1,0,-1,101,0.000000,"\text{Not used}","int(x^3*cot(a + b*x),x)","\int x^3\,\mathrm{cot}\left(a+b\,x\right) \,d x","Not used",1,"int(x^3*cot(a + b*x), x)","F"
2,0,-1,74,0.000000,"\text{Not used}","int(x^2*cot(a + b*x),x)","\int x^2\,\mathrm{cot}\left(a+b\,x\right) \,d x","Not used",1,"int(x^2*cot(a + b*x), x)","F"
3,0,-1,53,0.000000,"\text{Not used}","int(x*cot(a + b*x),x)","\int x\,\mathrm{cot}\left(a+b\,x\right) \,d x","Not used",1,"int(x*cot(a + b*x), x)","F"
4,0,-1,13,0.000000,"\text{Not used}","int(cot(a + b*x)/x,x)","\int \frac{\mathrm{cot}\left(a+b\,x\right)}{x} \,d x","Not used",0,"int(cot(a + b*x)/x, x)","F"
5,0,-1,13,0.000000,"\text{Not used}","int(cot(a + b*x)/x^2,x)","\int \frac{\mathrm{cot}\left(a+b\,x\right)}{x^2} \,d x","Not used",0,"int(cot(a + b*x)/x^2, x)","F"
6,0,-1,97,0.000000,"\text{Not used}","int(x^3*cot(a + b*x)^2,x)","\int x^3\,{\mathrm{cot}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^3*cot(a + b*x)^2, x)","F"
7,0,-1,74,0.000000,"\text{Not used}","int(x^2*cot(a + b*x)^2,x)","\int x^2\,{\mathrm{cot}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^2*cot(a + b*x)^2, x)","F"
8,1,54,31,0.452056,"\text{Not used}","int(x*cot(a + b*x)^2,x)","\frac{\ln\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,2{}\mathrm{i}}-1\right)}{b^2}-\frac{x\,2{}\mathrm{i}}{b}-\frac{x^2}{2}-\frac{x\,2{}\mathrm{i}}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}","Not used",1,"log(exp(a*2i)*exp(b*x*2i) - 1)/b^2 - (x*2i)/b - x^2/2 - (x*2i)/(b*(exp(a*2i + b*x*2i) - 1))","B"
9,0,-1,15,0.000000,"\text{Not used}","int(cot(a + b*x)^2/x,x)","\int \frac{{\mathrm{cot}\left(a+b\,x\right)}^2}{x} \,d x","Not used",0,"int(cot(a + b*x)^2/x, x)","F"
10,0,-1,15,0.000000,"\text{Not used}","int(cot(a + b*x)^2/x^2,x)","\int \frac{{\mathrm{cot}\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",0,"int(cot(a + b*x)^2/x^2, x)","F"
11,0,-1,202,0.000000,"\text{Not used}","int(x^3*cot(a + b*x)^3,x)","\int x^3\,{\mathrm{cot}\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(x^3*cot(a + b*x)^3, x)","F"
12,0,-1,126,0.000000,"\text{Not used}","int(x^2*cot(a + b*x)^3,x)","\int x^2\,{\mathrm{cot}\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(x^2*cot(a + b*x)^3, x)","F"
13,0,-1,91,0.000000,"\text{Not used}","int(x*cot(a + b*x)^3,x)","\int x\,{\mathrm{cot}\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(x*cot(a + b*x)^3, x)","F"
14,0,-1,15,0.000000,"\text{Not used}","int(cot(a + b*x)^3/x,x)","\int \frac{{\mathrm{cot}\left(a+b\,x\right)}^3}{x} \,d x","Not used",0,"int(cot(a + b*x)^3/x, x)","F"
15,0,-1,15,0.000000,"\text{Not used}","int(cot(a + b*x)^3/x^2,x)","\int \frac{{\mathrm{cot}\left(a+b\,x\right)}^3}{x^2} \,d x","Not used",0,"int(cot(a + b*x)^3/x^2, x)","F"
