1,1,48,78,0.323916,"\text{Not used}","int(cos(x)^4/(cot(x) + 1i),x)","-\frac{x\,1{}\mathrm{i}}{16}+\frac{-\frac{{\mathrm{tan}\left(x\right)}^4}{16}+\frac{{\mathrm{tan}\left(x\right)}^3\,1{}\mathrm{i}}{16}-\frac{5\,{\mathrm{tan}\left(x\right)}^2}{48}+\frac{\mathrm{tan}\left(x\right)\,5{}\mathrm{i}}{48}+\frac{1}{6}}{{\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)}^2\,{\left(1+\mathrm{tan}\left(x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"((tan(x)*5i)/48 - (5*tan(x)^2)/48 + (tan(x)^3*1i)/16 - tan(x)^4/16 + 1/6)/((tan(x) + 1i)^2*(tan(x)*1i + 1)^3) - (x*1i)/16","B"
2,1,74,29,0.485231,"\text{Not used}","int(cos(x)^3/(cot(x) + 1i),x)","\frac{\left(-15\,{\mathrm{tan}\left(\frac{x}{2}\right)}^6+{\mathrm{tan}\left(\frac{x}{2}\right)}^5\,10{}\mathrm{i}+5\,{\mathrm{tan}\left(\frac{x}{2}\right)}^4+{\mathrm{tan}\left(\frac{x}{2}\right)}^3\,8{}\mathrm{i}-9\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+\mathrm{tan}\left(\frac{x}{2}\right)\,6{}\mathrm{i}+3\right)\,2{}\mathrm{i}}{15\,{\left(1+\mathrm{tan}\left(\frac{x}{2}\right)\,1{}\mathrm{i}\right)}^5\,{\left(\mathrm{tan}\left(\frac{x}{2}\right)+1{}\mathrm{i}\right)}^3}","Not used",1,"((tan(x/2)*6i - 9*tan(x/2)^2 + tan(x/2)^3*8i + 5*tan(x/2)^4 + tan(x/2)^5*10i - 15*tan(x/2)^6 + 3)*2i)/(15*(tan(x/2)*1i + 1)^5*(tan(x/2) + 1i)^3)","B"
3,1,36,50,0.253126,"\text{Not used}","int(cos(x)^2/(cot(x) + 1i),x)","-\frac{x\,1{}\mathrm{i}}{8}+\frac{\frac{{\mathrm{tan}\left(x\right)}^2\,1{}\mathrm{i}}{8}+\frac{\mathrm{tan}\left(x\right)}{8}-\frac{1}{4}{}\mathrm{i}}{\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,{\left(1+\mathrm{tan}\left(x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"(tan(x)/8 + (tan(x)^2*1i)/8 - 1i/4)/((tan(x) + 1i)*(tan(x)*1i + 1)^2) - (x*1i)/8","B"
4,1,40,19,0.276273,"\text{Not used}","int(cos(x)/(cot(x) + 1i),x)","-\frac{\left(-3\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+\mathrm{tan}\left(\frac{x}{2}\right)\,2{}\mathrm{i}+1\right)\,2{}\mathrm{i}}{3\,{\left(1+\mathrm{tan}\left(\frac{x}{2}\right)\,1{}\mathrm{i}\right)}^3\,\left(\mathrm{tan}\left(\frac{x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-((tan(x/2)*2i - 3*tan(x/2)^2 + 1)*2i)/(3*(tan(x/2)*1i + 1)^3*(tan(x/2) + 1i))","B"
5,1,21,18,0.250423,"\text{Not used}","int(1/(cos(x)*(cot(x) + 1i)),x)","-\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)\,2{}\mathrm{i}+\frac{2{}\mathrm{i}}{\mathrm{tan}\left(\frac{x}{2}\right)-\mathrm{i}}","Not used",1,"2i/(tan(x/2) - 1i) - atanh(tan(x/2))*2i","B"
6,1,12,20,0.226550,"\text{Not used}","int(1/(cos(x)^2*(cot(x) + 1i)),x)","\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)-\mathrm{tan}\left(x\right)\,1{}\mathrm{i}","Not used",1,"log(tan(x) - 1i) - tan(x)*1i","B"
