1,1,115,112,2.383042,"\text{Not used}","int((e + f*x)*(g + h*x)*(a + b*x)*(c + d*x),x)","\frac{b\,d\,f\,h\,x^5}{5}+\left(\frac{a\,d\,f\,h}{4}+\frac{b\,c\,f\,h}{4}+\frac{b\,d\,e\,h}{4}+\frac{b\,d\,f\,g}{4}\right)\,x^4+\left(\frac{a\,c\,f\,h}{3}+\frac{a\,d\,e\,h}{3}+\frac{a\,d\,f\,g}{3}+\frac{b\,c\,e\,h}{3}+\frac{b\,c\,f\,g}{3}+\frac{b\,d\,e\,g}{3}\right)\,x^3+\left(\frac{a\,c\,e\,h}{2}+\frac{a\,c\,f\,g}{2}+\frac{a\,d\,e\,g}{2}+\frac{b\,c\,e\,g}{2}\right)\,x^2+a\,c\,e\,g\,x","Not used",1,"x^3*((a*c*f*h)/3 + (a*d*e*h)/3 + (a*d*f*g)/3 + (b*c*e*h)/3 + (b*c*f*g)/3 + (b*d*e*g)/3) + x^2*((a*c*e*h)/2 + (a*c*f*g)/2 + (a*d*e*g)/2 + (b*c*e*g)/2) + x^4*((a*d*f*h)/4 + (b*c*f*h)/4 + (b*d*e*h)/4 + (b*d*f*g)/4) + a*c*e*g*x + (b*d*f*h*x^5)/5","B"
2,1,174,126,2.536788,"\text{Not used}","int(((e + f*x)*(a + b*x)*(c + d*x))/(g + h*x),x)","x\,\left(\frac{a\,c\,f+a\,d\,e+b\,c\,e}{h}-\frac{g\,\left(\frac{a\,d\,f+b\,c\,f+b\,d\,e}{h}-\frac{b\,d\,f\,g}{h^2}\right)}{h}\right)+x^2\,\left(\frac{a\,d\,f+b\,c\,f+b\,d\,e}{2\,h}-\frac{b\,d\,f\,g}{2\,h^2}\right)+\frac{\ln\left(g+h\,x\right)\,\left(a\,c\,e\,h^3-b\,d\,f\,g^3-a\,c\,f\,g\,h^2-a\,d\,e\,g\,h^2-b\,c\,e\,g\,h^2+a\,d\,f\,g^2\,h+b\,c\,f\,g^2\,h+b\,d\,e\,g^2\,h\right)}{h^4}+\frac{b\,d\,f\,x^3}{3\,h}","Not used",1,"x*((a*c*f + a*d*e + b*c*e)/h - (g*((a*d*f + b*c*f + b*d*e)/h - (b*d*f*g)/h^2))/h) + x^2*((a*d*f + b*c*f + b*d*e)/(2*h) - (b*d*f*g)/(2*h^2)) + (log(g + h*x)*(a*c*e*h^3 - b*d*f*g^3 - a*c*f*g*h^2 - a*d*e*g*h^2 - b*c*e*g*h^2 + a*d*f*g^2*h + b*c*f*g^2*h + b*d*e*g^2*h))/h^4 + (b*d*f*x^3)/(3*h)","B"
3,1,105,84,2.969936,"\text{Not used}","int(((a + b*x)*(c + d*x))/((e + f*x)*(g + h*x)),x)","\frac{\ln\left(e+f\,x\right)\,\left(a\,c\,f^2-f\,\left(a\,d\,e+b\,c\,e\right)+b\,d\,e^2\right)}{f^3\,g-e\,f^2\,h}+\frac{\ln\left(g+h\,x\right)\,\left(a\,c\,h^2-h\,\left(a\,d\,g+b\,c\,g\right)+b\,d\,g^2\right)}{e\,h^3-f\,g\,h^2}+\frac{b\,d\,x}{f\,h}","Not used",1,"(log(e + f*x)*(a*c*f^2 - f*(a*d*e + b*c*e) + b*d*e^2))/(f^3*g - e*f^2*h) + (log(g + h*x)*(a*c*h^2 - h*(a*d*g + b*c*g) + b*d*g^2))/(e*h^3 - f*g*h^2) + (b*d*x)/(f*h)","B"
4,1,127,108,4.167936,"\text{Not used}","int((a + b*x)/((e + f*x)*(g + h*x)*(c + d*x)),x)","\frac{\ln\left(e+f\,x\right)\,\left(a\,f-b\,e\right)}{c\,f^2\,g+d\,e^2\,h-c\,e\,f\,h-d\,e\,f\,g}+\frac{\ln\left(g+h\,x\right)\,\left(a\,h-b\,g\right)}{c\,e\,h^2+d\,f\,g^2-c\,f\,g\,h-d\,e\,g\,h}+\frac{\ln\left(c+d\,x\right)\,\left(a\,d-b\,c\right)}{d^2\,e\,g+c^2\,f\,h-c\,d\,e\,h-c\,d\,f\,g}","Not used",1,"(log(e + f*x)*(a*f - b*e))/(c*f^2*g + d*e^2*h - c*e*f*h - d*e*f*g) + (log(g + h*x)*(a*h - b*g))/(c*e*h^2 + d*f*g^2 - c*f*g*h - d*e*g*h) + (log(c + d*x)*(a*d - b*c))/(d^2*e*g + c^2*f*h - c*d*e*h - c*d*f*g)","B"
5,1,317,163,6.622190,"\text{Not used}","int(1/((e + f*x)*(g + h*x)*(a + b*x)*(c + d*x)),x)","\frac{b^2\,\ln\left(a+b\,x\right)}{b^3\,c\,e\,g-a^3\,d\,f\,h-a\,b^2\,c\,e\,h-a\,b^2\,c\,f\,g-a\,b^2\,d\,e\,g+a^2\,b\,c\,f\,h+a^2\,b\,d\,e\,h+a^2\,b\,d\,f\,g}+\frac{d^2\,\ln\left(c+d\,x\right)}{a\,d^3\,e\,g-b\,c^3\,f\,h-a\,c\,d^2\,e\,h-a\,c\,d^2\,f\,g-b\,c\,d^2\,e\,g+a\,c^2\,d\,f\,h+b\,c^2\,d\,e\,h+b\,c^2\,d\,f\,g}+\frac{f^2\,\ln\left(e+f\,x\right)}{a\,c\,f^3\,g-b\,d\,e^3\,h-a\,c\,e\,f^2\,h-a\,d\,e\,f^2\,g-b\,c\,e\,f^2\,g+a\,d\,e^2\,f\,h+b\,c\,e^2\,f\,h+b\,d\,e^2\,f\,g}+\frac{h^2\,\ln\left(g+h\,x\right)}{a\,c\,e\,h^3-b\,d\,f\,g^3-a\,c\,f\,g\,h^2-a\,d\,e\,g\,h^2-b\,c\,e\,g\,h^2+a\,d\,f\,g^2\,h+b\,c\,f\,g^2\,h+b\,d\,e\,g^2\,h}","Not used",1,"(b^2*log(a + b*x))/(b^3*c*e*g - a^3*d*f*h - a*b^2*c*e*h - a*b^2*c*f*g - a*b^2*d*e*g + a^2*b*c*f*h + a^2*b*d*e*h + a^2*b*d*f*g) + (d^2*log(c + d*x))/(a*d^3*e*g - b*c^3*f*h - a*c*d^2*e*h - a*c*d^2*f*g - b*c*d^2*e*g + a*c^2*d*f*h + b*c^2*d*e*h + b*c^2*d*f*g) + (f^2*log(e + f*x))/(a*c*f^3*g - b*d*e^3*h - a*c*e*f^2*h - a*d*e*f^2*g - b*c*e*f^2*g + a*d*e^2*f*h + b*c*e^2*f*h + b*d*e^2*f*g) + (h^2*log(g + h*x))/(a*c*e*h^3 - b*d*f*g^3 - a*c*f*g*h^2 - a*d*e*g*h^2 - b*c*e*g*h^2 + a*d*f*g^2*h + b*c*f*g^2*h + b*d*e*g^2*h)","B"
6,1,19,23,0.075568,"\text{Not used}","int(x/((x + 1)*(x + 2)*(x + 3)),x)","2\,\ln\left(x+2\right)-\frac{\ln\left(x+1\right)}{2}-\frac{3\,\ln\left(x+3\right)}{2}","Not used",1,"2*log(x + 2) - log(x + 1)/2 - (3*log(x + 3))/2","B"
7,1,29,43,0.123346,"\text{Not used}","int(-(x^2 - x^3)/((5*x + 3)^3*(x - 6)),x)","\frac{20\,\ln\left(x-6\right)}{3993}+\frac{1493\,\ln\left(x+\frac{3}{5}\right)}{499125}+\frac{\frac{201\,x}{75625}+\frac{471}{378125}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(20*log(x - 6))/3993 + (1493*log(x + 3/5))/499125 + ((201*x)/75625 + 471/378125)/((6*x)/5 + x^2 + 9/25)","B"
8,1,413,227,0.161034,"\text{Not used}","int(((e + f*x)*(a + b*x)^3*(c + d*x)^(1/2))/x,x)","\left(c\,\left(c\,\left(c\,\left(\frac{2\,b^3\,d\,e-8\,b^3\,c\,f+6\,a\,b^2\,d\,f}{d^4}+\frac{2\,b^3\,c\,f}{d^4}\right)+\frac{6\,b\,\left(a\,d-b\,c\right)\,\left(a\,d\,f-2\,b\,c\,f+b\,d\,e\right)}{d^4}\right)+\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d\,f-4\,b\,c\,f+3\,b\,d\,e\right)}{d^4}\right)-\frac{2\,{\left(a\,d-b\,c\right)}^3\,\left(c\,f-d\,e\right)}{d^4}\right)\,\sqrt{c+d\,x}+\left(\frac{c\,\left(c\,\left(\frac{2\,b^3\,d\,e-8\,b^3\,c\,f+6\,a\,b^2\,d\,f}{d^4}+\frac{2\,b^3\,c\,f}{d^4}\right)+\frac{6\,b\,\left(a\,d-b\,c\right)\,\left(a\,d\,f-2\,b\,c\,f+b\,d\,e\right)}{d^4}\right)}{3}+\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d\,f-4\,b\,c\,f+3\,b\,d\,e\right)}{3\,d^4}\right)\,{\left(c+d\,x\right)}^{3/2}+\left(\frac{2\,b^3\,d\,e-8\,b^3\,c\,f+6\,a\,b^2\,d\,f}{7\,d^4}+\frac{2\,b^3\,c\,f}{7\,d^4}\right)\,{\left(c+d\,x\right)}^{7/2}+\left(\frac{c\,\left(\frac{2\,b^3\,d\,e-8\,b^3\,c\,f+6\,a\,b^2\,d\,f}{d^4}+\frac{2\,b^3\,c\,f}{d^4}\right)}{5}+\frac{6\,b\,\left(a\,d-b\,c\right)\,\left(a\,d\,f-2\,b\,c\,f+b\,d\,e\right)}{5\,d^4}\right)\,{\left(c+d\,x\right)}^{5/2}+\frac{2\,b^3\,f\,{\left(c+d\,x\right)}^{9/2}}{9\,d^4}+a^3\,\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\sqrt{c+d\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,2{}\mathrm{i}","Not used",1,"(c*(c*(c*((2*b^3*d*e - 8*b^3*c*f + 6*a*b^2*d*f)/d^4 + (2*b^3*c*f)/d^4) + (6*b*(a*d - b*c)*(a*d*f - 2*b*c*f + b*d*e))/d^4) + (2*(a*d - b*c)^2*(a*d*f - 4*b*c*f + 3*b*d*e))/d^4) - (2*(a*d - b*c)^3*(c*f - d*e))/d^4)*(c + d*x)^(1/2) + ((c*(c*((2*b^3*d*e - 8*b^3*c*f + 6*a*b^2*d*f)/d^4 + (2*b^3*c*f)/d^4) + (6*b*(a*d - b*c)*(a*d*f - 2*b*c*f + b*d*e))/d^4))/3 + (2*(a*d - b*c)^2*(a*d*f - 4*b*c*f + 3*b*d*e))/(3*d^4))*(c + d*x)^(3/2) + ((2*b^3*d*e - 8*b^3*c*f + 6*a*b^2*d*f)/(7*d^4) + (2*b^3*c*f)/(7*d^4))*(c + d*x)^(7/2) + ((c*((2*b^3*d*e - 8*b^3*c*f + 6*a*b^2*d*f)/d^4 + (2*b^3*c*f)/d^4))/5 + (6*b*(a*d - b*c)*(a*d*f - 2*b*c*f + b*d*e))/(5*d^4))*(c + d*x)^(5/2) + a^3*c^(1/2)*e*atan(((c + d*x)^(1/2)*1i)/c^(1/2))*2i + (2*b^3*f*(c + d*x)^(9/2))/(9*d^4)","B"
9,1,263,146,2.620727,"\text{Not used}","int(((e + f*x)*(a + b*x)^2*(c + d*x)^(1/2))/x,x)","\left(\frac{2\,b^2\,d\,e-6\,b^2\,c\,f+4\,a\,b\,d\,f}{5\,d^3}+\frac{2\,b^2\,c\,f}{5\,d^3}\right)\,{\left(c+d\,x\right)}^{5/2}+\left(c\,\left(c\,\left(\frac{2\,b^2\,d\,e-6\,b^2\,c\,f+4\,a\,b\,d\,f}{d^3}+\frac{2\,b^2\,c\,f}{d^3}\right)+\frac{2\,\left(a\,d-b\,c\right)\,\left(a\,d\,f-3\,b\,c\,f+2\,b\,d\,e\right)}{d^3}\right)-\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(c\,f-d\,e\right)}{d^3}\right)\,\sqrt{c+d\,x}+\left(\frac{c\,\left(\frac{2\,b^2\,d\,e-6\,b^2\,c\,f+4\,a\,b\,d\,f}{d^3}+\frac{2\,b^2\,c\,f}{d^3}\right)}{3}+\frac{2\,\left(a\,d-b\,c\right)\,\left(a\,d\,f-3\,b\,c\,f+2\,b\,d\,e\right)}{3\,d^3}\right)\,{\left(c+d\,x\right)}^{3/2}+\frac{2\,b^2\,f\,{\left(c+d\,x\right)}^{7/2}}{7\,d^3}+a^2\,\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\sqrt{c+d\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,2{}\mathrm{i}","Not used",1,"((2*b^2*d*e - 6*b^2*c*f + 4*a*b*d*f)/(5*d^3) + (2*b^2*c*f)/(5*d^3))*(c + d*x)^(5/2) + (c*(c*((2*b^2*d*e - 6*b^2*c*f + 4*a*b*d*f)/d^3 + (2*b^2*c*f)/d^3) + (2*(a*d - b*c)*(a*d*f - 3*b*c*f + 2*b*d*e))/d^3) - (2*(a*d - b*c)^2*(c*f - d*e))/d^3)*(c + d*x)^(1/2) + ((c*((2*b^2*d*e - 6*b^2*c*f + 4*a*b*d*f)/d^3 + (2*b^2*c*f)/d^3))/3 + (2*(a*d - b*c)*(a*d*f - 3*b*c*f + 2*b*d*e))/(3*d^3))*(c + d*x)^(3/2) + a^2*c^(1/2)*e*atan(((c + d*x)^(1/2)*1i)/c^(1/2))*2i + (2*b^2*f*(c + d*x)^(7/2))/(7*d^3)","B"
10,1,136,77,0.090562,"\text{Not used}","int(((e + f*x)*(a + b*x)*(c + d*x)^(1/2))/x,x)","\left(c\,\left(\frac{2\,a\,d\,f-4\,b\,c\,f+2\,b\,d\,e}{d^2}+\frac{2\,b\,c\,f}{d^2}\right)-\frac{2\,\left(a\,d-b\,c\right)\,\left(c\,f-d\,e\right)}{d^2}\right)\,\sqrt{c+d\,x}+\left(\frac{2\,a\,d\,f-4\,b\,c\,f+2\,b\,d\,e}{3\,d^2}+\frac{2\,b\,c\,f}{3\,d^2}\right)\,{\left(c+d\,x\right)}^{3/2}+\frac{2\,b\,f\,{\left(c+d\,x\right)}^{5/2}}{5\,d^2}+a\,\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\sqrt{c+d\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,2{}\mathrm{i}","Not used",1,"(c*((2*a*d*f - 4*b*c*f + 2*b*d*e)/d^2 + (2*b*c*f)/d^2) - (2*(a*d - b*c)*(c*f - d*e))/d^2)*(c + d*x)^(1/2) + ((2*a*d*f - 4*b*c*f + 2*b*d*e)/(3*d^2) + (2*b*c*f)/(3*d^2))*(c + d*x)^(3/2) + (2*b*f*(c + d*x)^(5/2))/(5*d^2) + a*c^(1/2)*e*atan(((c + d*x)^(1/2)*1i)/c^(1/2))*2i","B"
11,1,45,54,0.071908,"\text{Not used}","int(((e + f*x)*(c + d*x)^(1/2))/x,x)","2\,e\,\sqrt{c+d\,x}+\frac{2\,f\,{\left(c+d\,x\right)}^{3/2}}{3\,d}+\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\sqrt{c+d\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,2{}\mathrm{i}","Not used",1,"2*e*(c + d*x)^(1/2) + c^(1/2)*e*atan(((c + d*x)^(1/2)*1i)/c^(1/2))*2i + (2*f*(c + d*x)^(3/2))/(3*d)","B"
12,1,2368,101,2.871206,"\text{Not used}","int(((e + f*x)*(c + d*x)^(1/2))/(x*(a + b*x)),x)","\frac{2\,f\,\sqrt{c+d\,x}}{b}-\frac{\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\frac{\sqrt{c}\,e\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}+\frac{\sqrt{c}\,e\,\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}+\frac{8\,\sqrt{c}\,e\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\sqrt{c+d\,x}}{a\,b}\right)}{a}\right)\,1{}\mathrm{i}}{a}+\frac{\sqrt{c}\,e\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}-\frac{\sqrt{c}\,e\,\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}-\frac{8\,\sqrt{c}\,e\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\sqrt{c+d\,x}}{a\,b}\right)}{a}\right)\,1{}\mathrm{i}}{a}}{\frac{16\,\left(-a^3\,c\,d^4\,e\,f^2+2\,a^2\,b\,c^2\,d^3\,e\,f^2+2\,a^2\,b\,c\,d^4\,e^2\,f-a\,b^2\,c^3\,d^2\,e\,f^2-3\,a\,b^2\,c^2\,d^3\,e^2\,f-a\,b^2\,c\,d^4\,e^3+b^3\,c^3\,d^2\,e^2\,f+b^3\,c^2\,d^3\,e^3\right)}{b}-\frac{\sqrt{c}\,e\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}+\frac{\sqrt{c}\,e\,\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}+\frac{8\,\sqrt{c}\,e\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\sqrt{c+d\,x}}{a\,b}\right)}{a}\right)}{a}+\frac{\sqrt{c}\,e\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}-\frac{\sqrt{c}\,e\,\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}-\frac{8\,\sqrt{c}\,e\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\sqrt{c+d\,x}}{a\,b}\right)}{a}\right)}{a}}\right)\,2{}\mathrm{i}}{a}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}+\frac{\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}+\frac{8\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}}{a\,b^4}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,1{}\mathrm{i}}{a\,b^3}+\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}-\frac{\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}-\frac{8\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}}{a\,b^4}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,1{}\mathrm{i}}{a\,b^3}}{\frac{16\,\left(-a^3\,c\,d^4\,e\,f^2+2\,a^2\,b\,c^2\,d^3\,e\,f^2+2\,a^2\,b\,c\,d^4\,e^2\,f-a\,b^2\,c^3\,d^2\,e\,f^2-3\,a\,b^2\,c^2\,d^3\,e^2\,f-a\,b^2\,c\,d^4\,e^3+b^3\,c^3\,d^2\,e^2\,f+b^3\,c^2\,d^3\,e^3\right)}{b}-\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}+\frac{\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}+\frac{8\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}}{a\,b^4}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}+\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2-2\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f+a^2\,b^2\,c^2\,d^2\,f^2+4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+2\,b^4\,c^2\,d^2\,e^2\right)}{b}-\frac{\left(\frac{8\,\left(a^3\,b^2\,c\,d^3\,f-a^2\,b^3\,c^2\,d^2\,f\right)}{b}-\frac{8\,\left(a^3\,b^3\,d^3-2\,a^2\,b^4\,c\,d^2\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}}{a\,b^4}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a\,b^3}}\right)\,\left(a\,f-b\,e\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,2{}\mathrm{i}}{a\,b^3}","Not used",1,"(2*f*(c + d*x)^(1/2))/b - (c^(1/2)*e*atan(((c^(1/2)*e*((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b + (c^(1/2)*e*((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b + (8*c^(1/2)*e*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(c + d*x)^(1/2))/(a*b)))/a)*1i)/a + (c^(1/2)*e*((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b - (c^(1/2)*e*((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b - (8*c^(1/2)*e*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(c + d*x)^(1/2))/(a*b)))/a)*1i)/a)/((16*(b^3*c^2*d^3*e^3 - a*b^2*c*d^4*e^3 - a^3*c*d^4*e*f^2 + b^3*c^3*d^2*e^2*f - 3*a*b^2*c^2*d^3*e^2*f - a*b^2*c^3*d^2*e*f^2 + 2*a^2*b*c^2*d^3*e*f^2 + 2*a^2*b*c*d^4*e^2*f))/b - (c^(1/2)*e*((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b + (c^(1/2)*e*((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b + (8*c^(1/2)*e*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(c + d*x)^(1/2))/(a*b)))/a))/a + (c^(1/2)*e*((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b - (c^(1/2)*e*((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b - (8*c^(1/2)*e*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(c + d*x)^(1/2))/(a*b)))/a))/a))*2i)/a - (atan(((((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b + (((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b + (8*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2))/(a*b^4))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*1i)/(a*b^3) + (((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b - (((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b - (8*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2))/(a*b^4))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*1i)/(a*b^3))/((16*(b^3*c^2*d^3*e^3 - a*b^2*c*d^4*e^3 - a^3*c*d^4*e*f^2 + b^3*c^3*d^2*e^2*f - 3*a*b^2*c^2*d^3*e^2*f - a*b^2*c^3*d^2*e*f^2 + 2*a^2*b*c^2*d^3*e*f^2 + 2*a^2*b*c*d^4*e^2*f))/b - (((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b + (((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b + (8*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2))/(a*b^4))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3) + (((8*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 2*b^4*c^2*d^2*e^2 - 2*a^3*b*d^4*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a^3*b*c*d^3*f^2 - 2*a*b^3*c^2*d^2*e*f + 4*a^2*b^2*c*d^3*e*f))/b - (((8*(a^3*b^2*c*d^3*f - a^2*b^3*c^2*d^2*f))/b - (8*(a^3*b^3*d^3 - 2*a^2*b^4*c*d^2)*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2))/(a*b^4))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2))/(a*b^3)))*(a*f - b*e)*(-b^3*(a*d - b*c))^(1/2)*2i)/(a*b^3)","B"
