1,0,-1,51,0.000000,"\text{Not used}","int(asin(x)*log(x),x)","\int \mathrm{asin}\left(x\right)\,\ln\left(x\right) \,d x","Not used",1,"int(asin(x)*log(x), x)","F"
2,0,-1,17,0.000000,"\text{Not used}","int((x*asin(x))/(1 - x^2)^(1/2),x)","\int \frac{x\,\mathrm{asin}\left(x\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*asin(x))/(1 - x^2)^(1/2), x)","F"
3,0,-1,69,0.000000,"\text{Not used}","int(asin((x + 1)^(1/2) - x^(1/2)),x)","\int \mathrm{asin}\left(\sqrt{x+1}-\sqrt{x}\right) \,d x","Not used",1,"int(asin((x + 1)^(1/2) - x^(1/2)), x)","F"
4,1,666,97,1.573048,"\text{Not used}","int(log(x*(x^2 + 1)^(1/2) + 1),x)","x\,\ln\left(x\,\sqrt{x^2+1}+1\right)-2\,x+\frac{\ln\left(x-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-1}}{2}\right)\,\left(\frac{\sqrt{5}}{2}-\frac{5}{2}\right)}{2\,\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}}-\frac{\ln\left(x+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-1}}{2}\right)\,\left(\frac{\sqrt{5}}{2}-\frac{5}{2}\right)}{2\,\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}}-\frac{\ln\left(x-\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-1}}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{5}{2}\right)}{2\,\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}}+\frac{\ln\left(x+\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-1}}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{5}{2}\right)}{2\,\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}}+\frac{\left(\ln\left(x-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-1}}{2}\right)-\ln\left(\frac{\sqrt{2}\,x\,\sqrt{\sqrt{5}-1}}{2}+\frac{\sqrt{2}\,\sqrt{x^2+1}\,\sqrt{\sqrt{5}+1}}{2}+1\right)\right)\,\left(\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+2\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}+\frac{\left(\ln\left(x+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-1}}{2}\right)-\ln\left(\frac{\sqrt{2}\,\sqrt{x^2+1}\,\sqrt{\sqrt{5}+1}}{2}-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{5}-1}}{2}+1\right)\right)\,\left(\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+2\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}-\frac{\left(\ln\left(\frac{\sqrt{2}\,\sqrt{x^2+1}\,\sqrt{1-\sqrt{5}}}{2}-\frac{\sqrt{2}\,x\,\sqrt{-\sqrt{5}-1}}{2}+1\right)-\ln\left(x+\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-1}}{2}\right)\right)\,\left(\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+2\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}-\frac{\left(\ln\left(\frac{\sqrt{2}\,x\,\sqrt{-\sqrt{5}-1}}{2}+\frac{\sqrt{2}\,\sqrt{x^2+1}\,\sqrt{1-\sqrt{5}}}{2}+1\right)-\ln\left(x-\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-1}}{2}\right)\right)\,\left(\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+2\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{-\frac{\sqrt{5}}{2}-\frac{1}{2}}+4\,{\left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}","Not used",1,"x*log(x*(x^2 + 1)^(1/2) + 1) - 2*x + (log(x - (2^(1/2)*(5^(1/2) - 1)^(1/2))/2)*(5^(1/2)/2 - 5/2))/(2*(5^(1/2)/2 - 1/2)^(1/2) + 4*(5^(1/2)/2 - 1/2)^(3/2)) - (log(x + (2^(1/2)*(5^(1/2) - 1)^(1/2))/2)*(5^(1/2)/2 - 5/2))/(2*(5^(1/2)/2 - 1/2)^(1/2) + 4*(5^(1/2)/2 - 1/2)^(3/2)) - (log(x - (2^(1/2)*(- 5^(1/2) - 1)^(1/2))/2)*(5^(1/2)/2 + 5/2))/(2*(- 5^(1/2)/2 - 1/2)^(1/2) + 4*(- 5^(1/2)/2 - 1/2)^(3/2)) + (log(x + (2^(1/2)*(- 5^(1/2) - 1)^(1/2))/2)*(5^(1/2)/2 + 5/2))/(2*(- 5^(1/2)/2 - 1/2)^(1/2) + 4*(- 5^(1/2)/2 - 1/2)^(3/2)) + ((log(x - (2^(1/2)*(5^(1/2) - 1)^(1/2))/2) - log((2^(1/2)*x*(5^(1/2) - 1)^(1/2))/2 + (2^(1/2)*(x^2 + 1)^(1/2)*(5^(1/2) + 1)^(1/2))/2 + 1))*((5^(1/2)/2 - 1/2)^(1/2) + 2*(5^(1/2)/2 - 1/2)^(3/2)))/((2*(5^(1/2)/2 - 1/2)^(1/2) + 4*(5^(1/2)/2 - 1/2)^(3/2))*(5^(1/2)/2 + 1/2)^(1/2)) + ((log(x + (2^(1/2)*(5^(1/2) - 1)^(1/2))/2) - log((2^(1/2)*(x^2 + 1)^(1/2)*(5^(1/2) + 1)^(1/2))/2 - (2^(1/2)*x*(5^(1/2) - 1)^(1/2))/2 + 1))*((5^(1/2)/2 - 1/2)^(1/2) + 2*(5^(1/2)/2 - 1/2)^(3/2)))/((2*(5^(1/2)/2 - 1/2)^(1/2) + 4*(5^(1/2)/2 - 1/2)^(3/2))*(5^(1/2)/2 + 1/2)^(1/2)) - ((log((2^(1/2)*(x^2 + 1)^(1/2)*(1 - 5^(1/2))^(1/2))/2 - (2^(1/2)*x*(- 5^(1/2) - 1)^(1/2))/2 + 1) - log(x + (2^(1/2)*(- 5^(1/2) - 1)^(1/2))/2))*((- 5^(1/2)/2 - 1/2)^(1/2) + 2*(- 5^(1/2)/2 - 1/2)^(3/2)))/((2*(- 5^(1/2)/2 - 1/2)^(1/2) + 4*(- 5^(1/2)/2 - 1/2)^(3/2))*(1/2 - 5^(1/2)/2)^(1/2)) - ((log((2^(1/2)*x*(- 5^(1/2) - 1)^(1/2))/2 + (2^(1/2)*(x^2 + 1)^(1/2)*(1 - 5^(1/2))^(1/2))/2 + 1) - log(x - (2^(1/2)*(- 5^(1/2) - 1)^(1/2))/2))*((- 5^(1/2)/2 - 1/2)^(1/2) + 2*(- 5^(1/2)/2 - 1/2)^(3/2)))/((2*(- 5^(1/2)/2 - 1/2)^(1/2) + 4*(- 5^(1/2)/2 - 1/2)^(3/2))*(1/2 - 5^(1/2)/2)^(1/2))","B"
5,0,-1,45,0.000000,"\text{Not used}","int(cos(x)^2/(cos(x)^2 + cos(x)^4 + 1)^(1/2),x)","\int \frac{{\cos\left(x\right)}^2}{\sqrt{{\cos\left(x\right)}^4+{\cos\left(x\right)}^2+1}} \,d x","Not used",1,"int(cos(x)^2/(cos(x)^2 + cos(x)^4 + 1)^(1/2), x)","F"
6,0,-1,56,0.000000,"\text{Not used}","int(tan(x)*(tan(x)^4 + 1)^(1/2),x)","\int \mathrm{tan}\left(x\right)\,\sqrt{{\mathrm{tan}\left(x\right)}^4+1} \,d x","Not used",1,"int(tan(x)*(tan(x)^4 + 1)^(1/2), x)","F"
7,0,-1,15,0.000000,"\text{Not used}","int(tan(x)/(1/cos(x)^3 + 1)^(1/2),x)","\int \frac{\mathrm{tan}\left(x\right)}{\sqrt{\frac{1}{{\cos\left(x\right)}^3}+1}} \,d x","Not used",1,"int(tan(x)/(1/cos(x)^3 + 1)^(1/2), x)","F"
8,0,-1,137,0.000000,"\text{Not used}","int((2*tan(x) + tan(x)^2 + 2)^(1/2),x)","\int \sqrt{{\mathrm{tan}\left(x\right)}^2+2\,\mathrm{tan}\left(x\right)+2} \,d x","Not used",1,"int((2*tan(x) + tan(x)^2 + 2)^(1/2), x)","F"
9,1,60,41,0.416979,"\text{Not used}","int(atan((1/cos(x) - 1)^(1/2))*sin(x),x)","-\mathrm{atan}\left(\sqrt{\frac{1}{\cos\left(x\right)}-1}\right)\,\cos\left(x\right)-\frac{\cos\left(x\right)\,\left(\frac{3\,\mathrm{asin}\left(\sqrt{\cos\left(x\right)}\right)}{2\,{\cos\left(x\right)}^{3/2}}-\frac{3\,\sqrt{1-\cos\left(x\right)}}{2\,\cos\left(x\right)}\right)\,\sqrt{1-\cos\left(x\right)}}{3\,\sqrt{\frac{1}{\cos\left(x\right)}-1}}","Not used",1,"- atan((1/cos(x) - 1)^(1/2))*cos(x) - (cos(x)*((3*asin(cos(x)^(1/2)))/(2*cos(x)^(3/2)) - (3*(1 - cos(x))^(1/2))/(2*cos(x)))*(1 - cos(x))^(1/2))/(3*(1/cos(x) - 1)^(1/2))","B"
10,0,-1,44,0.000000,"\text{Not used}","int((x^3*exp(asin(x)))/(1 - x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{e}}^{\mathrm{asin}\left(x\right)}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x^3*exp(asin(x)))/(1 - x^2)^(1/2), x)","F"
