 2 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 - 2*x^2 + 1), x)","F",0
64,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4-3*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} - 3 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 - 3*x^2 + 1), x)","F",0
65,1,25,0,2.354754," ","integrate((-2*x^2+1)/(4*x^4-4*x^2+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} \log\left(\frac{2 \, x - \sqrt{2}}{2 \, x + \sqrt{2}}\right)"," ",0,"-1/4*sqrt(2)*log((2*x - sqrt(2))/(2*x + sqrt(2)))","B",0
66,1,29,0,0.956798," ","integrate((-2*x^2+1)/(4*x^4-5*x^2+1),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(2 \, x + 1\right) - \frac{1}{6} \, \log\left(2 \, x - 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/6*log(2*x + 1) - 1/6*log(2*x - 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
67,0,0,0,0.000000," ","integrate((-2*x^2+1)/(4*x^4-6*x^2+1),x, algorithm=""maxima"")","-\int \frac{2 \, x^{2} - 1}{4 \, x^{4} - 6 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((2*x^2 - 1)/(4*x^4 - 6*x^2 + 1), x)","F",0
68,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+b*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} + b x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 + b*x^2 + 1), x)","F",0
69,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+5*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} + 5 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 + 5*x^2 + 1), x)","F",0
70,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+4*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} + 4 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 + 4*x^2 + 1), x)","F",0
71,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+3*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} + 3 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 + 3*x^2 + 1), x)","F",0
72,1,2,0,2.419245," ","integrate((x^2+1)/(x^4+2*x^2+1),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
73,1,33,0,2.402786," ","integrate((x^2+1)/(x^4+x^2+1),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1))","A",0
74,1,39,0,2.418455," ","integrate((x^2+1)/(x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)))","A",0
75,0,0,0,0.000000," ","integrate((x^2+1)/(x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} - x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 - x^2 + 1), x)","F",0
76,1,10,0,1.062844," ","integrate((x^2+1)/(x^4-2*x^2+1),x, algorithm=""maxima"")","-\frac{x}{x^{2} - 1}"," ",0,"-x/(x^2 - 1)","A",0
77,1,21,0,0.991514," ","integrate((x^2+1)/(x^4-3*x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(x^{2} + x - 1\right) + \frac{1}{2} \, \log\left(x^{2} - x - 1\right)"," ",0,"-1/2*log(x^2 + x - 1) + 1/2*log(x^2 - x - 1)","A",0
78,0,0,0,0.000000," ","integrate((x^2+1)/(x^4-4*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} - 4 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 - 4*x^2 + 1), x)","F",0
79,0,0,0,0.000000," ","integrate((x^2+1)/(x^4-5*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{x^{4} - 5 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 - 5*x^2 + 1), x)","F",0
80,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4+b*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} + b x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 + b*x^2 + 1), x)","F",0
81,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4+5*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} + 5 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 + 5*x^2 + 1), x)","F",0
82,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4+4*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} + 4 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 + 4*x^2 + 1), x)","F",0
83,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4+3*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} + 3 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 + 3*x^2 + 1), x)","F",0
84,1,9,0,0.997610," ","integrate((-x^2+1)/(x^4+2*x^2+1),x, algorithm=""maxima"")","\frac{x}{x^{2} + 1}"," ",0,"x/(x^2 + 1)","A",0
85,1,21,0,1.037626," ","integrate((-x^2+1)/(x^4+x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{2} + x + 1\right) - \frac{1}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"1/2*log(x^2 + x + 1) - 1/2*log(x^2 - x + 1)","A",0
86,1,34,0,2.262818," ","integrate((-x^2+1)/(x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/4*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/4*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
87,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4-x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} - x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 - x^2 + 1), x)","F",0
88,1,13,0,1.072369," ","integrate((-x^2+1)/(x^4-2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"1/2*log(x + 1) - 1/2*log(x - 1)","B",0
89,1,55,0,2.458137," ","integrate((-x^2+1)/(x^4-3*x^2+1),x, algorithm=""maxima"")","-\frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} + 1}{2 \, x + \sqrt{5} + 1}\right) - \frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} - 1}{2 \, x + \sqrt{5} - 1}\right)"," ",0,"-1/10*sqrt(5)*log((2*x - sqrt(5) + 1)/(2*x + sqrt(5) + 1)) - 1/10*sqrt(5)*log((2*x - sqrt(5) - 1)/(2*x + sqrt(5) - 1))","A",0
90,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4-4*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} - 4 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 - 4*x^2 + 1), x)","F",0
91,0,0,0,0.000000," ","integrate((-x^2+1)/(x^4-5*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{x^{4} - 5 \, x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - 1)/(x^4 - 5*x^2 + 1), x)","F",0
92,1,33,0,2.354133," ","integrate((-3*x^2-1)/(9*x^4+2*x^2+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 1\right)}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 1\right)}\right)"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 1)) - 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(3*x - 1))","A",0
93,1,33,0,2.486768," ","integrate((3*x^2+1)/(-9*x^4-2*x^2-1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 1\right)}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 1\right)}\right)"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 1)) - 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(3*x - 1))","A",0
94,1,23,0,1.104170," ","integrate((2*x^2+3)/(x^4-2*x^2+1),x, algorithm=""maxima"")","-\frac{5 \, x}{2 \, {\left(x^{2} - 1\right)}} + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-5/2*x/(x^2 - 1) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
95,1,38,0,2.356061," ","integrate((3*x^2+2)/(3*x^4-8*x^2+5),x, algorithm=""maxima"")","\frac{7}{20} \, \sqrt{15} \log\left(\frac{3 \, x - \sqrt{15}}{3 \, x + \sqrt{15}}\right) + \frac{5}{4} \, \log\left(x + 1\right) - \frac{5}{4} \, \log\left(x - 1\right)"," ",0,"7/20*sqrt(15)*log((3*x - sqrt(15))/(3*x + sqrt(15))) + 5/4*log(x + 1) - 5/4*log(x - 1)","B",0
96,1,51,0,2.406811," ","integrate((e*x^2+d)/(3*x^4-8*x^2+5),x, algorithm=""maxima"")","\frac{1}{60} \, \sqrt{15} {\left(3 \, d + 5 \, e\right)} \log\left(\frac{3 \, x - \sqrt{15}}{3 \, x + \sqrt{15}}\right) + \frac{1}{4} \, {\left(d + e\right)} \log\left(x + 1\right) - \frac{1}{4} \, {\left(d + e\right)} \log\left(x - 1\right)"," ",0,"1/60*sqrt(15)*(3*d + 5*e)*log((3*x - sqrt(15))/(3*x + sqrt(15))) + 1/4*(d + e)*log(x + 1) - 1/4*(d + e)*log(x - 1)","A",0
97,0,0,0,0.000000," ","integrate((x^2+3)/(x^4+3*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 3}{x^{4} + 3 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + 3)/(x^4 + 3*x^2 + 1), x)","F",0
98,1,69,0,2.427316," ","integrate((b*x^2+a)/(x^4+x^2+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} {\left(a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} {\left(a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, {\left(a - b\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, {\left(a - b\right)} \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*(a + b)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*(a + b)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*(a - b)*log(x^2 + x + 1) - 1/4*(a - b)*log(x^2 - x + 1)","A",0
99,1,105,0,2.349318," ","integrate((b*x^2+a)/(x^4+x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{36} \, \sqrt{3} {\left(4 \, a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{36} \, \sqrt{3} {\left(4 \, a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{8} \, {\left(2 \, a - b\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{8} \, {\left(2 \, a - b\right)} \log\left(x^{2} - x + 1\right) - \frac{{\left(a - 2 \, b\right)} x^{3} - {\left(a + b\right)} x}{6 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"1/36*sqrt(3)*(4*a + b)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/36*sqrt(3)*(4*a + b)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/8*(2*a - b)*log(x^2 + x + 1) - 1/8*(2*a - b)*log(x^2 - x + 1) - 1/6*((a - 2*b)*x^3 - (a + b)*x)/(x^4 + x^2 + 1)","A",0
100,0,0,0,0.000000," ","integrate((b*x^2+a)/(x^4+x^2+2),x, algorithm=""maxima"")","\int \frac{b x^{2} + a}{x^{4} + x^{2} + 2}\,{d x}"," ",0,"integrate((b*x^2 + a)/(x^4 + x^2 + 2), x)","F",0
101,0,0,0,0.000000," ","integrate((b*x^2+a)/(x^4+x^2+2)^2,x, algorithm=""maxima"")","-\frac{{\left(a - 4 \, b\right)} x^{3} - {\left(3 \, a + 2 \, b\right)} x}{28 \, {\left(x^{4} + x^{2} + 2\right)}} + \frac{1}{28} \, \int -\frac{{\left(a - 4 \, b\right)} x^{2} - 11 \, a + 2 \, b}{x^{4} + x^{2} + 2}\,{d x}"," ",0,"-1/28*((a - 4*b)*x^3 - (3*a + 2*b)*x)/(x^4 + x^2 + 2) + 1/28*integrate(-((a - 4*b)*x^2 - 11*a + 2*b)/(x^4 + x^2 + 2), x)","F",0
102,0,0,0,0.000000," ","integrate((-x^2+2^(1/2))/(1+x^4-x^2*2^(1/2)),x, algorithm=""maxima"")","-\int \frac{x^{2} - \sqrt{2}}{x^{4} - \sqrt{2} x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - sqrt(2))/(x^4 - sqrt(2)*x^2 + 1), x)","F",0
103,0,0,0,0.000000," ","integrate((x^2+2^(1/2))/(1+x^4+x^2*2^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2} + \sqrt{2}}{x^{4} + \sqrt{2} x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + sqrt(2))/(x^4 + sqrt(2)*x^2 + 1), x)","F",0
104,0,0,0,0.000000," ","integrate((-x^2+2^(1/2))/(x^4+b*x^2+1),x, algorithm=""maxima"")","-\int \frac{x^{2} - \sqrt{2}}{x^{4} + b x^{2} + 1}\,{d x}"," ",0,"-integrate((x^2 - sqrt(2))/(x^4 + b*x^2 + 1), x)","F",0
105,0,0,0,0.000000," ","integrate((x^2+2^(1/2))/(x^4+b*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + \sqrt{2}}{x^{4} + b x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 + sqrt(2))/(x^4 + b*x^2 + 1), x)","F",0
106,0,0,0,0.000000," ","integrate((-x^2+2*a)/(x^4-a*x^2+a^2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 2 \, a}{x^{4} - a x^{2} + a^{2}}\,{d x}"," ",0,"-integrate((x^2 - 2*a)/(x^4 - a*x^2 + a^2), x)","F",0
107,0,0,0,0.000000," ","integrate((-x^2+2*a^(1/2))/(a+x^4-x^2*a^(1/2)),x, algorithm=""maxima"")","-\int \frac{x^{2} - 2 \, \sqrt{a}}{x^{4} - \sqrt{a} x^{2} + a}\,{d x}"," ",0,"-integrate((x^2 - 2*sqrt(a))/(x^4 - sqrt(a)*x^2 + a), x)","F",0
108,1,88,0,2.287019," ","integrate((2*b^(2/3)+x^2)/(b^(4/3)+b^(2/3)*x^2+x^4),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{2 \, b^{\frac{1}{3}}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{2 \, b^{\frac{1}{3}}} + \frac{\log\left(x^{2} + b^{\frac{1}{3}} x + b^{\frac{2}{3}}\right)}{4 \, b^{\frac{1}{3}}} - \frac{\log\left(x^{2} - b^{\frac{1}{3}} x + b^{\frac{2}{3}}\right)}{4 \, b^{\frac{1}{3}}}"," ",0,"1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + b^(1/3))/b^(1/3))/b^(1/3) + 1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - b^(1/3))/b^(1/3))/b^(1/3) + 1/4*log(x^2 + b^(1/3)*x + b^(2/3))/b^(1/3) - 1/4*log(x^2 - b^(1/3)*x + b^(2/3))/b^(1/3)","A",0
109,0,0,0,0.000000," ","integrate((B*x^2+A)/(x^4-a*x^2+a^2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{x^{4} - a x^{2} + a^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(x^4 - a*x^2 + a^2), x)","F",0
110,0,0,0,0.000000," ","integrate((B*x^2+A)/(a+x^4-x^2*a^(1/2)),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{x^{4} - \sqrt{a} x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)/(x^4 - sqrt(a)*x^2 + a), x)","F",0
111,0,0,0,0.000000," ","integrate((B*x^2+A)/(a+c*x^4-x^2*(a*c)^(1/2)),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{c x^{4} - \sqrt{a c} x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 - sqrt(a*c)*x^2 + a), x)","F",0
112,0,0,0,0.000000," ","integrate((B*x^2+A)/(a+c*x^4-x^2*a^(1/2)*c^(1/2)),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{c x^{4} - \sqrt{a} \sqrt{c} x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 - sqrt(a)*sqrt(c)*x^2 + a), x)","F",0
113,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4+x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} + x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 + x^2 + 3), x)","F",0
114,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4+2*x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} + 2 \, x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 + 2*x^2 + 3), x)","F",0
115,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4+3*x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} + 3 \, x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 + 3*x^2 + 3), x)","F",0
116,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4-x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} - x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 - x^2 + 3), x)","F",0
117,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4-2*x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} - 2 \, x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 - 2*x^2 + 3), x)","F",0
118,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^4-3*x^2+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 3}{\sqrt{-x^{4} - 3 \, x^{2} + 3}}\,{d x}"," ",0,"-integrate((x^2 - 3)/sqrt(-x^4 - 3*x^2 + 3), x)","F",0
119,0,0,0,0.000000," ","integrate((2*c*x^2-(-4*a*c+b^2)^(1/2)+b)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x^{2} + b - \sqrt{b^{2} - 4 \, a c}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((2*c*x^2 + b - sqrt(b^2 - 4*a*c))/sqrt(c*x^4 + b*x^2 + a), x)","F",0
120,1,94,0,1.051204," ","integrate((e*x^2+d)^4*(c*x^4+a),x, algorithm=""maxima"")","\frac{1}{13} \, c e^{4} x^{13} + \frac{4}{11} \, c d e^{3} x^{11} + \frac{1}{9} \, {\left(6 \, c d^{2} e^{2} + a e^{4}\right)} x^{9} + \frac{4}{3} \, a d^{3} e x^{3} + \frac{4}{7} \, {\left(c d^{3} e + a d e^{3}\right)} x^{7} + a d^{4} x + \frac{1}{5} \, {\left(c d^{4} + 6 \, a d^{2} e^{2}\right)} x^{5}"," ",0,"1/13*c*e^4*x^13 + 4/11*c*d*e^3*x^11 + 1/9*(6*c*d^2*e^2 + a*e^4)*x^9 + 4/3*a*d^3*e*x^3 + 4/7*(c*d^3*e + a*d*e^3)*x^7 + a*d^4*x + 1/5*(c*d^4 + 6*a*d^2*e^2)*x^5","A",0
121,1,71,0,1.036605," ","integrate((e*x^2+d)^3*(c*x^4+a),x, algorithm=""maxima"")","\frac{1}{11} \, c e^{3} x^{11} + \frac{1}{3} \, c d e^{2} x^{9} + \frac{1}{7} \, {\left(3 \, c d^{2} e + a e^{3}\right)} x^{7} + a d^{2} e x^{3} + \frac{1}{5} \, {\left(c d^{3} + 3 \, a d e^{2}\right)} x^{5} + a d^{3} x"," ",0,"1/11*c*e^3*x^11 + 1/3*c*d*e^2*x^9 + 1/7*(3*c*d^2*e + a*e^3)*x^7 + a*d^2*e*x^3 + 1/5*(c*d^3 + 3*a*d*e^2)*x^5 + a*d^3*x","A",0
122,1,48,0,0.967148," ","integrate((e*x^2+d)^2*(c*x^4+a),x, algorithm=""maxima"")","\frac{1}{9} \, c e^{2} x^{9} + \frac{2}{7} \, c d e x^{7} + \frac{2}{3} \, a d e x^{3} + \frac{1}{5} \, {\left(c d^{2} + a e^{2}\right)} x^{5} + a d^{2} x"," ",0,"1/9*c*e^2*x^9 + 2/7*c*d*e*x^7 + 2/3*a*d*e*x^3 + 1/5*(c*d^2 + a*e^2)*x^5 + a*d^2*x","A",0
123,1,26,0,1.061230," ","integrate((e*x^2+d)*(c*x^4+a),x, algorithm=""maxima"")","\frac{1}{7} \, c e x^{7} + \frac{1}{5} \, c d x^{5} + \frac{1}{3} \, a e x^{3} + a d x"," ",0,"1/7*c*e*x^7 + 1/5*c*d*x^5 + 1/3*a*e*x^3 + a*d*x","A",0
124,1,47,0,2.545630," ","integrate((c*x^4+a)/(e*x^2+d),x, algorithm=""maxima"")","\frac{{\left(c d^{2} + a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}} + \frac{c e x^{3} - 3 \, c d x}{3 \, e^{2}}"," ",0,"(c*d^2 + a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2) + 1/3*(c*e*x^3 - 3*c*d*x)/e^2","A",0
125,1,74,0,2.237922," ","integrate((c*x^4+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} + a e^{2}\right)} x}{2 \, {\left(d e^{3} x^{2} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{{\left(3 \, c d^{2} - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{2}}"," ",0,"1/2*(c*d^2 + a*e^2)*x/(d*e^3*x^2 + d^2*e^2) + c*x/e^2 - 1/2*(3*c*d^2 - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^2)","A",0
126,1,102,0,2.558901," ","integrate((c*x^4+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, c d^{2} e - 3 \, a e^{3}\right)} x^{3} + {\left(3 \, c d^{3} - 5 \, a d e^{2}\right)} x}{8 \, {\left(d^{2} e^{4} x^{4} + 2 \, d^{3} e^{3} x^{2} + d^{4} e^{2}\right)}} + \frac{3 \, {\left(c d^{2} + a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2} e^{2}}"," ",0,"-1/8*((5*c*d^2*e - 3*a*e^3)*x^3 + (3*c*d^3 - 5*a*d*e^2)*x)/(d^2*e^4*x^4 + 2*d^3*e^3*x^2 + d^4*e^2) + 3/8*(c*d^2 + a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e^2)","A",0