16,1,423,189,1.235787,"\text{Not used}","int((c + d*x)^3/(a + a*cot(e + f*x)*1i),x)","\frac{3\,d^3\,\cos\left(2\,e+2\,f\,x\right)+8\,c^3\,f^4\,x-4\,c^3\,f^3\,\sin\left(2\,e+2\,f\,x\right)+2\,d^3\,f^4\,x^4-6\,c^2\,d\,f^2\,\cos\left(2\,e+2\,f\,x\right)+12\,c^2\,d\,f^4\,x^2+8\,c\,d^2\,f^4\,x^3-6\,d^3\,f^2\,x^2\,\cos\left(2\,e+2\,f\,x\right)-4\,d^3\,f^3\,x^3\,\sin\left(2\,e+2\,f\,x\right)+6\,c\,d^2\,f\,\sin\left(2\,e+2\,f\,x\right)+6\,d^3\,f\,x\,\sin\left(2\,e+2\,f\,x\right)-12\,c\,d^2\,f^2\,x\,\cos\left(2\,e+2\,f\,x\right)-12\,c^2\,d\,f^3\,x\,\sin\left(2\,e+2\,f\,x\right)-12\,c\,d^2\,f^3\,x^2\,\sin\left(2\,e+2\,f\,x\right)+d^3\,\sin\left(2\,e+2\,f\,x\right)\,3{}\mathrm{i}+c^3\,f^3\,\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}-c^2\,d\,f^2\,\sin\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+d^3\,f^3\,x^3\,\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}-d^3\,f^2\,x^2\,\sin\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}-c\,d^2\,f\,\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}-d^3\,f\,x\,\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+c^2\,d\,f^3\,x\,\cos\left(2\,e+2\,f\,x\right)\,12{}\mathrm{i}-c\,d^2\,f^2\,x\,\sin\left(2\,e+2\,f\,x\right)\,12{}\mathrm{i}+c\,d^2\,f^3\,x^2\,\cos\left(2\,e+2\,f\,x\right)\,12{}\mathrm{i}}{16\,a\,f^4}","Not used",1,"(3*d^3*cos(2*e + 2*f*x) + d^3*sin(2*e + 2*f*x)*3i + 8*c^3*f^4*x + c^3*f^3*cos(2*e + 2*f*x)*4i - 4*c^3*f^3*sin(2*e + 2*f*x) + 2*d^3*f^4*x^4 - 6*c^2*d*f^2*cos(2*e + 2*f*x) - c^2*d*f^2*sin(2*e + 2*f*x)*6i + 12*c^2*d*f^4*x^2 + 8*c*d^2*f^4*x^3 - 6*d^3*f^2*x^2*cos(2*e + 2*f*x) + d^3*f^3*x^3*cos(2*e + 2*f*x)*4i - d^3*f^2*x^2*sin(2*e + 2*f*x)*6i - 4*d^3*f^3*x^3*sin(2*e + 2*f*x) - c*d^2*f*cos(2*e + 2*f*x)*6i + 6*c*d^2*f*sin(2*e + 2*f*x) - d^3*f*x*cos(2*e + 2*f*x)*6i + 6*d^3*f*x*sin(2*e + 2*f*x) - 12*c*d^2*f^2*x*cos(2*e + 2*f*x) + c^2*d*f^3*x*cos(2*e + 2*f*x)*12i - c*d^2*f^2*x*sin(2*e + 2*f*x)*12i - 12*c^2*d*f^3*x*sin(2*e + 2*f*x) + c*d^2*f^3*x^2*cos(2*e + 2*f*x)*12i - 12*c*d^2*f^3*x^2*sin(2*e + 2*f*x))/(16*a*f^4)","B"
17,1,241,137,0.768896,"\text{Not used}","int((c + d*x)^2/(a + a*cot(e + f*x)*1i),x)","-\frac{6\,c^2\,f^2\,\sin\left(2\,e+2\,f\,x\right)-12\,c^2\,f^3\,x-3\,d^2\,\sin\left(2\,e+2\,f\,x\right)-4\,d^2\,f^3\,x^3+6\,c\,d\,f\,\cos\left(2\,e+2\,f\,x\right)+6\,d^2\,f^2\,x^2\,\sin\left(2\,e+2\,f\,x\right)-12\,c\,d\,f^3\,x^2+6\,d^2\,f\,x\,\cos\left(2\,e+2\,f\,x\right)+12\,c\,d\,f^2\,x\,\sin\left(2\,e+2\,f\,x\right)+d^2\,\cos\left(2\,e+2\,f\,x\right)\,3{}\mathrm{i}-c^2\,f^2\,\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+c\,d\,f\,\sin\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}-d^2\,f^2\,x^2\,\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+d^2\,f\,x\,\sin\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}-c\,d\,f^2\,x\,\cos\left(2\,e+2\,f\,x\right)\,12{}\mathrm{i}}{24\,a\,f^3}","Not used",1,"-(d^2*cos(2*e + 2*f*x)*3i - 3*d^2*sin(2*e + 2*f*x) - 12*c^2*f^3*x - c^2*f^2*cos(2*e + 2*f*x)*6i + 6*c^2*f^2*sin(2*e + 2*f*x) - 4*d^2*f^3*x^3 + 6*c*d*f*cos(2*e + 2*f*x) + c*d*f*sin(2*e + 2*f*x)*6i - d^2*f^2*x^2*cos(2*e + 2*f*x)*6i + 6*d^2*f^2*x^2*sin(2*e + 2*f*x) - 12*c*d*f^3*x^2 + 6*d^2*f*x*cos(2*e + 2*f*x) + d^2*f*x*sin(2*e + 2*f*x)*6i - c*d*f^2*x*cos(2*e + 2*f*x)*12i + 12*c*d*f^2*x*sin(2*e + 2*f*x))/(24*a*f^3)","B"