11,0,-1,68,0.000000,"\text{Not used}","int((x*log(x^2 + 1)*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2),x)","\int \frac{x\,\ln\left(x^2+1\right)\,\ln\left(x+\sqrt{x^2+1}\right)}{\sqrt{x^2+1}} \,d x","Not used",1,"int((x*log(x^2 + 1)*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2), x)","F"
12,1,661,141,1.373307,"\text{Not used}","int(atan(x + (1 - x^2)^(1/2)),x)","x\,\mathrm{atan}\left(x+\sqrt{1-x^2}\right)-\frac{\mathrm{asin}\left(x\right)}{2}+\frac{\ln\left(x-\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{\sqrt{3}}{2}+{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+\frac{1}{2}{}\mathrm{i}\right)}{2\,\sqrt{3}-8\,{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}}-\frac{\ln\left(x-\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{\sqrt{3}}{2}+{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3-\frac{1}{2}{}\mathrm{i}\right)}{-2\,\sqrt{3}+8\,{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}}-\frac{\ln\left(x+\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{\sqrt{3}}{2}+{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3-\frac{1}{2}{}\mathrm{i}\right)}{-2\,\sqrt{3}+8\,{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}}+\frac{\ln\left(x+\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{\sqrt{3}}{2}+{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+\frac{1}{2}{}\mathrm{i}\right)}{2\,\sqrt{3}-8\,{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}}+\frac{\ln\left(\frac{\frac{\left(x\,\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)-1\right)\,1{}\mathrm{i}}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2}}-\sqrt{1-x^2}\,1{}\mathrm{i}}{\frac{\sqrt{3}}{2}-x+\frac{1}{2}{}\mathrm{i}}\right)\,\left({\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2+1\right)}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2}\,\left(2\,\sqrt{3}-8\,{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}\right)}-\frac{\ln\left(\frac{\frac{\left(x\,\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)-1\right)\,1{}\mathrm{i}}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2}}-\sqrt{1-x^2}\,1{}\mathrm{i}}{x-\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}}\right)\,\left({\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2+1\right)}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2}\,\left(-2\,\sqrt{3}+8\,{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}\right)}+\frac{\ln\left(\frac{\frac{\left(x\,\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)+1\right)\,1{}\mathrm{i}}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2}}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}}\right)\,\left({\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2+1\right)}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^2}\,\left(-2\,\sqrt{3}+8\,{\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}\right)}-\frac{\ln\left(\frac{\frac{\left(x\,\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)+1\right)\,1{}\mathrm{i}}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2}}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}}\right)\,\left({\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2+1\right)}{\sqrt{1-{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^2}\,\left(2\,\sqrt{3}-8\,{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)}^3+2{}\mathrm{i}\right)}","Not