13,1,1827,127,0.598510,"\text{Not used}","int(((e + f*x)*(c + d*x)^(1/2))/(x*(a + b*x)^2),x)","-\frac{2\,\sqrt{c}\,e\,\mathrm{atanh}\left(\frac{4\,\sqrt{c}\,d^4\,e\,f^2\,\sqrt{c+d\,x}}{4\,c\,d^4\,e\,f^2+\frac{4\,b^2\,c\,d^4\,e^3}{a^2}-\frac{16\,b^2\,c^2\,d^3\,e^2\,f}{a^2}+\frac{8\,b\,c\,d^4\,e^2\,f}{a}}+\frac{8\,\sqrt{c}\,d^4\,e^2\,f\,\sqrt{c+d\,x}}{8\,c\,d^4\,e^2\,f+\frac{4\,b\,c\,d^4\,e^3}{a}-\frac{16\,b\,c^2\,d^3\,e^2\,f}{a}+\frac{4\,a\,c\,d^4\,e\,f^2}{b}}+\frac{4\,b\,\sqrt{c}\,d^4\,e^3\,\sqrt{c+d\,x}}{4\,b\,c\,d^4\,e^3+8\,a\,c\,d^4\,e^2\,f-16\,b\,c^2\,d^3\,e^2\,f+\frac{4\,a^2\,c\,d^4\,e\,f^2}{b}}-\frac{16\,b\,c^{3/2}\,d^3\,e^2\,f\,\sqrt{c+d\,x}}{4\,b\,c\,d^4\,e^3+8\,a\,c\,d^4\,e^2\,f-16\,b\,c^2\,d^3\,e^2\,f+\frac{4\,a^2\,c\,d^4\,e\,f^2}{b}}\right)}{a^2}-\frac{\left(a\,d\,f-b\,d\,e\right)\,\sqrt{c+d\,x}}{a\,b\,\left(a\,d-b\,c+b\,\left(c+d\,x\right)\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{2\,\left(2\,a^4\,b^3\,c\,d^3\,e-2\,a^5\,b^2\,c\,d^3\,f\right)}{a^3\,b}+\frac{\left(4\,a^5\,b^3\,d^3-8\,a^4\,b^4\,c\,d^2\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{a^2\,b\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}+\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2+2\,a^3\,b\,d^4\,e\,f-4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c\,d^3\,e^2+8\,b^4\,c^2\,d^2\,e^2\right)}{a^2\,b}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)\,1{}\mathrm{i}}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}-\frac{\left(\frac{\left(\frac{2\,\left(2\,a^4\,b^3\,c\,d^3\,e-2\,a^5\,b^2\,c\,d^3\,f\right)}{a^3\,b}-\frac{\left(4\,a^5\,b^3\,d^3-8\,a^4\,b^4\,c\,d^2\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{a^2\,b\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}-\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2+2\,a^3\,b\,d^4\,e\,f-4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c\,d^3\,e^2+8\,b^4\,c^2\,d^2\,e^2\right)}{a^2\,b}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)\,1{}\mathrm{i}}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}}{\frac{4\,\left(a^3\,c\,d^4\,e\,f^2+2\,a^2\,b\,c\,d^4\,e^2\,f-2\,a\,b^2\,c^2\,d^3\,e^2\,f+a\,b^2\,c\,d^4\,e^3-2\,b^3\,c^2\,d^3\,e^3\right)}{a^3\,b}+\frac{\left(\frac{\left(\frac{2\,\left(2\,a^4\,b^3\,c\,d^3\,e-2\,a^5\,b^2\,c\,d^3\,f\right)}{a^3\,b}+\frac{\left(4\,a^5\,b^3\,d^3-8\,a^4\,b^4\,c\,d^2\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{a^2\,b\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}+\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2+2\,a^3\,b\,d^4\,e\,f-4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c\,d^3\,e^2+8\,b^4\,c^2\,d^2\,e^2\right)}{a^2\,b}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}+\frac{\left(\frac{\left(\frac{2\,\left(2\,a^4\,b^3\,c\,d^3\,e-2\,a^5\,b^2\,c\,d^3\,f\right)}{a^3\,b}-\frac{\left(4\,a^5\,b^3\,d^3-8\,a^4\,b^4\,c\,d^2\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{a^2\,b\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}-\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^4\,f^2+2\,a^3\,b\,d^4\,e\,f-4\,a^2\,b^2\,c\,d^3\,e\,f+a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c\,d^3\,e^2+8\,b^4\,c^2\,d^2\,e^2\right)}{a^2\,b}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)}{2\,\left(a^2\,b^4\,c-a^3\,b^3\,d\right)}}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(d\,f\,a^2+d\,e\,a\,b-2\,c\,e\,b^2\right)\,1{}\mathrm{i}}{a^2\,b^4\,c-a^3\,b^3\,d}","Not used",1,"(atan(((((((2*(2*a^4*b^3*c*d^3*e - 2*a^5*b^2*c*d^3*f))/(a^3*b) + ((4*a^5*b^3*d^3 - 8*a^4*b^4*c*d^2)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(a^2*b*(a^2*b^4*c - a^3*b^3*d)))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d)) + (2*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 8*b^4*c^2*d^2*e^2 + 2*a^3*b*d^4*e*f - 4*a*b^3*c*d^3*e^2 - 4*a^2*b^2*c*d^3*e*f))/(a^2*b))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e)*1i)/(2*(a^2*b^4*c - a^3*b^3*d)) - (((((2*(2*a^4*b^3*c*d^3*e - 2*a^5*b^2*c*d^3*f))/(a^3*b) - ((4*a^5*b^3*d^3 - 8*a^4*b^4*c*d^2)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(a^2*b*(a^2*b^4*c - a^3*b^3*d)))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d)) - (2*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 8*b^4*c^2*d^2*e^2 + 2*a^3*b*d^4*e*f - 4*a*b^3*c*d^3*e^2 - 4*a^2*b^2*c*d^3*e*f))/(a^2*b))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e)*1i)/(2*(a^2*b^4*c - a^3*b^3*d)))/((4*(a*b^2*c*d^4*e^3 - 2*b^3*c^2*d^3*e^3 + a^3*c*d^4*e*f^2 - 2*a*b^2*c^2*d^3*e^2*f + 2*a^2*b*c*d^4*e^2*f))/(a^3*b) + (((((2*(2*a^4*b^3*c*d^3*e - 2*a^5*b^2*c*d^3*f))/(a^3*b) + ((4*a^5*b^3*d^3 - 8*a^4*b^4*c*d^2)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(a^2*b*(a^2*b^4*c - a^3*b^3*d)))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d)) + (2*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 8*b^4*c^2*d^2*e^2 + 2*a^3*b*d^4*e*f - 4*a*b^3*c*d^3*e^2 - 4*a^2*b^2*c*d^3*e*f))/(a^2*b))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d)) + (((((2*(2*a^4*b^3*c*d^3*e - 2*a^5*b^2*c*d^3*f))/(a^3*b) - ((4*a^5*b^3*d^3 - 8*a^4*b^4*c*d^2)*(-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(a^2*b*(a^2*b^4*c - a^3*b^3*d)))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d)) - (2*(c + d*x)^(1/2)*(a^4*d^4*f^2 + a^2*b^2*d^4*e^2 + 8*b^4*c^2*d^2*e^2 + 2*a^3*b*d^4*e*f - 4*a*b^3*c*d^3*e^2 - 4*a^2*b^2*c*d^3*e*f))/(a^2*b))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e))/(2*(a^2*b^4*c - a^3*b^3*d))))*(-b^3*(a*d - b*c))^(1/2)*(a^2*d*f - 2*b^2*c*e + a*b*d*e)*1i)/(a^2*b^4*c - a^3*b^3*d) - (2*c^(1/2)*e*atanh((4*c^(1/2)*d^4*e*f^2*(c + d*x)^(1/2))/(4*c*d^4*e*f^2 + (4*b^2*c*d^4*e^3)/a^2 - (16*b^2*c^2*d^3*e^2*f)/a^2 + (8*b*c*d^4*e^2*f)/a) + (8*c^(1/2)*d^4*e^2*f*(c + d*x)^(1/2))/(8*c*d^4*e^2*f + (4*b*c*d^4*e^3)/a - (16*b*c^2*d^3*e^2*f)/a + (4*a*c*d^4*e*f^2)/b) + (4*b*c^(1/2)*d^4*e^3*(c + d*x)^(1/2))/(4*b*c*d^4*e^3 + 8*a*c*d^4*e^2*f - 16*b*c^2*d^3*e^2*f + (4*a^2*c*d^4*e*f^2)/b) - (16*b*c^(3/2)*d^3*e^2*f*(c + d*x)^(1/2))/(4*b*c*d^4*e^3 + 8*a*c*d^4*e^2*f - 16*b*c^2*d^3*e^2*f + (4*a^2*c*d^4*e*f^2)/b)))/a^2 - ((a*d*f - b*d*e)*(c + d*x)^(1/2))/(a*b*(a*d - b*c + b*(c + d*x)))","B"
14,1,4852,208,4.542510,"\text{Not used}","int(((e + f*x)*(c + d*x)^(1/2))/(x*(a + b*x)^3),x)","-\frac{\frac{\sqrt{c+d\,x}\,\left(f\,a^2\,d^2-5\,e\,a\,b\,d^2+4\,c\,e\,b^2\,d\right)}{4\,a^2\,b}-\frac{{\left(c+d\,x\right)}^{3/2}\,\left(f\,a^2\,d^2+3\,e\,a\,b\,d^2-4\,c\,e\,b^2\,d\right)}{4\,a^2\,\left(a\,d-b\,c\right)}}{b^2\,{\left(c+d\,x\right)}^2-\left(2\,b^2\,c-2\,a\,b\,d\right)\,\left(c+d\,x\right)+a^2\,d^2+b^2\,c^2-2\,a\,b\,c\,d}+\frac{\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\frac{\sqrt{c}\,e\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}+\frac{\sqrt{c}\,e\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}+\frac{\sqrt{c}\,e\,\sqrt{c+d\,x}\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{8\,a^3\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}\right)}{a^3}\right)\,1{}\mathrm{i}}{a^3}+\frac{\sqrt{c}\,e\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}-\frac{\sqrt{c}\,e\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}-\frac{\sqrt{c}\,e\,\sqrt{c+d\,x}\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{8\,a^3\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}\right)}{a^3}\right)\,1{}\mathrm{i}}{a^3}}{\frac{\frac{a^5\,c\,d^6\,e\,f^2}{4}+\frac{3\,a^4\,b\,c\,d^6\,e^2\,f}{2}-4\,a^3\,b^2\,c^2\,d^5\,e^2\,f+\frac{9\,a^3\,b^2\,c\,d^6\,e^3}{4}+2\,a^2\,b^3\,c^3\,d^4\,e^2\,f-12\,a^2\,b^3\,c^2\,d^5\,e^3+18\,a\,b^4\,c^3\,d^4\,e^3-8\,b^5\,c^4\,d^3\,e^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}+\frac{\sqrt{c}\,e\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}+\frac{\sqrt{c}\,e\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}+\frac{\sqrt{c}\,e\,\sqrt{c+d\,x}\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{8\,a^3\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}\right)}{a^3}\right)}{a^3}-\frac{\sqrt{c}\,e\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}-\frac{\sqrt{c}\,e\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}-\frac{\sqrt{c}\,e\,\sqrt{c+d\,x}\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{8\,a^3\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}\right)}{a^3}\right)}{a^3}}\right)\,2{}\mathrm{i}}{a^3}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,x}\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{64\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,1{}\mathrm{i}}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,x}\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{64\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,1{}\mathrm{i}}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}}{\frac{\frac{a^5\,c\,d^6\,e\,f^2}{4}+\frac{3\,a^4\,b\,c\,d^6\,e^2\,f}{2}-4\,a^3\,b^2\,c^2\,d^5\,e^2\,f+\frac{9\,a^3\,b^2\,c\,d^6\,e^3}{4}+2\,a^2\,b^3\,c^3\,d^4\,e^2\,f-12\,a^2\,b^3\,c^2\,d^5\,e^3+18\,a\,b^4\,c^3\,d^4\,e^3-8\,b^5\,c^4\,d^3\,e^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,x}\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{64\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{c+d\,x}\,\left(a^6\,d^6\,f^2+6\,a^5\,b\,d^6\,e\,f-24\,a^4\,b^2\,c\,d^5\,e\,f+9\,a^4\,b^2\,d^6\,e^2+16\,a^3\,b^3\,c^2\,d^4\,e\,f-72\,a^3\,b^3\,c\,d^5\,e^2+256\,a^2\,b^4\,c^2\,d^4\,e^2-320\,a\,b^5\,c^3\,d^3\,e^2+128\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{-f\,a^9\,b^2\,c\,d^5+f\,a^8\,b^3\,c^2\,d^4+5\,e\,a^8\,b^3\,c\,d^5-9\,e\,a^7\,b^4\,c^2\,d^4+4\,e\,a^6\,b^5\,c^3\,d^3}{a^8\,b\,d^2-2\,a^7\,b^2\,c\,d+a^6\,b^3\,c^2}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{c+d\,x}\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,\left(64\,a^9\,b^3\,d^5-256\,a^8\,b^4\,c\,d^4+320\,a^7\,b^5\,c^2\,d^3-128\,a^6\,b^6\,c^3\,d^2\right)}{64\,\left(a^6\,b\,d^2-2\,a^5\,b^2\,c\,d+a^4\,b^3\,c^2\right)\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}\right)\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)}{8\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(f\,a^3\,d^2+3\,e\,a^2\,b\,d^2-12\,e\,a\,b^2\,c\,d+8\,e\,b^3\,c^2\right)\,1{}\mathrm{i}}{4\,\left(-a^6\,b^3\,d^3+3\,a^5\,b^4\,c\,d^2-3\,a^4\,b^5\,c^2\,d+a^3\,b^6\,c^3\right)}","Not used",1,"(c^(1/2)*e*atan(((c^(1/2)*e*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) + (c^(1/2)*e*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) + (c^(1/2)*e*(c + d*x)^(1/2)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(8*a^3*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d))))/a^3)*1i)/a^3 + (c^(1/2)*e*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) - (c^(1/2)*e*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) - (c^(1/2)*e*(c + d*x)^(1/2)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(8*a^3*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d))))/a^3)*1i)/a^3)/(((a^5*c*d^6*e*f^2)/4 - 12*a^2*b^3*c^2*d^5*e^3 - 8*b^5*c^4*d^3*e^3 + 18*a*b^4*c^3*d^4*e^3 + (9*a^3*b^2*c*d^6*e^3)/4 + 2*a^2*b^3*c^3*d^4*e^2*f - 4*a^3*b^2*c^2*d^5*e^2*f + (3*a^4*b*c*d^6*e^2*f)/2)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) + (c^(1/2)*e*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) + (c^(1/2)*e*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) + (c^(1/2)*e*(c + d*x)^(1/2)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(8*a^3*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d))))/a^3))/a^3 - (c^(1/2)*e*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) - (c^(1/2)*e*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) - (c^(1/2)*e*(c + d*x)^(1/2)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(8*a^3*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d))))/a^3))/a^3))*2i)/a^3 - (((c + d*x)^(1/2)*(a^2*d^2*f - 5*a*b*d^2*e + 4*b^2*c*d*e))/(4*a^2*b) - ((c + d*x)^(3/2)*(a^2*d^2*f + 3*a*b*d^2*e - 4*b^2*c*d*e))/(4*a^2*(a*d - b*c)))/(b^2*(c + d*x)^2 - (2*b^2*c - 2*a*b*d)*(c + d*x) + a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (atan((((-b^3*(a*d - b*c)^3)^(1/2)*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) - ((-b^3*(a*d - b*c)^3)^(1/2)*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*(c + d*x)^(1/2)*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(64*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*1i)/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)) + ((-b^3*(a*d - b*c)^3)^(1/2)*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) + ((-b^3*(a*d - b*c)^3)^(1/2)*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*(c + d*x)^(1/2)*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(64*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*1i)/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))/(((a^5*c*d^6*e*f^2)/4 - 12*a^2*b^3*c^2*d^5*e^3 - 8*b^5*c^4*d^3*e^3 + 18*a*b^4*c^3*d^4*e^3 + (9*a^3*b^2*c*d^6*e^3)/4 + 2*a^2*b^3*c^3*d^4*e^2*f - 4*a^3*b^2*c^2*d^5*e^2*f + (3*a^4*b*c*d^6*e^2*f)/2)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) - ((-b^3*(a*d - b*c)^3)^(1/2)*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*(c + d*x)^(1/2)*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(64*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)) + ((-b^3*(a*d - b*c)^3)^(1/2)*(((c + d*x)^(1/2)*(a^6*d^6*f^2 + 9*a^4*b^2*d^6*e^2 + 128*b^6*c^4*d^2*e^2 + 6*a^5*b*d^6*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 320*a*b^5*c^3*d^3*e^2 - 72*a^3*b^3*c*d^5*e^2 + 16*a^3*b^3*c^2*d^4*e*f - 24*a^4*b^2*c*d^5*e*f))/(8*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)) + ((-b^3*(a*d - b*c)^3)^(1/2)*((5*a^8*b^3*c*d^5*e - a^9*b^2*c*d^5*f + 4*a^6*b^5*c^3*d^3*e - 9*a^7*b^4*c^2*d^4*e + a^8*b^3*c^2*d^4*f)/(a^8*b*d^2 + a^6*b^3*c^2 - 2*a^7*b^2*c*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*(c + d*x)^(1/2)*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*(64*a^9*b^3*d^5 - 256*a^8*b^4*c*d^4 - 128*a^6*b^6*c^3*d^2 + 320*a^7*b^5*c^2*d^3))/(64*(a^6*b*d^2 + a^4*b^3*c^2 - 2*a^5*b^2*c*d)*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2)))*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e))/(8*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2))))*(-b^3*(a*d - b*c)^3)^(1/2)*(8*b^3*c^2*e + a^3*d^2*f + 3*a^2*b*d^2*e - 12*a*b^2*c*d*e)*1i)/(4*(a^3*b^6*c^3 - a^6*b^3*d^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2))","B"
15,1,413,226,2.527934,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2)*(c + d*x)^3)/x,x)","\left(\frac{2\,b\,d^3\,e-8\,a\,d^3\,f+6\,b\,c\,d^2\,f}{7\,b^4}+\frac{2\,a\,d^3\,f}{7\,b^4}\right)\,{\left(a+b\,x\right)}^{7/2}+\left(\frac{a\,\left(\frac{2\,b\,d^3\,e-8\,a\,d^3\,f+6\,b\,c\,d^2\,f}{b^4}+\frac{2\,a\,d^3\,f}{b^4}\right)}{5}-\frac{6\,d\,\left(a\,d-b\,c\right)\,\left(b\,c\,f-2\,a\,d\,f+b\,d\,e\right)}{5\,b^4}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(a\,\left(a\,\left(a\,\left(\frac{2\,b\,d^3\,e-8\,a\,d^3\,f+6\,b\,c\,d^2\,f}{b^4}+\frac{2\,a\,d^3\,f}{b^4}\right)-\frac{6\,d\,\left(a\,d-b\,c\right)\,\left(b\,c\,f-2\,a\,d\,f+b\,d\,e\right)}{b^4}\right)+\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(b\,c\,f-4\,a\,d\,f+3\,b\,d\,e\right)}{b^4}\right)+\frac{2\,{\left(a\,d-b\,c\right)}^3\,\left(a\,f-b\,e\right)}{b^4}\right)\,\sqrt{a+b\,x}+\left(\frac{a\,\left(a\,\left(\frac{2\,b\,d^3\,e-8\,a\,d^3\,f+6\,b\,c\,d^2\,f}{b^4}+\frac{2\,a\,d^3\,f}{b^4}\right)-\frac{6\,d\,\left(a\,d-b\,c\right)\,\left(b\,c\,f-2\,a\,d\,f+b\,d\,e\right)}{b^4}\right)}{3}+\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(b\,c\,f-4\,a\,d\,f+3\,b\,d\,e\right)}{3\,b^4}\right)\,{\left(a+b\,x\right)}^{3/2}+\frac{2\,d^3\,f\,{\left(a+b\,x\right)}^{9/2}}{9\,b^4}+\sqrt{a}\,c^3\,e\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"((2*b*d^3*e - 8*a*d^3*f + 6*b*c*d^2*f)/(7*b^4) + (2*a*d^3*f)/(7*b^4))*(a + b*x)^(7/2) + ((a*((2*b*d^3*e - 8*a*d^3*f + 6*b*c*d^2*f)/b^4 + (2*a*d^3*f)/b^4))/5 - (6*d*(a*d - b*c)*(b*c*f - 2*a*d*f + b*d*e))/(5*b^4))*(a + b*x)^(5/2) + (a*(a*(a*((2*b*d^3*e - 8*a*d^3*f + 6*b*c*d^2*f)/b^4 + (2*a*d^3*f)/b^4) - (6*d*(a*d - b*c)*(b*c*f - 2*a*d*f + b*d*e))/b^4) + (2*(a*d - b*c)^2*(b*c*f - 4*a*d*f + 3*b*d*e))/b^4) + (2*(a*d - b*c)^3*(a*f - b*e))/b^4)*(a + b*x)^(1/2) + ((a*(a*((2*b*d^3*e - 8*a*d^3*f + 6*b*c*d^2*f)/b^4 + (2*a*d^3*f)/b^4) - (6*d*(a*d - b*c)*(b*c*f - 2*a*d*f + b*d*e))/b^4))/3 + (2*(a*d - b*c)^2*(b*c*f - 4*a*d*f + 3*b*d*e))/(3*b^4))*(a + b*x)^(3/2) + a^(1/2)*c^3*e*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*d^3*f*(a + b*x)^(9/2))/(9*b^4)","B"
16,1,263,145,0.089221,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2)*(c + d*x)^2)/x,x)","\left(\frac{2\,b\,d^2\,e-6\,a\,d^2\,f+4\,b\,c\,d\,f}{5\,b^3}+\frac{2\,a\,d^2\,f}{5\,b^3}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(a\,\left(a\,\left(\frac{2\,b\,d^2\,e-6\,a\,d^2\,f+4\,b\,c\,d\,f}{b^3}+\frac{2\,a\,d^2\,f}{b^3}\right)-\frac{2\,\left(a\,d-b\,c\right)\,\left(b\,c\,f-3\,a\,d\,f+2\,b\,d\,e\right)}{b^3}\right)-\frac{2\,{\left(a\,d-b\,c\right)}^2\,\left(a\,f-b\,e\right)}{b^3}\right)\,\sqrt{a+b\,x}+\left(\frac{a\,\left(\frac{2\,b\,d^2\,e-6\,a\,d^2\,f+4\,b\,c\,d\,f}{b^3}+\frac{2\,a\,d^2\,f}{b^3}\right)}{3}-\frac{2\,\left(a\,d-b\,c\right)\,\left(b\,c\,f-3\,a\,d\,f+2\,b\,d\,e\right)}{3\,b^3}\right)\,{\left(a+b\,x\right)}^{3/2}+\frac{2\,d^2\,f\,{\left(a+b\,x\right)}^{7/2}}{7\,b^3}+\sqrt{a}\,c^2\,e\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"((2*b*d^2*e - 6*a*d^2*f + 4*b*c*d*f)/(5*b^3) + (2*a*d^2*f)/(5*b^3))*(a + b*x)^(5/2) + (a*(a*((2*b*d^2*e - 6*a*d^2*f + 4*b*c*d*f)/b^3 + (2*a*d^2*f)/b^3) - (2*(a*d - b*c)*(b*c*f - 3*a*d*f + 2*b*d*e))/b^3) - (2*(a*d - b*c)^2*(a*f - b*e))/b^3)*(a + b*x)^(1/2) + ((a*((2*b*d^2*e - 6*a*d^2*f + 4*b*c*d*f)/b^3 + (2*a*d^2*f)/b^3))/3 - (2*(a*d - b*c)*(b*c*f - 3*a*d*f + 2*b*d*e))/(3*b^3))*(a + b*x)^(3/2) + a^(1/2)*c^2*e*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*d^2*f*(a + b*x)^(7/2))/(7*b^3)","B"