127,1,137,0,2.355100," ","integrate((c*x^4+a)/(e*x^2+d)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(c d^{2} e^{2} + 5 \, a e^{4}\right)} x^{5} - 8 \, {\left(c d^{3} e - 5 \, a d e^{3}\right)} x^{3} - 3 \, {\left(c d^{4} - 11 \, a d^{2} e^{2}\right)} x}{48 \, {\left(d^{3} e^{5} x^{6} + 3 \, d^{4} e^{4} x^{4} + 3 \, d^{5} e^{3} x^{2} + d^{6} e^{2}\right)}} + \frac{{\left(c d^{2} + 5 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3} e^{2}}"," ",0,"1/48*(3*(c*d^2*e^2 + 5*a*e^4)*x^5 - 8*(c*d^3*e - 5*a*d*e^3)*x^3 - 3*(c*d^4 - 11*a*d^2*e^2)*x)/(d^3*e^5*x^6 + 3*d^4*e^4*x^4 + 3*d^5*e^3*x^2 + d^6*e^2) + 1/16*(c*d^2 + 5*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3*e^2)","A",0
128,1,129,0,1.066247," ","integrate((e*x^2+d)^3*(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{15} \, c^{2} e^{3} x^{15} + \frac{3}{13} \, c^{2} d e^{2} x^{13} + \frac{1}{11} \, {\left(3 \, c^{2} d^{2} e + 2 \, a c e^{3}\right)} x^{11} + \frac{1}{9} \, {\left(c^{2} d^{3} + 6 \, a c d e^{2}\right)} x^{9} + a^{2} d^{2} e x^{3} + \frac{1}{7} \, {\left(6 \, a c d^{2} e + a^{2} e^{3}\right)} x^{7} + a^{2} d^{3} x + \frac{1}{5} \, {\left(2 \, a c d^{3} + 3 \, a^{2} d e^{2}\right)} x^{5}"," ",0,"1/15*c^2*e^3*x^15 + 3/13*c^2*d*e^2*x^13 + 1/11*(3*c^2*d^2*e + 2*a*c*e^3)*x^11 + 1/9*(c^2*d^3 + 6*a*c*d*e^2)*x^9 + a^2*d^2*e*x^3 + 1/7*(6*a*c*d^2*e + a^2*e^3)*x^7 + a^2*d^3*x + 1/5*(2*a*c*d^3 + 3*a^2*d*e^2)*x^5","A",0
129,1,89,0,1.026502," ","integrate((e*x^2+d)^2*(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{13} \, c^{2} e^{2} x^{13} + \frac{2}{11} \, c^{2} d e x^{11} + \frac{4}{7} \, a c d e x^{7} + \frac{1}{9} \, {\left(c^{2} d^{2} + 2 \, a c e^{2}\right)} x^{9} + \frac{2}{3} \, a^{2} d e x^{3} + \frac{1}{5} \, {\left(2 \, a c d^{2} + a^{2} e^{2}\right)} x^{5} + a^{2} d^{2} x"," ",0,"1/13*c^2*e^2*x^13 + 2/11*c^2*d*e*x^11 + 4/7*a*c*d*e*x^7 + 1/9*(c^2*d^2 + 2*a*c*e^2)*x^9 + 2/3*a^2*d*e*x^3 + 1/5*(2*a*c*d^2 + a^2*e^2)*x^5 + a^2*d^2*x","A",0
130,1,50,0,1.037254," ","integrate((e*x^2+d)*(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, c^{2} e x^{11} + \frac{1}{9} \, c^{2} d x^{9} + \frac{2}{7} \, a c e x^{7} + \frac{2}{5} \, a c d x^{5} + \frac{1}{3} \, a^{2} e x^{3} + a^{2} d x"," ",0,"1/11*c^2*e*x^11 + 1/9*c^2*d*x^9 + 2/7*a*c*e*x^7 + 2/5*a*c*d*x^5 + 1/3*a^2*e*x^3 + a^2*d*x","A",0
131,1,21,0,1.004135," ","integrate((c*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, c^{2} x^{9} + \frac{2}{5} \, a c x^{5} + a^{2} x"," ",0,"1/9*c^2*x^9 + 2/5*a*c*x^5 + a^2*x","A",0
132,1,113,0,2.452910," ","integrate((c*x^4+a)^2/(e*x^2+d),x, algorithm=""maxima"")","\frac{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{4}} + \frac{15 \, c^{2} e^{3} x^{7} - 21 \, c^{2} d e^{2} x^{5} + 35 \, {\left(c^{2} d^{2} e + 2 \, a c e^{3}\right)} x^{3} - 105 \, {\left(c^{2} d^{3} + 2 \, a c d e^{2}\right)} x}{105 \, e^{4}}"," ",0,"(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^4) + 1/105*(15*c^2*e^3*x^7 - 21*c^2*d*e^2*x^5 + 35*(c^2*d^2*e + 2*a*c*e^3)*x^3 - 105*(c^2*d^3 + 2*a*c*d*e^2)*x)/e^4","A",0
133,1,142,0,2.283027," ","integrate((c*x^4+a)^2/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} x}{2 \, {\left(d e^{5} x^{2} + d^{2} e^{4}\right)}} + \frac{3 \, c^{2} e^{2} x^{5} - 10 \, c^{2} d e x^{3} + 15 \, {\left(3 \, c^{2} d^{2} + 2 \, a c e^{2}\right)} x}{15 \, e^{4}} - \frac{{\left(7 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} - a^{2} e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{4}}"," ",0,"1/2*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*x/(d*e^5*x^2 + d^2*e^4) + 1/15*(3*c^2*e^2*x^5 - 10*c^2*d*e*x^3 + 15*(3*c^2*d^2 + 2*a*c*e^2)*x)/e^4 - 1/2*(7*c^2*d^4 + 6*a*c*d^2*e^2 - a^2*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^4)","A",0
134,1,167,0,2.313469," ","integrate((c*x^4+a)^2/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, c^{2} d^{4} e + 10 \, a c d^{2} e^{3} - 3 \, a^{2} e^{5}\right)} x^{3} + {\left(11 \, c^{2} d^{5} + 6 \, a c d^{3} e^{2} - 5 \, a^{2} d e^{4}\right)} x}{8 \, {\left(d^{2} e^{6} x^{4} + 2 \, d^{3} e^{5} x^{2} + d^{4} e^{4}\right)}} + \frac{c^{2} e x^{3} - 9 \, c^{2} d x}{3 \, e^{4}} + \frac{{\left(35 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} + 3 \, a^{2} e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2} e^{4}}"," ",0,"-1/8*((13*c^2*d^4*e + 10*a*c*d^2*e^3 - 3*a^2*e^5)*x^3 + (11*c^2*d^5 + 6*a*c*d^3*e^2 - 5*a^2*d*e^4)*x)/(d^2*e^6*x^4 + 2*d^3*e^5*x^2 + d^4*e^4) + 1/3*(c^2*e*x^3 - 9*c^2*d*x)/e^4 + 1/8*(35*c^2*d^4 + 6*a*c*d^2*e^2 + 3*a^2*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e^4)","A",0
135,1,205,0,2.391869," ","integrate((c*x^4+a)^2/(e*x^2+d)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(29 \, c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + 5 \, a^{2} e^{6}\right)} x^{5} + 8 \, {\left(17 \, c^{2} d^{5} e - 2 \, a c d^{3} e^{3} + 5 \, a^{2} d e^{5}\right)} x^{3} + 3 \, {\left(19 \, c^{2} d^{6} - 2 \, a c d^{4} e^{2} + 11 \, a^{2} d^{2} e^{4}\right)} x}{48 \, {\left(d^{3} e^{7} x^{6} + 3 \, d^{4} e^{6} x^{4} + 3 \, d^{5} e^{5} x^{2} + d^{6} e^{4}\right)}} + \frac{c^{2} x}{e^{4}} - \frac{{\left(35 \, c^{2} d^{4} - 2 \, a c d^{2} e^{2} - 5 \, a^{2} e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3} e^{4}}"," ",0,"1/48*(3*(29*c^2*d^4*e^2 + 2*a*c*d^2*e^4 + 5*a^2*e^6)*x^5 + 8*(17*c^2*d^5*e - 2*a*c*d^3*e^3 + 5*a^2*d*e^5)*x^3 + 3*(19*c^2*d^6 - 2*a*c*d^4*e^2 + 11*a^2*d^2*e^4)*x)/(d^3*e^7*x^6 + 3*d^4*e^6*x^4 + 3*d^5*e^5*x^2 + d^6*e^4) + c^2*x/e^4 - 1/16*(35*c^2*d^4 - 2*a*c*d^2*e^2 - 5*a^2*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3*e^4)","A",0
136,1,244,0,2.412841," ","integrate((c*x^4+a)^2/(e*x^2+d)^5,x, algorithm=""maxima"")","-\frac{3 \, {\left(93 \, c^{2} d^{4} e^{3} - 6 \, a c d^{2} e^{5} - 35 \, a^{2} e^{7}\right)} x^{7} + {\left(511 \, c^{2} d^{5} e^{2} - 66 \, a c d^{3} e^{4} - 385 \, a^{2} d e^{6}\right)} x^{5} + {\left(385 \, c^{2} d^{6} e + 66 \, a c d^{4} e^{3} - 511 \, a^{2} d^{2} e^{5}\right)} x^{3} + 3 \, {\left(35 \, c^{2} d^{7} + 6 \, a c d^{5} e^{2} - 93 \, a^{2} d^{3} e^{4}\right)} x}{384 \, {\left(d^{4} e^{8} x^{8} + 4 \, d^{5} e^{7} x^{6} + 6 \, d^{6} e^{6} x^{4} + 4 \, d^{7} e^{5} x^{2} + d^{8} e^{4}\right)}} + \frac{{\left(35 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} + 35 \, a^{2} e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{128 \, \sqrt{d e} d^{4} e^{4}}"," ",0,"-1/384*(3*(93*c^2*d^4*e^3 - 6*a*c*d^2*e^5 - 35*a^2*e^7)*x^7 + (511*c^2*d^5*e^2 - 66*a*c*d^3*e^4 - 385*a^2*d*e^6)*x^5 + (385*c^2*d^6*e + 66*a*c*d^4*e^3 - 511*a^2*d^2*e^5)*x^3 + 3*(35*c^2*d^7 + 6*a*c*d^5*e^2 - 93*a^2*d^3*e^4)*x)/(d^4*e^8*x^8 + 4*d^5*e^7*x^6 + 6*d^6*e^6*x^4 + 4*d^7*e^5*x^2 + d^8*e^4) + 1/128*(35*c^2*d^4 + 6*a*c*d^2*e^2 + 35*a^2*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^4*e^4)","A",0
137,1,432,0,2.453185," ","integrate((e*x^2+d)^4/(c*x^4+a),x, algorithm=""maxima"")","\frac{3 \, c e^{4} x^{5} + 20 \, c d e^{3} x^{3} + 15 \, {\left(6 \, c d^{2} e^{2} - a e^{4}\right)} x}{15 \, c^{2}} + \frac{\frac{2 \, \sqrt{2} {\left(c^{\frac{5}{2}} d^{4} + 4 \, \sqrt{a} c^{2} d^{3} e - 6 \, a c^{\frac{3}{2}} d^{2} e^{2} - 4 \, a^{\frac{3}{2}} c d e^{3} + a^{2} \sqrt{c} e^{4}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(c^{\frac{5}{2}} d^{4} + 4 \, \sqrt{a} c^{2} d^{3} e - 6 \, a c^{\frac{3}{2}} d^{2} e^{2} - 4 \, a^{\frac{3}{2}} c d e^{3} + a^{2} \sqrt{c} e^{4}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(c^{\frac{5}{2}} d^{4} - 4 \, \sqrt{a} c^{2} d^{3} e - 6 \, a c^{\frac{3}{2}} d^{2} e^{2} + 4 \, a^{\frac{3}{2}} c d e^{3} + a^{2} \sqrt{c} e^{4}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(c^{\frac{5}{2}} d^{4} - 4 \, \sqrt{a} c^{2} d^{3} e - 6 \, a c^{\frac{3}{2}} d^{2} e^{2} + 4 \, a^{\frac{3}{2}} c d e^{3} + a^{2} \sqrt{c} e^{4}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{8 \, c^{2}}"," ",0,"1/15*(3*c*e^4*x^5 + 20*c*d*e^3*x^3 + 15*(6*c*d^2*e^2 - a*e^4)*x)/c^2 + 1/8*(2*sqrt(2)*(c^(5/2)*d^4 + 4*sqrt(a)*c^2*d^3*e - 6*a*c^(3/2)*d^2*e^2 - 4*a^(3/2)*c*d*e^3 + a^2*sqrt(c)*e^4)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(c^(5/2)*d^4 + 4*sqrt(a)*c^2*d^3*e - 6*a*c^(3/2)*d^2*e^2 - 4*a^(3/2)*c*d*e^3 + a^2*sqrt(c)*e^4)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(c^(5/2)*d^4 - 4*sqrt(a)*c^2*d^3*e - 6*a*c^(3/2)*d^2*e^2 + 4*a^(3/2)*c*d*e^3 + a^2*sqrt(c)*e^4)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(c^(5/2)*d^4 - 4*sqrt(a)*c^2*d^3*e - 6*a*c^(3/2)*d^2*e^2 + 4*a^(3/2)*c*d*e^3 + a^2*sqrt(c)*e^4)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c^2","A",0
138,1,342,0,2.484462," ","integrate((e*x^2+d)^3/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{3} x^{3} + 9 \, d e^{2} x}{3 \, c} + \frac{\frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{3} + 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} - a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{3} + 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} - a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{3} - 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} + a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{3} - 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} + a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{8 \, c}"," ",0,"1/3*(e^3*x^3 + 9*d*e^2*x)/c + 1/8*(2*sqrt(2)*(c^(3/2)*d^3 + 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 - a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(c^(3/2)*d^3 + 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 - a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(c^(3/2)*d^3 - 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 + a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(c^(3/2)*d^3 - 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 + a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c","A",0
139,1,288,0,2.361386," ","integrate((e*x^2+d)^2/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{2} x}{c} + \frac{\frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{8 \, c}"," ",0,"e^2*x/c + 1/8*(2*sqrt(2)*(c^(3/2)*d^2 + 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(c^(3/2)*d^2 + 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(c^(3/2)*d^2 - 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(c^(3/2)*d^2 - 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c","A",0
140,1,221,0,2.533237," ","integrate((e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 1/4*sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 1/8*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - 1/8*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4))","A",0
141,1,169,0,2.439060," ","integrate(1/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/8*sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 1/8*sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4))","A",0
142,1,268,0,2.384793," ","integrate(1/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{d e}} + \frac{c {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"e^2*arctan(e*x/sqrt(d*e))/((c*d^2 + a*e^2)*sqrt(d*e)) + 1/8*c*(2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c*d^2 + a*e^2)","A",0
143,1,403,0,2.445126," ","integrate(1/(e*x^2+d)^2/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{2} x}{2 \, {\left(c d^{4} + a d^{2} e^{2} + {\left(c d^{3} e + a d e^{3}\right)} x^{2}\right)}} + \frac{c {\left(\frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e - a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{{\left(5 \, c d^{2} e^{2} + a e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, {\left(c^{2} d^{5} + 2 \, a c d^{3} e^{2} + a^{2} d e^{4}\right)} \sqrt{d e}}"," ",0,"1/2*e^2*x/(c*d^4 + a*d^2*e^2 + (c*d^3*e + a*d*e^3)*x^2) + 1/8*c*(2*sqrt(2)*(c^(3/2)*d^2 - 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(c^(3/2)*d^2 - 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(c^(3/2)*d^2 + 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(c^(3/2)*d^2 + 2*sqrt(a)*c*d*e - a*sqrt(c)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/2*(5*c*d^2*e^2 + a*e^4)*arctan(e*x/sqrt(d*e))/((c^2*d^5 + 2*a*c*d^3*e^2 + a^2*d*e^4)*sqrt(d*e))","A",0
144,1,292,0,2.364480," ","integrate((e*x^2+d)^3/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{{\left(3 \, c d^{2} e - a e^{3}\right)} x^{3} + {\left(c d^{3} - 3 \, a d e^{2}\right)} x}{4 \, {\left(a c^{2} x^{4} + a^{2} c\right)}} + \frac{3 \, {\left(c d^{2} + a e^{2}\right)} {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, a c}"," ",0,"1/4*((3*c*d^2*e - a*e^3)*x^3 + (c*d^3 - 3*a*d*e^2)*x)/(a*c^2*x^4 + a^2*c) + 3/32*(c*d^2 + a*e^2)*(2*sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c)","A",0
145,1,324,0,2.588731," ","integrate((e*x^2+d)^2/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{2 \, c d e x^{3} + {\left(c d^{2} - a e^{2}\right)} x}{4 \, {\left(a c^{2} x^{4} + a^{2} c\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e + a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{2} + 2 \, \sqrt{a} c d e + a \sqrt{c} e^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e + a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{2} - 2 \, \sqrt{a} c d e + a \sqrt{c} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{32 \, a c}"," ",0,"1/4*(2*c*d*e*x^3 + (c*d^2 - a*e^2)*x)/(a*c^2*x^4 + a^2*c) + 1/32*(2*sqrt(2)*(3*c^(3/2)*d^2 + 2*sqrt(a)*c*d*e + a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*c^(3/2)*d^2 + 2*sqrt(a)*c*d*e + a*sqrt(c)*e^2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*c^(3/2)*d^2 - 2*sqrt(a)*c*d*e + a*sqrt(c)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*c^(3/2)*d^2 - 2*sqrt(a)*c*d*e + a*sqrt(c)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c)","A",0
146,1,253,0,2.266636," ","integrate((e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e x^{3} + d x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, \sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, \sqrt{c} d + \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, \sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, \sqrt{c} d - \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{32 \, a}"," ",0,"1/4*(e*x^3 + d*x)/(a*c*x^4 + a^2) + 1/32*(2*sqrt(2)*(3*sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*sqrt(c)*d + sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*sqrt(c)*d - sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a","A",0
147,1,189,0,2.429880," ","integrate(1/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{32 \, a}"," ",0,"1/4*x/(a*c*x^4 + a^2) + 3/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/a","A",0
148,1,506,0,2.449345," ","integrate(1/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} + \frac{c {\left(\frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} - \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} - 5 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} - \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} - 5 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} + \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} + 5 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} + \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} + 5 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)}} - \frac{{\left(c^{2} d^{2} e + a c e^{3}\right)} x^{3} - {\left(c^{2} d^{3} + a c d e^{2}\right)} x}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4} + {\left(a c^{3} d^{4} + 2 \, a^{2} c^{2} d^{2} e^{2} + a^{3} c e^{4}\right)} x^{4}\right)}}"," ",0,"e^4*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) + 1/32*c*(2*sqrt(2)*(3*c^(3/2)*d^3 - sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 - 5*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*c^(3/2)*d^3 - sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 - 5*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*c^(3/2)*d^3 + sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 + 5*a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*c^(3/2)*d^3 + sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 + 5*a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4) - 1/4*((c^2*d^2*e + a*c*e^3)*x^3 - (c^2*d^3 + a*c*d*e^2)*x)/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4 + (a*c^3*d^4 + 2*a^2*c^2*d^2*e^2 + a^3*c*e^4)*x^4)","A",0
