1,1,621,0,0.475372," ","integrate((b*x+a)^3*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(d x + c\right)}^{\frac{13}{2}} D b^{3} - 4095 \, {\left(6 \, D b^{3} c - {\left(3 \, D a b^{2} + C b^{3}\right)} d\right)} {\left(d x + c\right)}^{\frac{11}{2}} + 5005 \, {\left(15 \, D b^{3} c^{2} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{9}{2}} - 6435 \, {\left(20 \, D b^{3} c^{3} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{2} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 9009 \, {\left(15 \, D b^{3} c^{4} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{3} d + 6 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{2} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} d^{4}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 15015 \, {\left(6 \, D b^{3} c^{5} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{4} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{3} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{2} d^{3} + 2 \, {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{5}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 45045 \, {\left(D b^{3} c^{6} + A a^{3} d^{6} - {\left(3 \, D a b^{2} + C b^{3}\right)} c^{5} d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{4} d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{3} d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c^{2} d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{5}\right)} \sqrt{d x + c}\right)}}{45045 \, d^{7}}"," ",0,"2/45045*(3465*(d*x + c)^(13/2)*D*b^3 - 4095*(6*D*b^3*c - (3*D*a*b^2 + C*b^3)*d)*(d*x + c)^(11/2) + 5005*(15*D*b^3*c^2 - 5*(3*D*a*b^2 + C*b^3)*c*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*d^2)*(d*x + c)^(9/2) - 6435*(20*D*b^3*c^3 - 10*(3*D*a*b^2 + C*b^3)*c^2*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*d^3)*(d*x + c)^(7/2) + 9009*(15*D*b^3*c^4 - 10*(3*D*a*b^2 + C*b^3)*c^3*d + 6*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^2*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*d^4)*(d*x + c)^(5/2) - 15015*(6*D*b^3*c^5 - 5*(3*D*a*b^2 + C*b^3)*c^4*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^3*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^2*d^3 + 2*(C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c*d^4 - (B*a^3 + 3*A*a^2*b)*d^5)*(d*x + c)^(3/2) + 45045*(D*b^3*c^6 + A*a^3*d^6 - (3*D*a*b^2 + C*b^3)*c^5*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^4*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^3*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c^2*d^4 - (B*a^3 + 3*A*a^2*b)*c*d^5)*sqrt(d*x + c))/d^7","A",0
2,1,387,0,0.473340," ","integrate((b*x+a)^2*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(d x + c\right)}^{\frac{11}{2}} D b^{2} - 385 \, {\left(5 \, D b^{2} c - {\left(2 \, D a b + C b^{2}\right)} d\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 495 \, {\left(10 \, D b^{2} c^{2} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 693 \, {\left(10 \, D b^{2} c^{3} - 6 \, {\left(2 \, D a b + C b^{2}\right)} c^{2} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, D b^{2} c^{4} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c^{3} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{2} d^{2} - 2 \, {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c d^{3} + {\left(B a^{2} + 2 \, A a b\right)} d^{4}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 3465 \, {\left(D b^{2} c^{5} - A a^{2} d^{5} - {\left(2 \, D a b + C b^{2}\right)} c^{4} d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{3} d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c^{2} d^{3} + {\left(B a^{2} + 2 \, A a b\right)} c d^{4}\right)} \sqrt{d x + c}\right)}}{3465 \, d^{6}}"," ",0,"2/3465*(315*(d*x + c)^(11/2)*D*b^2 - 385*(5*D*b^2*c - (2*D*a*b + C*b^2)*d)*(d*x + c)^(9/2) + 495*(10*D*b^2*c^2 - 4*(2*D*a*b + C*b^2)*c*d + (D*a^2 + 2*C*a*b + B*b^2)*d^2)*(d*x + c)^(7/2) - 693*(10*D*b^2*c^3 - 6*(2*D*a*b + C*b^2)*c^2*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*d^3)*(d*x + c)^(5/2) + 1155*(5*D*b^2*c^4 - 4*(2*D*a*b + C*b^2)*c^3*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c^2*d^2 - 2*(C*a^2 + 2*B*a*b + A*b^2)*c*d^3 + (B*a^2 + 2*A*a*b)*d^4)*(d*x + c)^(3/2) - 3465*(D*b^2*c^5 - A*a^2*d^5 - (2*D*a*b + C*b^2)*c^4*d + (D*a^2 + 2*C*a*b + B*b^2)*c^3*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*c^2*d^3 + (B*a^2 + 2*A*a*b)*c*d^4)*sqrt(d*x + c))/d^6","A",0