used",1,"x*atan(x + (1 - x^2)^(1/2)) - asin(x)/2 + (log(x - 3^(1/2)/2 - 1i/2)*(3^(1/2)/2 + (3^(1/2)/2 + 1i/2)^3 + 1i/2))/(2*3^(1/2) - 8*(3^(1/2)/2 + 1i/2)^3 + 2i) - (log(x - 3^(1/2)/2 + 1i/2)*(3^(1/2)/2 + (3^(1/2)/2 - 1i/2)^3 - 1i/2))/(8*(3^(1/2)/2 - 1i/2)^3 - 2*3^(1/2) + 2i) - (log(x + 3^(1/2)/2 - 1i/2)*(3^(1/2)/2 + (3^(1/2)/2 - 1i/2)^3 - 1i/2))/(8*(3^(1/2)/2 - 1i/2)^3 - 2*3^(1/2) + 2i) + (log(x + 3^(1/2)/2 + 1i/2)*(3^(1/2)/2 + (3^(1/2)/2 + 1i/2)^3 + 1i/2))/(2*3^(1/2) - 8*(3^(1/2)/2 + 1i/2)^3 + 2i) + (log((((x*(3^(1/2)/2 + 1i/2) - 1)*1i)/(1 - (3^(1/2)/2 + 1i/2)^2)^(1/2) - (1 - x^2)^(1/2)*1i)/(3^(1/2)/2 - x + 1i/2))*((3^(1/2)/2 + 1i/2)^2 + 1))/((1 - (3^(1/2)/2 + 1i/2)^2)^(1/2)*(2*3^(1/2) - 8*(3^(1/2)/2 + 1i/2)^3 + 2i)) - (log((((x*(3^(1/2)/2 - 1i/2) - 1)*1i)/(1 - (3^(1/2)/2 - 1i/2)^2)^(1/2) - (1 - x^2)^(1/2)*1i)/(x - 3^(1/2)/2 + 1i/2))*((3^(1/2)/2 - 1i/2)^2 + 1))/((1 - (3^(1/2)/2 - 1i/2)^2)^(1/2)*(8*(3^(1/2)/2 - 1i/2)^3 - 2*3^(1/2) + 2i)) + (log((((x*(3^(1/2)/2 - 1i/2) + 1)*1i)/(1 - (3^(1/2)/2 - 1i/2)^2)^(1/2) + (1 - x^2)^(1/2)*1i)/(x + 3^(1/2)/2 - 1i/2))*((3^(1/2)/2 - 1i/2)^2 + 1))/((1 - (3^(1/2)/2 - 1i/2)^2)^(1/2)*(8*(3^(1/2)/2 - 1i/2)^3 - 2*3^(1/2) + 2i)) - (log((((x*(3^(1/2)/2 + 1i/2) + 1)*1i)/(1 - (3^(1/2)/2 + 1i/2)^2)^(1/2) + (1 - x^2)^(1/2)*1i)/(x + 3^(1/2)/2 + 1i/2))*((3^(1/2)/2 + 1i/2)^2 + 1))/((1 - (3^(1/2)/2 + 1i/2)^2)^(1/2)*(2*3^(1/2) - 8*(3^(1/2)/2 + 1i/2)^3 + 2i))","B"
13,0,-1,152,0.000000,"\text{Not used}","int((x*atan(x + (1 - x^2)^(1/2)))/(1 - x^2)^(1/2),x)","\int \frac{x\,\mathrm{atan}\left(x+\sqrt{1-x^2}\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*atan(x + (1 - x^2)^(1/2)))/(1 - x^2)^(1/2), x)","F"
14,0,-1,45,0.000000,"\text{Not used}","int(asin(x)/((1 - x^2)^(1/2) + 1),x)","\int \frac{\mathrm{asin}\left(x\right)}{\sqrt{1-x^2}+1} \,d x","Not used",1,"int(asin(x)/((1 - x^2)^(1/2) + 1), x)","F"
15,0,-1,34,0.000000,"\text{Not used}","int(log(x + (x^2 + 1)^(1/2))/(1 - x^2)^(3/2),x)","\int \frac{\ln\left(x+\sqrt{x^2+1}\right)}{{\left(1-x^2\right)}^{3/2}} \,d x","Not used",1,"int(log(x + (x^2 + 1)^(1/2))/(1 - x^2)^(3/2), x)","F"
16,0,-1,22,0.000000,"\text{Not used}","int(asin(x)/(x^2 + 1)^(3/2),x)","\int \frac{\mathrm{asin}\left(x\right)}{{\left(x^2+1\right)}^{3/2}} \,d x","Not used",1,"int(asin(x)/(x^2 + 1)^(3/2), x)","F"
17,0,-1,32,0.000000,"\text{Not used}","int(log(x + (x^2 - 1)^(1/2))/(x^2 + 1)^(3/2),x)","\int \frac{\ln\left(x+\sqrt{x^2-1}\right)}{{\left(x^2+1\right)}^{3/2}} \,d x","Not used",1,"int(log(x + (x^2 - 1)^(1/2))/(x^2 + 1)^(3/2), x)","F"
18,0,-1,43,0.000000,"\text{Not used}","int(log(x)/(x^2*(x^2 - 1)^(1/2)),x)","\int \frac{\ln\left(x\right)}{x^2\,\sqrt{x^2-1}} \,d x","Not used",1,"int(log(x)/(x^2*(x^2 - 1)^(1/2)), x)","F"