149,1,732,0,2.607158," ","integrate(1/(e*x^2+d)^2/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{c {\left(\frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{5}{2}} d^{4} - 2 \, \sqrt{a} c^{2} d^{3} e + 12 \, a c^{\frac{3}{2}} d^{2} e^{2} - 18 \, a^{\frac{3}{2}} c d e^{3} - 7 \, a^{2} \sqrt{c} e^{4}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{5}{2}} d^{4} - 2 \, \sqrt{a} c^{2} d^{3} e + 12 \, a c^{\frac{3}{2}} d^{2} e^{2} - 18 \, a^{\frac{3}{2}} c d e^{3} - 7 \, a^{2} \sqrt{c} e^{4}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, c^{\frac{5}{2}} d^{4} + 2 \, \sqrt{a} c^{2} d^{3} e + 12 \, a c^{\frac{3}{2}} d^{2} e^{2} + 18 \, a^{\frac{3}{2}} c d e^{3} - 7 \, a^{2} \sqrt{c} e^{4}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, c^{\frac{5}{2}} d^{4} + 2 \, \sqrt{a} c^{2} d^{3} e + 12 \, a c^{\frac{3}{2}} d^{2} e^{2} + 18 \, a^{\frac{3}{2}} c d e^{3} - 7 \, a^{2} \sqrt{c} e^{4}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(a c^{3} d^{6} + 3 \, a^{2} c^{2} d^{4} e^{2} + 3 \, a^{3} c d^{2} e^{4} + a^{4} e^{6}\right)}} + \frac{{\left(9 \, c d^{2} e^{4} + a e^{6}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, {\left(c^{3} d^{7} + 3 \, a c^{2} d^{5} e^{2} + 3 \, a^{2} c d^{3} e^{4} + a^{3} d e^{6}\right)} \sqrt{d e}} - \frac{2 \, {\left(c^{2} d^{2} e^{2} - a c e^{4}\right)} x^{5} + {\left(c^{2} d^{3} e + a c d e^{3}\right)} x^{3} - {\left(c^{2} d^{4} - a c d^{2} e^{2} + 2 \, a^{2} e^{4}\right)} x}{4 \, {\left(a^{2} c^{2} d^{6} + 2 \, a^{3} c d^{4} e^{2} + a^{4} d^{2} e^{4} + {\left(a c^{3} d^{5} e + 2 \, a^{2} c^{2} d^{3} e^{3} + a^{3} c d e^{5}\right)} x^{6} + {\left(a c^{3} d^{6} + 2 \, a^{2} c^{2} d^{4} e^{2} + a^{3} c d^{2} e^{4}\right)} x^{4} + {\left(a^{2} c^{2} d^{5} e + 2 \, a^{3} c d^{3} e^{3} + a^{4} d e^{5}\right)} x^{2}\right)}}"," ",0,"1/32*c*(2*sqrt(2)*(3*c^(5/2)*d^4 - 2*sqrt(a)*c^2*d^3*e + 12*a*c^(3/2)*d^2*e^2 - 18*a^(3/2)*c*d*e^3 - 7*a^2*sqrt(c)*e^4)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*c^(5/2)*d^4 - 2*sqrt(a)*c^2*d^3*e + 12*a*c^(3/2)*d^2*e^2 - 18*a^(3/2)*c*d*e^3 - 7*a^2*sqrt(c)*e^4)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*c^(5/2)*d^4 + 2*sqrt(a)*c^2*d^3*e + 12*a*c^(3/2)*d^2*e^2 + 18*a^(3/2)*c*d*e^3 - 7*a^2*sqrt(c)*e^4)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*c^(5/2)*d^4 + 2*sqrt(a)*c^2*d^3*e + 12*a*c^(3/2)*d^2*e^2 + 18*a^(3/2)*c*d*e^3 - 7*a^2*sqrt(c)*e^4)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c^3*d^6 + 3*a^2*c^2*d^4*e^2 + 3*a^3*c*d^2*e^4 + a^4*e^6) + 1/2*(9*c*d^2*e^4 + a*e^6)*arctan(e*x/sqrt(d*e))/((c^3*d^7 + 3*a*c^2*d^5*e^2 + 3*a^2*c*d^3*e^4 + a^3*d*e^6)*sqrt(d*e)) - 1/4*(2*(c^2*d^2*e^2 - a*c*e^4)*x^5 + (c^2*d^3*e + a*c*d*e^3)*x^3 - (c^2*d^4 - a*c*d^2*e^2 + 2*a^2*e^4)*x)/(a^2*c^2*d^6 + 2*a^3*c*d^4*e^2 + a^4*d^2*e^4 + (a*c^3*d^5*e + 2*a^2*c^2*d^3*e^3 + a^3*c*d*e^5)*x^6 + (a*c^3*d^6 + 2*a^2*c^2*d^4*e^2 + a^3*c*d^2*e^4)*x^4 + (a^2*c^2*d^5*e + 2*a^3*c*d^3*e^3 + a^4*d*e^5)*x^2)","A",0
150,0,0,0,0.000000," ","integrate((e*x^2+d)^4/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{4}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^4/sqrt(c*x^4 + a), x)","F",0
151,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{3}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3/sqrt(c*x^4 + a), x)","F",0
152,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{2}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2/sqrt(c*x^4 + a), x)","F",0
153,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(c*x^4 + a), x)","F",0
154,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x^2 + d)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x^2 + d)^2), x)","F",0
156,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^3/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x^2 + d)^3), x)","F",0
157,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{3}}{\sqrt{-c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3/sqrt(-c*x^4 + a), x)","F",0
158,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{2}}{\sqrt{-c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2/sqrt(-c*x^4 + a), x)","F",0
159,0,0,0,0.000000," ","integrate((e*x^2+d)/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{-c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(-c*x^4 + a), x)","F",0
160,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + a)*(e*x^2 + d)), x)","F",0
161,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + a)*(e*x^2 + d)^2), x)","F",0
162,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^3/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + a} {\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + a)*(e*x^2 + d)^3), x)","F",0
163,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^4/(-c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + a} {\left(e x^{2} + d\right)}^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + a)*(e*x^2 + d)^4), x)","F",0
164,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} - a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(c*x^4 - a), x)","F",0
165,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} - a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 - a)*(e*x^2 + d)), x)","F",0
166,0,0,0,0.000000," ","integrate((a^(1/2)+x^2*c^(1/2))/(c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c} x^{2} + \sqrt{a}}{\sqrt{c x^{4} - a}}\,{d x}"," ",0,"integrate((sqrt(c)*x^2 + sqrt(a))/sqrt(c*x^4 - a), x)","F",0
167,0,0,0,0.000000," ","integrate((1+x^2*(c/a)^(1/2))/(c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} \sqrt{\frac{c}{a}} + 1}{\sqrt{c x^{4} - a}}\,{d x}"," ",0,"integrate((x^2*sqrt(c/a) + 1)/sqrt(c*x^4 - a), x)","F",0
168,0,0,0,0.000000," ","integrate((e*x^2+d)/(-c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{-c x^{4} - a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(-c*x^4 - a), x)","F",0
169,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(-c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} - a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 - a)*(e*x^2 + d)), x)","F",0
170,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(-5*x^4+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-5 \, x^{4} + 4} {\left(b x^{2} + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-5*x^4 + 4)*(b*x^2 + a)), x)","F",0
171,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(5*x^4+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{5 \, x^{4} + 4} {\left(b x^{2} + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x^4 + 4)*(b*x^2 + a)), x)","F",0
172,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(-d*x^4+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d x^{4} + 4} {\left(b x^{2} + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-d*x^4 + 4)*(b*x^2 + a)), x)","F",0
173,0,0,0,0.000000," ","integrate(1/(b*x^2+a)/(d*x^4+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{4} + 4} {\left(b x^{2} + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^4 + 4)*(b*x^2 + a)), x)","F",0
174,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/sqrt(-x^4 + 1), x)","F",0
175,0,0,0,0.000000," ","integrate((e*x^2+c)^q*(b*x^4+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{p} {\left(e x^{2} + c\right)}^{q}\,{d x}"," ",0,"integrate((b*x^4 + a)^p*(e*x^2 + c)^q, x)","F",0
176,0,0,0,0.000000," ","integrate((e*x^2+c)^3*(b*x^4+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)}^{3} {\left(b x^{4} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)^3*(b*x^4 + a)^p, x)","F",0
177,0,0,0,0.000000," ","integrate((e*x^2+c)^2*(b*x^4+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)}^{2} {\left(b x^{4} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)^2*(b*x^4 + a)^p, x)","F",0
178,0,0,0,0.000000," ","integrate((e*x^2+c)*(b*x^4+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)} {\left(b x^{4} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)*(b*x^4 + a)^p, x)","F",0
179,0,0,0,0.000000," ","integrate((b*x^4+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*x^4 + a)^p, x)","F",0
180,0,0,0,0.000000," ","integrate((b*x^4+a)^p/(e*x^2+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{p}}{e x^{2} + c}\,{d x}"," ",0,"integrate((b*x^4 + a)^p/(e*x^2 + c), x)","F",0
181,0,0,0,0.000000," ","integrate((b*x^4+a)^p/(e*x^2+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{p}}{{\left(e x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^4 + a)^p/(e*x^2 + c)^2, x)","F",0
182,0,0,0,0.000000," ","integrate((-x^2+1)^3*(b*x^4+1)^p,x, algorithm=""maxima"")","-\int {\left(x^{2} - 1\right)}^{3} {\left(b x^{4} + 1\right)}^{p}\,{d x}"," ",0,"-integrate((x^2 - 1)^3*(b*x^4 + 1)^p, x)","F",0
183,0,0,0,0.000000," ","integrate((-x^2+1)^2*(b*x^4+1)^p,x, algorithm=""maxima"")","\int {\left(x^{2} - 1\right)}^{2} {\left(b x^{4} + 1\right)}^{p}\,{d x}"," ",0,"integrate((x^2 - 1)^2*(b*x^4 + 1)^p, x)","F",0
184,0,0,0,0.000000," ","integrate((-x^2+1)*(b*x^4+1)^p,x, algorithm=""maxima"")","-\int {\left(x^{2} - 1\right)} {\left(b x^{4} + 1\right)}^{p}\,{d x}"," ",0,"-integrate((x^2 - 1)*(b*x^4 + 1)^p, x)","F",0
185,0,0,0,0.000000," ","integrate((b*x^4+1)^p,x, algorithm=""maxima"")","\int {\left(b x^{4} + 1\right)}^{p}\,{d x}"," ",0,"integrate((b*x^4 + 1)^p, x)","F",0
186,0,0,0,0.000000," ","integrate((b*x^4+1)^p/(-x^2+1),x, algorithm=""maxima"")","-\int \frac{{\left(b x^{4} + 1\right)}^{p}}{x^{2} - 1}\,{d x}"," ",0,"-integrate((b*x^4 + 1)^p/(x^2 - 1), x)","F",0
187,0,0,0,0.000000," ","integrate((b*x^4+1)^p/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + 1\right)}^{p}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^4 + 1)^p/(x^2 - 1)^2, x)","F",0
188,0,0,0,0.000000," ","integrate((b*x^4+1)^p/(-x^2+1)^3,x, algorithm=""maxima"")","-\int \frac{{\left(b x^{4} + 1\right)}^{p}}{{\left(x^{2} - 1\right)}^{3}}\,{d x}"," ",0,"-integrate((b*x^4 + 1)^p/(x^2 - 1)^3, x)","F",0
189,1,56,0,2.248232," ","integrate((e*x^2+d)^4/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\frac{1}{5} \, e^{2} x^{5} - \frac{4}{3} \, d e x^{3} - \frac{4 \, d^{3} \log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{\sqrt{d e}} - 7 \, d^{2} x"," ",0,"-1/5*e^2*x^5 - 4/3*d*e*x^3 - 4*d^3*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/sqrt(d*e) - 7*d^2*x","A",0
190,1,45,0,2.452997," ","integrate((e*x^2+d)^3/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\frac{1}{3} \, e x^{3} - \frac{2 \, d^{2} \log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{\sqrt{d e}} - 3 \, d x"," ",0,"-1/3*e*x^3 - 2*d^2*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/sqrt(d*e) - 3*d*x","A",0
191,1,36,0,2.450720," ","integrate((e*x^2+d)^2/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\frac{d \log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{\sqrt{d e}} - x"," ",0,"-d*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/sqrt(d*e) - x","A",0
192,1,31,0,2.350848," ","integrate((e*x^2+d)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{2 \, \sqrt{d e}}"," ",0,"-1/2*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/sqrt(d*e)","A",0
193,1,71,0,2.444918," ","integrate(1/(e*x^2+d)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","\frac{x}{4 \, {\left(d^{2} e x^{2} + d^{3}\right)}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d^{2}} - \frac{\log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2}}"," ",0,"1/4*x/(d^2*e*x^2 + d^3) + 1/2*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2) - 1/8*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/(sqrt(d*e)*d^2)","A",0
194,1,92,0,2.492653," ","integrate(1/(e*x^2+d)^2/(-e^2*x^4+d^2),x, algorithm=""maxima"")","\frac{5 \, e x^{3} + 7 \, d x}{16 \, {\left(d^{3} e^{2} x^{4} + 2 \, d^{4} e x^{2} + d^{5}\right)}} + \frac{7 \, \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3}} - \frac{\log\left(\frac{e x - \sqrt{d e}}{e x + \sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3}}"," ",0,"1/16*(5*e*x^3 + 7*d*x)/(d^3*e^2*x^4 + 2*d^4*e*x^2 + d^5) + 7/16*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3) - 1/16*log((e*x - sqrt(d*e))/(e*x + sqrt(d*e)))/(sqrt(d*e)*d^3)","A",0
195,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{e^{2} x^{4} - d^{2}}\,{d x}"," ",0,"-integrate((e*x^2 + d)^(3/2)/(e^2*x^4 - d^2), x)","F",0
196,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\int \frac{\sqrt{e x^{2} + d}}{e^{2} x^{4} - d^{2}}\,{d x}"," ",0,"-integrate(sqrt(e*x^2 + d)/(e^2*x^4 - d^2), x)","F",0
197,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(1/2)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(e^{2} x^{4} - d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-integrate(1/((e^2*x^4 - d^2)*sqrt(e*x^2 + d)), x)","F",0
198,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(3/2)/(-e^2*x^4+d^2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(e^{2} x^{4} - d^{2}\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate(1/((e^2*x^4 - d^2)*(e*x^2 + d)^(3/2)), x)","F",0
199,0,0,0,0.000000," ","integrate((b*x^2+a)^(5/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{5}{2}}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(5/2)/sqrt(-b^2*x^4 + a^2), x)","F",0
200,0,0,0,0.000000," ","integrate((b*x^2+a)^(3/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate((b*x^2 + a)^(3/2)/sqrt(-b^2*x^4 + a^2), x)","F",0
201,0,0,0,0.000000," ","integrate((b*x^2+a)^(1/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + a}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + a)/sqrt(-b^2*x^4 + a^2), x)","F",0
202,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(1/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} \sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*sqrt(b*x^2 + a)), x)","F",0
203,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(3/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} {\left(b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*(b*x^2 + a)^(3/2)), x)","F",0
204,0,0,0,0.000000," ","integrate(1/(b*x^2+a)^(5/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} {\left(b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*(b*x^2 + a)^(5/2)), x)","F",0
205,0,0,0,0.000000," ","integrate((-b*x^2+a)^(5/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{5}{2}}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(5/2)/sqrt(-b^2*x^4 + a^2), x)","F",0
206,0,0,0,0.000000," ","integrate((-b*x^2+a)^(3/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-b x^{2} + a\right)}^{\frac{3}{2}}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate((-b*x^2 + a)^(3/2)/sqrt(-b^2*x^4 + a^2), x)","F",0
207,0,0,0,0.000000," ","integrate((-b*x^2+a)^(1/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-b x^{2} + a}}{\sqrt{-b^{2} x^{4} + a^{2}}}\,{d x}"," ",0,"integrate(sqrt(-b*x^2 + a)/sqrt(-b^2*x^4 + a^2), x)","F",0
208,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(1/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} \sqrt{-b x^{2} + a}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*sqrt(-b*x^2 + a)), x)","F",0
209,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(3/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} {\left(-b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*(-b*x^2 + a)^(3/2)), x)","F",0
210,0,0,0,0.000000," ","integrate(1/(-b*x^2+a)^(5/2)/(-b^2*x^4+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b^{2} x^{4} + a^{2}} {\left(-b x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-b^2*x^4 + a^2)*(-b*x^2 + a)^(5/2)), x)","F",0
211,0,0,0,0.000000," ","integrate((x^2-1)^(1/2)/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - 1}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 - 1)/sqrt(x^4 - 1), x)","F",0
212,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/sqrt(x^4 - 1), x)","F",0
213,0,0,0,0.000000," ","integrate((-(x^2-1)^(1/2)+(x^2+1)^(1/2))/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1} - \sqrt{x^{2} - 1}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate((sqrt(x^2 + 1) - sqrt(x^2 - 1))/sqrt(x^4 - 1), x)","F",0
214,-2,0,0,0.000000," ","integrate((e*x^2+d)^4/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
215,-2,0,0,0.000000," ","integrate((e*x^2+d)^3/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
216,-2,0,0,0.000000," ","integrate((e*x^2+d)^2/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
217,-2,0,0,0.000000," ","integrate((e*x^2+d)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
218,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
219,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
220,0,0,0,0.000000," ","integrate((e*x^2+d)^(5/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{c e^{2} x^{4} + b e^{2} x^{2} - c d^{2} + b d e}\,{d x}"," ",0,"integrate((e*x^2 + d)^(5/2)/(c*e^2*x^4 + b*e^2*x^2 - c*d^2 + b*d*e), x)","F",0
221,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{c e^{2} x^{4} + b e^{2} x^{2} - c d^{2} + b d e}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/(c*e^2*x^4 + b*e^2*x^2 - c*d^2 + b*d*e), x)","F",0