3,1,198,0,0.440729," ","integrate((b*x+a)*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} D b - 45 \, {\left(4 \, D b c - {\left(D a + C b\right)} d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 63 \, {\left(6 \, D b c^{2} - 3 \, {\left(D a + C b\right)} c d + {\left(C a + B b\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 105 \, {\left(4 \, D b c^{3} - 3 \, {\left(D a + C b\right)} c^{2} d + 2 \, {\left(C a + B b\right)} c d^{2} - {\left(B a + A b\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 315 \, {\left(D b c^{4} + A a d^{4} - {\left(D a + C b\right)} c^{3} d + {\left(C a + B b\right)} c^{2} d^{2} - {\left(B a + A b\right)} c d^{3}\right)} \sqrt{d x + c}\right)}}{315 \, d^{5}}"," ",0,"2/315*(35*(d*x + c)^(9/2)*D*b - 45*(4*D*b*c - (D*a + C*b)*d)*(d*x + c)^(7/2) + 63*(6*D*b*c^2 - 3*(D*a + C*b)*c*d + (C*a + B*b)*d^2)*(d*x + c)^(5/2) - 105*(4*D*b*c^3 - 3*(D*a + C*b)*c^2*d + 2*(C*a + B*b)*c*d^2 - (B*a + A*b)*d^3)*(d*x + c)^(3/2) + 315*(D*b*c^4 + A*a*d^4 - (D*a + C*b)*c^3*d + (C*a + B*b)*c^2*d^2 - (B*a + A*b)*c*d^3)*sqrt(d*x + c))/d^5","A",0
4,1,128,0,0.437072," ","integrate((D*x^3+C*x^2+B*x+A)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, \sqrt{d x + c} A + \frac{35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} B}{d} + \frac{7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} C}{d^{2}} + \frac{3 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} D}{d^{3}}\right)}}{105 \, d}"," ",0,"2/105*(105*sqrt(d*x + c)*A + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*B/d + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*C/d^2 + 3*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*D/d^3)/d","A",0
5,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
6,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
7,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
8,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^4/(d*x+c)^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
9,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^5/(d*x+c)^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
10,1,629,0,0.471800," ","integrate((b*x+a)^3*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{315 \, {\left(d x + c\right)}^{\frac{11}{2}} D b^{3} - 385 \, {\left(6 \, D b^{3} c - {\left(3 \, D a b^{2} + C b^{3}\right)} d\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 495 \, {\left(15 \, D b^{3} c^{2} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 693 \, {\left(20 \, D b^{3} c^{3} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{2} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 1155 \, {\left(15 \, D b^{3} c^{4} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{3} d + 6 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{2} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} d^{4}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 3465 \, {\left(6 \, D b^{3} c^{5} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{4} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{3} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{2} d^{3} + 2 \, {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{5}\right)} \sqrt{d x + c}}{d^{6}} - \frac{3465 \, {\left(D b^{3} c^{6} + A a^{3} d^{6} - {\left(3 \, D a b^{2} + C b^{3}\right)} c^{5} d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{4} d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{3} d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c^{2} d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{5}\right)}}{\sqrt{d x + c} d^{6}}\right)}}{3465 \, d}"," ",0,"2/3465*((315*(d*x + c)^(11/2)*D*b^3 - 385*(6*D*b^3*c - (3*D*a*b^2 + C*b^3)*d)*(d*x + c)^(9/2) + 495*(15*D*b^3*c^2 - 5*(3*D*a*b^2 + C*b^3)*c*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*d^2)*(d*x + c)^(7/2) - 693*(20*D*b^3*c^3 - 10*(3*D*a*b^2 + C*b^3)*c^2*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*d^3)*(d*x + c)^(5/2) + 1155*(15*D*b^3*c^4 - 10*(3*D*a*b^2 + C*b^3)*c^3*d + 6*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^2*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*d^4)*(d*x + c)^(3/2) - 3465*(6*D*b^3*c^5 - 5*(3*D*a*b^2 + C*b^3)*c^4*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^3*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^2*d^3 + 2*(C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c*d^4 - (B*a^3 + 3*A*a^2*b)*d^5)*sqrt(d*x + c))/d^6 - 3465*(D*b^3*c^6 + A*a^3*d^6 - (3*D*a*b^2 + C*b^3)*c^5*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^4*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^3*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c^2*d^4 - (B*a^3 + 3*A*a^2*b)*c*d^5)/(sqrt(d*x + c)*d^6))/d","A",0