19,1,174,28,0.134578,"\text{Not used}","int((x^3 + 1)^(1/2)/x,x)","\frac{2\,\sqrt{x^3+1}}{3}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*(x^3 + 1)^(1/2))/3 - (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
20,0,-1,26,0.000000,"\text{Not used}","int((x*log(x + (x^2 - 1)^(1/2)))/(x^2 - 1)^(1/2),x)","\int \frac{x\,\ln\left(x+\sqrt{x^2-1}\right)}{\sqrt{x^2-1}} \,d x","Not used",1,"int((x*log(x + (x^2 - 1)^(1/2)))/(x^2 - 1)^(1/2), x)","F"
21,0,-1,38,0.000000,"\text{Not used}","int((x^3*asin(x))/(1 - x^4)^(1/2),x)","\int \frac{x^3\,\mathrm{asin}\left(x\right)}{\sqrt{1-x^4}} \,d x","Not used",1,"int((x^3*asin(x))/(1 - x^4)^(1/2), x)","F"
22,0,-1,70,0.000000,"\text{Not used}","int((x^3*acos(1/x))/(x^4 - 1)^(1/2),x)","\int \frac{x^3\,\mathrm{acos}\left(\frac{1}{x}\right)}{\sqrt{x^4-1}} \,d x","Not used",1,"int((x^3*acos(1/x))/(x^4 - 1)^(1/2), x)","F"
23,0,-1,58,0.000000,"\text{Not used}","int((x*atan(x)*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2),x)","\int \frac{x\,\mathrm{atan}\left(x\right)\,\ln\left(x+\sqrt{x^2+1}\right)}{\sqrt{x^2+1}} \,d x","Not used",1,"int((x*atan(x)*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2), x)","F"
24,1,27,55,0.339514,"\text{Not used}","int((x*log((1 - x^2)^(1/2) + 1))/(1 - x^2)^(1/2),x)","-\left(\ln\left(\sqrt{1-x^2}+1\right)-1\right)\,\left(\sqrt{1-x^2}+1\right)","Not used",1,"-(log((1 - x^2)^(1/2) + 1) - 1)*((1 - x^2)^(1/2) + 1)","B"
25,0,-1,26,0.000000,"\text{Not used}","int((x*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2),x)","\int \frac{x\,\ln\left(x+\sqrt{x^2+1}\right)}{\sqrt{x^2+1}} \,d x","Not used",1,"int((x*log(x + (x^2 + 1)^(1/2)))/(x^2 + 1)^(1/2), x)","F"
26,0,-1,78,0.000000,"\text{Not used}","int((x*log(x + (1 - x^2)^(1/2)))/(1 - x^2)^(1/2),x)","\int \frac{x\,\ln\left(x+\sqrt{1-x^2}\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*log(x + (1 - x^2)^(1/2)))/(1 - x^2)^(1/2), x)","F"
27,0,-1,39,0.000000,"\text{Not used}","int(log(x)/(x^2*(1 - x^2)^(1/2)),x)","\int \frac{\ln\left(x\right)}{x^2\,\sqrt{1-x^2}} \,d x","Not used",1,"int(log(x)/(x^2*(1 - x^2)^(1/2)), x)","F"
28,0,-1,17,0.000000,"\text{Not used}","int((x*atan(x))/(x^2 + 1)^(1/2),x)","\int \frac{x\,\mathrm{atan}\left(x\right)}{\sqrt{x^2+1}} \,d x","Not used",1,"int((x*atan(x))/(x^2 + 1)^(1/2), x)","F"
29,0,-1,57,0.000000,"\text{Not used}","int(atan(x)/(x^2*(1 - x^2)^(1/2)),x)","\int \frac{\mathrm{atan}\left(x\right)}{x^2\,\sqrt{1-x^2}} \,d x","Not used",1,"int(atan(x)/(x^2*(1 - x^2)^(1/2)), x)","F"
30,1,37,45,0.030310,"\text{Not used}","int((x*atan(x))/(1 - x^2)^(1/2),x)","\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{\sqrt{1-x^2}}\right)-\mathrm{atan}\left(x\right)\,\sqrt{1-x^2}-\mathrm{asin}\left(x\right)","Not used",1,"2^(1/2)*atan((2^(1/2)*x)/(1 - x^2)^(1/2)) - atan(x)*(1 - x^2)^(1/2) - asin(x)","B"
31,0,-1,29,0.000000,"\text{Not used}","int(atan(x)/(x^2*(x^2 + 1)^(1/2)),x)","\int \frac{\mathrm{atan}\left(x\right)}{x^2\,\sqrt{x^2+1}} \,d x","Not used",1,"int(atan(x)/(x^2*(x^2 + 1)^(1/2)), x)","F"
32,0,-1,21,0.000000,"\text{Not used}","int(asin(x)/(x^2*(1 - x^2)^(1/2)),x)","\int \frac{\mathrm{asin}\left(x\right)}{x^2\,\sqrt{1-x^2}} \,d x","Not used",1,"int(asin(x)/(x^2*(1 - x^2)^(1/2)), x)","F"