222,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{c e^{2} x^{4} + b e^{2} x^{2} - c d^{2} + b d e}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/(c*e^2*x^4 + b*e^2*x^2 - c*d^2 + b*d*e), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(1/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c e^{2} x^{4} + b e^{2} x^{2} - c d^{2} + b d e\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(1/((c*e^2*x^4 + b*e^2*x^2 - c*d^2 + b*d*e)*sqrt(e*x^2 + d)), x)","F",0
224,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(3/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c e^{2} x^{4} + b e^{2} x^{2} - c d^{2} + b d e\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*e^2*x^4 + b*e^2*x^2 - c*d^2 + b*d*e)*(e*x^2 + d)^(3/2)), x)","F",0
225,0,0,0,0.000000," ","integrate((x^2+1)^3*(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)*(x^2 + 1)^3, x)","F",0
226,0,0,0,0.000000," ","integrate((x^2+1)^2*(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)*(x^2 + 1)^2, x)","F",0
227,0,0,0,0.000000," ","integrate((x^2+1)*(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)*(x^2 + 1), x)","F",0
228,0,0,0,0.000000," ","integrate((x^4+x^2+1)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)/(x^2 + 1), x)","F",0
229,0,0,0,0.000000," ","integrate((x^4+x^2+1)^(1/2)/(x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1}}{{\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)/(x^2 + 1)^2, x)","F",0
230,0,0,0,0.000000," ","integrate((x^4+x^2+1)^(1/2)/(x^2+1)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1}}{{\left(x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)/(x^2 + 1)^3, x)","F",0
231,0,0,0,0.000000," ","integrate((x^4+x^2+1)^(1/2)/(x^2+1)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1}}{{\left(x^{2} + 1\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)/(x^2 + 1)^4, x)","F",0
232,0,0,0,0.000000," ","integrate((x^2+1)^3/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{3}}{\sqrt{x^{4} + x^{2} + 1}}\,{d x}"," ",0,"integrate((x^2 + 1)^3/sqrt(x^4 + x^2 + 1), x)","F",0
233,0,0,0,0.000000," ","integrate((x^2+1)^2/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2}}{\sqrt{x^{4} + x^{2} + 1}}\,{d x}"," ",0,"integrate((x^2 + 1)^2/sqrt(x^4 + x^2 + 1), x)","F",0
234,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{4} + x^{2} + 1}}\,{d x}"," ",0,"integrate((x^2 + 1)/sqrt(x^4 + x^2 + 1), x)","F",0
235,0,0,0,0.000000," ","integrate(1/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)), x)","F",0
236,0,0,0,0.000000," ","integrate(1/(x^2+1)^2/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)^2), x)","F",0
237,0,0,0,0.000000," ","integrate(1/(x^2+1)^3/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)^3), x)","F",0
238,0,0,0,0.000000," ","integrate((x^2+1)^3/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{3}}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^2 + 1)^3/(x^4 + x^2 + 1)^(3/2), x)","F",0
239,0,0,0,0.000000," ","integrate((x^2+1)^2/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2}}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^2 + 1)^2/(x^4 + x^2 + 1)^(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate((x^2+1)/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^2 + 1)/(x^4 + x^2 + 1)^(3/2), x)","F",0
241,0,0,0,0.000000," ","integrate(1/(x^2+1)/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 + x^2 + 1)^(3/2)*(x^2 + 1)), x)","F",0
242,0,0,0,0.000000," ","integrate(1/(x^2+1)^2/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(1/((x^4 + x^2 + 1)^(3/2)*(x^2 + 1)^2), x)","F",0
243,0,0,0,0.000000," ","integrate(1/(x^2+1)^3/(x^4+x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}} {\left(x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate(1/((x^4 + x^2 + 1)^(3/2)*(x^2 + 1)^3), x)","F",0
244,1,135,0,0.962496," ","integrate((e*x^2+d)^4*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{13} \, c e^{4} x^{13} + \frac{1}{11} \, {\left(4 \, c d e^{3} + b e^{4}\right)} x^{11} + \frac{1}{9} \, {\left(6 \, c d^{2} e^{2} + 4 \, b d e^{3} + a e^{4}\right)} x^{9} + \frac{2}{7} \, {\left(2 \, c d^{3} e + 3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{7} + a d^{4} x + \frac{1}{5} \, {\left(c d^{4} + 4 \, b d^{3} e + 6 \, a d^{2} e^{2}\right)} x^{5} + \frac{1}{3} \, {\left(b d^{4} + 4 \, a d^{3} e\right)} x^{3}"," ",0,"1/13*c*e^4*x^13 + 1/11*(4*c*d*e^3 + b*e^4)*x^11 + 1/9*(6*c*d^2*e^2 + 4*b*d*e^3 + a*e^4)*x^9 + 2/7*(2*c*d^3*e + 3*b*d^2*e^2 + 2*a*d*e^3)*x^7 + a*d^4*x + 1/5*(c*d^4 + 4*b*d^3*e + 6*a*d^2*e^2)*x^5 + 1/3*(b*d^4 + 4*a*d^3*e)*x^3","A",0
245,1,102,0,1.034233," ","integrate((e*x^2+d)^3*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{11} \, c e^{3} x^{11} + \frac{1}{9} \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{9} + \frac{1}{7} \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} x^{7} + \frac{1}{5} \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} x^{5} + a d^{3} x + \frac{1}{3} \, {\left(b d^{3} + 3 \, a d^{2} e\right)} x^{3}"," ",0,"1/11*c*e^3*x^11 + 1/9*(3*c*d*e^2 + b*e^3)*x^9 + 1/7*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*x^7 + 1/5*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*x^5 + a*d^3*x + 1/3*(b*d^3 + 3*a*d^2*e)*x^3","A",0
246,1,69,0,1.074016," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{9} \, c e^{2} x^{9} + \frac{1}{7} \, {\left(2 \, c d e + b e^{2}\right)} x^{7} + \frac{1}{5} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{5} + a d^{2} x + \frac{1}{3} \, {\left(b d^{2} + 2 \, a d e\right)} x^{3}"," ",0,"1/9*c*e^2*x^9 + 1/7*(2*c*d*e + b*e^2)*x^7 + 1/5*(c*d^2 + 2*b*d*e + a*e^2)*x^5 + a*d^2*x + 1/3*(b*d^2 + 2*a*d*e)*x^3","A",0
247,1,36,0,0.904207," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{7} \, c e x^{7} + \frac{1}{5} \, {\left(c d + b e\right)} x^{5} + \frac{1}{3} \, {\left(b d + a e\right)} x^{3} + a d x"," ",0,"1/7*c*e*x^7 + 1/5*(c*d + b*e)*x^5 + 1/3*(b*d + a*e)*x^3 + a*d*x","A",0
248,1,58,0,2.409117," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d),x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}} + \frac{c e x^{3} - 3 \, {\left(c d - b e\right)} x}{3 \, e^{2}}"," ",0,"(c*d^2 - b*d*e + a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2) + 1/3*(c*e*x^3 - 3*(c*d - b*e)*x)/e^2","A",0
249,1,84,0,2.245210," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{2 \, {\left(d e^{3} x^{2} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{{\left(3 \, c d^{2} - b d e - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{2}}"," ",0,"1/2*(c*d^2 - b*d*e + a*e^2)*x/(d*e^3*x^2 + d^2*e^2) + c*x/e^2 - 1/2*(3*c*d^2 - b*d*e - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^2)","A",0
250,1,121,0,2.252803," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, c d^{2} e - b d e^{2} - 3 \, a e^{3}\right)} x^{3} + {\left(3 \, c d^{3} + b d^{2} e - 5 \, a d e^{2}\right)} x}{8 \, {\left(d^{2} e^{4} x^{4} + 2 \, d^{3} e^{3} x^{2} + d^{4} e^{2}\right)}} + \frac{{\left(3 \, c d^{2} + b d e + 3 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2} e^{2}}"," ",0,"-1/8*((5*c*d^2*e - b*d*e^2 - 3*a*e^3)*x^3 + (3*c*d^3 + b*d^2*e - 5*a*d*e^2)*x)/(d^2*e^4*x^4 + 2*d^3*e^3*x^2 + d^4*e^2) + 1/8*(3*c*d^2 + b*d*e + 3*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e^2)","A",0
251,1,162,0,2.506535," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(c d^{2} e^{2} + b d e^{3} + 5 \, a e^{4}\right)} x^{5} - 8 \, {\left(c d^{3} e - b d^{2} e^{2} - 5 \, a d e^{3}\right)} x^{3} - 3 \, {\left(c d^{4} + b d^{3} e - 11 \, a d^{2} e^{2}\right)} x}{48 \, {\left(d^{3} e^{5} x^{6} + 3 \, d^{4} e^{4} x^{4} + 3 \, d^{5} e^{3} x^{2} + d^{6} e^{2}\right)}} + \frac{{\left(c d^{2} + b d e + 5 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3} e^{2}}"," ",0,"1/48*(3*(c*d^2*e^2 + b*d*e^3 + 5*a*e^4)*x^5 - 8*(c*d^3*e - b*d^2*e^2 - 5*a*d*e^3)*x^3 - 3*(c*d^4 + b*d^3*e - 11*a*d^2*e^2)*x)/(d^3*e^5*x^6 + 3*d^4*e^4*x^4 + 3*d^5*e^3*x^2 + d^6*e^2) + 1/16*(c*d^2 + b*d*e + 5*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3*e^2)","A",0
252,1,218,0,1.044483," ","integrate((e*x^2+d)^3*(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{15} \, c^{2} e^{3} x^{15} + \frac{1}{13} \, {\left(3 \, c^{2} d e^{2} + 2 \, b c e^{3}\right)} x^{13} + \frac{1}{11} \, {\left(3 \, c^{2} d^{2} e + 6 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x^{11} + \frac{1}{9} \, {\left(c^{2} d^{3} + 6 \, b c d^{2} e + 2 \, a b e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} x^{9} + \frac{1}{7} \, {\left(2 \, b c d^{3} + 6 \, a b d e^{2} + a^{2} e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e\right)} x^{7} + a^{2} d^{3} x + \frac{1}{5} \, {\left(6 \, a b d^{2} e + 3 \, a^{2} d e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{3}\right)} x^{5} + \frac{1}{3} \, {\left(2 \, a b d^{3} + 3 \, a^{2} d^{2} e\right)} x^{3}"," ",0,"1/15*c^2*e^3*x^15 + 1/13*(3*c^2*d*e^2 + 2*b*c*e^3)*x^13 + 1/11*(3*c^2*d^2*e + 6*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x^11 + 1/9*(c^2*d^3 + 6*b*c*d^2*e + 2*a*b*e^3 + 3*(b^2 + 2*a*c)*d*e^2)*x^9 + 1/7*(2*b*c*d^3 + 6*a*b*d*e^2 + a^2*e^3 + 3*(b^2 + 2*a*c)*d^2*e)*x^7 + a^2*d^3*x + 1/5*(6*a*b*d^2*e + 3*a^2*d*e^2 + (b^2 + 2*a*c)*d^3)*x^5 + 1/3*(2*a*b*d^3 + 3*a^2*d^2*e)*x^3","A",0
253,1,147,0,1.136116," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{13} \, c^{2} e^{2} x^{13} + \frac{2}{11} \, {\left(c^{2} d e + b c e^{2}\right)} x^{11} + \frac{1}{9} \, {\left(c^{2} d^{2} + 4 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x^{9} + \frac{2}{7} \, {\left(b c d^{2} + a b e^{2} + {\left(b^{2} + 2 \, a c\right)} d e\right)} x^{7} + \frac{1}{5} \, {\left(4 \, a b d e + a^{2} e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{2}\right)} x^{5} + a^{2} d^{2} x + \frac{2}{3} \, {\left(a b d^{2} + a^{2} d e\right)} x^{3}"," ",0,"1/13*c^2*e^2*x^13 + 2/11*(c^2*d*e + b*c*e^2)*x^11 + 1/9*(c^2*d^2 + 4*b*c*d*e + (b^2 + 2*a*c)*e^2)*x^9 + 2/7*(b*c*d^2 + a*b*e^2 + (b^2 + 2*a*c)*d*e)*x^7 + 1/5*(4*a*b*d*e + a^2*e^2 + (b^2 + 2*a*c)*d^2)*x^5 + a^2*d^2*x + 2/3*(a*b*d^2 + a^2*d*e)*x^3","A",0
254,1,90,0,1.008956," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, c^{2} e x^{11} + \frac{1}{9} \, {\left(c^{2} d + 2 \, b c e\right)} x^{9} + \frac{1}{7} \, {\left(2 \, b c d + {\left(b^{2} + 2 \, a c\right)} e\right)} x^{7} + \frac{1}{5} \, {\left(2 \, a b e + {\left(b^{2} + 2 \, a c\right)} d\right)} x^{5} + a^{2} d x + \frac{1}{3} \, {\left(2 \, a b d + a^{2} e\right)} x^{3}"," ",0,"1/11*c^2*e*x^11 + 1/9*(c^2*d + 2*b*c*e)*x^9 + 1/7*(2*b*c*d + (b^2 + 2*a*c)*e)*x^7 + 1/5*(2*a*b*e + (b^2 + 2*a*c)*d)*x^5 + a^2*d*x + 1/3*(2*a*b*d + a^2*e)*x^3","A",0
255,1,45,0,1.103084," ","integrate((c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, c^{2} x^{9} + \frac{2}{7} \, b c x^{7} + \frac{1}{5} \, b^{2} x^{5} + a^{2} x + \frac{2}{15} \, {\left(3 \, c x^{5} + 5 \, b x^{3}\right)} a"," ",0,"1/9*c^2*x^9 + 2/7*b*c*x^7 + 1/5*b^2*x^5 + a^2*x + 2/15*(3*c*x^5 + 5*b*x^3)*a","A",0
256,1,176,0,2.376608," ","integrate((c*x^4+b*x^2+a)^2/(e*x^2+d),x, algorithm=""maxima"")","\frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{4}} + \frac{15 \, c^{2} e^{3} x^{7} - 21 \, {\left(c^{2} d e^{2} - 2 \, b c e^{3}\right)} x^{5} + 35 \, {\left(c^{2} d^{2} e - 2 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x^{3} - 105 \, {\left(c^{2} d^{3} - 2 \, b c d^{2} e - 2 \, a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} x}{105 \, e^{4}}"," ",0,"(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^4) + 1/105*(15*c^2*e^3*x^7 - 21*(c^2*d*e^2 - 2*b*c*e^3)*x^5 + 35*(c^2*d^2*e - 2*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x^3 - 105*(c^2*d^3 - 2*b*c*d^2*e - 2*a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*x)/e^4","A",0
257,1,205,0,2.415617," ","integrate((c*x^4+b*x^2+a)^2/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} x}{2 \, {\left(d e^{5} x^{2} + d^{2} e^{4}\right)}} + \frac{3 \, c^{2} e^{2} x^{5} - 10 \, {\left(c^{2} d e - b c e^{2}\right)} x^{3} + 15 \, {\left(3 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x}{15 \, e^{4}} - \frac{{\left(7 \, c^{2} d^{4} - 10 \, b c d^{3} e - 2 \, a b d e^{3} - a^{2} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{4}}"," ",0,"1/2*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*x/(d*e^5*x^2 + d^2*e^4) + 1/15*(3*c^2*e^2*x^5 - 10*(c^2*d*e - b*c*e^2)*x^3 + 15*(3*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*a*c)*e^2)*x)/e^4 - 1/2*(7*c^2*d^4 - 10*b*c*d^3*e - 2*a*b*d*e^3 - a^2*e^4 + 3*(b^2 + 2*a*c)*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^4)","A",0
258,1,245,0,2.363223," ","integrate((c*x^4+b*x^2+a)^2/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, c^{2} d^{4} e - 18 \, b c d^{3} e^{2} - 2 \, a b d e^{4} - 3 \, a^{2} e^{5} + 5 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{3}\right)} x^{3} + {\left(11 \, c^{2} d^{5} - 14 \, b c d^{4} e + 2 \, a b d^{2} e^{3} - 5 \, a^{2} d e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{3} e^{2}\right)} x}{8 \, {\left(d^{2} e^{6} x^{4} + 2 \, d^{3} e^{5} x^{2} + d^{4} e^{4}\right)}} + \frac{c^{2} e x^{3} - 3 \, {\left(3 \, c^{2} d - 2 \, b c e\right)} x}{3 \, e^{4}} + \frac{{\left(35 \, c^{2} d^{4} - 30 \, b c d^{3} e + 2 \, a b d e^{3} + 3 \, a^{2} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2} e^{4}}"," ",0,"-1/8*((13*c^2*d^4*e - 18*b*c*d^3*e^2 - 2*a*b*d*e^4 - 3*a^2*e^5 + 5*(b^2 + 2*a*c)*d^2*e^3)*x^3 + (11*c^2*d^5 - 14*b*c*d^4*e + 2*a*b*d^2*e^3 - 5*a^2*d*e^4 + 3*(b^2 + 2*a*c)*d^3*e^2)*x)/(d^2*e^6*x^4 + 2*d^3*e^5*x^2 + d^4*e^4) + 1/3*(c^2*e*x^3 - 3*(3*c^2*d - 2*b*c*e)*x)/e^4 + 1/8*(35*c^2*d^4 - 30*b*c*d^3*e + 2*a*b*d*e^3 + 3*a^2*e^4 + 3*(b^2 + 2*a*c)*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e^4)","A",0
259,1,300,0,2.389849," ","integrate((c*x^4+b*x^2+a)^2/(e*x^2+d)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(29 \, c^{2} d^{4} e^{2} - 22 \, b c d^{3} e^{3} + 2 \, a b d e^{5} + 5 \, a^{2} e^{6} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{4}\right)} x^{5} + 8 \, {\left(17 \, c^{2} d^{5} e - 10 \, b c d^{4} e^{2} + 2 \, a b d^{2} e^{4} + 5 \, a^{2} d e^{5} - {\left(b^{2} + 2 \, a c\right)} d^{3} e^{3}\right)} x^{3} + 3 \, {\left(19 \, c^{2} d^{6} - 10 \, b c d^{5} e - 2 \, a b d^{3} e^{3} + 11 \, a^{2} d^{2} e^{4} - {\left(b^{2} + 2 \, a c\right)} d^{4} e^{2}\right)} x}{48 \, {\left(d^{3} e^{7} x^{6} + 3 \, d^{4} e^{6} x^{4} + 3 \, d^{5} e^{5} x^{2} + d^{6} e^{4}\right)}} + \frac{c^{2} x}{e^{4}} - \frac{{\left(35 \, c^{2} d^{4} - 10 \, b c d^{3} e - 2 \, a b d e^{3} - 5 \, a^{2} e^{4} - {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{d e} d^{3} e^{4}}"," ",0,"1/48*(3*(29*c^2*d^4*e^2 - 22*b*c*d^3*e^3 + 2*a*b*d*e^5 + 5*a^2*e^6 + (b^2 + 2*a*c)*d^2*e^4)*x^5 + 8*(17*c^2*d^5*e - 10*b*c*d^4*e^2 + 2*a*b*d^2*e^4 + 5*a^2*d*e^5 - (b^2 + 2*a*c)*d^3*e^3)*x^3 + 3*(19*c^2*d^6 - 10*b*c*d^5*e - 2*a*b*d^3*e^3 + 11*a^2*d^2*e^4 - (b^2 + 2*a*c)*d^4*e^2)*x)/(d^3*e^7*x^6 + 3*d^4*e^6*x^4 + 3*d^5*e^5*x^2 + d^6*e^4) + c^2*x/e^4 - 1/16*(35*c^2*d^4 - 10*b*c*d^3*e - 2*a*b*d*e^3 - 5*a^2*e^4 - (b^2 + 2*a*c)*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3*e^4)","A",0
260,1,366,0,2.519457," ","integrate((c*x^4+b*x^2+a)^2/(e*x^2+d)^5,x, algorithm=""maxima"")","-\frac{3 \, {\left(93 \, c^{2} d^{4} e^{3} - 10 \, b c d^{3} e^{4} - 10 \, a b d e^{6} - 35 \, a^{2} e^{7} - 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{5}\right)} x^{7} + {\left(511 \, c^{2} d^{5} e^{2} + 146 \, b c d^{4} e^{3} - 110 \, a b d^{2} e^{5} - 385 \, a^{2} d e^{6} - 33 \, {\left(b^{2} + 2 \, a c\right)} d^{3} e^{4}\right)} x^{5} + {\left(385 \, c^{2} d^{6} e + 110 \, b c d^{5} e^{2} - 146 \, a b d^{3} e^{4} - 511 \, a^{2} d^{2} e^{5} + 33 \, {\left(b^{2} + 2 \, a c\right)} d^{4} e^{3}\right)} x^{3} + 3 \, {\left(35 \, c^{2} d^{7} + 10 \, b c d^{6} e + 10 \, a b d^{4} e^{3} - 93 \, a^{2} d^{3} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{5} e^{2}\right)} x}{384 \, {\left(d^{4} e^{8} x^{8} + 4 \, d^{5} e^{7} x^{6} + 6 \, d^{6} e^{6} x^{4} + 4 \, d^{7} e^{5} x^{2} + d^{8} e^{4}\right)}} + \frac{{\left(35 \, c^{2} d^{4} + 10 \, b c d^{3} e + 10 \, a b d e^{3} + 35 \, a^{2} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{128 \, \sqrt{d e} d^{4} e^{4}}"," ",0,"-1/384*(3*(93*c^2*d^4*e^3 - 10*b*c*d^3*e^4 - 10*a*b*d*e^6 - 35*a^2*e^7 - 3*(b^2 + 2*a*c)*d^2*e^5)*x^7 + (511*c^2*d^5*e^2 + 146*b*c*d^4*e^3 - 110*a*b*d^2*e^5 - 385*a^2*d*e^6 - 33*(b^2 + 2*a*c)*d^3*e^4)*x^5 + (385*c^2*d^6*e + 110*b*c*d^5*e^2 - 146*a*b*d^3*e^4 - 511*a^2*d^2*e^5 + 33*(b^2 + 2*a*c)*d^4*e^3)*x^3 + 3*(35*c^2*d^7 + 10*b*c*d^6*e + 10*a*b*d^4*e^3 - 93*a^2*d^3*e^4 + 3*(b^2 + 2*a*c)*d^5*e^2)*x)/(d^4*e^8*x^8 + 4*d^5*e^7*x^6 + 6*d^6*e^6*x^4 + 4*d^7*e^5*x^2 + d^8*e^4) + 1/128*(35*c^2*d^4 + 10*b*c*d^3*e + 10*a*b*d*e^3 + 35*a^2*e^4 + 3*(b^2 + 2*a*c)*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^4*e^4)","A",0