7,1,47,22,0.303468,"\text{Not used}","int(1/(cos(x)^3*(cot(x) + 1i)),x)","\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)\,1{}\mathrm{i}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+\mathrm{tan}\left(\frac{x}{2}\right)\,1{}\mathrm{i}-2}{{\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2-1\right)}^2}","Not used",1,"atanh(tan(x/2))*1i - (tan(x/2)*1i + 2*tan(x/2)^2 + tan(x/2)^3*1i - 2)/(tan(x/2)^2 - 1)^2","B"
8,1,13,19,0.200489,"\text{Not used}","int(1/(cos(x)^4*(cot(x) + 1i)),x)","-\frac{{\mathrm{tan}\left(x\right)}^2\,\left(-3+\mathrm{tan}\left(x\right)\,2{}\mathrm{i}\right)}{6}","Not used",1,"-(tan(x)^2*(tan(x)*2i - 3))/6","B"
9,1,81,40,0.460298,"\text{Not used}","int(1/(cos(x)^5*(cot(x) + 1i)),x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)\,1{}\mathrm{i}}{4}-\frac{\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^7\,1{}\mathrm{i}}{4}+2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^6+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^5\,7{}\mathrm{i}}{4}-2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^4+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3\,7{}\mathrm{i}}{4}+\frac{2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{3}+\frac{\mathrm{tan}\left(\frac{x}{2}\right)\,1{}\mathrm{i}}{4}-\frac{2}{3}}{{\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2-1\right)}^4}","Not used",1,"(atanh(tan(x/2))*1i)/4 - ((tan(x/2)*1i)/4 + (2*tan(x/2)^2)/3 + (tan(x/2)^3*7i)/4 - 2*tan(x/2)^4 + (tan(x/2)^5*7i)/4 + 2*tan(x/2)^6 + (tan(x/2)^7*1i)/4 - 2/3)/(tan(x/2)^2 - 1)^4","B"
10,1,27,37,0.211779,"\text{Not used}","int(1/(cos(x)^6*(cot(x) + 1i)),x)","-\frac{{\mathrm{tan}\left(x\right)}^5\,1{}\mathrm{i}}{5}+\frac{{\mathrm{tan}\left(x\right)}^4}{4}-\frac{{\mathrm{tan}\left(x\right)}^3\,1{}\mathrm{i}}{3}+\frac{{\mathrm{tan}\left(x\right)}^2}{2}","Not used",1,"tan(x)^2/2 - (tan(x)^3*1i)/3 + tan(x)^4/4 - (tan(x)^5*1i)/5","B"
11,1,279,126,0.497200,"\text{Not used}","int(cos(x)^4/(a + b*cot(x)),x)","-\frac{\frac{3\,a^2\,b+b^3}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{{\mathrm{tan}\left(x\right)}^3\,\left(a\,b^2-3\,a^3\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{a\,\mathrm{tan}\left(x\right)\,\left(5\,a^2+b^2\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a^2\,b\,{\mathrm{tan}\left(x\right)}^2}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{{\mathrm{tan}\left(x\right)}^4+2\,{\mathrm{tan}\left(x\right)}^2+1}+\frac{\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,\left(-3\,a^2+a\,b\,1{}\mathrm{i}\right)}{16\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}+\frac{\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)\,\left(a\,b-a^2\,3{}\mathrm{i}\right)}{16\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}-\frac{a^4\,b\,\ln\left(b+a\,\mathrm{tan}\left(x\right)\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}","Not used",1,"(log(tan(x) - 1i)*(a*b*1i - 3*a^2))/(16*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - ((3*a^2*b + b^3)/(4*(a^4 + b^4 + 2*a^2*b^2)) + (tan(x)^3*(a*b^2 - 3*a^3))/(8*(a^4 + b^4 + 2*a^2*b^2)) - (a*tan(x)*(5*a^2 + b^2))/(8*(a^4 + b^4 + 2*a^2*b^2)) + (a^2*b*tan(x)^2)/(2*(a^4 + b^4 + 2*a^2*b^2)))/(2*tan(x)^2 + tan(x)^4 + 1) + (log(tan(x) + 1i)*(a*b - a^2*3i))/(16*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (a^4*b*log(b + a*tan(x)))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)","B"