33,0,-1,34,0.000000,"\text{Not used}","int((x*log(x))/(x^2 - 1)^(1/2),x)","\int \frac{x\,\ln\left(x\right)}{\sqrt{x^2-1}} \,d x","Not used",1,"int((x*log(x))/(x^2 - 1)^(1/2), x)","F"
34,0,-1,33,0.000000,"\text{Not used}","int(log(x)/(x^2*(x^2 + 1)^(1/2)),x)","\int \frac{\ln\left(x\right)}{x^2\,\sqrt{x^2+1}} \,d x","Not used",1,"int(log(x)/(x^2*(x^2 + 1)^(1/2)), x)","F"
35,0,-1,25,0.000000,"\text{Not used}","int((x*acos(1/x))/(x^2 - 1)^(1/2),x)","\int \frac{x\,\mathrm{acos}\left(\frac{1}{x}\right)}{\sqrt{x^2-1}} \,d x","Not used",1,"int((x*acos(1/x))/(x^2 - 1)^(1/2), x)","F"
36,0,-1,34,0.000000,"\text{Not used}","int((x*log(x))/(x^2 + 1)^(1/2),x)","\int \frac{x\,\ln\left(x\right)}{\sqrt{x^2+1}} \,d x","Not used",1,"int((x*log(x))/(x^2 + 1)^(1/2), x)","F"
37,1,13,16,0.206171,"\text{Not used}","int(sin(x)/(sin(x)^2 + 1),x)","-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\cos\left(x\right)}{2}\right)}{2}","Not used",1,"-(2^(1/2)*atanh((2^(1/2)*cos(x))/2))/2","B"
38,0,-1,23,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int -\frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
39,0,-1,23,0.000000,"\text{Not used}","int(-(x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)),x)","-\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"-int((x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)), x)","F"
40,1,55,22,0.380579,"\text{Not used}","int(log(sin(x))/(sin(x) + 1),x)","-2\,x+\ln\left(2\,\sin\left(x\right)-\cos\left(x\right)\,2{}\mathrm{i}-2{}\mathrm{i}\right)\,\left(-1-\mathrm{i}\right)+\ln\left(2\,\sin\left(x\right)-\cos\left(x\right)\,2{}\mathrm{i}+2{}\mathrm{i}\right)\,\left(1-\mathrm{i}\right)-\frac{2\,\ln\left(\sin\left(x\right)\right)}{\cos\left(x\right)+\sin\left(x\right)\,1{}\mathrm{i}+1{}\mathrm{i}}","Not used",1,"log(2*sin(x) - cos(x)*2i + 2i)*(1 - 1i) - log(2*sin(x) - cos(x)*2i - 2i)*(1 + 1i) - 2*x - (2*log(sin(x)))/(cos(x) + sin(x)*1i + 1i)","B"
41,0,-1,42,0.000000,"\text{Not used}","int(log(sin(x))*(sin(x) + 1)^(1/2),x)","\int \ln\left(\sin\left(x\right)\right)\,\sqrt{\sin\left(x\right)+1} \,d x","Not used",1,"int(log(sin(x))*(sin(x) + 1)^(1/2), x)","F"
42,0,-1,28,0.000000,"\text{Not used}","int(1/(cos(x)*(1/cos(x)^4 - 1)^(1/2)),x)","\int \frac{1}{\cos\left(x\right)\,\sqrt{\frac{1}{{\cos\left(x\right)}^4}-1}} \,d x","Not used",1,"int(1/(cos(x)*(1/cos(x)^4 - 1)^(1/2)), x)","F"
43,0,-1,34,0.000000,"\text{Not used}","int(tan(x)/(tan(x)^4 + 1)^(1/2),x)","\int \frac{\mathrm{tan}\left(x\right)}{\sqrt{{\mathrm{tan}\left(x\right)}^4+1}} \,d x","Not used",1,"int(tan(x)/(tan(x)^4 + 1)^(1/2), x)","F"
44,0,-1,39,0.000000,"\text{Not used}","int(sin(x)/(1 - sin(x)^6)^(1/2),x)","\int \frac{\sin\left(x\right)}{\sqrt{1-{\sin\left(x\right)}^6}} \,d x","Not used",1,"int(sin(x)/(1 - sin(x)^6)^(1/2), x)","F"
45,0,-1,337,0.000000,"\text{Not used}","int(((1/cos(x) + 1)^(1/2) - (1/cos(x) - 1)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{\frac{1}{\cos\left(x\right)}+1}-\sqrt{\frac{1}{\cos\left(x\right)}-1}} \,d x","Not used",1,"int(((1/cos(x) + 1)^(1/2) - (1/cos(x) - 1)^(1/2))^(1/2), x)","F"