17,1,136,77,2.487185,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2)*(c + d*x))/x,x)","\left(a\,\left(\frac{2\,b\,c\,f-4\,a\,d\,f+2\,b\,d\,e}{b^2}+\frac{2\,a\,d\,f}{b^2}\right)+\frac{2\,\left(a\,d-b\,c\right)\,\left(a\,f-b\,e\right)}{b^2}\right)\,\sqrt{a+b\,x}+\left(\frac{2\,b\,c\,f-4\,a\,d\,f+2\,b\,d\,e}{3\,b^2}+\frac{2\,a\,d\,f}{3\,b^2}\right)\,{\left(a+b\,x\right)}^{3/2}+\frac{2\,d\,f\,{\left(a+b\,x\right)}^{5/2}}{5\,b^2}+\sqrt{a}\,c\,e\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"(a*((2*b*c*f - 4*a*d*f + 2*b*d*e)/b^2 + (2*a*d*f)/b^2) + (2*(a*d - b*c)*(a*f - b*e))/b^2)*(a + b*x)^(1/2) + ((2*b*c*f - 4*a*d*f + 2*b*d*e)/(3*b^2) + (2*a*d*f)/(3*b^2))*(a + b*x)^(3/2) + (2*d*f*(a + b*x)^(5/2))/(5*b^2) + a^(1/2)*c*e*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i","B"
18,1,45,54,0.068734,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2))/x,x)","2\,e\,\sqrt{a+b\,x}+\frac{2\,f\,{\left(a+b\,x\right)}^{3/2}}{3\,b}+\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"2*e*(a + b*x)^(1/2) + a^(1/2)*e*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*f*(a + b*x)^(3/2))/(3*b)","B"
19,1,2355,101,2.819181,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2))/(x*(c + d*x)),x)","\frac{2\,f\,\sqrt{a+b\,x}}{d}-\frac{\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\frac{\sqrt{a}\,e\,\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}+\frac{\sqrt{a}\,e\,\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}+\frac{8\,\sqrt{a}\,e\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\sqrt{a+b\,x}}{c\,d}\right)}{c}\right)\,1{}\mathrm{i}}{c}+\frac{\sqrt{a}\,e\,\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}-\frac{\sqrt{a}\,e\,\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}-\frac{8\,\sqrt{a}\,e\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\sqrt{a+b\,x}}{c\,d}\right)}{c}\right)\,1{}\mathrm{i}}{c}}{\frac{16\,\left(-a^3\,b^2\,c\,d^2\,e\,f^2+a^3\,b^2\,d^3\,e^2\,f+2\,a^2\,b^3\,c^2\,d\,e\,f^2-3\,a^2\,b^3\,c\,d^2\,e^2\,f+a^2\,b^3\,d^3\,e^3-a\,b^4\,c^3\,e\,f^2+2\,a\,b^4\,c^2\,d\,e^2\,f-a\,b^4\,c\,d^2\,e^3\right)}{d}-\frac{\sqrt{a}\,e\,\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}+\frac{\sqrt{a}\,e\,\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}+\frac{8\,\sqrt{a}\,e\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\sqrt{a+b\,x}}{c\,d}\right)}{c}\right)}{c}+\frac{\sqrt{a}\,e\,\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}-\frac{\sqrt{a}\,e\,\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}-\frac{8\,\sqrt{a}\,e\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\sqrt{a+b\,x}}{c\,d}\right)}{c}\right)}{c}}\right)\,2{}\mathrm{i}}{c}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}+\frac{\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}+\frac{8\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}}{c\,d^4}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,1{}\mathrm{i}}{c\,d^3}+\frac{\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}-\frac{\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}-\frac{8\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}}{c\,d^4}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,1{}\mathrm{i}}{c\,d^3}}{\frac{16\,\left(-a^3\,b^2\,c\,d^2\,e\,f^2+a^3\,b^2\,d^3\,e^2\,f+2\,a^2\,b^3\,c^2\,d\,e\,f^2-3\,a^2\,b^3\,c\,d^2\,e^2\,f+a^2\,b^3\,d^3\,e^3-a\,b^4\,c^3\,e\,f^2+2\,a\,b^4\,c^2\,d\,e^2\,f-a\,b^4\,c\,d^2\,e^3\right)}{d}-\frac{\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}+\frac{\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}+\frac{8\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}}{c\,d^4}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}+\frac{\left(\frac{8\,\sqrt{a+b\,x}\,\left(a^2\,b^2\,c^2\,d^2\,f^2-2\,a^2\,b^2\,c\,d^3\,e\,f+2\,a^2\,b^2\,d^4\,e^2-2\,a\,b^3\,c^3\,d\,f^2+4\,a\,b^3\,c^2\,d^2\,e\,f-2\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2-2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{d}-\frac{\left(\frac{8\,\left(a\,b^3\,c^3\,d^2\,f-a^2\,b^2\,c^2\,d^3\,f\right)}{d}-\frac{8\,\left(b^3\,c^3\,d^3-2\,a\,b^2\,c^2\,d^4\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}}{c\,d^4}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}}{c\,d^3}}\right)\,\left(c\,f-d\,e\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,2{}\mathrm{i}}{c\,d^3}","Not used",1,"(2*f*(a + b*x)^(1/2))/d - (a^(1/2)*e*atan(((a^(1/2)*e*((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d + (a^(1/2)*e*((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d + (8*a^(1/2)*e*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(a + b*x)^(1/2))/(c*d)))/c)*1i)/c + (a^(1/2)*e*((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d - (a^(1/2)*e*((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d - (8*a^(1/2)*e*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(a + b*x)^(1/2))/(c*d)))/c)*1i)/c)/((16*(a^2*b^3*d^3*e^3 - a*b^4*c*d^2*e^3 - a*b^4*c^3*e*f^2 + a^3*b^2*d^3*e^2*f - 3*a^2*b^3*c*d^2*e^2*f + 2*a^2*b^3*c^2*d*e*f^2 - a^3*b^2*c*d^2*e*f^2 + 2*a*b^4*c^2*d*e^2*f))/d - (a^(1/2)*e*((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d + (a^(1/2)*e*((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d + (8*a^(1/2)*e*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(a + b*x)^(1/2))/(c*d)))/c))/c + (a^(1/2)*e*((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d - (a^(1/2)*e*((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d - (8*a^(1/2)*e*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(a + b*x)^(1/2))/(c*d)))/c))/c))*2i)/c - (atan(((((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d + (((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d + (8*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2))/(c*d^4))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*1i)/(c*d^3) + (((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d - (((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d - (8*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2))/(c*d^4))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*1i)/(c*d^3))/((16*(a^2*b^3*d^3*e^3 - a*b^4*c*d^2*e^3 - a*b^4*c^3*e*f^2 + a^3*b^2*d^3*e^2*f - 3*a^2*b^3*c*d^2*e^2*f + 2*a^2*b^3*c^2*d*e*f^2 - a^3*b^2*c*d^2*e*f^2 + 2*a*b^4*c^2*d*e^2*f))/d - (((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d + (((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d + (8*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2))/(c*d^4))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3) + (((8*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 2*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 - 2*b^4*c^3*d*e*f + a^2*b^2*c^2*d^2*f^2 - 2*a*b^3*c*d^3*e^2 - 2*a*b^3*c^3*d*f^2 + 4*a*b^3*c^2*d^2*e*f - 2*a^2*b^2*c*d^3*e*f))/d - (((8*(a*b^3*c^3*d^2*f - a^2*b^2*c^2*d^3*f))/d - (8*(b^3*c^3*d^3 - 2*a*b^2*c^2*d^4)*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2))/(c*d^4))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2))/(c*d^3)))*(c*f - d*e)*(d^3*(a*d - b*c))^(1/2)*2i)/(c*d^3)","B"
20,1,1814,128,2.951991,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2))/(x*(c + d*x)^2),x)","-\frac{2\,\sqrt{a}\,e\,\mathrm{atanh}\left(\frac{4\,\sqrt{a}\,b^4\,e\,f^2\,\sqrt{a+b\,x}}{4\,a\,b^4\,e\,f^2+\frac{4\,a\,b^4\,d^2\,e^3}{c^2}-\frac{16\,a^2\,b^3\,d^2\,e^2\,f}{c^2}+\frac{8\,a\,b^4\,d\,e^2\,f}{c}}+\frac{8\,\sqrt{a}\,b^4\,e^2\,f\,\sqrt{a+b\,x}}{8\,a\,b^4\,e^2\,f+\frac{4\,a\,b^4\,d\,e^3}{c}-\frac{16\,a^2\,b^3\,d\,e^2\,f}{c}+\frac{4\,a\,b^4\,c\,e\,f^2}{d}}+\frac{4\,\sqrt{a}\,b^4\,d\,e^3\,\sqrt{a+b\,x}}{4\,a\,b^4\,d\,e^3+8\,a\,b^4\,c\,e^2\,f-16\,a^2\,b^3\,d\,e^2\,f+\frac{4\,a\,b^4\,c^2\,e\,f^2}{d}}-\frac{16\,a^{3/2}\,b^3\,d\,e^2\,f\,\sqrt{a+b\,x}}{4\,a\,b^4\,d\,e^3+8\,a\,b^4\,c\,e^2\,f-16\,a^2\,b^3\,d\,e^2\,f+\frac{4\,a\,b^4\,c^2\,e\,f^2}{d}}\right)}{c^2}-\frac{\left(b\,c\,f-b\,d\,e\right)\,\sqrt{a+b\,x}}{c\,d\,\left(b\,c-a\,d+d\,\left(a+b\,x\right)\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{2\,\left(2\,a\,b^3\,c^4\,d^3\,e-2\,a\,b^3\,c^5\,d^2\,f\right)}{c^3\,d}+\frac{\left(4\,b^3\,c^5\,d^3-8\,a\,b^2\,c^4\,d^4\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{c^2\,d\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}+\frac{2\,\sqrt{a+b\,x}\,\left(8\,a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c^2\,d^2\,e\,f-4\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2+2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{c^2\,d}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)\,1{}\mathrm{i}}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}-\frac{\left(\frac{\left(\frac{2\,\left(2\,a\,b^3\,c^4\,d^3\,e-2\,a\,b^3\,c^5\,d^2\,f\right)}{c^3\,d}-\frac{\left(4\,b^3\,c^5\,d^3-8\,a\,b^2\,c^4\,d^4\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{c^2\,d\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}-\frac{2\,\sqrt{a+b\,x}\,\left(8\,a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c^2\,d^2\,e\,f-4\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2+2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{c^2\,d}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)\,1{}\mathrm{i}}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}}{\frac{4\,\left(-2\,a^2\,b^3\,c\,d^2\,e^2\,f-2\,a^2\,b^3\,d^3\,e^3+a\,b^4\,c^3\,e\,f^2+2\,a\,b^4\,c^2\,d\,e^2\,f+a\,b^4\,c\,d^2\,e^3\right)}{c^3\,d}+\frac{\left(\frac{\left(\frac{2\,\left(2\,a\,b^3\,c^4\,d^3\,e-2\,a\,b^3\,c^5\,d^2\,f\right)}{c^3\,d}+\frac{\left(4\,b^3\,c^5\,d^3-8\,a\,b^2\,c^4\,d^4\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{c^2\,d\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}+\frac{2\,\sqrt{a+b\,x}\,\left(8\,a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c^2\,d^2\,e\,f-4\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2+2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{c^2\,d}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}+\frac{\left(\frac{\left(\frac{2\,\left(2\,a\,b^3\,c^4\,d^3\,e-2\,a\,b^3\,c^5\,d^2\,f\right)}{c^3\,d}-\frac{\left(4\,b^3\,c^5\,d^3-8\,a\,b^2\,c^4\,d^4\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\sqrt{a+b\,x}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{c^2\,d\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}-\frac{2\,\sqrt{a+b\,x}\,\left(8\,a^2\,b^2\,d^4\,e^2-4\,a\,b^3\,c^2\,d^2\,e\,f-4\,a\,b^3\,c\,d^3\,e^2+b^4\,c^4\,f^2+2\,b^4\,c^3\,d\,e\,f+b^4\,c^2\,d^2\,e^2\right)}{c^2\,d}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)}{2\,\left(a\,c^2\,d^4-b\,c^3\,d^3\right)}}\right)\,\sqrt{d^3\,\left(a\,d-b\,c\right)}\,\left(b\,f\,c^2+b\,e\,c\,d-2\,a\,e\,d^2\right)\,1{}\mathrm{i}}{a\,c^2\,d^4-b\,c^3\,d^3}","Not used",1,"(atan(((((((2*(2*a*b^3*c^4*d^3*e - 2*a*b^3*c^5*d^2*f))/(c^3*d) + ((4*b^3*c^5*d^3 - 8*a*b^2*c^4*d^4)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(c^2*d*(a*c^2*d^4 - b*c^3*d^3)))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3)) + (2*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 8*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 + 2*b^4*c^3*d*e*f - 4*a*b^3*c*d^3*e^2 - 4*a*b^3*c^2*d^2*e*f))/(c^2*d))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e)*1i)/(2*(a*c^2*d^4 - b*c^3*d^3)) - (((((2*(2*a*b^3*c^4*d^3*e - 2*a*b^3*c^5*d^2*f))/(c^3*d) - ((4*b^3*c^5*d^3 - 8*a*b^2*c^4*d^4)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(c^2*d*(a*c^2*d^4 - b*c^3*d^3)))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3)) - (2*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 8*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 + 2*b^4*c^3*d*e*f - 4*a*b^3*c*d^3*e^2 - 4*a*b^3*c^2*d^2*e*f))/(c^2*d))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e)*1i)/(2*(a*c^2*d^4 - b*c^3*d^3)))/((4*(a*b^4*c*d^2*e^3 - 2*a^2*b^3*d^3*e^3 + a*b^4*c^3*e*f^2 - 2*a^2*b^3*c*d^2*e^2*f + 2*a*b^4*c^2*d*e^2*f))/(c^3*d) + (((((2*(2*a*b^3*c^4*d^3*e - 2*a*b^3*c^5*d^2*f))/(c^3*d) + ((4*b^3*c^5*d^3 - 8*a*b^2*c^4*d^4)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(c^2*d*(a*c^2*d^4 - b*c^3*d^3)))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3)) + (2*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 8*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 + 2*b^4*c^3*d*e*f - 4*a*b^3*c*d^3*e^2 - 4*a*b^3*c^2*d^2*e*f))/(c^2*d))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3)) + (((((2*(2*a*b^3*c^4*d^3*e - 2*a*b^3*c^5*d^2*f))/(c^3*d) - ((4*b^3*c^5*d^3 - 8*a*b^2*c^4*d^4)*(d^3*(a*d - b*c))^(1/2)*(a + b*x)^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(c^2*d*(a*c^2*d^4 - b*c^3*d^3)))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3)) - (2*(a + b*x)^(1/2)*(b^4*c^4*f^2 + 8*a^2*b^2*d^4*e^2 + b^4*c^2*d^2*e^2 + 2*b^4*c^3*d*e*f - 4*a*b^3*c*d^3*e^2 - 4*a*b^3*c^2*d^2*e*f))/(c^2*d))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e))/(2*(a*c^2*d^4 - b*c^3*d^3))))*(d^3*(a*d - b*c))^(1/2)*(b*c^2*f - 2*a*d^2*e + b*c*d*e)*1i)/(a*c^2*d^4 - b*c^3*d^3) - (2*a^(1/2)*e*atanh((4*a^(1/2)*b^4*e*f^2*(a + b*x)^(1/2))/(4*a*b^4*e*f^2 + (4*a*b^4*d^2*e^3)/c^2 - (16*a^2*b^3*d^2*e^2*f)/c^2 + (8*a*b^4*d*e^2*f)/c) + (8*a^(1/2)*b^4*e^2*f*(a + b*x)^(1/2))/(8*a*b^4*e^2*f + (4*a*b^4*d*e^3)/c - (16*a^2*b^3*d*e^2*f)/c + (4*a*b^4*c*e*f^2)/d) + (4*a^(1/2)*b^4*d*e^3*(a + b*x)^(1/2))/(4*a*b^4*d*e^3 + 8*a*b^4*c*e^2*f - 16*a^2*b^3*d*e^2*f + (4*a*b^4*c^2*e*f^2)/d) - (16*a^(3/2)*b^3*d*e^2*f*(a + b*x)^(1/2))/(4*a*b^4*d*e^3 + 8*a*b^4*c*e^2*f - 16*a^2*b^3*d*e^2*f + (4*a*b^4*c^2*e*f^2)/d)))/c^2 - ((b*c*f - b*d*e)*(a + b*x)^(1/2))/(c*d*(b*c - a*d + d*(a + b*x)))","B"
21,1,4839,205,4.631554,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/2))/(x*(c + d*x)^3),x)","-\frac{\frac{\sqrt{a+b\,x}\,\left(f\,b^2\,c^2-5\,e\,b^2\,c\,d+4\,a\,e\,b\,d^2\right)}{4\,c^2\,d}+\frac{{\left(a+b\,x\right)}^{3/2}\,\left(f\,b^2\,c^2+3\,e\,b^2\,c\,d-4\,a\,e\,b\,d^2\right)}{4\,c^2\,\left(a\,d-b\,c\right)}}{d^2\,{\left(a+b\,x\right)}^2-\left(2\,a\,d^2-2\,b\,c\,d\right)\,\left(a+b\,x\right)+a^2\,d^2+b^2\,c^2-2\,a\,b\,c\,d}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}-\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}-\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{a+b\,x}\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{64\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,1{}\mathrm{i}}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{a+b\,x}\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{64\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,1{}\mathrm{i}}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}}{\frac{-8\,a^4\,b^3\,d^5\,e^3+2\,a^3\,b^4\,c^2\,d^3\,e^2\,f+18\,a^3\,b^4\,c\,d^4\,e^3-4\,a^2\,b^5\,c^3\,d^2\,e^2\,f-12\,a^2\,b^5\,c^2\,d^3\,e^3+\frac{a\,b^6\,c^5\,e\,f^2}{4}+\frac{3\,a\,b^6\,c^4\,d\,e^2\,f}{2}+\frac{9\,a\,b^6\,c^3\,d^2\,e^3}{4}}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}-\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}-\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}-\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{a+b\,x}\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{64\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}+\frac{\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\sqrt{a+b\,x}\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{64\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}\right)\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)}{8\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}}\right)\,\sqrt{d^3\,{\left(a\,d-b\,c\right)}^3}\,\left(8\,e\,a^2\,d^3-12\,e\,a\,b\,c\,d^2+f\,b^2\,c^3+3\,e\,b^2\,c^2\,d\right)\,1{}\mathrm{i}}{4\,\left(a^3\,c^3\,d^6-3\,a^2\,b\,c^4\,d^5+3\,a\,b^2\,c^5\,d^4-b^3\,c^6\,d^3\right)}+\frac{\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\frac{\sqrt{a}\,e\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}+\frac{\sqrt{a}\,e\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}+\frac{\sqrt{a}\,e\,\sqrt{a+b\,x}\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{8\,c^3\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}\right)}{c^3}\right)\,1{}\mathrm{i}}{c^3}+\frac{\sqrt{a}\,e\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}-\frac{\sqrt{a}\,e\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}-\frac{\sqrt{a}\,e\,\sqrt{a+b\,x}\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{8\,c^3\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}\right)}{c^3}\right)\,1{}\mathrm{i}}{c^3}}{\frac{-8\,a^4\,b^3\,d^5\,e^3+2\,a^3\,b^4\,c^2\,d^3\,e^2\,f+18\,a^3\,b^4\,c\,d^4\,e^3-4\,a^2\,b^5\,c^3\,d^2\,e^2\,f-12\,a^2\,b^5\,c^2\,d^3\,e^3+\frac{a\,b^6\,c^5\,e\,f^2}{4}+\frac{3\,a\,b^6\,c^4\,d\,e^2\,f}{2}+\frac{9\,a\,b^6\,c^3\,d^2\,e^3}{4}}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}+\frac{\sqrt{a}\,e\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}+\frac{\sqrt{a}\,e\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}+\frac{\sqrt{a}\,e\,\sqrt{a+b\,x}\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{8\,c^3\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}\right)}{c^3}\right)}{c^3}-\frac{\sqrt{a}\,e\,\left(\frac{\sqrt{a+b\,x}\,\left(128\,a^4\,b^2\,d^6\,e^2-320\,a^3\,b^3\,c\,d^5\,e^2+16\,a^2\,b^4\,c^3\,d^3\,e\,f+256\,a^2\,b^4\,c^2\,d^4\,e^2-24\,a\,b^5\,c^4\,d^2\,e\,f-72\,a\,b^5\,c^3\,d^3\,e^2+b^6\,c^6\,f^2+6\,b^6\,c^5\,d\,e\,f+9\,b^6\,c^4\,d^2\,e^2\right)}{8\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}-\frac{\sqrt{a}\,e\,\left(\frac{4\,e\,a^3\,b^3\,c^6\,d^5+f\,a^2\,b^4\,c^8\,d^3-9\,e\,a^2\,b^4\,c^7\,d^4-f\,a\,b^5\,c^9\,d^2+5\,e\,a\,b^5\,c^8\,d^3}{a^2\,c^6\,d^3-2\,a\,b\,c^7\,d^2+b^2\,c^8\,d}-\frac{\sqrt{a}\,e\,\sqrt{a+b\,x}\,\left(-128\,a^3\,b^2\,c^6\,d^6+320\,a^2\,b^3\,c^7\,d^5-256\,a\,b^4\,c^8\,d^4+64\,b^5\,c^9\,d^3\right)}{8\,c^3\,\left(a^2\,c^4\,d^3-2\,a\,b\,c^5\,d^2+b^2\,c^6\,d\right)}\right)}{c^3}\right)}{c^3}}\right)\,2{}\mathrm{i}}{c^3}","Not