11,1,395,0,0.464716," ","integrate((b*x+a)^2*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(d x + c\right)}^{\frac{9}{2}} D b^{2} - 45 \, {\left(5 \, D b^{2} c - {\left(2 \, D a b + C b^{2}\right)} d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 63 \, {\left(10 \, D b^{2} c^{2} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 105 \, {\left(10 \, D b^{2} c^{3} - 6 \, {\left(2 \, D a b + C b^{2}\right)} c^{2} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, D b^{2} c^{4} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c^{3} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{2} d^{2} - 2 \, {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c d^{3} + {\left(B a^{2} + 2 \, A a b\right)} d^{4}\right)} \sqrt{d x + c}}{d^{5}} + \frac{315 \, {\left(D b^{2} c^{5} - A a^{2} d^{5} - {\left(2 \, D a b + C b^{2}\right)} c^{4} d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{3} d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c^{2} d^{3} + {\left(B a^{2} + 2 \, A a b\right)} c d^{4}\right)}}{\sqrt{d x + c} d^{5}}\right)}}{315 \, d}"," ",0,"2/315*((35*(d*x + c)^(9/2)*D*b^2 - 45*(5*D*b^2*c - (2*D*a*b + C*b^2)*d)*(d*x + c)^(7/2) + 63*(10*D*b^2*c^2 - 4*(2*D*a*b + C*b^2)*c*d + (D*a^2 + 2*C*a*b + B*b^2)*d^2)*(d*x + c)^(5/2) - 105*(10*D*b^2*c^3 - 6*(2*D*a*b + C*b^2)*c^2*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*d^3)*(d*x + c)^(3/2) + 315*(5*D*b^2*c^4 - 4*(2*D*a*b + C*b^2)*c^3*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c^2*d^2 - 2*(C*a^2 + 2*B*a*b + A*b^2)*c*d^3 + (B*a^2 + 2*A*a*b)*d^4)*sqrt(d*x + c))/d^5 + 315*(D*b^2*c^5 - A*a^2*d^5 - (2*D*a*b + C*b^2)*c^4*d + (D*a^2 + 2*C*a*b + B*b^2)*c^3*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*c^2*d^3 + (B*a^2 + 2*A*a*b)*c*d^4)/(sqrt(d*x + c)*d^5))/d","A",0
12,1,206,0,0.457714," ","integrate((b*x+a)*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(d x + c\right)}^{\frac{7}{2}} D b - 21 \, {\left(4 \, D b c - {\left(D a + C b\right)} d\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 35 \, {\left(6 \, D b c^{2} - 3 \, {\left(D a + C b\right)} c d + {\left(C a + B b\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 105 \, {\left(4 \, D b c^{3} - 3 \, {\left(D a + C b\right)} c^{2} d + 2 \, {\left(C a + B b\right)} c d^{2} - {\left(B a + A b\right)} d^{3}\right)} \sqrt{d x + c}}{d^{4}} - \frac{105 \, {\left(D b c^{4} + A a d^{4} - {\left(D a + C b\right)} c^{3} d + {\left(C a + B b\right)} c^{2} d^{2} - {\left(B a + A b\right)} c d^{3}\right)}}{\sqrt{d x + c} d^{4}}\right)}}{105 \, d}"," ",0,"2/105*((15*(d*x + c)^(7/2)*D*b - 21*(4*D*b*c - (D*a + C*b)*d)*(d*x + c)^(5/2) + 35*(6*D*b*c^2 - 3*(D*a + C*b)*c*d + (C*a + B*b)*d^2)*(d*x + c)^(3/2) - 105*(4*D*b*c^3 - 3*(D*a + C*b)*c^2*d + 2*(C*a + B*b)*c*d^2 - (B*a + A*b)*d^3)*sqrt(d*x + c))/d^4 - 105*(D*b*c^4 + A*a*d^4 - (D*a + C*b)*c^3*d + (C*a + B*b)*c^2*d^2 - (B*a + A*b)*c*d^3)/(sqrt(d*x + c)*d^4))/d","A",0
13,1,102,0,0.434114," ","integrate((D*x^3+C*x^2+B*x+A)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(d x + c\right)}^{\frac{5}{2}} D - 5 \, {\left(3 \, D c - C d\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, D c^{2} - 2 \, C c d + B d^{2}\right)} \sqrt{d x + c}}{d^{3}} + \frac{15 \, {\left(D c^{3} - C c^{2} d + B c d^{2} - A d^{3}\right)}}{\sqrt{d x + c} d^{3}}\right)}}{15 \, d}"," ",0,"2/15*((3*(d*x + c)^(5/2)*D - 5*(3*D*c - C*d)*(d*x + c)^(3/2) + 15*(3*D*c^2 - 2*C*c*d + B*d^2)*sqrt(d*x + c))/d^3 + 15*(D*c^3 - C*c^2*d + B*c*d^2 - A*d^3)/(sqrt(d*x + c)*d^3))/d","A",0
14,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(3/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
15,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(3/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
16,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(3/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
17,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^4/(d*x+c)^(3/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