46,1,78,77,0.257467,"\text{Not used}","int(x*log(x^2 + 1)*atan(x)^2,x)","\frac{{\ln\left(x^2+1\right)}^2}{4}-\frac{3\,\ln\left(x^2+1\right)}{2}-\frac{3\,{\mathrm{atan}\left(x\right)}^2}{2}+\frac{\ln\left(x^2+1\right)\,{\mathrm{atan}\left(x\right)}^2}{2}+x\,\left(3\,\mathrm{atan}\left(x\right)-\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)\right)-x^2\,\left(\frac{{\mathrm{atan}\left(x\right)}^2}{2}-\frac{\ln\left(x^2+1\right)\,{\mathrm{atan}\left(x\right)}^2}{2}\right)","Not used",1,"log(x^2 + 1)^2/4 - (3*log(x^2 + 1))/2 - (3*atan(x)^2)/2 + (log(x^2 + 1)*atan(x)^2)/2 + x*(3*atan(x) - log(x^2 + 1)*atan(x)) - x^2*(atan(x)^2/2 - (log(x^2 + 1)*atan(x)^2)/2)","B"
47,1,413,120,1.086365,"\text{Not used}","int(atan(x*(x^2 + 1)^(1/2)),x)","x\,\mathrm{atan}\left(x\,\sqrt{x^2+1}\right)-\frac{\left(\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(\frac{x}{2}+\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}+1+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{\left(\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(1+\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}-\frac{x}{2}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{\left(\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(\frac{x}{2}+\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}+1-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{\left(\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(1+\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}-\frac{x}{2}-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+1+\sqrt{3}\,1{}\mathrm{i}\right)}","Not used",1,"x*atan(x*(x^2 + 1)^(1/2)) - ((log(x - (3^(1/2)*1i)/2 - 1/2) - log(x/2 + (3^(1/2)/2 + 1i/2)*(x^2 + 1)^(1/2) + (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 + 1/2)^3 + 1/2))/((((3^(1/2)*1i)/2 + 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 + 1/2)^3 + 1)) - ((log(x - (3^(1/2)*1i)/2 + 1/2) - log((3^(1/2)/2 - 1i/2)*(x^2 + 1)^(1/2) - x/2 + (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 - 1/2)^3 - 1/2))/((((3^(1/2)*1i)/2 - 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 - 1/2)^3 - 1)) - ((log(x + (3^(1/2)*1i)/2 - 1/2) - log(x/2 + (3^(1/2)/2 - 1i/2)*(x^2 + 1)^(1/2) - (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 - 1/2)^3 - 1/2))/((((3^(1/2)*1i)/2 - 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 - 1/2)^3 - 1)) - ((log(x + (3^(1/2)*1i)/2 + 1/2) - log((3^(1/2)/2 + 1i/2)*(x^2 + 1)^(1/2) - x/2 - (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 + 1/2)^3 + 1/2))/((((3^(1/2)*1i)/2 + 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 + 1/2)^3 + 1))","B"
48,1,40,31,0.797155,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2)),x)","x\,\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)+\frac{\sqrt{x}}{2}-\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{4}","Not used",1,"x*atan((x + 1)^(1/2) - x^(1/2)) - (log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/4 + x^(1/2)/2","B"
49,0,-1,29,0.000000,"\text{Not used}","int(asin(x/(1 - x^2)^(1/2)),x)","\int \mathrm{asin}\left(\frac{x}{\sqrt{1-x^2}}\right) \,d x","Not used",1,"int(asin(x/(1 - x^2)^(1/2)), x)","F"