used",1,"(atan((((d^3*(a*d - b*c)^3)^(1/2)*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) - ((d^3*(a*d - b*c)^3)^(1/2)*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) - ((d^3*(a*d - b*c)^3)^(1/2)*(a + b*x)^(1/2)*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(64*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*1i)/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)) + ((d^3*(a*d - b*c)^3)^(1/2)*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) + ((d^3*(a*d - b*c)^3)^(1/2)*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) + ((d^3*(a*d - b*c)^3)^(1/2)*(a + b*x)^(1/2)*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(64*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*1i)/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))/(((a*b^6*c^5*e*f^2)/4 - 12*a^2*b^5*c^2*d^3*e^3 - 8*a^4*b^3*d^5*e^3 + (9*a*b^6*c^3*d^2*e^3)/4 + 18*a^3*b^4*c*d^4*e^3 - 4*a^2*b^5*c^3*d^2*e^2*f + 2*a^3*b^4*c^2*d^3*e^2*f + (3*a*b^6*c^4*d*e^2*f)/2)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) - ((d^3*(a*d - b*c)^3)^(1/2)*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) - ((d^3*(a*d - b*c)^3)^(1/2)*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) - ((d^3*(a*d - b*c)^3)^(1/2)*(a + b*x)^(1/2)*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(64*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)) + ((d^3*(a*d - b*c)^3)^(1/2)*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) + ((d^3*(a*d - b*c)^3)^(1/2)*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) + ((d^3*(a*d - b*c)^3)^(1/2)*(a + b*x)^(1/2)*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(64*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)))*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e))/(8*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5))))*(d^3*(a*d - b*c)^3)^(1/2)*(8*a^2*d^3*e + b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e)*1i)/(4*(a^3*c^3*d^6 - b^3*c^6*d^3 + 3*a*b^2*c^5*d^4 - 3*a^2*b*c^4*d^5)) - (((a + b*x)^(1/2)*(b^2*c^2*f + 4*a*b*d^2*e - 5*b^2*c*d*e))/(4*c^2*d) + ((a + b*x)^(3/2)*(b^2*c^2*f - 4*a*b*d^2*e + 3*b^2*c*d*e))/(4*c^2*(a*d - b*c)))/(d^2*(a + b*x)^2 - (2*a*d^2 - 2*b*c*d)*(a + b*x) + a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (a^(1/2)*e*atan(((a^(1/2)*e*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) + (a^(1/2)*e*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) + (a^(1/2)*e*(a + b*x)^(1/2)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(8*c^3*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2))))/c^3)*1i)/c^3 + (a^(1/2)*e*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) - (a^(1/2)*e*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) - (a^(1/2)*e*(a + b*x)^(1/2)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(8*c^3*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2))))/c^3)*1i)/c^3)/(((a*b^6*c^5*e*f^2)/4 - 12*a^2*b^5*c^2*d^3*e^3 - 8*a^4*b^3*d^5*e^3 + (9*a*b^6*c^3*d^2*e^3)/4 + 18*a^3*b^4*c*d^4*e^3 - 4*a^2*b^5*c^3*d^2*e^2*f + 2*a^3*b^4*c^2*d^3*e^2*f + (3*a*b^6*c^4*d*e^2*f)/2)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) + (a^(1/2)*e*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) + (a^(1/2)*e*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) + (a^(1/2)*e*(a + b*x)^(1/2)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(8*c^3*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2))))/c^3))/c^3 - (a^(1/2)*e*(((a + b*x)^(1/2)*(b^6*c^6*f^2 + 128*a^4*b^2*d^6*e^2 + 9*b^6*c^4*d^2*e^2 + 6*b^6*c^5*d*e*f + 256*a^2*b^4*c^2*d^4*e^2 - 72*a*b^5*c^3*d^3*e^2 - 320*a^3*b^3*c*d^5*e^2 + 16*a^2*b^4*c^3*d^3*e*f - 24*a*b^5*c^4*d^2*e*f))/(8*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2)) - (a^(1/2)*e*((5*a*b^5*c^8*d^3*e - a*b^5*c^9*d^2*f - 9*a^2*b^4*c^7*d^4*e + 4*a^3*b^3*c^6*d^5*e + a^2*b^4*c^8*d^3*f)/(b^2*c^8*d + a^2*c^6*d^3 - 2*a*b*c^7*d^2) - (a^(1/2)*e*(a + b*x)^(1/2)*(64*b^5*c^9*d^3 - 256*a*b^4*c^8*d^4 + 320*a^2*b^3*c^7*d^5 - 128*a^3*b^2*c^6*d^6))/(8*c^3*(b^2*c^6*d + a^2*c^4*d^3 - 2*a*b*c^5*d^2))))/c^3))/c^3))*2i)/c^3","B"
22,1,345,111,7.777584,"\text{Not used}","int((x^3*(a*x + 1))/((a*x)^(1/2)*(1 - a*x)^(1/2)),x)","\frac{75\,\mathrm{atan}\left(\frac{\sqrt{a\,x}}{\sqrt{1-a\,x}-1}\right)}{32\,a^4}-\frac{\frac{5\,\sqrt{a\,x}}{4\,\left(\sqrt{1-a\,x}-1\right)}+\frac{85\,{\left(a\,x\right)}^{3/2}}{12\,{\left(\sqrt{1-a\,x}-1\right)}^3}+\frac{33\,{\left(a\,x\right)}^{5/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^5}-\frac{33\,{\left(a\,x\right)}^{7/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^7}-\frac{85\,{\left(a\,x\right)}^{9/2}}{12\,{\left(\sqrt{1-a\,x}-1\right)}^9}-\frac{5\,{\left(a\,x\right)}^{11/2}}{4\,{\left(\sqrt{1-a\,x}-1\right)}^{11}}}{a^4\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^6}-\frac{\frac{35\,\sqrt{a\,x}}{32\,\left(\sqrt{1-a\,x}-1\right)}+\frac{805\,{\left(a\,x\right)}^{3/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^3}+\frac{2681\,{\left(a\,x\right)}^{5/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^5}+\frac{5053\,{\left(a\,x\right)}^{7/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^7}-\frac{5053\,{\left(a\,x\right)}^{9/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^9}-\frac{2681\,{\left(a\,x\right)}^{11/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^{11}}-\frac{805\,{\left(a\,x\right)}^{13/2}}{96\,{\left(\sqrt{1-a\,x}-1\right)}^{13}}-\frac{35\,{\left(a\,x\right)}^{15/2}}{32\,{\left(\sqrt{1-a\,x}-1\right)}^{15}}}{a^4\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^8}","Not used",1,"(75*atan((a*x)^(1/2)/((1 - a*x)^(1/2) - 1)))/(32*a^4) - ((5*(a*x)^(1/2))/(4*((1 - a*x)^(1/2) - 1)) + (85*(a*x)^(3/2))/(12*((1 - a*x)^(1/2) - 1)^3) + (33*(a*x)^(5/2))/(2*((1 - a*x)^(1/2) - 1)^5) - (33*(a*x)^(7/2))/(2*((1 - a*x)^(1/2) - 1)^7) - (85*(a*x)^(9/2))/(12*((1 - a*x)^(1/2) - 1)^9) - (5*(a*x)^(11/2))/(4*((1 - a*x)^(1/2) - 1)^11))/(a^4*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^6) - ((35*(a*x)^(1/2))/(32*((1 - a*x)^(1/2) - 1)) + (805*(a*x)^(3/2))/(96*((1 - a*x)^(1/2) - 1)^3) + (2681*(a*x)^(5/2))/(96*((1 - a*x)^(1/2) - 1)^5) + (5053*(a*x)^(7/2))/(96*((1 - a*x)^(1/2) - 1)^7) - (5053*(a*x)^(9/2))/(96*((1 - a*x)^(1/2) - 1)^9) - (2681*(a*x)^(11/2))/(96*((1 - a*x)^(1/2) - 1)^11) - (805*(a*x)^(13/2))/(96*((1 - a*x)^(1/2) - 1)^13) - (35*(a*x)^(15/2))/(32*((1 - a*x)^(1/2) - 1)^15))/(a^4*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^8)","B"
23,1,269,87,5.921696,"\text{Not used}","int((x^2*(a*x + 1))/((a*x)^(1/2)*(1 - a*x)^(1/2)),x)","\frac{11\,\mathrm{atan}\left(\frac{\sqrt{a\,x}}{\sqrt{1-a\,x}-1}\right)}{4\,a^3}-\frac{\frac{5\,\sqrt{a\,x}}{4\,\left(\sqrt{1-a\,x}-1\right)}+\frac{85\,{\left(a\,x\right)}^{3/2}}{12\,{\left(\sqrt{1-a\,x}-1\right)}^3}+\frac{33\,{\left(a\,x\right)}^{5/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^5}-\frac{33\,{\left(a\,x\right)}^{7/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^7}-\frac{85\,{\left(a\,x\right)}^{9/2}}{12\,{\left(\sqrt{1-a\,x}-1\right)}^9}-\frac{5\,{\left(a\,x\right)}^{11/2}}{4\,{\left(\sqrt{1-a\,x}-1\right)}^{11}}}{a^3\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^6}-\frac{\frac{3\,\sqrt{a\,x}}{2\,\left(\sqrt{1-a\,x}-1\right)}+\frac{11\,{\left(a\,x\right)}^{3/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^3}-\frac{11\,{\left(a\,x\right)}^{5/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^5}-\frac{3\,{\left(a\,x\right)}^{7/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^7}}{a^3\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^4}","Not used",1,"(11*atan((a*x)^(1/2)/((1 - a*x)^(1/2) - 1)))/(4*a^3) - ((5*(a*x)^(1/2))/(4*((1 - a*x)^(1/2) - 1)) + (85*(a*x)^(3/2))/(12*((1 - a*x)^(1/2) - 1)^3) + (33*(a*x)^(5/2))/(2*((1 - a*x)^(1/2) - 1)^5) - (33*(a*x)^(7/2))/(2*((1 - a*x)^(1/2) - 1)^7) - (85*(a*x)^(9/2))/(12*((1 - a*x)^(1/2) - 1)^9) - (5*(a*x)^(11/2))/(4*((1 - a*x)^(1/2) - 1)^11))/(a^3*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^6) - ((3*(a*x)^(1/2))/(2*((1 - a*x)^(1/2) - 1)) + (11*(a*x)^(3/2))/(2*((1 - a*x)^(1/2) - 1)^3) - (11*(a*x)^(5/2))/(2*((1 - a*x)^(1/2) - 1)^5) - (3*(a*x)^(7/2))/(2*((1 - a*x)^(1/2) - 1)^7))/(a^3*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^4)","B"
24,1,191,63,4.527438,"\text{Not used}","int((x*(a*x + 1))/((a*x)^(1/2)*(1 - a*x)^(1/2)),x)","\frac{7\,\mathrm{atan}\left(\frac{\sqrt{a\,x}}{\sqrt{1-a\,x}-1}\right)}{2\,a^2}-\frac{\frac{2\,\sqrt{a\,x}}{\sqrt{1-a\,x}-1}-\frac{2\,{\left(a\,x\right)}^{3/2}}{{\left(\sqrt{1-a\,x}-1\right)}^3}}{a^2\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^2}-\frac{\frac{3\,\sqrt{a\,x}}{2\,\left(\sqrt{1-a\,x}-1\right)}+\frac{11\,{\left(a\,x\right)}^{3/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^3}-\frac{11\,{\left(a\,x\right)}^{5/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^5}-\frac{3\,{\left(a\,x\right)}^{7/2}}{2\,{\left(\sqrt{1-a\,x}-1\right)}^7}}{a^2\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^4}","Not used",1,"(7*atan((a*x)^(1/2)/((1 - a*x)^(1/2) - 1)))/(2*a^2) - ((2*(a*x)^(1/2))/((1 - a*x)^(1/2) - 1) - (2*(a*x)^(3/2))/((1 - a*x)^(1/2) - 1)^3)/(a^2*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^2) - ((3*(a*x)^(1/2))/(2*((1 - a*x)^(1/2) - 1)) + (11*(a*x)^(3/2))/(2*((1 - a*x)^(1/2) - 1)^3) - (11*(a*x)^(5/2))/(2*((1 - a*x)^(1/2) - 1)^5) - (3*(a*x)^(7/2))/(2*((1 - a*x)^(1/2) - 1)^7))/(a^2*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^4)","B"
25,1,118,37,3.446852,"\text{Not used}","int((a*x + 1)/((a*x)^(1/2)*(1 - a*x)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{a\,x}}{\sqrt{1-a\,x}-1}\right)}{a}-\frac{4\,\mathrm{atan}\left(\frac{a\,\left(\sqrt{1-a\,x}-1\right)}{\sqrt{a\,x}\,\sqrt{a^2}}\right)}{\sqrt{a^2}}-\frac{\frac{2\,\sqrt{a\,x}}{\sqrt{1-a\,x}-1}-\frac{2\,{\left(a\,x\right)}^{3/2}}{{\left(\sqrt{1-a\,x}-1\right)}^3}}{a\,{\left(\frac{a\,x}{{\left(\sqrt{1-a\,x}-1\right)}^2}+1\right)}^2}","Not used",1,"(2*atan((a*x)^(1/2)/((1 - a*x)^(1/2) - 1)))/a - (4*atan((a*((1 - a*x)^(1/2) - 1))/((a*x)^(1/2)*(a^2)^(1/2))))/(a^2)^(1/2) - ((2*(a*x)^(1/2))/((1 - a*x)^(1/2) - 1) - (2*(a*x)^(3/2))/((1 - a*x)^(1/2) - 1)^3)/(a*((a*x)/((1 - a*x)^(1/2) - 1)^2 + 1)^2)","B"
26,1,47,29,2.984786,"\text{Not used}","int((a*x + 1)/(x*(a*x)^(1/2)*(1 - a*x)^(1/2)),x)","-\frac{2\,\sqrt{1-a\,x}}{\sqrt{a\,x}}-\frac{4\,a\,\mathrm{atan}\left(\frac{a\,\left(\sqrt{1-a\,x}-1\right)}{\sqrt{a\,x}\,\sqrt{a^2}}\right)}{\sqrt{a^2}}","Not used",1,"- (2*(1 - a*x)^(1/2))/(a*x)^(1/2) - (4*a*atan((a*((1 - a*x)^(1/2) - 1))/((a*x)^(1/2)*(a^2)^(1/2))))/(a^2)^(1/2)","B"
27,1,24,45,2.747092,"\text{Not used}","int((a*x + 1)/(x^2*(a*x)^(1/2)*(1 - a*x)^(1/2)),x)","-\frac{\sqrt{1-a\,x}\,\left(\frac{10\,a\,x}{3}+\frac{2}{3}\right)}{x\,\sqrt{a\,x}}","Not used",1,"-((1 - a*x)^(1/2)*((10*a*x)/3 + 2/3))/(x*(a*x)^(1/2))","B"
28,1,32,73,2.730872,"\text{Not used}","int((a*x + 1)/(x^3*(a*x)^(1/2)*(1 - a*x)^(1/2)),x)","-\frac{\sqrt{1-a\,x}\,\left(\frac{12\,a^2\,x^2}{5}+\frac{6\,a\,x}{5}+\frac{2}{5}\right)}{x^2\,\sqrt{a\,x}}","Not used",1,"-((1 - a*x)^(1/2)*((6*a*x)/5 + (12*a^2*x^2)/5 + 2/5))/(x^2*(a*x)^(1/2))","B"
29,1,40,97,2.766324,"\text{Not used}","int((a*x + 1)/(x^4*(a*x)^(1/2)*(1 - a*x)^(1/2)),x)","-\frac{\sqrt{1-a\,x}\,\left(\frac{208\,a^3\,x^3}{105}+\frac{104\,a^2\,x^2}{105}+\frac{26\,a\,x}{35}+\frac{2}{7}\right)}{x^3\,\sqrt{a\,x}}","Not used",1,"-((1 - a*x)^(1/2)*((26*a*x)/35 + (104*a^2*x^2)/105 + (208*a^3*x^3)/105 + 2/7))/(x^3*(a*x)^(1/2))","B"
30,1,48,121,2.828695,"\text{Not used}","int((a*x + 1)/(x^5*(a*x)^(1/2)*(1 - a*x)^(1/2)),x)","-\frac{\sqrt{1-a\,x}\,\left(\frac{544\,a^4\,x^4}{315}+\frac{272\,a^3\,x^3}{315}+\frac{68\,a^2\,x^2}{105}+\frac{34\,a\,x}{63}+\frac{2}{9}\right)}{x^4\,\sqrt{a\,x}}","Not used",1,"-((1 - a*x)^(1/2)*((34*a*x)/63 + (68*a^2*x^2)/105 + (272*a^3*x^3)/315 + (544*a^4*x^4)/315 + 2/9))/(x^4*(a*x)^(1/2))","B"
31,1,65,39,4.079567,"\text{Not used}","int((2*a*x - 1)/(x^2*(x - 1)^(1/2)*(x + 1)^(1/2)),x)","-\frac{\sqrt{x-1}\,\sqrt{x+1}}{x}-a\,\left(\ln\left(\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)\right)\,2{}\mathrm{i}","Not used",1,"- a*(log(((x - 1)^(1/2) - 1i)^2/((x + 1)^(1/2) - 1)^2 + 1) - log(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1)))*2i - ((x - 1)^(1/2)*(x + 1)^(1/2))/x","B"
32,1,444,39,5.273485,"\text{Not used}","int(-((a*x - 1)^2 - a^2*x^2)/(x^2*(x - 1)^(1/2)*(x + 1)^(1/2)),x)","a\,\ln\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)\,2{}\mathrm{i}-a^2\,\mathrm{atan}\left(\frac{1024\,a^6}{1024\,a^5+1024\,a^7+\frac{a^6\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}+\frac{a^8\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}}+\frac{1024\,a^8}{1024\,a^5+1024\,a^7+\frac{a^6\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}+\frac{a^8\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}}-\frac{a^5\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\left(\sqrt{x+1}-1\right)\,\left(1024\,a^5+1024\,a^7+\frac{a^6\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}+\frac{a^8\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}\right)}-\frac{a^7\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\left(\sqrt{x+1}-1\right)\,\left(1024\,a^5+1024\,a^7+\frac{a^6\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}+\frac{a^8\,\left(\sqrt{x-1}-\mathrm{i}\right)\,1024{}\mathrm{i}}{\sqrt{x+1}-1}\right)}\right)\,4{}\mathrm{i}-a\,\ln\left(\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}+1\right)\,2{}\mathrm{i}-\frac{\sqrt{x-1}-\mathrm{i}}{4\,\left(\sqrt{x+1}-1\right)}+a^2\,\mathrm{acosh}\left(x\right)-\frac{\frac{5\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{4\,{\left(\sqrt{x+1}-1\right)}^2}+\frac{1}{4}}{\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{x+1}-1\right)}^3}+\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}}","Not used",1,"a*log(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))*2i - a^2*atan((1024*a^6)/(1024*a^5 + 1024*a^7 + (a^6*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1) + (a^8*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1)) + (1024*a^8)/(1024*a^5 + 1024*a^7 + (a^6*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1) + (a^8*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1)) - (a^5*((x - 1)^(1/2) - 1i)*1024i)/(((x + 1)^(1/2) - 1)*(1024*a^5 + 1024*a^7 + (a^6*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1) + (a^8*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1))) - (a^7*((x - 1)^(1/2) - 1i)*1024i)/(((x + 1)^(1/2) - 1)*(1024*a^5 + 1024*a^7 + (a^6*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1) + (a^8*((x - 1)^(1/2) - 1i)*1024i)/((x + 1)^(1/2) - 1))))*4i - a*log(((x - 1)^(1/2) - 1i)^2/((x + 1)^(1/2) - 1)^2 + 1)*2i - ((x - 1)^(1/2) - 1i)/(4*((x + 1)^(1/2) - 1)) + a^2*acosh(x) - ((5*((x - 1)^(1/2) - 1i)^2)/(4*((x + 1)^(1/2) - 1)^2) + 1/4)/(((x - 1)^(1/2) - 1i)^3/((x + 1)^(1/2) - 1)^3 + ((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))","B"
33,0,-1,145,0.000000,"\text{Not used}","int((A + B*x)/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{c+\frac{b\,x\,\left(c-1\right)}{a}}\,\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((A + B*x)/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)), x)","F"
34,0,-1,221,0.000000,"\text{Not used}","int((A + B*x)/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((A + B*x)/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