12,1,291,123,0.671036,"\text{Not used}","int(cos(x)^3/(a + b*cot(x)),x)","\frac{2\,a^3\,b\,\mathrm{atanh}\left(\frac{2\,a\,b^4+2\,a^5+4\,a^3\,b^2-2\,b\,\mathrm{tan}\left(\frac{x}{2}\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}{2\,{\left(a^2+b^2\right)}^{5/2}}\right)}{{\left(a^2+b^2\right)}^{5/2}}-\frac{\frac{2\,\left(4\,a^2\,b+b^3\right)}{3\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{4\,{\mathrm{tan}\left(\frac{x}{2}\right)}^3\,\left(2\,a\,b^2-a^3\right)}{3\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{2\,a^3\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^4\,\left(2\,a^2\,b+b^3\right)}{a^4+2\,a^2\,b^2+b^4}-\frac{2\,a^3\,{\mathrm{tan}\left(\frac{x}{2}\right)}^5}{a^4+2\,a^2\,b^2+b^4}+\frac{4\,a^2\,b\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{a^4+2\,a^2\,b^2+b^4}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^6+3\,{\mathrm{tan}\left(\frac{x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+1}","Not used",1,"(2*a^3*b*atanh((2*a*b^4 + 2*a^5 + 4*a^3*b^2 - 2*b*tan(x/2)*(a^4 + b^4 + 2*a^2*b^2))/(2*(a^2 + b^2)^(5/2))))/(a^2 + b^2)^(5/2) - ((2*(4*a^2*b + b^3))/(3*(a^4 + b^4 + 2*a^2*b^2)) + (4*tan(x/2)^3*(2*a*b^2 - a^3))/(3*(a^4 + b^4 + 2*a^2*b^2)) - (2*a^3*tan(x/2))/(a^4 + b^4 + 2*a^2*b^2) + (2*tan(x/2)^4*(2*a^2*b + b^3))/(a^4 + b^4 + 2*a^2*b^2) - (2*a^3*tan(x/2)^5)/(a^4 + b^4 + 2*a^2*b^2) + (4*a^2*b*tan(x/2)^2)/(a^4 + b^4 + 2*a^2*b^2))/(3*tan(x/2)^2 + 3*tan(x/2)^4 + tan(x/2)^6 + 1)","B"
13,1,118,73,0.366021,"\text{Not used}","int(cos(x)^2/(a + b*cot(x)),x)","-{\cos\left(x\right)}^2\,\left(\frac{b}{2\,\left(a^2+b^2\right)}-\frac{a\,\mathrm{tan}\left(x\right)}{2\,\left(a^2+b^2\right)}\right)+\frac{a\,\ln\left(\mathrm{tan}\left(x\right)+1{}\mathrm{i}\right)}{4\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{a^2\,b\,\ln\left(b+a\,\mathrm{tan}\left(x\right)\right)}{{\left(a^2+b^2\right)}^2}+\frac{a\,\ln\left(\mathrm{tan}\left(x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{4\,\left(-a^2+a\,b\,2{}\mathrm{i}+b^2\right)}","Not used",1,"(a*log(tan(x) - 1i)*1i)/(4*(a*b*2i - a^2 + b^2)) - cos(x)^2*(b/(2*(a^2 + b^2)) - (a*tan(x))/(2*(a^2 + b^2))) + (a*log(tan(x) + 1i))/(4*(2*a*b - a^2*1i + b^2*1i)) - (a^2*b*log(b + a*tan(x)))/(a^2 + b^2)^2","B"