50,1,455,106,1.160311,"\text{Not used}","int(atan(x*(1 - x^2)^(1/2)),x)","x\,\mathrm{atan}\left(x\,\sqrt{1-x^2}\right)+\frac{\ln\left(\frac{\frac{\left(x\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}-1\right)\,1{}\mathrm{i}}{\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}-\sqrt{1-x^2}\,1{}\mathrm{i}}{x-\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\,\left(\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}-2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}-4\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}+\frac{\ln\left(\frac{\frac{\left(x\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}-1\right)\,1{}\mathrm{i}}{\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}-\sqrt{1-x^2}\,1{}\mathrm{i}}{x-\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}\right)\,\left(\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}-2\,{\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}-4\,{\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}^{3/2}\right)\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}+\frac{\ln\left(\frac{\frac{\left(x\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}+1\right)\,1{}\mathrm{i}}{\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\,\left(\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}-2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}-4\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{3/2}\right)\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}+\frac{\ln\left(\frac{\frac{\left(x\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}+1\right)\,1{}\mathrm{i}}{\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}+\sqrt{1-x^2}\,1{}\mathrm{i}}{x+\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}}\right)\,\left(\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}-2\,{\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}^{3/2}\right)}{\left(2\,\sqrt{\frac{1}{2}-\frac{\sqrt{5}}{2}}-4\,{\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}^{3/2}\right)\,\sqrt{\frac{\sqrt{5}}{2}+\frac{1}{2}}}","Not used",1,"x*atan(x*(1 - x^2)^(1/2)) + (log((((x*(5^(1/2)/2 + 1/2)^(1/2) - 1)*1i)/(1/2 - 5^(1/2)/2)^(1/2) - (1 - x^2)^(1/2)*1i)/(x - (5^(1/2)/2 + 1/2)^(1/2)))*((5^(1/2)/2 + 1/2)^(1/2) - 2*(5^(1/2)/2 + 1/2)^(3/2)))/((2*(5^(1/2)/2 + 1/2)^(1/2) - 4*(5^(1/2)/2 + 1/2)^(3/2))*(1/2 - 5^(1/2)/2)^(1/2)) + (log((((x*(1/2 - 5^(1/2)/2)^(1/2) - 1)*1i)/(5^(1/2)/2 + 1/2)^(1/2) - (1 - x^2)^(1/2)*1i)/(x - (1/2 - 5^(1/2)/2)^(1/2)))*((1/2 - 5^(1/2)/2)^(1/2) - 2*(1/2 - 5^(1/2)/2)^(3/2)))/((2*(1/2 - 5^(1/2)/2)^(1/2) - 4*(1/2 - 5^(1/2)/2)^(3/2))*(5^(1/2)/2 + 1/2)^(1/2)) + (log((((x*(5^(1/2)/2 + 1/2)^(1/2) + 1)*1i)/(1/2 - 5^(1/2)/2)^(1/2) + (1 - x^2)^(1/2)*1i)/(x + (5^(1/2)/2 + 1/2)^(1/2)))*((5^(1/2)/2 + 1/2)^(1/2) - 2*(5^(1/2)/2 + 1/2)^(3/2)))/((2*(5^(1/2)/2 + 1/2)^(1/2) - 4*(5^(1/2)/2 + 1/2)^(3/2))*(1/2 - 5^(1/2)/2)^(1/2)) + (log((((x*(1/2 - 5^(1/2)/2)^(1/2) + 1)*1i)/(5^(1/2)/2 + 1/2)^(1/2) + (1 - x^2)^(1/2)*1i)/(x + (1/2 - 5^(1/2)/2)^(1/2)))*((1/2 - 5^(1/2)/2)^(1/2) - 2*(1/2 - 5^(1/2)/2)^(3/2)))/((2*(1/2 - 5^(1/2)/2)^(1/2) - 4*(1/2 - 5^(1/2)/2)^(3/2))*(5^(1/2)/2 + 1/2)^(1/2))","B"