35,0,-1,281,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3,x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^3 \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3, x)","F"
36,0,-1,243,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2,x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^2 \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2, x)","F"
37,0,-1,193,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7),x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\left(5\,x+7\right) \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7), x)","F"
38,0,-1,162,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2),x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5} \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2), x)","F"
39,0,-1,182,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{5\,x+7} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7), x)","F"
40,0,-1,189,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^2,x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^2} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^2, x)","F"
41,0,-1,227,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^3,x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^3} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^3, x)","F"
42,0,-1,263,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^4,x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^4} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^4, x)","F"
43,0,-1,570,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2))/(a + b*x),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{c+d\,x}}{a+b\,x} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2))/(a + b*x), x)","F"
44,0,-1,243,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^3)/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,{\left(5\,x+7\right)}^3}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^3)/(2*x - 5)^(1/2), x)","F"
45,0,-1,205,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^2)/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,{\left(5\,x+7\right)}^2}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^2)/(2*x - 5)^(1/2), x)","F"
46,0,-1,162,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7))/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\left(5\,x+7\right)}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7))/(2*x - 5)^(1/2), x)","F"
47,0,-1,131,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/(2*x - 5)^(1/2), x)","F"
48,0,-1,151,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,\left(5\,x+7\right)} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)), x)","F"
49,0,-1,189,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^2} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^2), x)","F"
50,0,-1,225,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^3),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^3} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^3), x)","F"
51,0,-1,205,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7)^3)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,{\left(5\,x+7\right)}^3}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7)^3)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
52,0,-1,167,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7)^2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,{\left(5\,x+7\right)}^2}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7)^2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
53,0,-1,131,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,\left(5\,x+7\right)}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
54,0,-1,47,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
55,0,-1,103,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\left(5\,x+7\right)} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)), x)","F"
56,0,-1,189,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^2} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2), x)","F"
57,0,-1,225,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^3} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3), x)","F"
58,0,-1,293,0.000000,"\text{Not used}","int((c + d*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)),x)","\int \frac{\sqrt{c+d\,x}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c + d*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)), x)","F"
59,0,-1,449,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c + d*x)^(3/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)), x)","F"
60,0,-1,203,0.000000,"\text{Not used}","int((5*x + 7)^4/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{{\left(5\,x+7\right)}^4}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^4/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
61,0,-1,165,0.000000,"\text{Not used}","int((5*x + 7)^3/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{{\left(5\,x+7\right)}^3}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^3/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
62,0,-1,129,0.000000,"\text{Not used}","int((5*x + 7)^2/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{{\left(5\,x+7\right)}^2}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^2/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
63,0,-1,98,0.000000,"\text{Not used}","int((5*x + 7)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{5\,x+7}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
64,0,-1,48,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
65,0,-1,51,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\left(5\,x+7\right)} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)), x)","F"
66,0,-1,189,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^2} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^2), x)","F"
67,0,-1,225,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^3} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^3), x)","F"
68,0,-1,137,0.000000,"\text{Not used}","int((c*i + d*i*x)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{c\,i+d\,i\,x}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((c*i + d*i*x)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
69,0,-1,284,0.000000,"\text{Not used}","int((a + b*x)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{a+b\,x}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
70,0,-1,165,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
71,0,-1,393,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(3/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(3/2)), x)","F"
72,0,-1,875,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(5/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)*(c + d*x)^(5/2)), x)","F"
73,0,-1,74,0.000000,"\text{Not used}","int(1/((1 - f*x)^(1/2)*(f*x + 1)^(1/2)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{1-f\,x}\,\sqrt{f\,x+1}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((1 - f*x)^(1/2)*(f*x + 1)^(1/2)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
74,0,-1,74,0.000000,"\text{Not used}","int(1/((1 - f^2*x^2)^(1/2)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{1-f^2\,x^2}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((1 - f^2*x^2)^(1/2)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
75,0,-1,86,0.000000,"\text{Not used}","int(1/((a + b*x)*(1 - f^2*x)^(1/2)*(f^2*x + 1)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\left(a+b\,x\right)\,\sqrt{1-f^2\,x}\,\sqrt{x\,f^2+1}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((a + b*x)*(1 - f^2*x)^(1/2)*(f^2*x + 1)^(1/2)*(c + d*x)^(1/2)), x)","F"
76,0,-1,86,0.000000,"\text{Not used}","int(1/((1 - f^4*x^2)^(1/2)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{1-f^4\,x^2}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((1 - f^4*x^2)^(1/2)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
77,0,-1,471,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2),x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{5/2} \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2), x)","F"
78,0,-1,429,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2),x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{3/2} \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2), x)","F"
79,0,-1,391,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2),x)","\int \sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\sqrt{5\,x+7} \,d x","Not used",1,"int((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2), x)","F"
80,0,-1,351,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{\sqrt{5\,x+7}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(1/2), x)","F"
81,0,-1,349,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(3/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^{3/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(3/2), x)","F"
82,0,-1,391,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(5/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^{5/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(5/2), x)","F"
83,0,-1,330,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(7/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^{7/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(7/2), x)","F"
84,0,-1,370,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(9/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}}{{\left(5\,x+7\right)}^{9/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2))/(5*x + 7)^(9/2), x)","F"
85,0,-1,429,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(5/2))/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,{\left(5\,x+7\right)}^{5/2}}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(5/2))/(2*x - 5)^(1/2), x)","F"
86,0,-1,391,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(3/2))/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,{\left(5\,x+7\right)}^{3/2}}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(3/2))/(2*x - 5)^(1/2), x)","F"
87,0,-1,351,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(1/2))/(2*x - 5)^(1/2),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{5\,x+7}}{\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(5*x + 7)^(1/2))/(2*x - 5)^(1/2), x)","F"
88,0,-1,365,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,\sqrt{5\,x+7}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(1/2)), x)","F"
89,0,-1,279,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(3/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{3/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(3/2)), x)","F"
90,0,-1,290,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(5/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{5/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(5/2)), x)","F"
91,0,-1,330,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(7/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{7/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(7/2)), x)","F"
92,0,-1,370,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(9/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{4\,x+1}}{\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{9/2}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(4*x + 1)^(1/2))/((2*x - 5)^(1/2)*(5*x + 7)^(9/2)), x)","F"
93,0,-1,391,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7)^(5/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,{\left(5\,x+7\right)}^{5/2}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7)^(5/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
94,0,-1,351,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7)^(3/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,{\left(5\,x+7\right)}^{3/2}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7)^(3/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
95,0,-1,365,0.000000,"\text{Not used}","int(((2 - 3*x)^(1/2)*(5*x + 7)^(1/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}\,\sqrt{5\,x+7}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int(((2 - 3*x)^(1/2)*(5*x + 7)^(1/2))/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
96,0,-1,101,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2)),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\sqrt{5\,x+7}} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2)), x)","F"
97,0,-1,60,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2)),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{3/2}} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2)), x)","F"
98,0,-1,290,0.000000,"\text{Not used}","int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2)),x)","\int \frac{\sqrt{2-3\,x}}{\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{5/2}} \,d x","Not used",1,"int((2 - 3*x)^(1/2)/((4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2)), x)","F"
99,0,-1,721,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/((e + f*x)^(1/2)*(g + h*x)^(1/2)),x)","\int \frac{\sqrt{a+b\,x}\,\sqrt{c+d\,x}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/((e + f*x)^(1/2)*(g + h*x)^(1/2)), x)","F"
100,0,-1,161,0.000000,"\text{Not used}","int((c + d*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)),x)","\int \frac{\sqrt{c+d\,x}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)), x)","F"
101,0,-1,351,0.000000,"\text{Not used}","int((5*x + 7)^(5/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{{\left(5\,x+7\right)}^{5/2}}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^(5/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
102,0,-1,469,0.000000,"\text{Not used}","int((5*x + 7)^(3/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{{\left(5\,x+7\right)}^{3/2}}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^(3/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
103,0,-1,100,0.000000,"\text{Not used}","int((5*x + 7)^(1/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)),x)","\int \frac{\sqrt{5\,x+7}}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}} \,d x","Not used",1,"int((5*x + 7)^(1/2)/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)), x)","F"
104,0,-1,71,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,\sqrt{5\,x+7}} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(1/2)), x)","F"
105,0,-1,195,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{3/2}} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(3/2)), x)","F"
106,0,-1,288,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{4\,x+1}\,\sqrt{2\,x-5}\,{\left(5\,x+7\right)}^{5/2}} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(4*x + 1)^(1/2)*(2*x - 5)^(1/2)*(5*x + 7)^(5/2)), x)","F"
107,0,-1,968,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
108,0,-1,228,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{\sqrt{a+b\,x}}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(1/2)/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
109,0,-1,161,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
110,0,-1,429,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)), x)","F"
111,0,-1,786,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{g+h\,x}\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(g + h*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
112,0,-1,319,0.000000,"\text{Not used}","int((x^4*(e + f*x)^n)/((a + b*x)*(c + d*x)),x)","\int \frac{x^4\,{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((x^4*(e + f*x)^n)/((a + b*x)*(c + d*x)), x)","F"
113,0,-1,216,0.000000,"\text{Not used}","int((x^3*(e + f*x)^n)/((a + b*x)*(c + d*x)),x)","\int \frac{x^3\,{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((x^3*(e + f*x)^n)/((a + b*x)*(c + d*x)), x)","F"
114,0,-1,158,0.000000,"\text{Not used}","int((x^2*(e + f*x)^n)/((a + b*x)*(c + d*x)),x)","\int \frac{x^2\,{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((x^2*(e + f*x)^n)/((a + b*x)*(c + d*x)), x)","F"
115,0,-1,124,0.000000,"\text{Not used}","int((x*(e + f*x)^n)/((a + b*x)*(c + d*x)),x)","\int \frac{x\,{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((x*(e + f*x)^n)/((a + b*x)*(c + d*x)), x)","F"
116,0,-1,124,0.000000,"\text{Not used}","int((e + f*x)^n/((a + b*x)*(c + d*x)),x)","\int \frac{{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((e + f*x)^n/((a + b*x)*(c + d*x)), x)","F"
117,0,-1,175,0.000000,"\text{Not used}","int((e + f*x)^n/(x*(a + b*x)*(c + d*x)),x)","\int \frac{{\left(e+f\,x\right)}^n}{x\,\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((e + f*x)^n/(x*(a + b*x)*(c + d*x)), x)","F"