18,1,627,0,0.476442," ","integrate((b*x+a)^3*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(d x + c\right)}^{\frac{9}{2}} D b^{3} - 45 \, {\left(6 \, D b^{3} c - {\left(3 \, D a b^{2} + C b^{3}\right)} d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 63 \, {\left(15 \, D b^{3} c^{2} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 105 \, {\left(20 \, D b^{3} c^{3} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{2} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 315 \, {\left(15 \, D b^{3} c^{4} - 10 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{3} d + 6 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{2} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} d^{4}\right)} \sqrt{d x + c}}{d^{6}} - \frac{105 \, {\left(D b^{3} c^{6} + A a^{3} d^{6} - {\left(3 \, D a b^{2} + C b^{3}\right)} c^{5} d + {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{4} d^{2} - {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{3} d^{3} + {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c^{2} d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{5} - 3 \, {\left(6 \, D b^{3} c^{5} - 5 \, {\left(3 \, D a b^{2} + C b^{3}\right)} c^{4} d + 4 \, {\left(3 \, D a^{2} b + 3 \, C a b^{2} + B b^{3}\right)} c^{3} d^{2} - 3 \, {\left(D a^{3} + 3 \, C a^{2} b + 3 \, B a b^{2} + A b^{3}\right)} c^{2} d^{3} + 2 \, {\left(C a^{3} + 3 \, B a^{2} b + 3 \, A a b^{2}\right)} c d^{4} - {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{5}\right)} {\left(d x + c\right)}\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{6}}\right)}}{315 \, d}"," ",0,"2/315*((35*(d*x + c)^(9/2)*D*b^3 - 45*(6*D*b^3*c - (3*D*a*b^2 + C*b^3)*d)*(d*x + c)^(7/2) + 63*(15*D*b^3*c^2 - 5*(3*D*a*b^2 + C*b^3)*c*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*d^2)*(d*x + c)^(5/2) - 105*(20*D*b^3*c^3 - 10*(3*D*a*b^2 + C*b^3)*c^2*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*d^3)*(d*x + c)^(3/2) + 315*(15*D*b^3*c^4 - 10*(3*D*a*b^2 + C*b^3)*c^3*d + 6*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^2*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*d^4)*sqrt(d*x + c))/d^6 - 105*(D*b^3*c^6 + A*a^3*d^6 - (3*D*a*b^2 + C*b^3)*c^5*d + (3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^4*d^2 - (D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^3*d^3 + (C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c^2*d^4 - (B*a^3 + 3*A*a^2*b)*c*d^5 - 3*(6*D*b^3*c^5 - 5*(3*D*a*b^2 + C*b^3)*c^4*d + 4*(3*D*a^2*b + 3*C*a*b^2 + B*b^3)*c^3*d^2 - 3*(D*a^3 + 3*C*a^2*b + 3*B*a*b^2 + A*b^3)*c^2*d^3 + 2*(C*a^3 + 3*B*a^2*b + 3*A*a*b^2)*c*d^4 - (B*a^3 + 3*A*a^2*b)*d^5)*(d*x + c))/((d*x + c)^(3/2)*d^6))/d","A",0
19,1,393,0,0.473797," ","integrate((b*x+a)^2*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(d x + c\right)}^{\frac{7}{2}} D b^{2} - 21 \, {\left(5 \, D b^{2} c - {\left(2 \, D a b + C b^{2}\right)} d\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 35 \, {\left(10 \, D b^{2} c^{2} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 105 \, {\left(10 \, D b^{2} c^{3} - 6 \, {\left(2 \, D a b + C b^{2}\right)} c^{2} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} d^{3}\right)} \sqrt{d x + c}}{d^{5}} + \frac{35 \, {\left(D b^{2} c^{5} - A a^{2} d^{5} - {\left(2 \, D a b + C b^{2}\right)} c^{4} d + {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{3} d^{2} - {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c^{2} d^{3} + {\left(B a^{2} + 2 \, A a b\right)} c d^{4} - 3 \, {\left(5 \, D b^{2} c^{4} - 4 \, {\left(2 \, D a b + C b^{2}\right)} c^{3} d + 3 \, {\left(D a^{2} + 2 \, C a b + B b^{2}\right)} c^{2} d^{2} - 2 \, {\left(C a^{2} + 2 \, B a b + A b^{2}\right)} c d^{3} + {\left(B a^{2} + 2 \, A a b\right)} d^{4}\right)} {\left(d x + c\right)}\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{5}}\right)}}{105 \, d}"," ",0,"2/105*((15*(d*x + c)^(7/2)*D*b^2 - 21*(5*D*b^2*c - (2*D*a*b + C*b^2)*d)*(d*x + c)^(5/2) + 35*(10*D*b^2*c^2 - 4*(2*D*a*b + C*b^2)*c*d + (D*a^2 + 2*C*a*b + B*b^2)*d^2)*(d*x + c)^(3/2) - 105*(10*D*b^2*c^3 - 6*(2*D*a*b + C*b^2)*c^2*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*d^3)*sqrt(d*x + c))/d^5 + 35*(D*b^2*c^5 - A*a^2*d^5 - (2*D*a*b + C*b^2)*c^4*d + (D*a^2 + 2*C*a*b + B*b^2)*c^3*d^2 - (C*a^2 + 2*B*a*b + A*b^2)*c^2*d^3 + (B*a^2 + 2*A*a*b)*c*d^4 - 3*(5*D*b^2*c^4 - 4*(2*D*a*b + C*b^2)*c^3*d + 3*(D*a^2 + 2*C*a*b + B*b^2)*c^2*d^2 - 2*(C*a^2 + 2*B*a*b + A*b^2)*c*d^3 + (B*a^2 + 2*A*a*b)*d^4)*(d*x + c))/((d*x + c)^(3/2)*d^5))/d","A",0