261,1,84,0,2.342342," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{2 \, {\left(d e^{3} x^{2} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{{\left(3 \, c d^{2} - b d e - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{2}}"," ",0,"1/2*(c*d^2 - b*d*e + a*e^2)*x/(d*e^3*x^2 + d^2*e^2) + c*x/e^2 - 1/2*(3*c*d^2 - b*d*e - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^2)","A",0
262,1,84,0,2.368932," ","integrate((a+x^2*(c*x^2+b))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{2 \, {\left(d e^{3} x^{2} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{{\left(3 \, c d^{2} - b d e - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{2}}"," ",0,"1/2*(c*d^2 - b*d*e + a*e^2)*x/(d*e^3*x^2 + d^2*e^2) + c*x/e^2 - 1/2*(3*c*d^2 - b*d*e - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^2)","A",0
263,0,0,0,0.000000," ","integrate((e*x^2+d)^4/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{3 \, c^{2} e^{4} x^{5} + 5 \, {\left(4 \, c^{2} d e^{3} - b c e^{4}\right)} x^{3} + 15 \, {\left(6 \, c^{2} d^{2} e^{2} - 4 \, b c d e^{3} + {\left(b^{2} - a c\right)} e^{4}\right)} x}{15 \, c^{3}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{4} - 2 \, b^{4} c^{4} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{5} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{5} + 16 \, a b^{2} c^{5} + 2 \, b^{3} c^{5} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{6} - 32 \, a^{2} c^{6} - 8 \, a b c^{6} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{5} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{4} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{5} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{5}\right)} d^{4} - 8 \, {\left(2 \, a b^{2} c^{5} - 8 \, a^{2} c^{6} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{5} - 2 \, {\left(b^{2} - 4 \, a c\right)} a c^{5}\right)} d^{3} e - 6 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 2 \, a b^{4} c^{3} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + 16 \, a^{2} b^{2} c^{4} - 2 \, a b^{3} c^{4} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} - 32 \, a^{3} c^{5} + 8 \, a^{2} b c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{4}\right)} d^{2} e^{2} + 4 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 2 \, a b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 16 \, a^{2} b^{3} c^{3} - 2 \, a b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 32 \, a^{3} b c^{4} + 12 \, a^{2} b^{2} c^{4} - 16 \, a^{3} c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} d e^{3} - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 9 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, a b^{6} c + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 18 \, a^{2} b^{4} c^{2} - 2 \, a b^{5} c^{2} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 5 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 48 \, a^{3} b^{2} c^{3} + 14 \, a^{2} b^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 32 \, a^{4} c^{4} - 24 \, a^{3} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c - 10 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} - 6 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} e^{4}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{4} + 2 \, b^{4} c^{4} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{5} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{5} - 16 \, a b^{2} c^{5} - 2 \, b^{3} c^{5} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{6} + 32 \, a^{2} c^{6} + 8 \, a b c^{6} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{5} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{4} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{5} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{5}\right)} d^{4} + 8 \, {\left(2 \, a b^{2} c^{5} - 8 \, a^{2} c^{6} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{5} - 2 \, {\left(b^{2} - 4 \, a c\right)} a c^{5}\right)} d^{3} e - 6 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 2 \, a b^{4} c^{3} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} - 16 \, a^{2} b^{2} c^{4} + 2 \, a b^{3} c^{4} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} + 32 \, a^{3} c^{5} - 8 \, a^{2} b c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{4}\right)} d^{2} e^{2} + 4 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 2 \, a b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 16 \, a^{2} b^{3} c^{3} + 2 \, a b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 32 \, a^{3} b c^{4} - 12 \, a^{2} b^{2} c^{4} + 16 \, a^{3} c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} d e^{3} - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 9 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 2 \, a b^{6} c + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 18 \, a^{2} b^{4} c^{2} + 2 \, a b^{5} c^{2} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 5 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 48 \, a^{3} b^{2} c^{3} - 14 \, a^{2} b^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 32 \, a^{4} c^{4} + 24 \, a^{3} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} + 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c + 10 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} e^{4}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{c^{3}}"," ",0,"1/15*(3*c^2*e^4*x^5 + 5*(4*c^2*d*e^3 - b*c*e^4)*x^3 + 15*(6*c^2*d^2*e^2 - 4*b*c*d*e^3 + (b^2 - a*c)*e^4)*x)/c^3 + integrate((c^3*d^4 - 6*a*c^2*d^2*e^2 + 4*a*b*c*d*e^3 - (a*b^2 - a^2*c)*e^4 + (4*c^3*d^3*e - 6*b*c^2*d^2*e^2 + 4*(b^2*c - a*c^2)*d*e^3 - (b^3 - 2*a*b*c)*e^4)*x^2)/(c*x^4 + b*x^2 + a), x)/c^3","F",0
264,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{c e^{3} x^{3} + 3 \, {\left(3 \, c d e^{2} - b e^{3}\right)} x}{3 \, c^{2}} - \frac{-\int \frac{c^{2} d^{3} - 3 \, a c d e^{2} + a b e^{3} + {\left(3 \, c^{2} d^{2} e - 3 \, b c d e^{2} + {\left(b^{2} - a c\right)} e^{3}\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{c^{2}}"," ",0,"1/3*(c*e^3*x^3 + 3*(3*c*d*e^2 - b*e^3)*x)/c^2 - integrate(-(c^2*d^3 - 3*a*c*d*e^2 + a*b*e^3 + (3*c^2*d^2*e - 3*b*c*d*e^2 + (b^2 - a*c)*e^3)*x^2)/(c*x^4 + b*x^2 + a), x)/c^2","F",0
265,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{e^{2} x}{c} - \frac{-\int \frac{c d^{2} - a e^{2} + {\left(2 \, c d e - b e^{2}\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{c}"," ",0,"e^2*x/c - integrate(-(c*d^2 - a*e^2 + (2*c*d*e - b*e^2)*x^2)/(c*x^4 + b*x^2 + a), x)/c","F",0
266,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)/(c*x^4 + b*x^2 + a), x)","F",0
267,0,0,0,0.000000," ","integrate(1/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(1/(c*x^4 + b*x^2 + a), x)","F",0
268,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{d e}} - \frac{-\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 16 \, a b^{2} c^{3} + 2 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 32 \, a^{2} c^{4} - 8 \, a b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} d - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 16 \, a b^{3} c^{2} + 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 32 \, a^{2} b c^{3} - 12 \, a b^{2} c^{3} + 16 \, a^{2} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} - \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 16 \, a b^{2} c^{3} - 2 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 32 \, a^{2} c^{4} + 8 \, a b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} d - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 16 \, a b^{3} c^{2} - 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 32 \, a^{2} b c^{3} + 12 \, a b^{2} c^{3} - 16 \, a^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{c d^{2} - b d e + a e^{2}}"," ",0,"e^2*arctan(e*x/sqrt(d*e))/((c*d^2 - b*d*e + a*e^2)*sqrt(d*e)) - integrate((c*e*x^2 - c*d + b*e)/(c*x^4 + b*x^2 + a), x)/(c*d^2 - b*d*e + a*e^2)","F",0
269,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{e^{2} x}{2 \, {\left(c d^{4} - b d^{3} e + a d^{2} e^{2} + {\left(c d^{3} e - b d^{2} e^{2} + a d e^{3}\right)} x^{2}\right)}} + \frac{{\left(5 \, c d^{2} e^{2} - 3 \, b d e^{3} + a e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, {\left(c^{2} d^{5} - 2 \, b c d^{4} e - 2 \, a b d^{2} e^{3} + a^{2} d e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{3} e^{2}\right)} \sqrt{d e}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 2 \, b^{4} c^{3} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{4} + 16 \, a b^{2} c^{4} + 2 \, b^{3} c^{4} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{5} - 32 \, a^{2} c^{5} - 8 \, a b c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{4}\right)} d^{2} - 2 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 2 \, b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 16 \, a b^{3} c^{3} + 2 \, b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 32 \, a^{2} b c^{4} - 12 \, a b^{2} c^{4} + 16 \, a^{2} c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} d e + {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} - 9 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 2 \, b^{6} c + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 18 \, a b^{4} c^{2} + 2 \, b^{5} c^{2} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 5 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 48 \, a^{2} b^{2} c^{3} - 14 \, a b^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 32 \, a^{3} c^{4} + 24 \, a^{2} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} + 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 10 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} e^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 2 \, b^{4} c^{3} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{4} - 16 \, a b^{2} c^{4} - 2 \, b^{3} c^{4} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{5} + 32 \, a^{2} c^{5} + 8 \, a b c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{4}\right)} d^{2} - 2 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 2 \, b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 16 \, a b^{3} c^{3} - 2 \, b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 32 \, a^{2} b c^{4} + 12 \, a b^{2} c^{4} - 16 \, a^{2} c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} - 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} d e + {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 9 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 2 \, b^{6} c + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 18 \, a b^{4} c^{2} - 2 \, b^{5} c^{2} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 5 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 48 \, a^{2} b^{2} c^{3} + 14 \, a b^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 32 \, a^{3} c^{4} - 24 \, a^{2} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 10 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} e^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}}"," ",0,"1/2*e^2*x/(c*d^4 - b*d^3*e + a*d^2*e^2 + (c*d^3*e - b*d^2*e^2 + a*d*e^3)*x^2) + 1/2*(5*c*d^2*e^2 - 3*b*d*e^3 + a*e^4)*arctan(e*x/sqrt(d*e))/((c^2*d^5 - 2*b*c*d^4*e - 2*a*b*d^2*e^3 + a^2*d*e^4 + (b^2 + 2*a*c)*d^3*e^2)*sqrt(d*e)) + integrate((c^2*d^2 - 2*b*c*d*e + (b^2 - a*c)*e^2 - (2*c^2*d*e - b*c*e^2)*x^2)/(c*x^4 + b*x^2 + a), x)/(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)","F",0
270,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(b c^{2} d^{3} - 6 \, a c^{2} d^{2} e + 3 \, a b c d e^{2} - {\left(a b^{2} - 2 \, a^{2} c\right)} e^{3}\right)} x^{3} - {\left(3 \, a b c d^{2} e - 6 \, a^{2} c d e^{2} + a^{2} b e^{3} - {\left(b^{2} c - 2 \, a c^{2}\right)} d^{3}\right)} x}{2 \, {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2} + {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} x^{4} + {\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} x^{2}\right)}} - \frac{-\int \frac{3 \, a b c d^{2} e - 6 \, a^{2} c d e^{2} + a^{2} b e^{3} + {\left(b^{2} c - 6 \, a c^{2}\right)} d^{3} + {\left(b c^{2} d^{3} - 6 \, a c^{2} d^{2} e + 3 \, a b c d e^{2} + {\left(a b^{2} - 6 \, a^{2} c\right)} e^{3}\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{2 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)}}"," ",0,"1/2*((b*c^2*d^3 - 6*a*c^2*d^2*e + 3*a*b*c*d*e^2 - (a*b^2 - 2*a^2*c)*e^3)*x^3 - (3*a*b*c*d^2*e - 6*a^2*c*d*e^2 + a^2*b*e^3 - (b^2*c - 2*a*c^2)*d^3)*x)/(a^2*b^2*c - 4*a^3*c^2 + (a*b^2*c^2 - 4*a^2*c^3)*x^4 + (a*b^3*c - 4*a^2*b*c^2)*x^2) - 1/2*integrate(-(3*a*b*c*d^2*e - 6*a^2*c*d*e^2 + a^2*b*e^3 + (b^2*c - 6*a*c^2)*d^3 + (b*c^2*d^3 - 6*a*c^2*d^2*e + 3*a*b*c*d*e^2 + (a*b^2 - 6*a^2*c)*e^3)*x^2)/(c*x^4 + b*x^2 + a), x)/(a*b^2*c - 4*a^2*c^2)","F",0
271,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(b c d^{2} - 4 \, a c d e + a b e^{2}\right)} x^{3} - {\left(2 \, a b d e - 2 \, a^{2} e^{2} - {\left(b^{2} - 2 \, a c\right)} d^{2}\right)} x}{2 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} - 14 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 2 \, b^{6} c + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 28 \, a b^{4} c^{2} + 2 \, b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 48 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 128 \, a^{2} b^{2} c^{3} - 24 \, a b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 192 \, a^{3} c^{4} + 64 \, a^{2} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} d^{2} + 2 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, a b^{5} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 16 \, a^{2} b^{3} c^{2} + 2 \, a b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 32 \, a^{3} b c^{3} - 32 \, a^{3} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3}\right)} d e - 2 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, a^{2} b^{4} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 16 \, a^{3} b^{2} c^{2} + 4 \, a^{2} b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 32 \, a^{4} c^{3} - 16 \, a^{3} b c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{2} - 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2}\right)} e^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 14 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 2 \, b^{6} c + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 28 \, a b^{4} c^{2} - 2 \, b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 48 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 128 \, a^{2} b^{2} c^{3} + 24 \, a b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 192 \, a^{3} c^{4} - 64 \, a^{2} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} d^{2} + 2 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 2 \, a b^{5} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 16 \, a^{2} b^{3} c^{2} - 2 \, a b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 32 \, a^{3} b c^{3} + 32 \, a^{3} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3}\right)} d e - 2 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c + 2 \, a^{2} b^{4} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 16 \, a^{3} b^{2} c^{2} - 4 \, a^{2} b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 32 \, a^{4} c^{3} + 16 \, a^{3} b c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{2} + 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2}\right)} e^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"1/2*((b*c*d^2 - 4*a*c*d*e + a*b*e^2)*x^3 - (2*a*b*d*e - 2*a^2*e^2 - (b^2 - 2*a*c)*d^2)*x)/((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2) + 1/2*integrate((2*a*b*d*e - 2*a^2*e^2 + (b^2 - 6*a*c)*d^2 + (b*c*d^2 - 4*a*c*d*e + a*b*e^2)*x^2)/(c*x^4 + b*x^2 + a), x)/(a*b^2 - 4*a^2*c)","F",0
272,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(b c d - 2 \, a c e\right)} x^{3} - {\left(a b e - {\left(b^{2} - 2 \, a c\right)} d\right)} x}{2 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)}} - \frac{-\int \frac{a b e + {\left(b c d - 2 \, a c e\right)} x^{2} + {\left(b^{2} - 6 \, a c\right)} d}{c x^{4} + b x^{2} + a}\,{d x}}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"1/2*((b*c*d - 2*a*c*e)*x^3 - (a*b*e - (b^2 - 2*a*c)*d)*x)/((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2) - 1/2*integrate(-(a*b*e + (b*c*d - 2*a*c*e)*x^2 + (b^2 - 6*a*c)*d)/(c*x^4 + b*x^2 + a), x)/(a*b^2 - 4*a^2*c)","F",0