118,0,-1,222,0.000000,"\text{Not used}","int((e + f*x)^n/(x^2*(a + b*x)*(c + d*x)),x)","\int \frac{{\left(e+f\,x\right)}^n}{x^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((e + f*x)^n/(x^2*(a + b*x)*(c + d*x)), x)","F"
119,1,819,167,2.945463,"\text{Not used}","int((e + f*x)*(g + h*x)*(a + b*x)^m*(c + d*x),x)","\frac{x\,{\left(a+b\,x\right)}^m\,\left(24\,b^4\,c\,e\,g+9\,b^4\,c\,e\,g\,m^2+b^4\,c\,e\,g\,m^3+26\,b^4\,c\,e\,g\,m+12\,a\,b^3\,c\,e\,h\,m+12\,a\,b^3\,c\,f\,g\,m+12\,a\,b^3\,d\,e\,g\,m+6\,a^3\,b\,d\,f\,h\,m+7\,a\,b^3\,c\,e\,h\,m^2+7\,a\,b^3\,c\,f\,g\,m^2+7\,a\,b^3\,d\,e\,g\,m^2+a\,b^3\,c\,e\,h\,m^3+a\,b^3\,c\,f\,g\,m^3+a\,b^3\,d\,e\,g\,m^3-8\,a^2\,b^2\,c\,f\,h\,m-8\,a^2\,b^2\,d\,e\,h\,m-8\,a^2\,b^2\,d\,f\,g\,m-2\,a^2\,b^2\,c\,f\,h\,m^2-2\,a^2\,b^2\,d\,e\,h\,m^2-2\,a^2\,b^2\,d\,f\,g\,m^2\right)}{b^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(a+b\,x\right)}^m\,\left(6\,a^4\,d\,f\,h+12\,a^2\,b^2\,c\,e\,h+12\,a^2\,b^2\,c\,f\,g+12\,a^2\,b^2\,d\,e\,g-24\,a\,b^3\,c\,e\,g-8\,a^3\,b\,c\,f\,h-8\,a^3\,b\,d\,e\,h-8\,a^3\,b\,d\,f\,g-26\,a\,b^3\,c\,e\,g\,m-2\,a^3\,b\,c\,f\,h\,m-2\,a^3\,b\,d\,e\,h\,m-2\,a^3\,b\,d\,f\,g\,m-9\,a\,b^3\,c\,e\,g\,m^2-a\,b^3\,c\,e\,g\,m^3+7\,a^2\,b^2\,c\,e\,h\,m+7\,a^2\,b^2\,c\,f\,g\,m+7\,a^2\,b^2\,d\,e\,g\,m+a^2\,b^2\,c\,e\,h\,m^2+a^2\,b^2\,c\,f\,g\,m^2+a^2\,b^2\,d\,e\,g\,m^2\right)}{b^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(4\,b\,c\,f\,h+4\,b\,d\,e\,h+4\,b\,d\,f\,g+a\,d\,f\,h\,m+b\,c\,f\,h\,m+b\,d\,e\,h\,m+b\,d\,f\,g\,m\right)}{b\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^2\,\left(m+1\right)\,{\left(a+b\,x\right)}^m\,\left(12\,b^2\,c\,e\,h+12\,b^2\,c\,f\,g+12\,b^2\,d\,e\,g+b^2\,c\,e\,h\,m^2+b^2\,c\,f\,g\,m^2+b^2\,d\,e\,g\,m^2+7\,b^2\,c\,e\,h\,m+7\,b^2\,c\,f\,g\,m+7\,b^2\,d\,e\,g\,m-3\,a^2\,d\,f\,h\,m+a\,b\,c\,f\,h\,m^2+a\,b\,d\,e\,h\,m^2+a\,b\,d\,f\,g\,m^2+4\,a\,b\,c\,f\,h\,m+4\,a\,b\,d\,e\,h\,m+4\,a\,b\,d\,f\,g\,m\right)}{b^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{d\,f\,h\,x^4\,{\left(a+b\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}","Not used",1,"(x*(a + b*x)^m*(24*b^4*c*e*g + 9*b^4*c*e*g*m^2 + b^4*c*e*g*m^3 + 26*b^4*c*e*g*m + 12*a*b^3*c*e*h*m + 12*a*b^3*c*f*g*m + 12*a*b^3*d*e*g*m + 6*a^3*b*d*f*h*m + 7*a*b^3*c*e*h*m^2 + 7*a*b^3*c*f*g*m^2 + 7*a*b^3*d*e*g*m^2 + a*b^3*c*e*h*m^3 + a*b^3*c*f*g*m^3 + a*b^3*d*e*g*m^3 - 8*a^2*b^2*c*f*h*m - 8*a^2*b^2*d*e*h*m - 8*a^2*b^2*d*f*g*m - 2*a^2*b^2*c*f*h*m^2 - 2*a^2*b^2*d*e*h*m^2 - 2*a^2*b^2*d*f*g*m^2))/(b^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((a + b*x)^m*(6*a^4*d*f*h + 12*a^2*b^2*c*e*h + 12*a^2*b^2*c*f*g + 12*a^2*b^2*d*e*g - 24*a*b^3*c*e*g - 8*a^3*b*c*f*h - 8*a^3*b*d*e*h - 8*a^3*b*d*f*g - 26*a*b^3*c*e*g*m - 2*a^3*b*c*f*h*m - 2*a^3*b*d*e*h*m - 2*a^3*b*d*f*g*m - 9*a*b^3*c*e*g*m^2 - a*b^3*c*e*g*m^3 + 7*a^2*b^2*c*e*h*m + 7*a^2*b^2*c*f*g*m + 7*a^2*b^2*d*e*g*m + a^2*b^2*c*e*h*m^2 + a^2*b^2*c*f*g*m^2 + a^2*b^2*d*e*g*m^2))/(b^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^3*(a + b*x)^m*(3*m + m^2 + 2)*(4*b*c*f*h + 4*b*d*e*h + 4*b*d*f*g + a*d*f*h*m + b*c*f*h*m + b*d*e*h*m + b*d*f*g*m))/(b*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^2*(m + 1)*(a + b*x)^m*(12*b^2*c*e*h + 12*b^2*c*f*g + 12*b^2*d*e*g + b^2*c*e*h*m^2 + b^2*c*f*g*m^2 + b^2*d*e*g*m^2 + 7*b^2*c*e*h*m + 7*b^2*c*f*g*m + 7*b^2*d*e*g*m - 3*a^2*d*f*h*m + a*b*c*f*h*m^2 + a*b*d*e*h*m^2 + a*b*d*f*g*m^2 + 4*a*b*c*f*h*m + 4*a*b*d*e*h*m + 4*a*b*d*f*g*m))/(b^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (d*f*h*x^4*(a + b*x)^m*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24)","B"
120,0,-1,134,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^m*(c + d*x))/(g + h*x),x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^m\,\left(c+d\,x\right)}{g+h\,x} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^m*(c + d*x))/(g + h*x), x)","F"
121,0,-1,140,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x))/((e + f*x)*(g + h*x)),x)","\int \frac{{\left(a+b\,x\right)}^m\,\left(c+d\,x\right)}{\left(e+f\,x\right)\,\left(g+h\,x\right)} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x))/((e + f*x)*(g + h*x)), x)","F"
122,0,-1,224,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(g + h*x)*(c + d*x)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,\left(g+h\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(g + h*x)*(c + d*x)), x)","F"
123,0,-1,140,0.000000,"\text{Not used}","int((x^m*(e + f*x)^n)/((a + b*x)*(c + d*x)),x)","\int \frac{x^m\,{\left(e+f\,x\right)}^n}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((x^m*(e + f*x)^n)/((a + b*x)*(c + d*x)), x)","F"
124,0,-1,266,0.000000,"\text{Not used}","int((e + f*x)*(g + h*x)*(a + b*x)^m*(c + d*x)^n,x)","\int \left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)*(g + h*x)*(a + b*x)^m*(c + d*x)^n, x)","F"
125,0,-1,245,0.000000,"\text{Not used}","int((e + f*x)*(g + h*x)*(a + b*x)^m*(c + d*x)^(1 - m),x)","\int \left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((e + f*x)*(g + h*x)*(a + b*x)^m*(c + d*x)^(1 - m), x)","F"
126,0,-1,235,0.000000,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^m,x)","\int \frac{\left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^m, x)","F"
127,0,-1,261,0.000000,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 1),x)","\int \frac{\left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 1), x)","F"
128,0,-1,203,0.000000,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 2),x)","\int \frac{\left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 2), x)","F"
129,0,-1,246,0.000000,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 3),x)","\int \frac{\left(e+f\,x\right)\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+3}} \,d x","Not used",1,"int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 3), x)","F"
130,1,1895,362,4.487075,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 4),x)","-\frac{{\left(a+b\,x\right)}^m\,\left(2\,a^3\,c^3\,f\,h+6\,a\,b^2\,c^3\,e\,g-3\,a^2\,b\,c^3\,e\,h-3\,a^2\,b\,c^3\,f\,g+2\,a^3\,c\,d^2\,e\,g+a^3\,c^2\,d\,e\,h+a^3\,c^2\,d\,f\,g-6\,a^2\,b\,c^2\,d\,e\,g+5\,a\,b^2\,c^3\,e\,g\,m-a^2\,b\,c^3\,e\,h\,m-a^2\,b\,c^3\,f\,g\,m+3\,a^3\,c\,d^2\,e\,g\,m+a^3\,c^2\,d\,e\,h\,m+a^3\,c^2\,d\,f\,g\,m+a\,b^2\,c^3\,e\,g\,m^2+a^3\,c\,d^2\,e\,g\,m^2-2\,a^2\,b\,c^2\,d\,e\,g\,m^2-8\,a^2\,b\,c^2\,d\,e\,g\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(6\,a^3\,d^3\,f\,h+2\,b^3\,c^3\,f\,h+8\,b^3\,c\,d^2\,e\,g+4\,b^3\,c^2\,d\,e\,h+4\,b^3\,c^2\,d\,f\,g+5\,a^3\,d^3\,f\,h\,m+3\,b^3\,c^3\,f\,h\,m+a^3\,d^3\,f\,h\,m^2+b^3\,c^3\,f\,h\,m^2-12\,a\,b^2\,c\,d^2\,e\,h-12\,a\,b^2\,c\,d^2\,f\,g-6\,a\,b^2\,c^2\,d\,f\,h+6\,a^2\,b\,c\,d^2\,f\,h-2\,a\,b^2\,d^3\,e\,g\,m+3\,a^2\,b\,d^3\,e\,h\,m+3\,a^2\,b\,d^3\,f\,g\,m+2\,b^3\,c\,d^2\,e\,g\,m+5\,b^3\,c^2\,d\,e\,h\,m+5\,b^3\,c^2\,d\,f\,g\,m+a^2\,b\,d^3\,e\,h\,m^2+a^2\,b\,d^3\,f\,g\,m^2+b^3\,c^2\,d\,e\,h\,m^2+b^3\,c^2\,d\,f\,g\,m^2-2\,a\,b^2\,c\,d^2\,e\,h\,m^2-2\,a\,b^2\,c\,d^2\,f\,g\,m^2-a\,b^2\,c^2\,d\,f\,h\,m^2-a^2\,b\,c\,d^2\,f\,h\,m^2-8\,a\,b^2\,c\,d^2\,e\,h\,m-8\,a\,b^2\,c\,d^2\,f\,g\,m-7\,a\,b^2\,c^2\,d\,f\,h\,m-a^2\,b\,c\,d^2\,f\,h\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(2\,a^3\,d^3\,e\,g+6\,b^3\,c^3\,e\,g+4\,a^3\,c\,d^2\,e\,h+4\,a^3\,c\,d^2\,f\,g+8\,a^3\,c^2\,d\,f\,h+3\,a^3\,d^3\,e\,g\,m+5\,b^3\,c^3\,e\,g\,m+a^3\,d^3\,e\,g\,m^2+b^3\,c^3\,e\,g\,m^2+6\,a\,b^2\,c^2\,d\,e\,g-6\,a^2\,b\,c\,d^2\,e\,g-12\,a^2\,b\,c^2\,d\,e\,h-12\,a^2\,b\,c^2\,d\,f\,g+3\,a\,b^2\,c^3\,e\,h\,m+3\,a\,b^2\,c^3\,f\,g\,m-2\,a^2\,b\,c^3\,f\,h\,m+5\,a^3\,c\,d^2\,e\,h\,m+5\,a^3\,c\,d^2\,f\,g\,m+2\,a^3\,c^2\,d\,f\,h\,m+a\,b^2\,c^3\,e\,h\,m^2+a\,b^2\,c^3\,f\,g\,m^2+a^3\,c\,d^2\,e\,h\,m^2+a^3\,c\,d^2\,f\,g\,m^2-a\,b^2\,c^2\,d\,e\,g\,m^2-a^2\,b\,c\,d^2\,e\,g\,m^2-2\,a^2\,b\,c^2\,d\,e\,h\,m^2-2\,a^2\,b\,c^2\,d\,f\,g\,m^2-a\,b^2\,c^2\,d\,e\,g\,m-7\,a^2\,b\,c\,d^2\,e\,g\,m-8\,a^2\,b\,c^2\,d\,e\,h\,m-8\,a^2\,b\,c^2\,d\,f\,g\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(3\,a^3\,d^3\,e\,h+3\,a^3\,d^3\,f\,g+3\,b^3\,c^3\,e\,h+3\,b^3\,c^3\,f\,g+12\,b^3\,c^2\,d\,e\,g+12\,a^3\,c\,d^2\,f\,h+4\,a^3\,d^3\,e\,h\,m+4\,a^3\,d^3\,f\,g\,m+4\,b^3\,c^3\,e\,h\,m+4\,b^3\,c^3\,f\,g\,m+a^3\,d^3\,e\,h\,m^2+a^3\,d^3\,f\,g\,m^2+b^3\,c^3\,e\,h\,m^2+b^3\,c^3\,f\,g\,m^2-9\,a\,b^2\,c^2\,d\,e\,h-9\,a\,b^2\,c^2\,d\,f\,g-9\,a^2\,b\,c\,d^2\,e\,h-9\,a^2\,b\,c\,d^2\,f\,g+a^2\,b\,d^3\,e\,g\,m+a\,b^2\,c^3\,f\,h\,m+7\,b^3\,c^2\,d\,e\,g\,m+7\,a^3\,c\,d^2\,f\,h\,m+a^2\,b\,d^3\,e\,g\,m^2+a\,b^2\,c^3\,f\,h\,m^2+b^3\,c^2\,d\,e\,g\,m^2+a^3\,c\,d^2\,f\,h\,m^2-2\,a\,b^2\,c\,d^2\,e\,g\,m^2-a\,b^2\,c^2\,d\,e\,h\,m^2-a\,b^2\,c^2\,d\,f\,g\,m^2-a^2\,b\,c\,d^2\,e\,h\,m^2-a^2\,b\,c\,d^2\,f\,g\,m^2-2\,a^2\,b\,c^2\,d\,f\,h\,m^2-8\,a\,b^2\,c\,d^2\,e\,g\,m-4\,a\,b^2\,c^2\,d\,e\,h\,m-4\,a\,b^2\,c^2\,d\,f\,g\,m-4\,a^2\,b\,c\,d^2\,e\,h\,m-4\,a^2\,b\,c\,d^2\,f\,g\,m-8\,a^2\,b\,c^2\,d\,f\,h\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x^4\,{\left(a+b\,x\right)}^m\,\left(2\,b^3\,d^3\,e\,g-3\,a\,b^2\,d^3\,e\,h-3\,a\,b^2\,d^3\,f\,g+6\,a^2\,b\,d^3\,f\,h+b^3\,c\,d^2\,e\,h+b^3\,c\,d^2\,f\,g+2\,b^3\,c^2\,d\,f\,h-6\,a\,b^2\,c\,d^2\,f\,h-a\,b^2\,d^3\,e\,h\,m-a\,b^2\,d^3\,f\,g\,m+5\,a^2\,b\,d^3\,f\,h\,m+b^3\,c\,d^2\,e\,h\,m+b^3\,c\,d^2\,f\,g\,m+3\,b^3\,c^2\,d\,f\,h\,m+a^2\,b\,d^3\,f\,h\,m^2+b^3\,c^2\,d\,f\,h\,m^2-2\,a\,b^2\,c\,d^2\,f\,h\,m^2-8\,a\,b^2\,c\,d^2\,f\,h\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"- ((a + b*x)^m*(2*a^3*c^3*f*h + 6*a*b^2*c^3*e*g - 3*a^2*b*c^3*e*h - 3*a^2*b*c^3*f*g + 2*a^3*c*d^2*e*g + a^3*c^2*d*e*h + a^3*c^2*d*f*g - 6*a^2*b*c^2*d*e*g + 5*a*b^2*c^3*e*g*m - a^2*b*c^3*e*h*m - a^2*b*c^3*f*g*m + 3*a^3*c*d^2*e*g*m + a^3*c^2*d*e*h*m + a^3*c^2*d*f*g*m + a*b^2*c^3*e*g*m^2 + a^3*c*d^2*e*g*m^2 - 2*a^2*b*c^2*d*e*g*m^2 - 8*a^2*b*c^2*d*e*g*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x^3*(a + b*x)^m*(6*a^3*d^3*f*h + 2*b^3*c^3*f*h + 8*b^3*c*d^2*e*g + 4*b^3*c^2*d*e*h + 4*b^3*c^2*d*f*g + 5*a^3*d^3*f*h*m + 3*b^3*c^3*f*h*m + a^3*d^3*f*h*m^2 + b^3*c^3*f*h*m^2 - 12*a*b^2*c*d^2*e*h - 12*a*b^2*c*d^2*f*g - 6*a*b^2*c^2*d*f*h + 6*a^2*b*c*d^2*f*h - 2*a*b^2*d^3*e*g*m + 3*a^2*b*d^3*e*h*m + 3*a^2*b*d^3*f*g*m + 2*b^3*c*d^2*e*g*m + 5*b^3*c^2*d*e*h*m + 5*b^3*c^2*d*f*g*m + a^2*b*d^3*e*h*m^2 + a^2*b*d^3*f*g*m^2 + b^3*c^2*d*e*h*m^2 + b^3*c^2*d*f*g*m^2 - 2*a*b^2*c*d^2*e*h*m^2 - 2*a*b^2*c*d^2*f*g*m^2 - a*b^2*c^2*d*f*h*m^2 - a^2*b*c*d^2*f*h*m^2 - 8*a*b^2*c*d^2*e*h*m - 8*a*b^2*c*d^2*f*g*m - 7*a*b^2*c^2*d*f*h*m - a^2*b*c*d^2*f*h*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x*(a + b*x)^m*(2*a^3*d^3*e*g + 6*b^3*c^3*e*g + 4*a^3*c*d^2*e*h + 4*a^3*c*d^2*f*g + 8*a^3*c^2*d*f*h + 3*a^3*d^3*e*g*m + 5*b^3*c^3*e*g*m + a^3*d^3*e*g*m^2 + b^3*c^3*e*g*m^2 + 6*a*b^2*c^2*d*e*g - 6*a^2*b*c*d^2*e*g - 12*a^2*b*c^2*d*e*h - 12*a^2*b*c^2*d*f*g + 3*a*b^2*c^3*e*h*m + 3*a*b^2*c^3*f*g*m - 2*a^2*b*c^3*f*h*m + 5*a^3*c*d^2*e*h*m + 5*a^3*c*d^2*f*g*m + 2*a^3*c^2*d*f*h*m + a*b^2*c^3*e*h*m^2 + a*b^2*c^3*f*g*m^2 + a^3*c*d^2*e*h*m^2 + a^3*c*d^2*f*g*m^2 - a*b^2*c^2*d*e*g*m^2 - a^2*b*c*d^2*e*g*m^2 - 2*a^2*b*c^2*d*e*h*m^2 - 2*a^2*b*c^2*d*f*g*m^2 - a*b^2*c^2*d*e*g*m - 7*a^2*b*c*d^2*e*g*m - 8*a^2*b*c^2*d*e*h*m - 8*a^2*b*c^2*d*f*g*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x^2*(a + b*x)^m*(3*a^3*d^3*e*h + 3*a^3*d^3*f*g + 3*b^3*c^3*e*h + 3*b^3*c^3*f*g + 12*b^3*c^2*d*e*g + 12*a^3*c*d^2*f*h + 4*a^3*d^3*e*h*m + 4*a^3*d^3*f*g*m + 4*b^3*c^3*e*h*m + 4*b^3*c^3*f*g*m + a^3*d^3*e*h*m^2 + a^3*d^3*f*g*m^2 + b^3*c^3*e*h*m^2 + b^3*c^3*f*g*m^2 - 9*a*b^2*c^2*d*e*h - 9*a*b^2*c^2*d*f*g - 9*a^2*b*c*d^2*e*h - 9*a^2*b*c*d^2*f*g + a^2*b*d^3*e*g*m + a*b^2*c^3*f*h*m + 7*b^3*c^2*d*e*g*m + 7*a^3*c*d^2*f*h*m + a^2*b*d^3*e*g*m^2 + a*b^2*c^3*f*h*m^2 + b^3*c^2*d*e*g*m^2 + a^3*c*d^2*f*h*m^2 - 2*a*b^2*c*d^2*e*g*m^2 - a*b^2*c^2*d*e*h*m^2 - a*b^2*c^2*d*f*g*m^2 - a^2*b*c*d^2*e*h*m^2 - a^2*b*c*d^2*f*g*m^2 - 2*a^2*b*c^2*d*f*h*m^2 - 8*a*b^2*c*d^2*e*g*m - 4*a*b^2*c^2*d*e*h*m - 4*a*b^2*c^2*d*f*g*m - 4*a^2*b*c*d^2*e*h*m - 4*a^2*b*c*d^2*f*g*m - 8*a^2*b*c^2*d*f*h*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x^4*(a + b*x)^m*(2*b^3*d^3*e*g - 3*a*b^2*d^3*e*h - 3*a*b^2*d^3*f*g + 6*a^2*b*d^3*f*h + b^3*c*d^2*e*h + b^3*c*d^2*f*g + 2*b^3*c^2*d*f*h - 6*a*b^2*c*d^2*f*h - a*b^2*d^3*e*h*m - a*b^2*d^3*f*g*m + 5*a^2*b*d^3*f*h*m + b^3*c*d^2*e*h*m + b^3*c*d^2*f*g*m + 3*b^3*c^2*d*f*h*m + a^2*b*d^3*f*h*m^2 + b^3*c^2*d*f*h*m^2 - 2*a*b^2*c*d^2*f*h*m^2 - 8*a*b^2*c*d^2*f*h*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
131,1,3720,507,6.751721,"\text{Not used}","int(((e + f*x)*(g + h*x)*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\frac{x^5\,{\left(a+b\,x\right)}^m\,\left(6\,b^4\,d^4\,e\,g-8\,a\,b^3\,d^4\,e\,h-8\,a\,b^3\,d^4\,f\,g+2\,b^4\,c\,d^3\,e\,h+2\,b^4\,c\,d^3\,f\,g+12\,a^2\,b^2\,d^4\,f\,h+2\,b^4\,c^2\,d^2\,f\,h+a^2\,b^2\,d^4\,f\,h\,m^2+b^4\,c^2\,d^2\,f\,h\,m^2-8\,a\,b^3\,c\,d^3\,f\,h-2\,a\,b^3\,d^4\,e\,h\,m-2\,a\,b^3\,d^4\,f\,g\,m+2\,b^4\,c\,d^3\,e\,h\,m+2\,b^4\,c\,d^3\,f\,g\,m+7\,a^2\,b^2\,d^4\,f\,h\,m+3\,b^4\,c^2\,d^2\,f\,h\,m-2\,a\,b^3\,c\,d^3\,f\,h\,m^2-10\,a\,b^3\,c\,d^3\,f\,h\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(6\,a^4\,d^4\,e\,g-24\,b^4\,c^4\,e\,g+10\,a^4\,c\,d^3\,e\,h+10\,a^4\,c\,d^3\,f\,g+11\,a^4\,d^4\,e\,g\,m-26\,b^4\,c^4\,e\,g\,m+10\,a^4\,c^2\,d^2\,f\,h+6\,a^4\,d^4\,e\,g\,m^2-9\,b^4\,c^4\,e\,g\,m^2+a^4\,d^4\,e\,g\,m^3-b^4\,c^4\,e\,g\,m^3+36\,a^2\,b^2\,c^2\,d^2\,e\,g+2\,a^2\,b^2\,c^4\,f\,h\,m^2+2\,a^4\,c^2\,d^2\,f\,h\,m^2-24\,a\,b^3\,c^3\,d\,e\,g-24\,a^3\,b\,c\,d^3\,e\,g-40\,a^3\,b\,c^3\,d\,f\,h-12\,a\,b^3\,c^4\,e\,h\,m-12\,a\,b^3\,c^4\,f\,g\,m+17\,a^4\,c\,d^3\,e\,h\,m+17\,a^4\,c\,d^3\,f\,g\,m+60\,a^2\,b^2\,c^3\,d\,e\,h+60\,a^2\,b^2\,c^3\,d\,f\,g-40\,a^3\,b\,c^2\,d^2\,e\,h-40\,a^3\,b\,c^2\,d^2\,f\,g-7\,a\,b^3\,c^4\,e\,h\,m^2-7\,a\,b^3\,c^4\,f\,g\,m^2-a\,b^3\,c^4\,e\,h\,m^3-a\,b^3\,c^4\,f\,g\,m^3+8\,a^2\,b^2\,c^4\,f\,h\,m+8\,a^4\,c\,d^3\,e\,h\,m^2+8\,a^4\,c\,d^3\,f\,g\,m^2+a^4\,c\,d^3\,e\,h\,m^3+a^4\,c\,d^3\,f\,g\,m^3+12\,a^4\,c^2\,d^2\,f\,h\,m+12\,a\,b^3\,c^3\,d\,e\,g\,m^2-18\,a^3\,b\,c\,d^3\,e\,g\,m^2+2\,a\,b^3\,c^3\,d\,e\,g\,m^3-2\,a^3\,b\,c\,d^3\,e\,g\,m^3+55\,a^2\,b^2\,c^3\,d\,e\,h\,m+55\,a^2\,b^2\,c^3\,d\,f\,g\,m-60\,a^3\,b\,c^2\,d^2\,e\,h\,m-60\,a^3\,b\,c^2\,d^2\,f\,g\,m-4\,a^3\,b\,c^3\,d\,f\,h\,m^2+45\,a^2\,b^2\,c^2\,d^2\,e\,g\,m+22\,a^2\,b^2\,c^3\,d\,e\,h\,m^2+22\,a^2\,b^2\,c^3\,d\,f\,g\,m^2-23\,a^3\,b\,c^2\,d^2\,e\,h\,m^2-23\,a^3\,b\,c^2\,d^2\,f\,g\,m^2+3\,a^2\,b^2\,c^3\,d\,e\,h\,m^3+3\,a^2\,b^2\,c^3\,d\,f\,g\,m^3-3\,a^3\,b\,c^2\,d^2\,e\,h\,m^3-3\,a^3\,b\,c^2\,d^2\,f\,g\,m^3+10\,a\,b^3\,c^3\,d\,e\,g\,m-40\,a^3\,b\,c\,d^3\,e\,g\,m-20\,a^3\,b\,c^3\,d\,f\,h\,m+9\,a^2\,b^2\,c^2\,d^2\,e\,g\,m^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(a+b\,x\right)}^m\,\left(6\,a^4\,c\,d^3\,e\,g-8\,a^3\,b\,c^4\,f\,h-24\,a\,b^3\,c^4\,e\,g+2\,a^4\,c^3\,d\,f\,h+12\,a^2\,b^2\,c^4\,e\,h+12\,a^2\,b^2\,c^4\,f\,g+2\,a^4\,c^2\,d^2\,e\,h+2\,a^4\,c^2\,d^2\,f\,g+a^2\,b^2\,c^4\,e\,h\,m^2+a^2\,b^2\,c^4\,f\,g\,m^2+a^4\,c^2\,d^2\,e\,h\,m^2+a^4\,c^2\,d^2\,f\,g\,m^2-8\,a^3\,b\,c^3\,d\,e\,h-8\,a^3\,b\,c^3\,d\,f\,g-26\,a\,b^3\,c^4\,e\,g\,m-2\,a^3\,b\,c^4\,f\,h\,m+11\,a^4\,c\,d^3\,e\,g\,m+2\,a^4\,c^3\,d\,f\,h\,m+36\,a^2\,b^2\,c^3\,d\,e\,g-24\,a^3\,b\,c^2\,d^2\,e\,g-9\,a\,b^3\,c^4\,e\,g\,m^2-a\,b^3\,c^4\,e\,g\,m^3+7\,a^2\,b^2\,c^4\,e\,h\,m+7\,a^2\,b^2\,c^4\,f\,g\,m+6\,a^4\,c\,d^3\,e\,g\,m^2+a^4\,c\,d^3\,e\,g\,m^3+3\,a^4\,c^2\,d^2\,e\,h\,m+3\,a^4\,c^2\,d^2\,f\,g\,m+57\,a^2\,b^2\,c^3\,d\,e\,g\,m-42\,a^3\,b\,c^2\,d^2\,e\,g\,m-2\,a^3\,b\,c^3\,d\,e\,h\,m^2-2\,a^3\,b\,c^3\,d\,f\,g\,m^2+24\,a^2\,b^2\,c^3\,d\,e\,g\,m^2-21\,a^3\,b\,c^2\,d^2\,e\,g\,m^2+3\,a^2\,b^2\,c^3\,d\,e\,g\,m^3-3\,a^3\,b\,c^2\,d^2\,e\,g\,m^3-10\,a^3\,b\,c^3\,d\,e\,h\,m-10\,a^3\,b\,c^3\,d\,f\,g\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(8\,b^4\,c^4\,f\,h-12\,a^4\,d^4\,f\,h+20\,b^4\,c^3\,d\,e\,h+20\,b^4\,c^3\,d\,f\,g-19\,a^4\,d^4\,f\,h\,m+14\,b^4\,c^4\,f\,h\,m+60\,b^4\,c^2\,d^2\,e\,g-8\,a^4\,d^4\,f\,h\,m^2+7\,b^4\,c^4\,f\,h\,m^2-a^4\,d^4\,f\,h\,m^3+b^4\,c^4\,f\,h\,m^3+48\,a^2\,b^2\,c^2\,d^2\,f\,h+3\,a^2\,b^2\,d^4\,e\,g\,m^2+3\,b^4\,c^2\,d^2\,e\,g\,m^2-32\,a\,b^3\,c^3\,d\,f\,h+48\,a^3\,b\,c\,d^3\,f\,h-4\,a^3\,b\,d^4\,e\,h\,m-4\,a^3\,b\,d^4\,f\,g\,m+29\,b^4\,c^3\,d\,e\,h\,m+29\,b^4\,c^3\,d\,f\,g\,m-80\,a\,b^3\,c^2\,d^2\,e\,h-80\,a\,b^3\,c^2\,d^2\,f\,g+3\,a^2\,b^2\,d^4\,e\,g\,m-5\,a^3\,b\,d^4\,e\,h\,m^2-5\,a^3\,b\,d^4\,f\,g\,m^2-a^3\,b\,d^4\,e\,h\,m^3-a^3\,b\,d^4\,f\,g\,m^3+27\,b^4\,c^2\,d^2\,e\,g\,m+10\,b^4\,c^3\,d\,e\,h\,m^2+10\,b^4\,c^3\,d\,f\,g\,m^2+b^4\,c^3\,d\,e\,h\,m^3+b^4\,c^3\,d\,f\,g\,m^3+3\,a^2\,b^2\,c^2\,d^2\,f\,h\,m^2-6\,a\,b^3\,c\,d^3\,e\,g\,m^2-66\,a\,b^3\,c^2\,d^2\,e\,h\,m-66\,a\,b^3\,c^2\,