20,1,204,0,0.455623," ","integrate((b*x+a)*(D*x^3+C*x^2+B*x+A)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(d x + c\right)}^{\frac{5}{2}} D b - 5 \, {\left(4 \, D b c - {\left(D a + C b\right)} d\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 15 \, {\left(6 \, D b c^{2} - 3 \, {\left(D a + C b\right)} c d + {\left(C a + B b\right)} d^{2}\right)} \sqrt{d x + c}}{d^{4}} - \frac{5 \, {\left(D b c^{4} + A a d^{4} - {\left(D a + C b\right)} c^{3} d + {\left(C a + B b\right)} c^{2} d^{2} - {\left(B a + A b\right)} c d^{3} - 3 \, {\left(4 \, D b c^{3} - 3 \, {\left(D a + C b\right)} c^{2} d + 2 \, {\left(C a + B b\right)} c d^{2} - {\left(B a + A b\right)} d^{3}\right)} {\left(d x + c\right)}\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{4}}\right)}}{15 \, d}"," ",0,"2/15*((3*(d*x + c)^(5/2)*D*b - 5*(4*D*b*c - (D*a + C*b)*d)*(d*x + c)^(3/2) + 15*(6*D*b*c^2 - 3*(D*a + C*b)*c*d + (C*a + B*b)*d^2)*sqrt(d*x + c))/d^4 - 5*(D*b*c^4 + A*a*d^4 - (D*a + C*b)*c^3*d + (C*a + B*b)*c^2*d^2 - (B*a + A*b)*c*d^3 - 3*(4*D*b*c^3 - 3*(D*a + C*b)*c^2*d + 2*(C*a + B*b)*c*d^2 - (B*a + A*b)*d^3)*(d*x + c))/((d*x + c)^(3/2)*d^4))/d","A",0
21,1,98,0,0.438531," ","integrate((D*x^3+C*x^2+B*x+A)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(d x + c\right)}^{\frac{3}{2}} D - 3 \, {\left(3 \, D c - C d\right)} \sqrt{d x + c}}{d^{3}} + \frac{D c^{3} - C c^{2} d + B c d^{2} - A d^{3} - 3 \, {\left(3 \, D c^{2} - 2 \, C c d + B d^{2}\right)} {\left(d x + c\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{3}}\right)}}{3 \, d}"," ",0,"2/3*(((d*x + c)^(3/2)*D - 3*(3*D*c - C*d)*sqrt(d*x + c))/d^3 + (D*c^3 - C*c^2*d + B*c*d^2 - A*d^3 - 3*(3*D*c^2 - 2*C*c*d + B*d^2)*(d*x + c))/((d*x + c)^(3/2)*d^3))/d","A",0
22,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(5/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
23,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(5/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
24,-2,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(5/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
25,1,1802,0,0.764078," ","integrate((b*x+a)^3*(d*x+c)^n*(D*x^3+C*x^2+B*x+A),x, algorithm=""maxima"")","\frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} B a^{3}}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{3 \, {\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} A a^{2} b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} A a^{3}}{d {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} C a^{3}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} B a^{2} b}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} A a b^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} D a^{3}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{3 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} C a^{2} b}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{3 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} B a b^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} A b^{3}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{3 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} D a^{2} b}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}} + \frac{3 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} C a b^{2}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} B b^{3}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}} + \frac{3 \, {\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} c d^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c^{2} d^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{3} d^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} c^{4} d^{2} x^{2} + 120 \, c^{5} d n x - 120 \, c^{6}\right)} {\left(d x + c\right)}^{n} D a b^{2}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} d^{6}} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} c d^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c^{2} d^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{3} d^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} c^{4} d^{2} x^{2} + 120 \, c^{5} d n x - 120 \, c^{6}\right)} {\left(d x + c\right)}^{n} C b^{3}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} d^{6}} + \frac{{\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} d^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} c d^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} c^{2} d^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c^{3} d^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{4} d^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} c^{5} d^{2} x^{2} - 