273,0,0,0,0.000000," ","integrate(1/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{b c x^{3} + {\left(b^{2} - 2 \, a c\right)} x}{2 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)}} + \frac{\frac{{\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} - 14 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 2 \, b^{6} c + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 28 \, a b^{4} c^{2} + 2 \, b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 48 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 128 \, a^{2} b^{2} c^{3} - 24 \, a b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 192 \, a^{3} c^{4} + 64 \, a^{2} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 14 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 2 \, b^{6} c + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 28 \, a b^{4} c^{2} - 2 \, b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 48 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 128 \, a^{2} b^{2} c^{3} + 24 \, a b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 192 \, a^{3} c^{4} - 64 \, a^{2} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"1/2*(b*c*x^3 + (b^2 - 2*a*c)*x)/((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2) + 1/2*integrate((b*c*x^2 + b^2 - 6*a*c)/(c*x^4 + b*x^2 + a), x)/(a*b^2 - 4*a^2*c)","F",0
274,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{e^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \sqrt{d e}} + \frac{{\left(b c^{2} d - {\left(b^{2} c - 2 \, a c^{2}\right)} e\right)} x^{3} + {\left({\left(b^{2} c - 2 \, a c^{2}\right)} d - {\left(b^{3} - 3 \, a b c\right)} e\right)} x}{2 \, {\left({\left({\left(a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} d^{2} - {\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} d e + {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} e^{2}\right)} x^{4} + {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} d^{2} - {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} d e + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} e^{2} + {\left({\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} d^{2} - {\left(a b^{4} - 4 \, a^{2} b^{2} c\right)} d e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} e^{2}\right)} x^{2}\right)}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} - 14 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{3} - 2 \, b^{6} c^{3} + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} + 20 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{4} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{4} + 28 \, a b^{4} c^{4} - 2 \, b^{5} c^{4} - 96 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} - 48 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{5} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{5} - 128 \, a^{2} b^{2} c^{5} + 24 \, a b^{3} c^{5} + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{6} + 192 \, a^{3} c^{6} - 64 \, a^{2} b c^{6} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{5} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{3} - 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{4} + 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{5} - 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{5}\right)} d^{3} - {\left(2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} c - 27 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} - 4 \, b^{7} c^{2} + 120 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} + 38 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} + 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{3} + 54 \, a b^{5} c^{3} - 4 \, b^{6} c^{3} - 176 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 88 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} - 19 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{4} - 240 \, a^{2} b^{3} c^{4} + 46 \, a b^{4} c^{4} + 44 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{5} + 352 \, a^{3} b c^{5} - 128 \, a^{2} b^{2} c^{5} + 32 \, a^{3} c^{6} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 23 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 30 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 15 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} + 4 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} - 38 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{3} + 88 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4} - 30 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{4} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{5}\right)} d^{2} e + {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{8} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} c - 2 \, b^{8} c + 18 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 12 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} + 20 \, a b^{6} c^{2} - 2 \, b^{7} c^{2} + 80 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} + 12 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} - 36 \, a^{2} b^{4} c^{3} + 16 \, a b^{5} c^{3} - 224 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{4} - 112 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} - 160 \, a^{3} b^{2} c^{4} - 8 \, a^{2} b^{3} c^{4} + 56 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} + 448 \, a^{4} c^{5} - 96 \, a^{3} b c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{6} c - 12 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} - 12 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} + 112 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4} - 24 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4}\right)} d e^{2} - {\left(3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{7} - 37 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{5} c - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 6 \, a b^{7} c + 152 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + 74 \, a^{2} b^{5} c^{2} - 6 \, a b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} b c^{3} - 104 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 304 \, a^{3} b^{3} c^{3} + 62 \, a^{2} b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} + 416 \, a^{4} b c^{4} - 192 \, a^{3} b^{2} c^{4} + 160 \, a^{4} c^{5} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{5} c - 50 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{3} c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} + 104 \, {\left(b^{2} - 4 \, a c\right)} a^{3} b c^{3} - 38 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} + 40 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4}\right)} e^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} - 14 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{3} + 2 \, b^{6} c^{3} + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} + 20 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{4} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{4} - 28 \, a b^{4} c^{4} - 2 \, b^{5} c^{4} - 96 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} - 48 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{5} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{5} + 128 \, a^{2} b^{2} c^{5} + 24 \, a b^{3} c^{5} + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{6} - 192 \, a^{3} c^{6} - 64 \, a^{2} b c^{6} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{5} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{3} + 20 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{4} - 48 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{5} - 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{5}\right)} d^{3} - {\left(2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} c - 27 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} + 4 \, b^{7} c^{2} + 120 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} + 38 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} + 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{3} - 54 \, a b^{5} c^{3} - 4 \, b^{6} c^{3} - 176 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 88 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} - 19 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{4} + 240 \, a^{2} b^{3} c^{4} + 46 \, a b^{4} c^{4} + 44 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{5} - 352 \, a^{3} b c^{5} - 128 \, a^{2} b^{2} c^{5} + 32 \, a^{3} c^{6} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 23 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 30 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 15 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} - 4 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} + 38 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{3} - 88 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4} - 30 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{4} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{5}\right)} d^{2} e + {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{8} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} c + 2 \, b^{8} c + 18 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 12 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} - 20 \, a b^{6} c^{2} - 2 \, b^{7} c^{2} + 80 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} + 12 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} + 36 \, a^{2} b^{4} c^{3} + 16 \, a b^{5} c^{3} - 224 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{4} - 112 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} + 160 \, a^{3} b^{2} c^{4} - 8 \, a^{2} b^{3} c^{4} + 56 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} - 448 \, a^{4} c^{5} - 96 \, a^{3} b c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{6} c + 12 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} + 12 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} - 112 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4} - 24 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4}\right)} d e^{2} - {\left(3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{7} - 37 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{5} c - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} c + 6 \, a b^{7} c + 152 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} - 74 \, a^{2} b^{5} c^{2} - 6 \, a b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} b c^{3} - 104 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} + 304 \, a^{3} b^{3} c^{3} + 62 \, a^{2} b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 416 \, a^{4} b c^{4} - 192 \, a^{3} b^{2} c^{4} + 160 \, a^{4} c^{5} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{5} c + 50 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{3} c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} - 104 \, {\left(b^{2} - 4 \, a c\right)} a^{3} b c^{3} - 38 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} + 40 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4}\right)} e^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{2 \, {\left({\left(a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} d^{4} - 2 \, {\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} d^{3} e + {\left(a b^{4} - 2 \, a^{2} b^{2} c - 8 \, a^{3} c^{2}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} d e^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} e^{4}\right)}}"," ",0,"e^4*arctan(e*x/sqrt(d*e))/((c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*sqrt(d*e)) + 1/2*((b*c^2*d - (b^2*c - 2*a*c^2)*e)*x^3 + ((b^2*c - 2*a*c^2)*d - (b^3 - 3*a*b*c)*e)*x)/(((a*b^2*c^2 - 4*a^2*c^3)*d^2 - (a*b^3*c - 4*a^2*b*c^2)*d*e + (a^2*b^2*c - 4*a^3*c^2)*e^2)*x^4 + (a^2*b^2*c - 4*a^3*c^2)*d^2 - (a^2*b^3 - 4*a^3*b*c)*d*e + (a^3*b^2 - 4*a^4*c)*e^2 + ((a*b^3*c - 4*a^2*b*c^2)*d^2 - (a*b^4 - 4*a^2*b^2*c)*d*e + (a^2*b^3 - 4*a^3*b*c)*e^2)*x^2) + 1/2*integrate(((b^2*c^2 - 6*a*c^3)*d^3 - (2*b^3*c - 11*a*b*c^2)*d^2*e + (b^4 - 2*a*b^2*c - 14*a^2*c^2)*d*e^2 - (3*a*b^3 - 13*a^2*b*c)*e^3 + (b*c^3*d^3 - 2*(b^2*c^2 - a*c^3)*d^2*e + (b^3*c - a*b*c^2)*d*e^2 - (3*a*b^2*c - 10*a^2*c^2)*e^3)*x^2)/(c*x^4 + b*x^2 + a), x)/((a*b^2*c^2 - 4*a^2*c^3)*d^4 - 2*(a*b^3*c - 4*a^2*b*c^2)*d^3*e + (a*b^4 - 2*a^2*b^2*c - 8*a^3*c^2)*d^2*e^2 - 2*(a^2*b^3 - 4*a^3*b*c)*d*e^3 + (a^3*b^2 - 4*a^4*c)*e^4)","F",0
275,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(9 \, c d^{2} e^{4} - 5 \, b d e^{5} + a e^{6}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, {\left(c^{3} d^{7} - 3 \, b c^{2} d^{6} e - 3 \, a^{2} b d^{2} e^{5} + a^{3} d e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{5} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{4} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{3} e^{4}\right)} \sqrt{d e}} + \frac{{\left(b c^{3} d^{3} e - 2 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{3} + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} e^{4}\right)} x^{5} + {\left(b c^{3} d^{4} - {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e - {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{2} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d e^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} e^{4}\right)} x^{3} + {\left({\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{4} - 2 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{3} e + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{2} e^{2} + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e^{4}\right)} x}{2 \, {\left({\left(a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d^{6} - 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{5} e + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c - 8 \, a^{4} c^{2}\right)} d^{4} e^{2} - 2 \, {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d^{3} e^{3} + {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} d^{2} e^{4} + {\left({\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{5} e - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d^{4} e^{2} + {\left(a b^{4} c - 2 \, a^{2} b^{2} c^{2} - 8 \, a^{3} c^{3}\right)} d^{3} e^{3} - 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{2} e^{4} + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e^{5}\right)} x^{6} + {\left({\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{6} - {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d^{5} e - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 8 \, a^{3} c^{3}\right)} d^{4} e^{2} + {\left(a b^{5} - 4 \, a^{2} b^{3} c\right)} d^{3} e^{3} - {\left(2 \, a^{2} b^{4} - 9 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} d^{2} e^{4} + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d e^{5}\right)} x^{4} + {\left({\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d^{6} - {\left(2 \, a b^{4} c - 9 \, a^{2} b^{2} c^{2} + 4 \, a^{3} c^{3}\right)} d^{5} e + {\left(a b^{5} - 4 \, a^{2} b^{3} c\right)} d^{4} e^{2} - {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c + 8 \, a^{4} c^{2}\right)} d^{3} e^{3} - {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d^{2} e^{4} + {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} d e^{5}\right)} x^{2}\right)}} - \frac{-\int \frac{{\left(b^{2} c^{3} - 6 \, a c^{4}\right)} d^{4} - {\left(3 \, b^{3} c^{2} - 16 \, a b c^{3}\right)} d^{3} e + 3 \, {\left(b^{4} c - 3 \, a b^{2} c^{2} - 8 \, a^{2} c^{3}\right)} d^{2} e^{2} - {\left(b^{5} + 6 \, a b^{3} c - 44 \, a^{2} b c^{2}\right)} d e^{3} + {\left(5 \, a b^{4} - 24 \, a^{2} b^{2} c + 14 \, a^{3} c^{2}\right)} e^{4} + {\left(b c^{4} d^{4} - {\left(3 \, b^{2} c^{3} - 4 \, a c^{4}\right)} d^{3} e + 3 \, {\left(b^{3} c^{2} - 2 \, a b c^{3}\right)} d^{2} e^{2} - {\left(b^{4} c + 7 \, a b^{2} c^{2} - 36 \, a^{2} c^{3}\right)} d e^{3} + {\left(5 \, a b^{3} c - 19 \, a^{2} b c^{2}\right)} e^{4}\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{2 \, {\left({\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{6} - 3 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d^{5} e + 3 \, {\left(a b^{4} c - 3 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d^{4} e^{2} - {\left(a b^{5} + 2 \, a^{2} b^{3} c - 24 \, a^{3} b c^{2}\right)} d^{3} e^{3} + 3 \, {\left(a^{2} b^{4} - 3 \, a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d^{2} e^{4} - 3 \, {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d e^{5} + {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} e^{6}\right)}}"," ",0,"1/2*(9*c*d^2*e^4 - 5*b*d*e^5 + a*e^6)*arctan(e*x/sqrt(d*e))/((c^3*d^7 - 3*b*c^2*d^6*e - 3*a^2*b*d^2*e^5 + a^3*d*e^6 + 3*(b^2*c + a*c^2)*d^5*e^2 - (b^3 + 6*a*b*c)*d^4*e^3 + 3*(a*b^2 + a^2*c)*d^3*e^4)*sqrt(d*e)) + 1/2*((b*c^3*d^3*e - 2*(b^2*c^2 - 2*a*c^3)*d^2*e^2 + (b^3*c - 3*a*b*c^2)*d*e^3 + (a*b^2*c - 4*a^2*c^2)*e^4)*x^5 + (b*c^3*d^4 - (b^2*c^2 - 2*a*c^3)*d^3*e - (b^3*c - 3*a*b*c^2)*d^2*e^2 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d*e^3 + (a*b^3 - 4*a^2*b*c)*e^4)*x^3 + ((b^2*c^2 - 2*a*c^3)*d^4 - 2*(b^3*c - 3*a*b*c^2)*d^3*e + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^2*e^2 + (a^2*b^2 - 4*a^3*c)*e^4)*x)/((a^2*b^2*c^2 - 4*a^3*c^3)*d^6 - 2*(a^2*b^3*c - 4*a^3*b*c^2)*d^5*e + (a^2*b^4 - 2*a^3*b^2*c - 8*a^4*c^2)*d^4*e^2 - 2*(a^3*b^3 - 4*a^4*b*c)*d^3*e^3 + (a^4*b^2 - 4*a^5*c)*d^2*e^4 + ((a*b^2*c^3 - 4*a^2*c^4)*d^5*e - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d^4*e^2 + (a*b^4*c - 2*a^2*b^2*c^2 - 8*a^3*c^3)*d^3*e^3 - 2*(a^2*b^3*c - 4*a^3*b*c^2)*d^2*e^4 + (a^3*b^2*c - 4*a^4*c^2)*d*e^5)*x^6 + ((a*b^2*c^3 - 4*a^2*c^4)*d^6 - (a*b^3*c^2 - 4*a^2*b*c^3)*d^5*e - (a*b^4*c - 6*a^2*b^2*c^2 + 8*a^3*c^3)*d^4*e^2 + (a*b^5 - 4*a^2*b^3*c)*d^3*e^3 - (2*a^2*b^4 - 9*a^3*b^2*c + 4*a^4*c^2)*d^2*e^4 + (a^3*b^3 - 4*a^4*b*c)*d*e^5)*x^4 + ((a*b^3*c^2 - 4*a^2*b*c^3)*d^6 - (2*a*b^4*c - 9*a^2*b^2*c^2 + 4*a^3*c^3)*d^5*e + (a*b^5 - 4*a^2*b^3*c)*d^4*e^2 - (a^2*b^4 - 6*a^3*b^2*c + 8*a^4*c^2)*d^3*e^3 - (a^3*b^3 - 4*a^4*b*c)*d^2*e^4 + (a^4*b^2 - 4*a^5*c)*d*e^5)*x^2) - 1/2*integrate(-((b^2*c^3 - 6*a*c^4)*d^4 - (3*b^3*c^2 - 16*a*b*c^3)*d^3*e + 3*(b^4*c - 3*a*b^2*c^2 - 8*a^2*c^3)*d^2*e^2 - (b^5 + 6*a*b^3*c - 44*a^2*b*c^2)*d*e^3 + (5*a*b^4 - 24*a^2*b^2*c + 14*a^3*c^2)*e^4 + (b*c^4*d^4 - (3*b^2*c^3 - 4*a*c^4)*d^3*e + 3*(b^3*c^2 - 2*a*b*c^3)*d^2*e^2 - (b^4*c + 7*a*b^2*c^2 - 36*a^2*c^3)*d*e^3 + (5*a*b^3*c - 19*a^2*b*c^2)*e^4)*x^2)/(c*x^4 + b*x^2 + a), x)/((a*b^2*c^3 - 4*a^2*c^4)*d^6 - 3*(a*b^3*c^2 - 4*a^2*b*c^3)*d^5*e + 3*(a*b^4*c - 3*a^2*b^2*c^2 - 4*a^3*c^3)*d^4*e^2 - (a*b^5 + 2*a^2*b^3*c - 24*a^3*b*c^2)*d^3*e^3 + 3*(a^2*b^4 - 3*a^3*b^2*c - 4*a^4*c^2)*d^2*e^4 - 3*(a^3*b^3 - 4*a^4*b*c)*d*e^5 + (a^4*b^2 - 4*a^5*c)*e^6)","F",0