14,1,93,65,0.375759,"\text{Not used}","int(cos(x)/(a + b*cot(x)),x)","\frac{2\,a\,b\,\mathrm{atanh}\left(\frac{2\,a\,b^2+2\,a^3-2\,b\,\mathrm{tan}\left(\frac{x}{2}\right)\,\left(a^2+b^2\right)}{2\,{\left(a^2+b^2\right)}^{3/2}}\right)}{{\left(a^2+b^2\right)}^{3/2}}-\frac{\frac{2\,b}{a^2+b^2}-\frac{2\,a\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^2+1}","Not used",1,"(2*a*b*atanh((2*a*b^2 + 2*a^3 - 2*b*tan(x/2)*(a^2 + b^2))/(2*(a^2 + b^2)^(3/2))))/(a^2 + b^2)^(3/2) - ((2*b)/(a^2 + b^2) - (2*a*tan(x/2))/(a^2 + b^2))/(tan(x/2)^2 + 1)","B"
15,1,408,47,0.657035,"\text{Not used}","int(1/(cos(x)*(a + b*cot(x))),x)","\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{a}-\frac{2\,b\,\mathrm{atanh}\left(\frac{64\,b^3}{\sqrt{a^2+b^2}\,\left(128\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}+\frac{64\,a\,b^3}{a^2+b^2}\right)}-\frac{64\,b^5}{{\left(a^2+b^2\right)}^{3/2}\,\left(128\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}+\frac{64\,a\,b^3}{a^2+b^2}\right)}+\frac{128\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}\,\left(\frac{64\,a^2\,b^3}{a^2+b^2}+128\,a\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,a\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}\right)}-\frac{128\,b^6\,\mathrm{tan}\left(\frac{x}{2}\right)}{{\left(a^2+b^2\right)}^{3/2}\,\left(\frac{64\,a^2\,b^3}{a^2+b^2}+128\,a\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,a\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}\right)}+\frac{128\,a\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}\,\left(128\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}+\frac{64\,a\,b^3}{a^2+b^2}\right)}-\frac{192\,a\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{{\left(a^2+b^2\right)}^{3/2}\,\left(128\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)-\frac{128\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a^2+b^2}+\frac{64\,a\,b^3}{a^2+b^2}\right)}\right)}{a\,\sqrt{a^2+b^2}}","Not used",1,"(2*atanh(tan(x/2)))/a - (2*b*atanh((64*b^3)/((a^2 + b^2)^(1/2)*(128*b^2*tan(x/2) - (128*b^4*tan(x/2))/(a^2 + b^2) + (64*a*b^3)/(a^2 + b^2))) - (64*b^5)/((a^2 + b^2)^(3/2)*(128*b^2*tan(x/2) - (128*b^4*tan(x/2))/(a^2 + b^2) + (64*a*b^3)/(a^2 + b^2))) + (128*b^4*tan(x/2))/((a^2 + b^2)^(1/2)*((64*a^2*b^3)/(a^2 + b^2) + 128*a*b^2*tan(x/2) - (128*a*b^4*tan(x/2))/(a^2 + b^2))) - (128*b^6*tan(x/2))/((a^2 + b^2)^(3/2)*((64*a^2*b^3)/(a^2 + b^2) + 128*a*b^2*tan(x/2) - (128*a*b^4*tan(x/2))/(a^2 + b^2))) + (128*a*b^2*tan(x/2))/((a^2 + b^2)^(1/2)*(128*b^2*tan(x/2) - (128*b^4*tan(x/2))/(a^2 + b^2) + (64*a*b^3)/(a^2 + b^2))) - (192*a*b^4*tan(x/2))/((a^2 + b^2)^(3/2)*(128*b^2*tan(x/2) - (128*b^4*tan(x/2))/(a^2 + b^2) + (64*a*b^3)/(a^2 + b^2)))))/(a*(a^2 + b^2)^(1/2))","B"
16,1,20,29,0.199788,"\text{Not used}","int(1/(cos(x)^2*(a + b*cot(x))),x)","\frac{\mathrm{tan}\left(x\right)}{a}-\frac{b\,\ln\left(b+a\,\mathrm{tan}\left(x\right)\right)}{a^2}","Not used",1,"tan(x)/a - (b*log(b + a*tan(x)))/a^2","B"