720 \, c^{6} d n x + 720 \, c^{7}\right)} {\left(d x + c\right)}^{n} D b^{3}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} d^{7}}"," ",0,"(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*B*a^3/((n^2 + 3*n + 2)*d^2) + 3*(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*A*a^2*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*A*a^3/(d*(n + 1)) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*C*a^3/((n^3 + 6*n^2 + 11*n + 6)*d^3) + 3*((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*B*a^2*b/((n^3 + 6*n^2 + 11*n + 6)*d^3) + 3*((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*A*a*b^2/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*D*a^3/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + 3*((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*C*a^2*b/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + 3*((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*B*a*b^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*A*b^3/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + 3*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*D*a^2*b/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5) + 3*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*C*a*b^2/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*B*b^3/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5) + 3*((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*c*d^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*c^2*d^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*c^3*d^3*x^3 - 60*(n^2 + n)*c^4*d^2*x^2 + 120*c^5*d*n*x - 120*c^6)*(d*x + c)^n*D*a*b^2/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*d^6) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*c*d^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*c^2*d^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*c^3*d^3*x^3 - 60*(n^2 + n)*c^4*d^2*x^2 + 120*c^5*d*n*x - 120*c^6)*(d*x + c)^n*C*b^3/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*d^6) + ((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*d^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*c*d^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*c^2*d^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*c^3*d^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*c^4*d^3*x^3 + 360*(n^2 + n)*c^5*d^2*x^2 - 720*c^6*d*n*x + 720*c^7)*(d*x + c)^n*D*b^3/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*d^7)","B",0
26,1,1118,0,0.639634," ","integrate((b*x+a)^2*(d*x+c)^n*(D*x^3+C*x^2+B*x+A),x, algorithm=""maxima"")","\frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} B a^{2}}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{2 \, {\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} A a b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} A a^{2}}{d {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} C a^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{2 \, {\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} B a b}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} A b^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} D a^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{2 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} C a b}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} B b^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{2 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} D a b}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} C b^{2}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} c d^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c^{2} d^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{3} d^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} c^{4} d^{2} x^{2} + 120 \, c^{5} d n x - 120 \, c^{6}\right)} {\left(d x + c\right)}^{n} D b^{2}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} d^{6}}"," ",0,"(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*B*a^2/((n^2 + 3*n + 2)*d^2) + 2*(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*A*a*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*A*a^2/(d*(n + 1)) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*C*a^2/((n^3 + 6*n^2 + 11*n + 6)*d^3) + 