276,1,261,0,1.122881," ","integrate((e*x^2+d)^(5/2)*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{7}{2}} c x^{3}}{10 \, e} + \frac{1}{6} \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} a x + \frac{5}{24} \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} a d x + \frac{5}{16} \, \sqrt{e x^{2} + d} a d^{2} x - \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} c d x}{80 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} c d^{2} x}{160 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} c d^{3} x}{128 \, e^{2}} + \frac{3 \, \sqrt{e x^{2} + d} c d^{4} x}{256 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{7}{2}} b x}{8 \, e} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} b d x}{48 \, e} - \frac{5 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} b d^{2} x}{192 \, e} - \frac{5 \, \sqrt{e x^{2} + d} b d^{3} x}{128 \, e} + \frac{3 \, c d^{5} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{256 \, e^{\frac{5}{2}}} - \frac{5 \, b d^{4} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{128 \, e^{\frac{3}{2}}} + \frac{5 \, a d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, \sqrt{e}}"," ",0,"1/10*(e*x^2 + d)^(7/2)*c*x^3/e + 1/6*(e*x^2 + d)^(5/2)*a*x + 5/24*(e*x^2 + d)^(3/2)*a*d*x + 5/16*sqrt(e*x^2 + d)*a*d^2*x - 3/80*(e*x^2 + d)^(7/2)*c*d*x/e^2 + 1/160*(e*x^2 + d)^(5/2)*c*d^2*x/e^2 + 1/128*(e*x^2 + d)^(3/2)*c*d^3*x/e^2 + 3/256*sqrt(e*x^2 + d)*c*d^4*x/e^2 + 1/8*(e*x^2 + d)^(7/2)*b*x/e - 1/48*(e*x^2 + d)^(5/2)*b*d*x/e - 5/192*(e*x^2 + d)^(3/2)*b*d^2*x/e - 5/128*sqrt(e*x^2 + d)*b*d^3*x/e + 3/256*c*d^5*arcsinh(e*x/sqrt(d*e))/e^(5/2) - 5/128*b*d^4*arcsinh(e*x/sqrt(d*e))/e^(3/2) + 5/16*a*d^3*arcsinh(e*x/sqrt(d*e))/sqrt(e)","A",0
277,1,207,0,1.018496," ","integrate((e*x^2+d)^(3/2)*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} c x^{3}}{8 \, e} + \frac{1}{4} \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} a x + \frac{3}{8} \, \sqrt{e x^{2} + d} a d x - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} c d x}{16 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} c d^{2} x}{64 \, e^{2}} + \frac{3 \, \sqrt{e x^{2} + d} c d^{3} x}{128 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} b x}{6 \, e} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} b d x}{24 \, e} - \frac{\sqrt{e x^{2} + d} b d^{2} x}{16 \, e} + \frac{3 \, c d^{4} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{128 \, e^{\frac{5}{2}}} - \frac{b d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, e^{\frac{3}{2}}} + \frac{3 \, a d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{e}}"," ",0,"1/8*(e*x^2 + d)^(5/2)*c*x^3/e + 1/4*(e*x^2 + d)^(3/2)*a*x + 3/8*sqrt(e*x^2 + d)*a*d*x - 1/16*(e*x^2 + d)^(5/2)*c*d*x/e^2 + 1/64*(e*x^2 + d)^(3/2)*c*d^2*x/e^2 + 3/128*sqrt(e*x^2 + d)*c*d^3*x/e^2 + 1/6*(e*x^2 + d)^(5/2)*b*x/e - 1/24*(e*x^2 + d)^(3/2)*b*d*x/e - 1/16*sqrt(e*x^2 + d)*b*d^2*x/e + 3/128*c*d^4*arcsinh(e*x/sqrt(d*e))/e^(5/2) - 1/16*b*d^3*arcsinh(e*x/sqrt(d*e))/e^(3/2) + 3/8*a*d^2*arcsinh(e*x/sqrt(d*e))/sqrt(e)","A",0
278,1,153,0,0.983978," ","integrate((e*x^2+d)^(1/2)*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} c x^{3}}{6 \, e} + \frac{1}{2} \, \sqrt{e x^{2} + d} a x - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} c d x}{8 \, e^{2}} + \frac{\sqrt{e x^{2} + d} c d^{2} x}{16 \, e^{2}} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} b x}{4 \, e} - \frac{\sqrt{e x^{2} + d} b d x}{8 \, e} + \frac{c d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{16 \, e^{\frac{5}{2}}} - \frac{b d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, e^{\frac{3}{2}}} + \frac{a d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{e}}"," ",0,"1/6*(e*x^2 + d)^(3/2)*c*x^3/e + 1/2*sqrt(e*x^2 + d)*a*x - 1/8*(e*x^2 + d)^(3/2)*c*d*x/e^2 + 1/16*sqrt(e*x^2 + d)*c*d^2*x/e^2 + 1/4*(e*x^2 + d)^(3/2)*b*x/e - 1/8*sqrt(e*x^2 + d)*b*d*x/e + 1/16*c*d^3*arcsinh(e*x/sqrt(d*e))/e^(5/2) - 1/8*b*d^2*arcsinh(e*x/sqrt(d*e))/e^(3/2) + 1/2*a*d*arcsinh(e*x/sqrt(d*e))/sqrt(e)","A",0
279,1,100,0,1.066407," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{e x^{2} + d} c x^{3}}{4 \, e} - \frac{3 \, \sqrt{e x^{2} + d} c d x}{8 \, e^{2}} + \frac{\sqrt{e x^{2} + d} b x}{2 \, e} + \frac{3 \, c d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, e^{\frac{5}{2}}} - \frac{b d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, e^{\frac{3}{2}}} + \frac{a \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}"," ",0,"1/4*sqrt(e*x^2 + d)*c*x^3/e - 3/8*sqrt(e*x^2 + d)*c*d*x/e^2 + 1/2*sqrt(e*x^2 + d)*b*x/e + 3/8*c*d^2*arcsinh(e*x/sqrt(d*e))/e^(5/2) - 1/2*b*d*arcsinh(e*x/sqrt(d*e))/e^(3/2) + a*arcsinh(e*x/sqrt(d*e))/sqrt(e)","A",0
280,1,97,0,1.130482," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{c x^{3}}{2 \, \sqrt{e x^{2} + d} e} + \frac{a x}{\sqrt{e x^{2} + d} d} + \frac{3 \, c d x}{2 \, \sqrt{e x^{2} + d} e^{2}} - \frac{b x}{\sqrt{e x^{2} + d} e} - \frac{3 \, c d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, e^{\frac{5}{2}}} + \frac{b \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}"," ",0,"1/2*c*x^3/(sqrt(e*x^2 + d)*e) + a*x/(sqrt(e*x^2 + d)*d) + 3/2*c*d*x/(sqrt(e*x^2 + d)*e^2) - b*x/(sqrt(e*x^2 + d)*e) - 3/2*c*d*arcsinh(e*x/sqrt(d*e))/e^(5/2) + b*arcsinh(e*x/sqrt(d*e))/e^(3/2)","A",0
281,1,135,0,1.006674," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, c x {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)} + \frac{2 \, a x}{3 \, \sqrt{e x^{2} + d} d^{2}} + \frac{a x}{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d} - \frac{c x}{3 \, \sqrt{e x^{2} + d} e^{2}} - \frac{b x}{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{b x}{3 \, \sqrt{e x^{2} + d} d e} + \frac{c \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{5}{2}}}"," ",0,"-1/3*c*x*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2)) + 2/3*a*x/(sqrt(e*x^2 + d)*d^2) + 1/3*a*x/((e*x^2 + d)^(3/2)*d) - 1/3*c*x/(sqrt(e*x^2 + d)*e^2) - 1/3*b*x/((e*x^2 + d)^(3/2)*e) + 1/3*b*x/(sqrt(e*x^2 + d)*d*e) + c*arcsinh(e*x/sqrt(d*e))/e^(5/2)","A",0
282,1,173,0,1.155686," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(7/2),x, algorithm=""maxima"")","-\frac{c x^{3}}{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e} + \frac{8 \, a x}{15 \, \sqrt{e x^{2} + d} d^{3}} + \frac{4 \, a x}{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}} + \frac{a x}{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d} + \frac{c x}{10 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} + \frac{c x}{5 \, \sqrt{e x^{2} + d} d e^{2}} - \frac{3 \, c d x}{10 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e^{2}} - \frac{b x}{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e} + \frac{2 \, b x}{15 \, \sqrt{e x^{2} + d} d^{2} e} + \frac{b x}{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d e}"," ",0,"-1/2*c*x^3/((e*x^2 + d)^(5/2)*e) + 8/15*a*x/(sqrt(e*x^2 + d)*d^3) + 4/15*a*x/((e*x^2 + d)^(3/2)*d^2) + 1/5*a*x/((e*x^2 + d)^(5/2)*d) + 1/10*c*x/((e*x^2 + d)^(3/2)*e^2) + 1/5*c*x/(sqrt(e*x^2 + d)*d*e^2) - 3/10*c*d*x/((e*x^2 + d)^(5/2)*e^2) - 1/5*b*x/((e*x^2 + d)^(5/2)*e) + 2/15*b*x/(sqrt(e*x^2 + d)*d^2*e) + 1/15*b*x/((e*x^2 + d)^(3/2)*d*e)","B",0
283,1,227,0,1.199204," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(9/2),x, algorithm=""maxima"")","-\frac{c x^{3}}{4 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} e} + \frac{16 \, a x}{35 \, \sqrt{e x^{2} + d} d^{4}} + \frac{8 \, a x}{35 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3}} + \frac{6 \, a x}{35 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2}} + \frac{a x}{7 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d} + \frac{3 \, c x}{140 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e^{2}} + \frac{2 \, c x}{35 \, \sqrt{e x^{2} + d} d^{2} e^{2}} + \frac{c x}{35 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d e^{2}} - \frac{3 \, c d x}{28 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} e^{2}} - \frac{b x}{7 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} e} + \frac{8 \, b x}{105 \, \sqrt{e x^{2} + d} d^{3} e} + \frac{4 \, b x}{105 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} e} + \frac{b x}{35 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d e}"," ",0,"-1/4*c*x^3/((e*x^2 + d)^(7/2)*e) + 16/35*a*x/(sqrt(e*x^2 + d)*d^4) + 8/35*a*x/((e*x^2 + d)^(3/2)*d^3) + 6/35*a*x/((e*x^2 + d)^(5/2)*d^2) + 1/7*a*x/((e*x^2 + d)^(7/2)*d) + 3/140*c*x/((e*x^2 + d)^(5/2)*e^2) + 2/35*c*x/(sqrt(e*x^2 + d)*d^2*e^2) + 1/35*c*x/((e*x^2 + d)^(3/2)*d*e^2) - 3/28*c*d*x/((e*x^2 + d)^(7/2)*e^2) - 1/7*b*x/((e*x^2 + d)^(7/2)*e) + 8/105*b*x/(sqrt(e*x^2 + d)*d^3*e) + 4/105*b*x/((e*x^2 + d)^(3/2)*d^2*e) + 1/35*b*x/((e*x^2 + d)^(5/2)*d*e)","B",0
284,1,281,0,1.201747," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(11/2),x, algorithm=""maxima"")","-\frac{c x^{3}}{6 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} e} + \frac{128 \, a x}{315 \, \sqrt{e x^{2} + d} d^{5}} + \frac{64 \, a x}{315 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{4}} + \frac{16 \, a x}{105 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{3}} + \frac{8 \, a x}{63 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d^{2}} + \frac{a x}{9 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} d} + \frac{c x}{126 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} e^{2}} + \frac{8 \, c x}{315 \, \sqrt{e x^{2} + d} d^{3} e^{2}} + \frac{4 \, c x}{315 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} e^{2}} + \frac{c x}{105 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d e^{2}} - \frac{c d x}{18 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} e^{2}} - \frac{b x}{9 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} e} + \frac{16 \, b x}{315 \, \sqrt{e x^{2} + d} d^{4} e} + \frac{8 \, b x}{315 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3} e} + \frac{2 \, b x}{105 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2} e} + \frac{b x}{63 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d e}"," ",0,"-1/6*c*x^3/((e*x^2 + d)^(9/2)*e) + 128/315*a*x/(sqrt(e*x^2 + d)*d^5) + 64/315*a*x/((e*x^2 + d)^(3/2)*d^4) + 16/105*a*x/((e*x^2 + d)^(5/2)*d^3) + 8/63*a*x/((e*x^2 + d)^(7/2)*d^2) + 1/9*a*x/((e*x^2 + d)^(9/2)*d) + 1/126*c*x/((e*x^2 + d)^(7/2)*e^2) + 8/315*c*x/(sqrt(e*x^2 + d)*d^3*e^2) + 4/315*c*x/((e*x^2 + d)^(3/2)*d^2*e^2) + 1/105*c*x/((e*x^2 + d)^(5/2)*d*e^2) - 1/18*c*d*x/((e*x^2 + d)^(9/2)*e^2) - 1/9*b*x/((e*x^2 + d)^(9/2)*e) + 16/315*b*x/(sqrt(e*x^2 + d)*d^4*e) + 8/315*b*x/((e*x^2 + d)^(3/2)*d^3*e) + 2/105*b*x/((e*x^2 + d)^(5/2)*d^2*e) + 1/63*b*x/((e*x^2 + d)^(7/2)*d*e)","A",0
285,1,335,0,1.111158," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^(13/2),x, algorithm=""maxima"")","-\frac{c x^{3}}{8 \, {\left(e x^{2} + d\right)}^{\frac{11}{2}} e} + \frac{256 \, a x}{693 \, \sqrt{e x^{2} + d} d^{6}} + \frac{128 \, a x}{693 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{5}} + \frac{32 \, a x}{231 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{4}} + \frac{80 \, a x}{693 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d^{3}} + \frac{10 \, a x}{99 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} d^{2}} + \frac{a x}{11 \, {\left(e x^{2} + d\right)}^{\frac{11}{2}} d} + \frac{c x}{264 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} e^{2}} + \frac{16 \, c x}{1155 \, \sqrt{e x^{2} + d} d^{4} e^{2}} + \frac{8 \, c x}{1155 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3} e^{2}} + \frac{2 \, c x}{385 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2} e^{2}} + \frac{c x}{231 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d e^{2}} - \frac{3 \, c d x}{88 \, {\left(e x^{2} + d\right)}^{\frac{11}{2}} e^{2}} - \frac{b x}{11 \, {\left(e x^{2} + d\right)}^{\frac{11}{2}} e} + \frac{128 \, b x}{3465 \, \sqrt{e x^{2} + d} d^{5} e} + \frac{64 \, b x}{3465 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{4} e} + \frac{16 \, b x}{1155 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{3} e} + \frac{8 \, b x}{693 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d^{2} e} + \frac{b x}{99 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} d e}"," ",0,"-1/8*c*x^3/((e*x^2 + d)^(11/2)*e) + 256/693*a*x/(sqrt(e*x^2 + d)*d^6) + 128/693*a*x/((e*x^2 + d)^(3/2)*d^5) + 32/231*a*x/((e*x^2 + d)^(5/2)*d^4) + 80/693*a*x/((e*x^2 + d)^(7/2)*d^3) + 10/99*a*x/((e*x^2 + d)^(9/2)*d^2) + 1/11*a*x/((e*x^2 + d)^(11/2)*d) + 1/264*c*x/((e*x^2 + d)^(9/2)*e^2) + 16/1155*c*x/(sqrt(e*x^2 + d)*d^4*e^2) + 8/1155*c*x/((e*x^2 + d)^(3/2)*d^3*e^2) + 2/385*c*x/((e*x^2 + d)^(5/2)*d^2*e^2) + 1/231*c*x/((e*x^2 + d)^(7/2)*d*e^2) - 3/88*c*d*x/((e*x^2 + d)^(11/2)*e^2) - 1/11*b*x/((e*x^2 + d)^(11/2)*e) + 128/3465*b*x/(sqrt(e*x^2 + d)*d^5*e) + 64/3465*b*x/((e*x^2 + d)^(3/2)*d^4*e) + 16/1155*b*x/((e*x^2 + d)^(5/2)*d^3*e) + 8/693*b*x/((e*x^2 + d)^(7/2)*d^2*e) + 1/99*b*x/((e*x^2 + d)^(9/2)*d*e)","A",0
286,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)^3, x)","F",0
287,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)^2, x)","F",0
288,0,0,0,0.000000," ","integrate((5*x^2+7)*(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7), x)","F",0
289,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2), x)","F",0
290,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(1/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 2}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)/(5*x^2 + 7), x)","F",0
291,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(1/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 2}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)/(5*x^2 + 7)^2, x)","F",0
292,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(1/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 2}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 2)/(5*x^2 + 7)^3, x)","F",0
293,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7)^3, x)","F",0
294,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7)^2, x)","F",0
295,0,0,0,0.000000," ","integrate((5*x^2+7)*(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7), x)","F",0
296,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2), x)","F",0
297,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(3/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)/(5*x^2 + 7), x)","F",0
298,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(3/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)/(5*x^2 + 7)^2, x)","F",0
299,0,0,0,0.000000," ","integrate((x^4+3*x^2+2)^(3/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(3/2)/(5*x^2 + 7)^3, x)","F",0
300,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/sqrt(x^4 + 3*x^2 + 2), x)","F",0
301,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/sqrt(x^4 + 3*x^2 + 2), x)","F",0
302,0,0,0,0.000000," ","integrate((5*x^2+7)/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/sqrt(x^4 + 3*x^2 + 2), x)","F",0
303,0,0,0,0.000000," ","integrate(1/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate(1/sqrt(x^4 + 3*x^2 + 2), x)","F",0
304,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)), x)","F",0
305,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)^2), x)","F",0
306,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)^3), x)","F",0
307,0,0,0,0.000000," ","integrate((5*x^2+7)^5/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{5}}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^5/(x^4 + 3*x^2 + 2)^(3/2), x)","F",0
308,0,0,0,0.000000," ","integrate((5*x^2+7)^4/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{4}}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^4/(x^4 + 3*x^2 + 2)^(3/2), x)","F",0
309,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/(x^4 + 3*x^2 + 2)^(3/2), x)","F",0