d^2\,f\,g\,m+41\,a^2\,b^2\,c\,d^3\,e\,h\,m+41\,a^2\,b^2\,c\,d^3\,f\,g\,m-16\,a\,b^3\,c^3\,d\,f\,h\,m^2+14\,a^3\,b\,c\,d^3\,f\,h\,m^2-2\,a\,b^3\,c^3\,d\,f\,h\,m^3+2\,a^3\,b\,c\,d^3\,f\,h\,m^3-25\,a\,b^3\,c^2\,d^2\,e\,h\,m^2-25\,a\,b^3\,c^2\,d^2\,f\,g\,m^2+20\,a^2\,b^2\,c\,d^3\,e\,h\,m^2+20\,a^2\,b^2\,c\,d^3\,f\,g\,m^2-3\,a\,b^3\,c^2\,d^2\,e\,h\,m^3-3\,a\,b^3\,c^2\,d^2\,f\,g\,m^3+3\,a^2\,b^2\,c\,d^3\,e\,h\,m^3+3\,a^2\,b^2\,c\,d^3\,f\,g\,m^3+15\,a^2\,b^2\,c^2\,d^2\,f\,h\,m-30\,a\,b^3\,c\,d^3\,e\,g\,m-46\,a\,b^3\,c^3\,d\,f\,h\,m+36\,a^3\,b\,c\,d^3\,f\,h\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(8\,a^4\,d^4\,e\,h+8\,a^4\,d^4\,f\,g-12\,b^4\,c^4\,e\,h-12\,b^4\,c^4\,f\,g-60\,b^4\,c^3\,d\,e\,g+20\,a^4\,c\,d^3\,f\,h+14\,a^4\,d^4\,e\,h\,m+14\,a^4\,d^4\,f\,g\,m-19\,b^4\,c^4\,e\,h\,m-19\,b^4\,c^4\,f\,g\,m+7\,a^4\,d^4\,e\,h\,m^2+7\,a^4\,d^4\,f\,g\,m^2-8\,b^4\,c^4\,e\,h\,m^2-8\,b^4\,c^4\,f\,g\,m^2+a^4\,d^4\,e\,h\,m^3+a^4\,d^4\,f\,g\,m^3-b^4\,c^4\,e\,h\,m^3-b^4\,c^4\,f\,g\,m^3+48\,a^2\,b^2\,c^2\,d^2\,e\,h+48\,a^2\,b^2\,c^2\,d^2\,f\,g+48\,a\,b^3\,c^3\,d\,e\,h+48\,a\,b^3\,c^3\,d\,f\,g-32\,a^3\,b\,c\,d^3\,e\,h-32\,a^3\,b\,c\,d^3\,f\,g+2\,a^3\,b\,d^4\,e\,g\,m-4\,a\,b^3\,c^4\,f\,h\,m-47\,b^4\,c^3\,d\,e\,g\,m+29\,a^4\,c\,d^3\,f\,h\,m-80\,a^3\,b\,c^2\,d^2\,f\,h+3\,a^3\,b\,d^4\,e\,g\,m^2+a^3\,b\,d^4\,e\,g\,m^3-5\,a\,b^3\,c^4\,f\,h\,m^2-a\,b^3\,c^4\,f\,h\,m^3-12\,b^4\,c^3\,d\,e\,g\,m^2-b^4\,c^3\,d\,e\,g\,m^3+10\,a^4\,c\,d^3\,f\,h\,m^2+a^4\,c\,d^3\,f\,h\,m^3+3\,a^2\,b^2\,c^2\,d^2\,e\,h\,m^2+3\,a^2\,b^2\,c^2\,d^2\,f\,g\,m^2+60\,a\,b^3\,c^2\,d^2\,e\,g\,m-15\,a^2\,b^2\,c\,d^3\,e\,g\,m+14\,a\,b^3\,c^3\,d\,e\,h\,m^2+14\,a\,b^3\,c^3\,d\,f\,g\,m^2-16\,a^3\,b\,c\,d^3\,e\,h\,m^2-16\,a^3\,b\,c\,d^3\,f\,g\,m^2+2\,a\,b^3\,c^3\,d\,e\,h\,m^3+2\,a\,b^3\,c^3\,d\,f\,g\,m^3-2\,a^3\,b\,c\,d^3\,e\,h\,m^3-2\,a^3\,b\,c\,d^3\,f\,g\,m^3+41\,a^2\,b^2\,c^3\,d\,f\,h\,m-66\,a^3\,b\,c^2\,d^2\,f\,h\,m+27\,a\,b^3\,c^2\,d^2\,e\,g\,m^2-18\,a^2\,b^2\,c\,d^3\,e\,g\,m^2+3\,a\,b^3\,c^2\,d^2\,e\,g\,m^3-3\,a^2\,b^2\,c\,d^3\,e\,g\,m^3+15\,a^2\,b^2\,c^2\,d^2\,e\,h\,m+15\,a^2\,b^2\,c^2\,d^2\,f\,g\,m+20\,a^2\,b^2\,c^3\,d\,f\,h\,m^2-25\,a^3\,b\,c^2\,d^2\,f\,h\,m^2+3\,a^2\,b^2\,c^3\,d\,f\,h\,m^3-3\,a^3\,b\,c^2\,d^2\,f\,h\,m^3+36\,a\,b^3\,c^3\,d\,e\,h\,m+36\,a\,b^3\,c^3\,d\,f\,g\,m-46\,a^3\,b\,c\,d^3\,e\,h\,m-46\,a^3\,b\,c\,d^3\,f\,g\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b\,d\,x^4\,{\left(a+b\,x\right)}^m\,\left(5\,b\,c-a\,d\,m+b\,c\,m\right)\,\left(6\,b^2\,d^2\,e\,g+12\,a^2\,d^2\,f\,h+2\,b^2\,c^2\,f\,h+7\,a^2\,d^2\,f\,h\,m+3\,b^2\,c^2\,f\,h\,m+a^2\,d^2\,f\,h\,m^2+b^2\,c^2\,f\,h\,m^2-8\,a\,b\,d^2\,e\,h-8\,a\,b\,d^2\,f\,g+2\,b^2\,c\,d\,e\,h+2\,b^2\,c\,d\,f\,g-2\,a\,b\,d^2\,e\,h\,m-2\,a\,b\,d^2\,f\,g\,m+2\,b^2\,c\,d\,e\,h\,m+2\,b^2\,c\,d\,f\,g\,m-8\,a\,b\,c\,d\,f\,h-10\,a\,b\,c\,d\,f\,h\,m-2\,a\,b\,c\,d\,f\,h\,m^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x^5*(a + b*x)^m*(6*b^4*d^4*e*g - 8*a*b^3*d^4*e*h - 8*a*b^3*d^4*f*g + 2*b^4*c*d^3*e*h + 2*b^4*c*d^3*f*g + 12*a^2*b^2*d^4*f*h + 2*b^4*c^2*d^2*f*h + a^2*b^2*d^4*f*h*m^2 + b^4*c^2*d^2*f*h*m^2 - 8*a*b^3*c*d^3*f*h - 2*a*b^3*d^4*e*h*m - 2*a*b^3*d^4*f*g*m + 2*b^4*c*d^3*e*h*m + 2*b^4*c*d^3*f*g*m + 7*a^2*b^2*d^4*f*h*m + 3*b^4*c^2*d^2*f*h*m - 2*a*b^3*c*d^3*f*h*m^2 - 10*a*b^3*c*d^3*f*h*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x*(a + b*x)^m*(6*a^4*d^4*e*g - 24*b^4*c^4*e*g + 10*a^4*c*d^3*e*h + 10*a^4*c*d^3*f*g + 11*a^4*d^4*e*g*m - 26*b^4*c^4*e*g*m + 10*a^4*c^2*d^2*f*h + 6*a^4*d^4*e*g*m^2 - 9*b^4*c^4*e*g*m^2 + a^4*d^4*e*g*m^3 - b^4*c^4*e*g*m^3 + 36*a^2*b^2*c^2*d^2*e*g + 2*a^2*b^2*c^4*f*h*m^2 + 2*a^4*c^2*d^2*f*h*m^2 - 24*a*b^3*c^3*d*e*g - 24*a^3*b*c*d^3*e*g - 40*a^3*b*c^3*d*f*h - 12*a*b^3*c^4*e*h*m - 12*a*b^3*c^4*f*g*m + 17*a^4*c*d^3*e*h*m + 17*a^4*c*d^3*f*g*m + 60*a^2*b^2*c^3*d*e*h + 60*a^2*b^2*c^3*d*f*g - 40*a^3*b*c^2*d^2*e*h - 40*a^3*b*c^2*d^2*f*g - 7*a*b^3*c^4*e*h*m^2 - 7*a*b^3*c^4*f*g*m^2 - a*b^3*c^4*e*h*m^3 - a*b^3*c^4*f*g*m^3 + 8*a^2*b^2*c^4*f*h*m + 8*a^4*c*d^3*e*h*m^2 + 8*a^4*c*d^3*f*g*m^2 + a^4*c*d^3*e*h*m^3 + a^4*c*d^3*f*g*m^3 + 12*a^4*c^2*d^2*f*h*m + 12*a*b^3*c^3*d*e*g*m^2 - 18*a^3*b*c*d^3*e*g*m^2 + 2*a*b^3*c^3*d*e*g*m^3 - 2*a^3*b*c*d^3*e*g*m^3 + 55*a^2*b^2*c^3*d*e*h*m + 55*a^2*b^2*c^3*d*f*g*m - 60*a^3*b*c^2*d^2*e*h*m - 60*a^3*b*c^2*d^2*f*g*m - 4*a^3*b*c^3*d*f*h*m^2 + 45*a^2*b^2*c^2*d^2*e*g*m + 22*a^2*b^2*c^3*d*e*h*m^2 + 22*a^2*b^2*c^3*d*f*g*m^2 - 23*a^3*b*c^2*d^2*e*h*m^2 - 23*a^3*b*c^2*d^2*f*g*m^2 + 3*a^2*b^2*c^3*d*e*h*m^3 + 3*a^2*b^2*c^3*d*f*g*m^3 - 3*a^3*b*c^2*d^2*e*h*m^3 - 3*a^3*b*c^2*d^2*f*g*m^3 + 10*a*b^3*c^3*d*e*g*m - 40*a^3*b*c*d^3*e*g*m - 20*a^3*b*c^3*d*f*h*m + 9*a^2*b^2*c^2*d^2*e*g*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((a + b*x)^m*(6*a^4*c*d^3*e*g - 8*a^3*b*c^4*f*h - 24*a*b^3*c^4*e*g + 2*a^4*c^3*d*f*h + 12*a^2*b^2*c^4*e*h + 12*a^2*b^2*c^4*f*g + 2*a^4*c^2*d^2*e*h + 2*a^4*c^2*d^2*f*g + a^2*b^2*c^4*e*h*m^2 + a^2*b^2*c^4*f*g*m^2 + a^4*c^2*d^2*e*h*m^2 + a^4*c^2*d^2*f*g*m^2 - 8*a^3*b*c^3*d*e*h - 8*a^3*b*c^3*d*f*g - 26*a*b^3*c^4*e*g*m - 2*a^3*b*c^4*f*h*m + 11*a^4*c*d^3*e*g*m + 2*a^4*c^3*d*f*h*m + 36*a^2*b^2*c^3*d*e*g - 24*a^3*b*c^2*d^2*e*g - 9*a*b^3*c^4*e*g*m^2 - a*b^3*c^4*e*g*m^3 + 7*a^2*b^2*c^4*e*h*m + 7*a^2*b^2*c^4*f*g*m + 6*a^4*c*d^3*e*g*m^2 + a^4*c*d^3*e*g*m^3 + 3*a^4*c^2*d^2*e*h*m + 3*a^4*c^2*d^2*f*g*m + 57*a^2*b^2*c^3*d*e*g*m - 42*a^3*b*c^2*d^2*e*g*m - 2*a^3*b*c^3*d*e*h*m^2 - 2*a^3*b*c^3*d*f*g*m^2 + 24*a^2*b^2*c^3*d*e*g*m^2 - 21*a^3*b*c^2*d^2*e*g*m^2 + 3*a^2*b^2*c^3*d*e*g*m^3 - 3*a^3*b*c^2*d^2*e*g*m^3 - 10*a^3*b*c^3*d*e*h*m - 10*a^3*b*c^3*d*f*g*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^3*(a + b*x)^m*(8*b^4*c^4*f*h - 12*a^4*d^4*f*h + 20*b^4*c^3*d*e*h + 20*b^4*c^3*d*f*g - 19*a^4*d^4*f*h*m + 14*b^4*c^4*f*h*m + 60*b^4*c^2*d^2*e*g - 8*a^4*d^4*f*h*m^2 + 7*b^4*c^4*f*h*m^2 - a^4*d^4*f*h*m^3 + b^4*c^4*f*h*m^3 + 48*a^2*b^2*c^2*d^2*f*h + 3*a^2*b^2*d^4*e*g*m^2 + 3*b^4*c^2*d^2*e*g*m^2 - 32*a*b^3*c^3*d*f*h + 48*a^3*b*c*d^3*f*h - 4*a^3*b*d^4*e*h*m - 4*a^3*b*d^4*f*g*m + 29*b^4*c^3*d*e*h*m + 29*b^4*c^3*d*f*g*m - 80*a*b^3*c^2*d^2*e*h - 80*a*b^3*c^2*d^2*f*g + 3*a^2*b^2*d^4*e*g*m - 5*a^3*b*d^4*e*h*m^2 - 5*a^3*b*d^4*f*g*m^2 - a^3*b*d^4*e*h*m^3 - a^3*b*d^4*f*g*m^3 + 27*b^4*c^2*d^2*e*g*m + 10*b^4*c^3*d*e*h*m^2 + 10*b^4*c^3*d*f*g*m^2 + b^4*c^3*d*e*h*m^3 + b^4*c^3*d*f*g*m^3 + 3*a^2*b^2*c^2*d^2*f*h*m^2 - 6*a*b^3*c*d^3*e*g*m^2 - 66*a*b^3*c^2*d^2*e*h*m - 66*a*b^3*c^2*d^2*f*g*m + 41*a^2*b^2*c*d^3*e*h*m + 41*a^2*b^2*c*d^3*f*g*m - 16*a*b^3*c^3*d*f*h*m^2 + 14*a^3*b*c*d^3*f*h*m^2 - 2*a*b^3*c^3*d*f*h*m^3 + 2*a^3*b*c*d^3*f*h*m^3 - 25*a*b^3*c^2*d^2*e*h*m^2 - 25*a*b^3*c^2*d^2*f*g*m^2 + 20*a^2*b^2*c*d^3*e*h*m^2 + 20*a^2*b^2*c*d^3*f*g*m^2 - 3*a*b^3*c^2*d^2*e*h*m^3 - 3*a*b^3*c^2*d^2*f*g*m^3 + 3*a^2*b^2*c*d^3*e*h*m^3 + 3*a^2*b^2*c*d^3*f*g*m^3 + 15*a^2*b^2*c^2*d^2*f*h*m - 30*a*b^3*c*d^3*e*g*m - 46*a*b^3*c^3*d*f*h*m + 36*a^3*b*c*d^3*f*h*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x^2*(a + b*x)^m*(8*a^4*d^4*e*h + 8*a^4*d^4*f*g - 12*b^4*c^4*e*h - 12*b^4*c^4*f*g - 60*b^4*c^3*d*e*g + 20*a^4*c*d^3*f*h + 14*a^4*d^4*e*h*m + 14*a^4*d^4*f*g*m - 19*b^4*c^4*e*h*m - 19*b^4*c^4*f*g*m + 7*a^4*d^4*e*h*m^2 + 7*a^4*d^4*f*g*m^2 - 8*b^4*c^4*e*h*m^2 - 8*b^4*c^4*f*g*m^2 + a^4*d^4*e*h*m^3 + a^4*d^4*f*g*m^3 - b^4*c^4*e*h*m^3 - b^4*c^4*f*g*m^3 + 48*a^2*b^2*c^2*d^2*e*h + 48*a^2*b^2*c^2*d^2*f*g + 48*a*b^3*c^3*d*e*h + 48*a*b^3*c^3*d*f*g - 32*a^3*b*c*d^3*e*h - 32*a^3*b*c*d^3*f*g + 2*a^3*b*d^4*e*g*m - 4*a*b^3*c^4*f*h*m - 47*b^4*c^3*d*e*g*m + 29*a^4*c*d^3*f*h*m - 80*a^3*b*c^2*d^2*f*h + 3*a^3*b*d^4*e*g*m^2 + a^3*b*d^4*e*g*m^3 - 5*a*b^3*c^4*f*h*m^2 - a*b^3*c^4*f*h*m^3 - 12*b^4*c^3*d*e*g*m^2 - b^4*c^3*d*e*g*m^3 + 10*a^4*c*d^3*f*h*m^2 + a^4*c*d^3*f*h*m^3 + 3*a^2*b^2*c^2*d^2*e*h*m^2 + 3*a^2*b^2*c^2*d^2*f*g*m^2 + 60*a*b^3*c^2*d^2*e*g*m - 15*a^2*b^2*c*d^3*e*g*m + 14*a*b^3*c^3*d*e*h*m^2 + 14*a*b^3*c^3*d*f*g*m^2 - 16*a^3*b*c*d^3*e*h*m^2 - 16*a^3*b*c*d^3*f*g*m^2 + 2*a*b^3*c^3*d*e*h*m^3 + 2*a*b^3*c^3*d*f*g*m^3 - 2*a^3*b*c*d^3*e*h*m^3 - 2*a^3*b*c*d^3*f*g*m^3 + 41*a^2*b^2*c^3*d*f*h*m - 66*a^3*b*c^2*d^2*f*h*m + 27*a*b^3*c^2*d^2*e*g*m^2 - 18*a^2*b^2*c*d^3*e*g*m^2 + 3*a*b^3*c^2*d^2*e*g*m^3 - 3*a^2*b^2*c*d^3*e*g*m^3 + 15*a^2*b^2*c^2*d^2*e*h*m + 15*a^2*b^2*c^2*d^2*f*g*m + 20*a^2*b^2*c^3*d*f*h*m^2 - 25*a^3*b*c^2*d^2*f*h*m^2 + 3*a^2*b^2*c^3*d*f*h*m^3 - 3*a^3*b*c^2*d^2*f*h*m^3 + 36*a*b^3*c^3*d*e*h*m + 36*a*b^3*c^3*d*f*g*m - 46*a^3*b*c*d^3*e*h*m - 46*a^3*b*c*d^3*f*g*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b*d*x^4*(a + b*x)^m*(5*b*c - a*d*m + b*c*m)*(6*b^2*d^2*e*g + 12*a^2*d^2*f*h + 2*b^2*c^2*f*h + 7*a^2*d^2*f*h*m + 3*b^2*c^2*f*h*m + a^2*d^2*f*h*m^2 + b^2*c^2*f*h*m^2 - 8*a*b*d^2*e*h - 8*a*b*d^2*f*g + 2*b^2*c*d*e*h + 2*b^2*c*d*f*g - 2*a*b*d^2*e*h*m - 2*a*b*d^2*f*g*m + 2*b^2*c*d*e*h*m + 2*b^2*c*d*f*g*m - 8*a*b*c*d*f*h - 10*a*b*c*d*f*h*m - 2*a*b*c*d*f*h*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
132,0,-1,815,0.000000,"\text{Not used}","int(((e + f*x)^m*(g + h*x)*(a + b*x)^3)/(c + d*x)^(m + 4),x)","\int \frac{{\left(e+f\,x\right)}^m\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^3}{{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int(((e + f*x)^m*(g + h*x)*(a + b*x)^3)/(c + d*x)^(m + 4), x)","F"
133,0,-1,572,0.000000,"\text{Not used}","int(((e + f*x)^m*(g + h*x)*(a + b*x)^2)/(c + d*x)^(m + 4),x)","\int \frac{{\left(e+f\,x\right)}^m\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int(((e + f*x)^m*(g + h*x)*(a + b*x)^2)/(c + d*x)^(m + 4), x)","F"
134,1,1890,363,4.276669,"\text{Not used}","int(((e + f*x)^m*(g + h*x)*(a + b*x))/(c + d*x)^(m + 4),x)","\frac{{\left(e+f\,x\right)}^m\,\left(2\,b\,c^3\,e^3\,h+2\,a\,c\,d^2\,e^3\,g+a\,c^2\,d\,e^3\,h+b\,c^2\,d\,e^3\,g+6\,a\,c^3\,e\,f^2\,g-3\,a\,c^3\,e^2\,f\,h-3\,b\,c^3\,e^2\,f\,g-6\,a\,c^2\,d\,e^2\,f\,g+3\,a\,c\,d^2\,e^3\,g\,m+a\,c^2\,d\,e^3\,h\,m+b\,c^2\,d\,e^3\,g\,m+5\,a\,c^3\,e\,f^2\,g\,m-a\,c^3\,e^2\,f\,h\,m-b\,c^3\,e^2\,f\,g\,m+a\,c\,d^2\,e^3\,g\,m^2+a\,c^3\,e\,f^2\,g\,m^2-2\,a\,c^2\,d\,e^2\,f\,g\,m^2-8\,a\,c^2\,d\,e^2\,f\,g\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{x\,{\left(e+f\,x\right)}^m\,\left(6\,a\,c^3\,f^3\,g+2\,a\,d^3\,e^3\,g+4\,a\,c\,d^2\,e^3\,h+4\,b\,c\,d^2\,e^3\,g+8\,b\,c^2\,d\,e^3\,h+5\,a\,c^3\,f^3\,g\,m+3\,a\,d^3\,e^3\,g\,m+a\,c^3\,f^3\,g\,m^2+a\,d^3\,e^3\,g\,m^2-6\,a\,c\,d^2\,e^2\,f\,g+6\,a\,c^2\,d\,e\,f^2\,g-12\,a\,c^2\,d\,e^2\,f\,h-12\,b\,c^2\,d\,e^2\,f\,g+5\,a\,c\,d^2\,e^3\,h\,m+5\,b\,c\,d^2\,e^3\,g\,m+2\,b\,c^2\,d\,e^3\,h\,m+3\,a\,c^3\,e\,f^2\,h\,m+3\,b\,c^3\,e\,f^2\,g\,m-2\,b\,c^3\,e^2\,f\,h\,m+a\,c\,d^2\,e^3\,h\,m^2+b\,c\,d^2\,e^3\,g\,m^2+a\,c^3\,e\,f^2\,h\,m^2+b\,c^3\,e\,f^2\,g\,m^2-a\,c\,d^2\,e^2\,f\,g\,m^2-a\,c^2\,d\,e\,f^2\,g\,m^2-2\,a\,c^2\,d\,e^2\,f\,h\,m^2-2\,b\,c^2\,d\,e^2\,f\,g\,m^2-7\,a\,c\,d^2\,e^2\,f\,g\,m-a\,c^2\,d\,e\,f^2\,g\,m-8\,a\,c^2\,d\,e^2\,f\,h\,m-8\,b\,c^2\,d\,e^2\,f\,g\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{x^4\,{\left(e+f\,x\right)}^m\,\left(2\,a\,d^3\,f^3\,g+a\,c\,d^2\,f^3\,h+b\,c\,d^2\,f^3\,g+2\,b\,c^2\,d\,f^3\,h-3\,a\,d^3\,e\,f^2\,h-3\,b\,d^3\,e\,f^2\,g+6\,b\,d^3\,e^2\,f\,h-6\,b\,c\,d^2\,e\,f^2\,h+a\,c\,d^2\,f^3\,h\,m+b\,c\,d^2\,f^3\,g\,m+3\,b\,c^2\,d\,f^3\,h\,m-a\,d^3\,e\,f^2\,h\,m-b\,d^3\,e\,f^2\,g\,m+5\,b\,d^3\,e^2\,f\,h\,m+b\,c^2\,d\,f^3\,h\,m^2+b\,d^3\,e^2\,f\,h\,m^2-2\,b\,c\,d^2\,e\,f^2\,h\,m^2-8\,b\,c\,d^2\,e\,f^2\,h\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{x^2\,{\left(e+f\,x\right)}^m\,\left(3\,a\,c^3\,f^3\,h+3\,a\,d^3\,e^3\,h+3\,b\,c^3\,f^3\,g+3\,b\,d^3\,e^3\,g+12\,a\,c^2\,d\,f^3\,g+12\,b\,c\,d^2\,e^3\,h+4\,a\,c^3\,f^3\,h\,m+4\,a\,d^3\,e^3\,h\,m+4\,b\,c^3\,f^3\,g\,m+4\,b\,d^3\,e^3\,g\,m+a\,c^3\,f^3\,h\,m^2+a\,d^3\,e^3\,h\,m^2+b\,c^3\,f^3\,g\,m^2+b\,d^3\,e^3\,g\,m^2-9\,a\,c\,d^2\,e^2\,f\,h-9\,a\,c^2\,d\,e\,f^2\,h-9\,b\,c\,d^2\,e^2\,f\,g-9\,b\,c^2\,d\,e\,f^2\,g+7\,a\,c^2\,d\,f^3\,g\,m+7\,b\,c\,d^2\,e^3\,h\,m+a\,d^3\,e^2\,f\,g\,m+b\,c^3\,e\,f^2\,h\,m+a\,c^2\,d\,f^3\,g\,m^2+b\,c\,d^2\,e^3\,h\,m^2+a\,d^3\,e^2\,f\,g\,m^2+b\,c^3\,e\,f^2\,h\,m^2-2\,a\,c\,d^2\,e\,f^2\,g\,m^2-a\,c\,d^2\,e^2\,f\,h\,m^2-a\,c^2\,d\,e\,f^2\,h\,m^2-b\,c\,d^2\,e^2\,f\,g\,m^2-b\,c^2\,d\,e\,f^2\,g\,m^2-2\,b\,c^2\,d\,e^2\,f\,h\,m^2-8\,a\,c\,d^2\,e\,f^2\,g\,m-4\,a\,c\,d^2\,e^2\,f\,h\,m-4\,a\,c^2\,d\,e\,f^2\,h\,m-4\,b\,c\,d^2\,e^2\,f\,g\,m-4\,b\,c^2\,d\,e\,f^2\,g\,m-8\,b\,c^2\,d\,e^2\,f\,h\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{x^3\,{\left(e+f\,x\right)}^m\,\left(2\,b\,c^3\,f^3\,h+6\,b\,d^3\,e^3\,h+8\,a\,c\,d^2\,f^3\,g+4\,a\,c^2\,d\,f^3\,h+4\,b\,c^2\,d\,f^3\,g+3\,b\,c^3\,f^3\,h\,m+5\,b\,d^3\,e^3\,h\,m+b\,c^3\,f^3\,h\,m^2+b\,d^3\,e^3\,h\,m^2-12\,a\,c\,d^2\,e\,f^2\,h-12\,b\,c\,d^2\,e\,f^2\,g+6\,b\,c\,d^2\,e^2\,f\,h-6\,b\,c^2\,d\,e\,f^2\,h+2\,a\,c\,d^2\,f^3\,g\,m+5\,a\,c^2\,d\,f^3\,h\,m+5\,b\,c^2\,d\,f^3\,g\,m-2\,a\,d^3\,e\,f^2\,g\,m+3\,a\,d^3\,e^2\,f\,h\,m+3\,b\,d^3\,e^2\,f\,g\,m+a\,c^2\,d\,f^3\,h\,m^2+b\,c^2\,d\,f^3\,g\,m^2+a\,d^3\,e^2\,f\,h\,m^2+b\,d^3\,e^2\,f\,g\,m^2-2\,a\,c\,d^2\,e\,f^2\,h\,m^2-2\,b\,c\,d^2\,e\,f^2\,g\,m^2-b\,c\,d^2\,e^2\,f\,h\,m^2-b\,c^2\,d\,e\,f^2\,h\,m^2-8\,a\,c\,d^2\,e\,f^2\,h\,m-8\,b\,c\,d^2\,e\,f^2\,g\,m-b\,c\,d^2\,e^2\,f\,h\,m-7\,b\,c^2\,d\,e\,f^2\,h\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"((e + f*x)^m*(2*b*c^3*e^3*h + 2*a*c*d^2*e^3*g + a*c^2*d*e^3*h + b*c^2*d*e^3*g + 6*a*c^3*e*f^2*g - 3*a*c^3*e^2*f*h - 3*b*c^3*e^2*f*g - 6*a*c^2*d*e^2*f*g + 3*a*c*d^2*e^3*g*m + a*c^2*d*e^3*h*m + b*c^2*d*e^3*g*m + 5*a*c^3*e*f^2*g*m - a*c^3*e^2*f*h*m - b*c^3*e^2*f*g*m + a*c*d^2*e^3*g*m^2 + a*c^3*e*f^2*g*m^2 - 2*a*c^2*d*e^2*f*g*m^2 - 8*a*c^2*d*e^2*f*g*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (x*(e + f*x)^m*(6*a*c^3*f^3*g + 2*a*d^3*e^3*g + 4*a*c*d^2*e^3*h + 4*b*c*d^2*e^3*g + 8*b*c^2*d*e^3*h + 5*a*c^3*f^3*g*m + 3*a*d^3*e^3*g*m + a*c^3*f^3*g*m^2 + a*d^3*e^3*g*m^2 - 6*a*c*d^2*e^2*f*g + 6*a*c^2*d*e*f^2*g - 12*a*c^2*d*e^2*f*h - 12*b*c^2*d*e^2*f*g + 5*a*c*d^2*e^3*h*m + 5*b*c*d^2*e^3*g*m + 2*b*c^2*d*e^3*h*m + 3*a*c^3*e*f^2*h*m + 3*b*c^3*e*f^2*g*m - 2*b*c^3*e^2*f*h*m + a*c*d^2*e^3*h*m^2 + b*c*d^2*e^3*g*m^2 + a*c^3*e*f^2*h*m^2 + b*c^3*e*f^2*g*m^2 - a*c*d^2*e^2*f*g*m^2 - a*c^2*d*e*f^2*g*m^2 - 2*a*c^2*d*e^2*f*h*m^2 - 2*b*c^2*d*e^2*f*g*m^2 - 7*a*c*d^2*e^2*f*g*m - a*c^2*d*e*f^2*g*m - 8*a*c^2*d*e^2*f*h*m - 8*b*c^2*d*e^2*f*g*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (x^4*(e + f*x)^m*(2*a*d^3*f^3*g + a*c*d^2*f^3*h + b*c*d^2*f^3*g + 2*b*c^2*d*f^3*h - 3*a*d^3*e*f^2*h - 3*b*d^3*e*f^2*g + 6*b*d^3*e^2*f*h - 6*b*c*d^2*e*f^2*h + a*c*d^2*f^3*h*m + b*c*d^2*f^3*g*m + 3*b*c^2*d*f^3*h*m - a*d^3*e*f^2*h*m - b*d^3*e*f^2*g*m + 5*b*d^3*e^2*f*h*m + b*c^2*d*f^3*h*m^2 + b*d^3*e^2*f*h*m^2 - 2*b*c*d^2*e*f^2*h*m^2 - 8*b*c*d^2*e*f^2*h*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (x^2*(e + f*x)^m*(3*a*c^3*f^3*h + 3*a*d^3*e^3*h + 3*b*c^3*f^3*g + 3*b*d^3*e^3*g + 12*a*c^2*d*f^3*g + 12*b*c*d^2*e^3*h + 4*a*c^3*f^3*h*m + 4*a*d^3*e^3*h*m + 4*b*c^3*f^3*g*m + 4*b*d^3*e^3*g*m + a*c^3*f^3*h*m^2 + a*d^3*e^3*h*m^2 + b*c^3*f^3*g*m^2 + b*d^3*e^3*g*m^2 - 9*a*c*d^2*e^2*f*h - 9*a*c^2*d*e*f^2*h - 9*b*c*d^2*e^2*f*g - 9*b*c^2*d*e*f^2*g + 7*a*c^2*d*f^3*g*m + 7*b*c*d^2*e^3*h*m + a*d^3*e^2*f*g*m + b*c^3*e*f^2*h*m + a*c^2*d*f^3*g*m^2 + b*c*d^2*e^3*h*m^2 + a*d^3*e^2*f*g*m^2 + b*c^3*e*f^2*h*m^2 - 2*a*c*d^2*e*f^2*g*m^2 - a*c*d^2*e^2*f*h*m^2 - a*c^2*d*e*f^2*h*m^2 - b*c*d^2*e^2*f*g*m^2 - b*c^2*d*e*f^2*g*m^2 - 2*b*c^2*d*e^2*f*h*m^2 - 8*a*c*d^2*e*f^2*g*m - 4*a*c*d^2*e^2*f*h*m - 4*a*c^2*d*e*f^2*h*m - 4*b*c*d^2*e^2*f*g*m - 4*b*c^2*d*e*f^2*g*m - 8*b*c^2*d*e^2*f*h*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (x^3*(e + f*x)^m*(2*b*c^3*f^3*h + 6*b*d^3*e^3*h + 8*a*c*d^2*f^3*g + 4*a*c^2*d*f^3*h + 4*b*c^2*d*f^3*g + 3*b*c^3*f^3*h*m + 5*b*d^3*e^3*h*m + b*c^3*f^3*h*m^2 + b*d^3*e^3*h*m^2 - 12*a*c*d^2*e*f^2*h - 12*b*c*d^2*e*f^2*g + 6*b*c*d^2*e^2*f*h - 6*b*c^2*d*e*f^2*h + 2*a*c*d^2*f^3*g*m + 5*a*c^2*d*f^3*h*m + 5*b*c^2*d*f^3*g*m - 2*a*d^3*e*f^2*g*m + 3*a*d^3*e^2*f*h*m + 3*b*d^3*e^2*f*g*m + a*c^2*d*f^3*h*m^2 + b*c^2*d*f^3*g*m^2 + a*d^3*e^2*f*h*m^2 + b*d^3*e^2*f*g*m^2 - 2*a*c*d^2*e*f^2*h*m^2 - 2*b*c*d^2*e*f^2*g*m^2 - b*c*d^2*e^2*f*h*m^2 - b*c^2*d*e*f^2*h*m^2 - 8*a*c*d^2*e*f^2*h*m - 8*b*c*d^2*e*f^2*g*m - b*c*d^2*e^2*f*h*m - 7*b*c^2*d*e*f^2*h*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