2*((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*B*a*b/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*A*b^2/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*D*a^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + 2*((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*C*a*b/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*B*b^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + 2*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*D*a*b/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*C*b^2/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*c*d^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*c^2*d^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*c^3*d^3*x^3 - 60*(n^2 + n)*c^4*d^2*x^2 + 120*c^5*d*n*x - 120*c^6)*(d*x + c)^n*D*b^2/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*d^6)","B",0
27,1,596,0,0.558533," ","integrate((b*x+a)*(d*x+c)^n*(D*x^3+C*x^2+B*x+A),x, algorithm=""maxima"")","\frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} B a}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} A b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} A a}{d {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} C a}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} B b}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} D a}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} C b}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} c d^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c^{2} d^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} c^{3} d^{2} x^{2} - 24 \, c^{4} d n x + 24 \, c^{5}\right)} {\left(d x + c\right)}^{n} D b}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} d^{5}}"," ",0,"(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*B*a/((n^2 + 3*n + 2)*d^2) + (d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*A*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*A*a/(d*(n + 1)) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*C*a/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*B*b/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*D*a/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*C*b/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*c*d^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*c^2*d^3*x^3 + 12*(n^2 + n)*c^3*d^2*x^2 - 24*c^4*d*n*x + 24*c^5)*(d*x + c)^n*D*b/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*d^5)","B",0
28,1,234,0,0.485085," ","integrate((d*x+c)^n*(D*x^3+C*x^2+B*x+A),x, algorithm=""maxima"")","\frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} B}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} A}{d {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} C}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} D}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}}"," ",0,"(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*B/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*A/(d*(n + 1)) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*C/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*D/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4)","A",0
29,0,0,0,0.000000," ","integrate((d*x+c)^n*(D*x^3+C*x^2+B*x+A)/(b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(D x^{3} + C x^{2} + B x + A\right)} {\left(d x + c\right)}^{n}}{b x + a}\,{d x}"," ",0,"integrate((D*x^3 + C*x^2 + B*x + A)*(d*x + c)^n/(b*x + a), x)","F",0
30,0,0,0,0.000000," ","integrate((d*x+c)^n*(D*x^3+C*x^2+B*x+A)/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(D x^{3} + C x^{2} + B x + A\right)} {\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((D*x^3 + C*x^2 + B*x + A)*(d*x + c)^n/(b*x + a)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x+c)^n*(D*x^3+C*x^2+B*x+A)/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(D x^{3} + C x^{2} + B x + A\right)} {\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((D*x^3 + C*x^2 + B*x + A)*(d*x + c)^n/(b*x + a)^3, x)","F",0
32,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n, x)","F",0
33,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(C*x^2+B*x+A),x, algorithm=""maxima"")","\int {\left(C x^{2} + B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((C*x^2 + B*x + A)*(b*x + a)^m*(d*x + c)^n, x)","F",0
34,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(D*x^3+C*x^2+B*x+A),x, algorithm=""maxima"")","\int {\left(D x^{3} + C x^{2} + B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((D*x^3 + C*x^2 + B*x + A)*(b*x + a)^m*(d*x + c)^n, x)","F",0