310,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/(x^4 + 3*x^2 + 2)^(3/2), x)","F",0
311,0,0,0,0.000000," ","integrate((5*x^2+7)/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/(x^4 + 3*x^2 + 2)^(3/2), x)","F",0
312,0,0,0,0.000000," ","integrate(1/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 2)^(-3/2), x)","F",0
313,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7)), x)","F",0
314,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7)^2), x)","F",0
315,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(x^4+3*x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 2)^(3/2)*(5*x^2 + 7)^3), x)","F",0
316,0,0,0,0.000000," ","integrate((5*x^2+7)^4*(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{4}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)^4, x)","F",0
317,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)^3, x)","F",0
318,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)^2, x)","F",0
319,0,0,0,0.000000," ","integrate((5*x^2+7)*(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7), x)","F",0
320,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{2} + 2}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2), x)","F",0
321,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(1/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + x^{2} + 2}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)/(5*x^2 + 7), x)","F",0
322,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(1/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + x^{2} + 2}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)/(5*x^2 + 7)^2, x)","F",0
323,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(1/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + x^{2} + 2}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2)/(5*x^2 + 7)^3, x)","F",0
324,0,0,0,0.000000," ","integrate((5*x^2+7)^4*(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{4}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)^4, x)","F",0
325,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)^3, x)","F",0
326,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)^2, x)","F",0
327,0,0,0,0.000000," ","integrate((5*x^2+7)*(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7), x)","F",0
328,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2), x)","F",0
329,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(3/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)/(5*x^2 + 7), x)","F",0
330,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(3/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)/(5*x^2 + 7)^2, x)","F",0
331,0,0,0,0.000000," ","integrate((-x^4+x^2+2)^(3/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(3/2)/(5*x^2 + 7)^3, x)","F",0
332,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{\sqrt{-x^{4} + x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/sqrt(-x^4 + x^2 + 2), x)","F",0
333,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{\sqrt{-x^{4} + x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/sqrt(-x^4 + x^2 + 2), x)","F",0
334,0,0,0,0.000000," ","integrate((5*x^2+7)/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{\sqrt{-x^{4} + x^{2} + 2}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/sqrt(-x^4 + x^2 + 2), x)","F",0
335,0,0,0,0.000000," ","integrate(1/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + x^{2} + 2}}\,{d x}"," ",0,"integrate(1/sqrt(-x^4 + x^2 + 2), x)","F",0
336,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)), x)","F",0
337,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)^2), x)","F",0
338,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(-x^4+x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + x^{2} + 2} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + x^2 + 2)*(5*x^2 + 7)^3), x)","F",0
339,0,0,0,0.000000," ","integrate((5*x^2+7)^5/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{5}}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^5/(-x^4 + x^2 + 2)^(3/2), x)","F",0
340,0,0,0,0.000000," ","integrate((5*x^2+7)^4/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{4}}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^4/(-x^4 + x^2 + 2)^(3/2), x)","F",0
341,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/(-x^4 + x^2 + 2)^(3/2), x)","F",0
342,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/(-x^4 + x^2 + 2)^(3/2), x)","F",0
343,0,0,0,0.000000," ","integrate((5*x^2+7)/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/(-x^4 + x^2 + 2)^(3/2), x)","F",0
344,0,0,0,0.000000," ","integrate(1/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-x^4 + x^2 + 2)^(-3/2), x)","F",0
345,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)), x)","F",0
346,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)^2), x)","F",0
347,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(-x^4+x^2+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + x^{2} + 2\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/((-x^4 + x^2 + 2)^(3/2)*(5*x^2 + 7)^3), x)","F",0
348,0,0,0,0.000000," ","integrate((5*x^2+7)^4*(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}^{4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)^4, x)","F",0
349,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)^3, x)","F",0
350,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)^2, x)","F",0
351,0,0,0,0.000000," ","integrate((5*x^2+7)*(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7), x)","F",0
352,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 3 \, x^{2} + 4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4), x)","F",0
353,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(1/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 4}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)/(5*x^2 + 7), x)","F",0
354,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(1/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 4}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)/(5*x^2 + 7)^2, x)","F",0
355,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(1/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 4}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 4)/(5*x^2 + 7)^3, x)","F",0
356,0,0,0,0.000000," ","integrate((5*x^2+7)^4*(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{4}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)^4, x)","F",0
357,0,0,0,0.000000," ","integrate((5*x^2+7)^3*(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)^3, x)","F",0
358,0,0,0,0.000000," ","integrate((5*x^2+7)^2*(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)^2, x)","F",0
359,0,0,0,0.000000," ","integrate((5*x^2+7)*(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7), x)","F",0
360,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2), x)","F",0
361,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(3/2)/(5*x^2+7),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}{5 \, x^{2} + 7}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)/(5*x^2 + 7), x)","F",0
362,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(3/2)/(5*x^2+7)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)/(5*x^2 + 7)^2, x)","F",0
363,0,0,0,0.000000," ","integrate((x^4+3*x^2+4)^(3/2)/(5*x^2+7)^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(3/2)/(5*x^2 + 7)^3, x)","F",0
364,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{\sqrt{x^{4} + 3 \, x^{2} + 4}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/sqrt(x^4 + 3*x^2 + 4), x)","F",0
365,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{\sqrt{x^{4} + 3 \, x^{2} + 4}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/sqrt(x^4 + 3*x^2 + 4), x)","F",0
366,0,0,0,0.000000," ","integrate((5*x^2+7)/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{\sqrt{x^{4} + 3 \, x^{2} + 4}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/sqrt(x^4 + 3*x^2 + 4), x)","F",0
367,0,0,0,0.000000," ","integrate(1/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 4}}\,{d x}"," ",0,"integrate(1/sqrt(x^4 + 3*x^2 + 4), x)","F",0
368,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)), x)","F",0
369,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)^2), x)","F",0
370,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(x^4+3*x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 4} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 4)*(5*x^2 + 7)^3), x)","F",0
371,0,0,0,0.000000," ","integrate((5*x^2+7)^5/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{5}}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^5/(x^4 + 3*x^2 + 4)^(3/2), x)","F",0
372,0,0,0,0.000000," ","integrate((5*x^2+7)^4/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{4}}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^4/(x^4 + 3*x^2 + 4)^(3/2), x)","F",0
373,0,0,0,0.000000," ","integrate((5*x^2+7)^3/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{3}}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^3/(x^4 + 3*x^2 + 4)^(3/2), x)","F",0
374,0,0,0,0.000000," ","integrate((5*x^2+7)^2/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 7\right)}^{2}}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)^2/(x^4 + 3*x^2 + 4)^(3/2), x)","F",0
375,0,0,0,0.000000," ","integrate((5*x^2+7)/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{5 \, x^{2} + 7}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x^2 + 7)/(x^4 + 3*x^2 + 4)^(3/2), x)","F",0
376,0,0,0,0.000000," ","integrate(1/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^4 + 3*x^2 + 4)^(-3/2), x)","F",0
377,0,0,0,0.000000," ","integrate(1/(5*x^2+7)/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)), x)","F",0
378,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^2/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{2}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)^2), x)","F",0
379,0,0,0,0.000000," ","integrate(1/(5*x^2+7)^3/(x^4+3*x^2+4)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 3 \, x^{2} + 4\right)}^{\frac{3}{2}} {\left(5 \, x^{2} + 7\right)}^{3}}\,{d x}"," ",0,"integrate(1/((x^4 + 3*x^2 + 4)^(3/2)*(5*x^2 + 7)^3), x)","F",0
380,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{3}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3/sqrt(c*x^4 + b*x^2 + a), x)","F",0
381,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{2}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2/sqrt(c*x^4 + b*x^2 + a), x)","F",0
382,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
383,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
384,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)^2), x)","F",0
385,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(-c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{3}}{\sqrt{-c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3/sqrt(-c*x^4 + b*x^2 + a), x)","F",0
386,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(-c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{2}}{\sqrt{-c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2/sqrt(-c*x^4 + b*x^2 + a), x)","F",0
387,0,0,0,0.000000," ","integrate((e*x^2+d)/(-c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{-c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(-c*x^4 + b*x^2 + a), x)","F",0
388,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(-c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
389,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(-c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + b*x^2 + a)*(e*x^2 + d)^2), x)","F",0
390,0,0,0,0.000000," ","integrate((e*x^2+d)/(c*x^4+b*x^2-a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} + b x^{2} - a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(c*x^4 + b*x^2 - a), x)","F",0
391,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2-a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + b x^{2} - a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + b*x^2 - a)*(e*x^2 + d)), x)","F",0
392,0,0,0,0.000000," ","integrate((e*x^2+d)/(-c*x^4+b*x^2-a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{-c x^{4} + b x^{2} - a}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(-c*x^4 + b*x^2 - a), x)","F",0
393,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(-c*x^4+b*x^2-a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c x^{4} + b x^{2} - a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*x^4 + b*x^2 - a)*(e*x^2 + d)), x)","F",0
394,0,0,0,0.000000," ","integrate((e*x^2+d)^3/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{3}}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((e*x^2 + d)^3/sqrt(x^4 + 3*x^2 + 2), x)","F",0
395,0,0,0,0.000000," ","integrate((e*x^2+d)^2/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{2}}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((e*x^2 + d)^2/sqrt(x^4 + 3*x^2 + 2), x)","F",0
396,0,0,0,0.000000," ","integrate((e*x^2+d)/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{x^{4} + 3 \, x^{2} + 2}}\,{d x}"," ",0,"integrate((e*x^2 + d)/sqrt(x^4 + 3*x^2 + 2), x)","F",0
397,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 2)*(e*x^2 + d)), x)","F",0
398,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(x^4+3*x^2+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 3*x^2 + 2)*(e*x^2 + d)^2), x)","F",0
399,0,0,0,0.000000," ","integrate((e*x^2+c)^q*(b*x^4+c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{4} + c x^{2} + a\right)}^{p} {\left(e x^{2} + c\right)}^{q}\,{d x}"," ",0,"integrate((b*x^4 + c*x^2 + a)^p*(e*x^2 + c)^q, x)","F",0
400,0,0,0,0.000000," ","integrate((e*x^2+c)^3*(b*x^4+c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)}^{3} {\left(b x^{4} + c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)^3*(b*x^4 + c*x^2 + a)^p, x)","F",0
401,0,0,0,0.000000," ","integrate((e*x^2+c)^2*(b*x^4+c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)}^{2} {\left(b x^{4} + c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)^2*(b*x^4 + c*x^2 + a)^p, x)","F",0
402,0,0,0,0.000000," ","integrate((e*x^2+c)*(b*x^4+c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x^{2} + c\right)} {\left(b x^{4} + c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^2 + c)*(b*x^4 + c*x^2 + a)^p, x)","F",0
403,0,0,0,0.000000," ","integrate((b*x^4+c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{4} + c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*x^4 + c*x^2 + a)^p, x)","F",0
404,0,0,0,0.000000," ","integrate((b*x^4+c*x^2+a)^p/(e*x^2+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + c x^{2} + a\right)}^{p}}{e x^{2} + c}\,{d x}"," ",0,"integrate((b*x^4 + c*x^2 + a)^p/(e*x^2 + c), x)","F",0
405,0,0,0,0.000000," ","integrate((b*x^4+c*x^2+a)^p/(e*x^2+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + c x^{2} + a\right)}^{p}}{{\left(e x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^4 + c*x^2 + a)^p/(e*x^2 + c)^2, x)","F",0
406,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{c x^{4} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(c*x^4 + a)*(e*x + d)), x)","F",0
407,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(c*x^4-a)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{c x^{4} - a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(c*x^4 - a)*(e*x + d)), x)","F",0
408,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(1+x+3^(1/2))/(-4+x^4+4*3^(1/2)*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{x^{4} + 4 \, \sqrt{3} x^{2} - 4} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(x^4 + 4*sqrt(3)*x^2 - 4)*(x + sqrt(3) + 1)), x)","F",0
409,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(1+x-3^(1/2))/(-4+x^4-4*3^(1/2)*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{x^{4} - 4 \, \sqrt{3} x^{2} - 4} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(x^4 - 4*sqrt(3)*x^2 - 4)*(x - sqrt(3) + 1)), x)","F",0
410,0,0,0,0.000000," ","integrate((1+2*x-3^(1/2))/(1+2*x+3^(1/2))/(-1+4*x^4+4*3^(1/2)*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - \sqrt{3} + 1}{\sqrt{4 \, x^{4} + 4 \, \sqrt{3} x^{2} - 1} {\left(2 \, x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((2*x - sqrt(3) + 1)/(sqrt(4*x^4 + 4*sqrt(3)*x^2 - 1)*(2*x + sqrt(3) + 1)), x)","F",0
411,0,0,0,0.000000," ","integrate((1+2*x+3^(1/2))/(1+2*x-3^(1/2))/(-1+4*x^4-4*3^(1/2)*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x + \sqrt{3} + 1}{\sqrt{4 \, x^{4} - 4 \, \sqrt{3} x^{2} - 1} {\left(2 \, x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((2*x + sqrt(3) + 1)/(sqrt(4*x^4 - 4*sqrt(3)*x^2 - 1)*(2*x - sqrt(3) + 1)), x)","F",0
412,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(c*x^4 + b*x^2 + a)*(e*x + d)), x)","F",0
413,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(c*x^4+b*x^2-a)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{c x^{4} + b x^{2} - a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(c*x^4 + b*x^2 - a)*(e*x + d)), x)","F",0