135,1,869,188,3.406519,"\text{Not used}","int(((e + f*x)^m*(g + h*x))/(c + d*x)^(m + 4),x)","\frac{x^2\,{\left(e+f\,x\right)}^m\,\left(h\,c^3\,f^3\,m^2+4\,h\,c^3\,f^3\,m+3\,h\,c^3\,f^3-h\,c^2\,d\,e\,f^2\,m^2-4\,h\,c^2\,d\,e\,f^2\,m-9\,h\,c^2\,d\,e\,f^2+g\,c^2\,d\,f^3\,m^2+7\,g\,c^2\,d\,f^3\,m+12\,g\,c^2\,d\,f^3-h\,c\,d^2\,e^2\,f\,m^2-4\,h\,c\,d^2\,e^2\,f\,m-9\,h\,c\,d^2\,e^2\,f-2\,g\,c\,d^2\,e\,f^2\,m^2-8\,g\,c\,d^2\,e\,f^2\,m+h\,d^3\,e^3\,m^2+4\,h\,d^3\,e^3\,m+3\,h\,d^3\,e^3+g\,d^3\,e^2\,f\,m^2+g\,d^3\,e^2\,f\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{x\,{\left(e+f\,x\right)}^m\,\left(h\,c^3\,e\,f^2\,m^2+3\,h\,c^3\,e\,f^2\,m+g\,c^3\,f^3\,m^2+5\,g\,c^3\,f^3\,m+6\,g\,c^3\,f^3-2\,h\,c^2\,d\,e^2\,f\,m^2-8\,h\,c^2\,d\,e^2\,f\,m-12\,h\,c^2\,d\,e^2\,f-g\,c^2\,d\,e\,f^2\,m^2-g\,c^2\,d\,e\,f^2\,m+6\,g\,c^2\,d\,e\,f^2+h\,c\,d^2\,e^3\,m^2+5\,h\,c\,d^2\,e^3\,m+4\,h\,c\,d^2\,e^3-g\,c\,d^2\,e^2\,f\,m^2-7\,g\,c\,d^2\,e^2\,f\,m-6\,g\,c\,d^2\,e^2\,f+g\,d^3\,e^3\,m^2+3\,g\,d^3\,e^3\,m+2\,g\,d^3\,e^3\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{c\,e\,{\left(e+f\,x\right)}^m\,\left(-h\,c^2\,e\,f\,m-3\,h\,c^2\,e\,f+g\,c^2\,f^2\,m^2+5\,g\,c^2\,f^2\,m+6\,g\,c^2\,f^2+h\,c\,d\,e^2\,m+h\,c\,d\,e^2-2\,g\,c\,d\,e\,f\,m^2-8\,g\,c\,d\,e\,f\,m-6\,g\,c\,d\,e\,f+g\,d^2\,e^2\,m^2+3\,g\,d^2\,e^2\,m+2\,g\,d^2\,e^2\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{d^2\,f^2\,x^4\,{\left(e+f\,x\right)}^m\,\left(c\,f\,h-3\,d\,e\,h+2\,d\,f\,g+c\,f\,h\,m-d\,e\,h\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{d\,f\,x^3\,{\left(e+f\,x\right)}^m\,\left(4\,c\,f+c\,f\,m-d\,e\,m\right)\,\left(c\,f\,h-3\,d\,e\,h+2\,d\,f\,g+c\,f\,h\,m-d\,e\,h\,m\right)}{{\left(c\,f-d\,e\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"(x^2*(e + f*x)^m*(3*c^3*f^3*h + 3*d^3*e^3*h + c^3*f^3*h*m^2 + d^3*e^3*h*m^2 + 12*c^2*d*f^3*g + 4*c^3*f^3*h*m + 4*d^3*e^3*h*m - 9*c*d^2*e^2*f*h - 9*c^2*d*e*f^2*h + 7*c^2*d*f^3*g*m + d^3*e^2*f*g*m + c^2*d*f^3*g*m^2 + d^3*e^2*f*g*m^2 - 8*c*d^2*e*f^2*g*m - 4*c*d^2*e^2*f*h*m - 4*c^2*d*e*f^2*h*m - 2*c*d^2*e*f^2*g*m^2 - c*d^2*e^2*f*h*m^2 - c^2*d*e*f^2*h*m^2))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (x*(e + f*x)^m*(6*c^3*f^3*g + 2*d^3*e^3*g + c^3*f^3*g*m^2 + d^3*e^3*g*m^2 + 4*c*d^2*e^3*h + 5*c^3*f^3*g*m + 3*d^3*e^3*g*m - 6*c*d^2*e^2*f*g + 6*c^2*d*e*f^2*g - 12*c^2*d*e^2*f*h + 5*c*d^2*e^3*h*m + 3*c^3*e*f^2*h*m + c*d^2*e^3*h*m^2 + c^3*e*f^2*h*m^2 - 7*c*d^2*e^2*f*g*m - c^2*d*e*f^2*g*m - 8*c^2*d*e^2*f*h*m - c*d^2*e^2*f*g*m^2 - c^2*d*e*f^2*g*m^2 - 2*c^2*d*e^2*f*h*m^2))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (c*e*(e + f*x)^m*(6*c^2*f^2*g + 2*d^2*e^2*g + c^2*f^2*g*m^2 + d^2*e^2*g*m^2 + c*d*e^2*h - 3*c^2*e*f*h + 5*c^2*f^2*g*m + 3*d^2*e^2*g*m - 6*c*d*e*f*g + c*d*e^2*h*m - c^2*e*f*h*m - 2*c*d*e*f*g*m^2 - 8*c*d*e*f*g*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (d^2*f^2*x^4*(e + f*x)^m*(c*f*h - 3*d*e*h + 2*d*f*g + c*f*h*m - d*e*h*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) + (d*f*x^3*(e + f*x)^m*(4*c*f + c*f*m - d*e*m)*(c*f*h - 3*d*e*h + 2*d*f*g + c*f*h*m - d*e*h*m))/((c*f - d*e)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
136,0,-1,177,0.000000,"\text{Not used}","int(((e + f*x)^p*(A + B*x)*(c + d*x)^n)/(a + b*x),x)","\int \frac{{\left(e+f\,x\right)}^p\,\left(A+B\,x\right)\,{\left(c+d\,x\right)}^n}{a+b\,x} \,d x","Not used",1,"int(((e + f*x)^p*(A + B*x)*(c + d*x)^n)/(a + b*x), x)","F"
137,0,-1,233,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m)/((e + f*x)*(c + d*x)^m),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m)/((e + f*x)*(c + d*x)^m), x)","F"
138,0,-1,250,0.000000,"\text{Not used}","int(((e + f*x)^p*(A + B*x)*(c + d*x)^n)/(a + b*x)^(1/2),x)","\int \frac{{\left(e+f\,x\right)}^p\,\left(A+B\,x\right)\,{\left(c+d\,x\right)}^n}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((e + f*x)^p*(A + B*x)*(c + d*x)^n)/(a + b*x)^(1/2), x)","F"
139,0,-1,530,0.000000,"\text{Not used}","int((e + f*x)^p*(g + h*x)^3*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(g+h\,x\right)}^3\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(g + h*x)^3*(a + b*x)^m*(c + d*x)^n, x)","F"
140,0,-1,393,0.000000,"\text{Not used}","int((e + f*x)^p*(g + h*x)^2*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(g+h\,x\right)}^2\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(g + h*x)^2*(a + b*x)^m*(c + d*x)^n, x)","F"
141,0,-1,256,0.000000,"\text{Not used}","int((e + f*x)^p*(g + h*x)*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,\left(g+h\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(g + h*x)*(a + b*x)^m*(c + d*x)^n, x)","F"
142,0,-1,123,0.000000,"\text{Not used}","int((e + f*x)^p*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(a + b*x)^m*(c + d*x)^n, x)","F"
143,0,-1,32,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m*(c + d*x)^n)/(g + h*x),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{g+h\,x} \,d x","Not used",0,"int(((e + f*x)^p*(a + b*x)^m*(c + d*x)^n)/(g + h*x), x)","F"
144,0,-1,268,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n), x)","F"
145,0,-1,283,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 1),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+1}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 1), x)","F"
146,0,-1,277,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 2), x)","F"
147,0,-1,263,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 3),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+3}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 3), x)","F"
148,0,-1,558,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 4),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+4}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 4), x)","F"
149,1,244,79,7.440682,"\text{Not used}","int((x*(a + b*x + c*x^2))/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\sqrt{1-d\,x}\,\left(\frac{a}{d^2}+\frac{a\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{2\,b\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,b\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{14\,b\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,b\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{2\,b\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}-\frac{\sqrt{1-d\,x}\,\left(\frac{2\,c}{3\,d^4}+\frac{c\,x^3}{3\,d}+\frac{c\,x^2}{3\,d^2}+\frac{2\,c\,x}{3\,d^3}\right)}{\sqrt{d\,x+1}}","Not used",1,"- ((1 - d*x)^(1/2)*(a/d^2 + (a*x)/d))/(d*x + 1)^(1/2) - (2*b*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*b*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (14*b*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*b*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (2*b*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4) - ((1 - d*x)^(1/2)*((2*c)/(3*d^4) + (c*x^3)/(3*d) + (c*x^2)/(3*d^2) + (2*c*x)/(3*d^3)))/(d*x + 1)^(1/2)","B"
150,1,232,63,6.988215,"\text{Not used}","int((a + b*x + c*x^2)/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\sqrt{1-d\,x}\,\left(\frac{b}{d^2}+\frac{b\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{4\,a\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{2\,c\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,c\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{14\,c\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,c\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{2\,c\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}","Not used",1,"- ((1 - d*x)^(1/2)*(b/d^2 + (b*x)/d))/(d*x + 1)^(1/2) - (4*a*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (2*c*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*c*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (14*c*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*c*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (2*c*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4)","B"
151,1,122,48,3.923872,"\text{Not used}","int((a + b*x + c*x^2)/(x*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","a\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{\sqrt{1-d\,x}\,\left(\frac{c}{d^2}+\frac{c\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{4\,b\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}","Not used",1,"a*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - ((1 - d*x)^(1/2)*(c/d^2 + (c*x)/d))/(d*x + 1)^(1/2) - (4*b*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2)","B"
152,1,114,48,3.741084,"\text{Not used}","int((a + b*x + c*x^2)/(x^2*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","b\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{4\,c\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{a\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{x}","Not used",1,"b*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - (4*c*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (a*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/x","B"
153,1,312,71,5.854076,"\text{Not used}","int((a + b*x + c*x^2)/(x^3*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","c\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{\frac{a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{a\,d^2}{2}+\frac{15\,a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^4}{2\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{16\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{32\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{16\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}+\frac{a\,d^2\,\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)}{2}-\frac{a\,d^2\,\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{2}-\frac{b\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{x}+\frac{a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"c*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - ((a*d^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (a*d^2)/2 + (15*a*d^2*((1 - d*x)^(1/2) - 1)^4)/(2*((d*x + 1)^(1/2) - 1)^4))/((16*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (32*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (16*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6) + (a*d^2*log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1))/2 - (a*d^2*log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/2 - (b*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/x + (a*d^2*((1 - d*x)^(1/2) - 1)^2)/(32*((d*x + 1)^(1/2) - 1)^2)","B"
154,1,318,87,12.353768,"\text{Not used}","int((x*(a + b*x + c*x^2))/((d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\sqrt{d\,x-1}\,\left(\frac{2\,c}{3\,d^4}+\frac{c\,x^3}{3\,d}+\frac{c\,x^2}{3\,d^2}+\frac{2\,c\,x}{3\,d^3}\right)}{\sqrt{d\,x+1}}+\frac{2\,b\,\mathrm{atanh}\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{2\,b\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\sqrt{d\,x+1}-1}}{d^3-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{6\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}}+\frac{a\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}","Not used",1,"(2*b*atanh(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*b*((d*x - 1)^(1/2) - 1i)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*b*((d*x - 1)^(1/2) - 1i)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*b*((d*x - 1)^(1/2) - 1i)^7)/((d*x + 1)^(1/2) - 1)^7 + (2*b*((d*x - 1)^(1/2) - 1i))/((d*x + 1)^(1/2) - 1))/(d^3 - (4*d^3*((d*x - 1)^(1/2) - 1i)^2)/((d*x + 1)^(1/2) - 1)^2 + (6*d^3*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 - (4*d^3*((d*x - 1)^(1/2) - 1i)^6)/((d*x + 1)^(1/2) - 1)^6 + (d^3*((d*x - 1)^(1/2) - 1i)^8)/((d*x + 1)^(1/2) - 1)^8) + ((d*x - 1)^(1/2)*((2*c)/(3*d^4) + (c*x^3)/(3*d) + (c*x^2)/(3*d^2) + (2*c*x)/(3*d^3)))/(d*x + 1)^(1/2) + (a*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2","B"
155,1,312,52,12.399998,"\text{Not used}","int((a + b*x + c*x^2)/((d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{b\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}+\frac{2\,c\,\mathrm{atanh}\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{4\,a\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-\frac{\frac{14\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{2\,c\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\sqrt{d\,x+1}-1}}{d^3-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{6\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}}","Not used",1,"(2*c*atanh(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*c*((d*x - 1)^(1/2) - 1i)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*c*((d*x - 1)^(1/2) - 1i)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*c*((d*x - 1)^(1/2) - 1i)^7)/((d*x + 1)^(1/2) - 1)^7 + (2*c*((d*x - 1)^(1/2) - 1i))/((d*x + 1)^(1/2) - 1))/(d^3 - (4*d^3*((d*x - 1)^(1/2) - 1i)^2)/((d*x + 1)^(1/2) - 1)^2 + (6*d^3*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 - (4*d^3*((d*x - 1)^(1/2) - 1i)^6)/((d*x + 1)^(1/2) - 1)^6 + (d^3*((d*x - 1)^(1/2) - 1i)^8)/((d*x + 1)^(1/2) - 1)^8) - (4*a*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) + (b*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2","B"
156,1,118,55,3.974698,"\text{Not used}","int((a + b*x + c*x^2)/(x*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{c\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}-\frac{4\,b\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-a\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}","Not used",1,"(c*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2 - (4*b*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) - a*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i","B"
157,1,118,55,3.859487,"\text{Not used}","int((a + b*x + c*x^2)/(x^2*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{a\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}-\frac{4\,c\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-b\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}","Not used",1,"(a*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x - (4*c*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) - b*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i","B"
158,1,316,83,9.891048,"\text{Not used}","int((a + b*x + c*x^2)/(x^3*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{a\,d^2\,1{}\mathrm{i}}{32}+\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{16\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4\,15{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}-c\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}-\frac{a\,d^2\,\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}}{2}+\frac{a\,d^2\,\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\,1{}\mathrm{i}}{2}+\frac{b\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}+\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"((a*d^2*1i)/32 + (a*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(16*((d*x + 1)^(1/2) - 1)^2) - (a*d^2*((d*x - 1)^(1/2) - 1i)^4*15i)/(32*((d*x + 1)^(1/2) - 1)^4))/(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + (2*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 + ((d*x - 1)^(1/2) - 1i)^6/((d*x + 1)^(1/2) - 1)^6) - c*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i - (a*d^2*log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1)*1i)/2 + (a*d^2*log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1))*1i)/2 + (b*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x + (a*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(32*((d*x + 1)^(1/2) - 1)^2)","B"
159,1,304,116,9.435737,"\text{Not used}","int((a + b*x + c*x^2)/(x^4*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{b\,d^2\,1{}\mathrm{i}}{32}+\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{16\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4\,15{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}-\frac{b\,d^2\,\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^2\,\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\,1{}\mathrm{i}}{2}+\frac{c\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}+\frac{\sqrt{d\,x-1}\,\left(\frac{2\,a\,d^3\,x^3}{3}+\frac{2\,a\,d^2\,x^2}{3}+\frac{a\,d\,x}{3}+\frac{a}{3}\right)}{x^3\,\sqrt{d\,x+1}}+\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"((b*d^2*1i)/32 + (b*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(16*((d*x + 1)^(1/2) - 1)^2) - (b*d^2*((d*x - 1)^(1/2) - 1i)^4*15i)/(32*((d*x + 1)^(1/2) - 1)^4))/(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + (2*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 + ((d*x - 1)^(1/2) - 1i)^6/((d*x + 1)^(1/2) - 1)^6) - (b*d^2*log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1)*1i)/2 + (b*d^2*log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1))*1i)/2 + (c*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x + ((d*x - 1)^(1/2)*(a/3 + (2*a*d^2*x^2)/3 + (2*a*d^3*x^3)/3 + (a*d*x)/3))/(x^3*(d*x + 1)^(1/2)) + (b*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(32*((d*x + 1)^(1/2) - 1)^2)","B"