17,1,346,79,0.579983,"\text{Not used}","int(1/(cos(x)^3*(a + b*cot(x))),x)","\frac{\frac{\mathrm{tan}\left(\frac{x}{2}\right)}{a}-\frac{2\,b}{a^2}+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3}{a}+\frac{2\,b\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{a^2}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+1}+\frac{\mathrm{atanh}\left(\frac{24\,b^3\,\mathrm{tan}\left(\frac{x}{2}\right)}{8\,a^2\,b+24\,b^3+\frac{16\,b^5}{a^2}}+\frac{16\,b^5\,\mathrm{tan}\left(\frac{x}{2}\right)}{8\,a^4\,b+24\,a^2\,b^3+16\,b^5}+\frac{8\,a\,b\,\mathrm{tan}\left(\frac{x}{2}\right)}{8\,a\,b+\frac{24\,b^3}{a}+\frac{16\,b^5}{a^3}}\right)\,\left(a^2+2\,b^2\right)}{a^3}-\frac{2\,b\,\mathrm{atanh}\left(\frac{16\,b^3\,\sqrt{a^2+b^2}}{32\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)+16\,a\,b^3+\frac{16\,b^5}{a}+32\,a^2\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)}+\frac{32\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)\,\sqrt{a^2+b^2}}{16\,b^3+\frac{16\,b^5}{a^2}+\frac{32\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)}{a}+32\,a\,b^2\,\mathrm{tan}\left(\frac{x}{2}\right)}+\frac{16\,b^4\,\mathrm{tan}\left(\frac{x}{2}\right)\,\sqrt{a^2+b^2}}{32\,\mathrm{tan}\left(\frac{x}{2}\right)\,a^3\,b^2+16\,a^2\,b^3+32\,\mathrm{tan}\left(\frac{x}{2}\right)\,a\,b^4+16\,b^5}\right)\,\sqrt{a^2+b^2}}{a^3}","Not used",1,"(tan(x/2)/a - (2*b)/a^2 + tan(x/2)^3/a + (2*b*tan(x/2)^2)/a^2)/(tan(x/2)^4 - 2*tan(x/2)^2 + 1) + (atanh((24*b^3*tan(x/2))/(8*a^2*b + 24*b^3 + (16*b^5)/a^2) + (16*b^5*tan(x/2))/(8*a^4*b + 16*b^5 + 24*a^2*b^3) + (8*a*b*tan(x/2))/(8*a*b + (24*b^3)/a + (16*b^5)/a^3))*(a^2 + 2*b^2))/a^3 - (2*b*atanh((16*b^3*(a^2 + b^2)^(1/2))/(32*b^4*tan(x/2) + 16*a*b^3 + (16*b^5)/a + 32*a^2*b^2*tan(x/2)) + (32*b^2*tan(x/2)*(a^2 + b^2)^(1/2))/(16*b^3 + (16*b^5)/a^2 + (32*b^4*tan(x/2))/a + 32*a*b^2*tan(x/2)) + (16*b^4*tan(x/2)*(a^2 + b^2)^(1/2))/(16*b^5 + 16*a^2*b^3 + 32*a^3*b^2*tan(x/2) + 32*a*b^4*tan(x/2)))*(a^2 + b^2)^(1/2))/a^3","B"
18,1,55,73,0.223489,"\text{Not used}","int(1/(cos(x)^4*(a + b*cot(x))),x)","\mathrm{tan}\left(x\right)\,\left(\frac{1}{a}+\frac{b^2}{a^3}\right)+\frac{{\mathrm{tan}\left(x\right)}^3}{3\,a}-\frac{\ln\left(b+a\,\mathrm{tan}\left(x\right)\right)\,\left(a^2\,b+b^3\right)}{a^4}-\frac{b\,{\mathrm{tan}\left(x\right)}^2}{2\,a^2}","Not used",1,"tan(x)*(1/a + b^2/a^3) + tan(x)^3/(3*a) - (log(b + a*tan(x))*(a^2*b + b^3))/a^4 - (b*tan(x)^2)/(2*a^2)","B"
19,1,54,25,0.322364,"\text{Not used}","int(1/(cos(x)*(2*cot(x) + 1)),x)","2\,\mathrm{atanh}\left(\frac{\sin\left(\frac{x}{2}\right)}{\cos\left(\frac{x}{2}\right)}\right)-\frac{4\,\sqrt{5}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\left(3\,\sqrt{5}\,\sin\left(\frac{x}{2}\right)+\sqrt{5}\,\cos\left(\frac{x}{2}\right)\right)}{10\,\cos\left(\frac{x}{2}-\frac{\pi }{4}\right)}\right)}{5}","Not used",1,"2*atanh(sin(x/2)/cos(x/2)) - (4*5^(1/2)*atanh((2^(1/2)*(3*5^(1/2)*sin(x/2) + 5^(1/2)*cos(x/2)))/(10*cos(x/2 - pi/4))))/5","B"