18,1,105,84,0.382179,"\text{Not used}","int((c + d*x)/(a + a*cot(e + f*x)*1i),x)","-\frac{d\,\cos\left(2\,e+2\,f\,x\right)-2\,d\,f^2\,x^2+2\,c\,f\,\sin\left(2\,e+2\,f\,x\right)-4\,c\,f^2\,x+2\,d\,f\,x\,\sin\left(2\,e+2\,f\,x\right)+d\,\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-c\,f\,\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}-d\,f\,x\,\cos\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}}{8\,a\,f^2}","Not used",1,"-(d*cos(2*e + 2*f*x) + d*sin(2*e + 2*f*x)*1i - 2*d*f^2*x^2 - c*f*cos(2*e + 2*f*x)*2i + 2*c*f*sin(2*e + 2*f*x) - 4*c*f^2*x - d*f*x*cos(2*e + 2*f*x)*2i + 2*d*f*x*sin(2*e + 2*f*x))/(8*a*f^2)","B"
19,0,-1,161,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)),x)","\int \frac{1}{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)), x)","F"
20,0,-1,166,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)^2),x)","\int \frac{1}{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)^2), x)","F"
21,0,-1,227,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)^3),x)","\int \frac{1}{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)*(c + d*x)^3), x)","F"
22,1,294,270,1.119442,"\text{Not used}","int((c + d*x)^3/(a + a*cot(e + f*x)*1i)^2,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(-\frac{\left(-4\,c^3\,f^3-c^2\,d\,f^2\,6{}\mathrm{i}+6\,c\,d^2\,f+d^3\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^2\,f^4}+\frac{d^3\,x^3\,1{}\mathrm{i}}{4\,a^2\,f}+\frac{d\,x\,\left(2\,c^2\,f^2+c\,d\,f\,2{}\mathrm{i}-d^2\right)\,3{}\mathrm{i}}{8\,a^2\,f^3}+\frac{d^2\,x^2\,\left(2\,c\,f+d\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a^2\,f^2}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(-\frac{\left(-32\,c^3\,f^3-c^2\,d\,f^2\,24{}\mathrm{i}+12\,c\,d^2\,f+d^3\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{512\,a^2\,f^4}+\frac{d^3\,x^3\,1{}\mathrm{i}}{16\,a^2\,f}+\frac{d\,x\,\left(8\,c^2\,f^2+c\,d\,f\,4{}\mathrm{i}-d^2\right)\,3{}\mathrm{i}}{128\,a^2\,f^3}+\frac{d^2\,x^2\,\left(4\,c\,f+d\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{64\,a^2\,f^2}\right)+\frac{c^3\,x}{4\,a^2}+\frac{d^3\,x^4}{16\,a^2}+\frac{3\,c^2\,d\,x^2}{8\,a^2}+\frac{c\,d^2\,x^3}{4\,a^2}","Not used",1,"exp(e*2i + f*x*2i)*((d^3*x^3*1i)/(4*a^2*f) - ((d^3*3i - 4*c^3*f^3 - c^2*d*f^2*6i + 6*c*d^2*f)*1i)/(16*a^2*f^4) + (d*x*(2*c^2*f^2 - d^2 + c*d*f*2i)*3i)/(8*a^2*f^3) + (d^2*x^2*(d*1i + 2*c*f)*3i)/(8*a^2*f^2)) - exp(e*4i + f*x*4i)*((d^3*x^3*1i)/(16*a^2*f) - ((d^3*3i - 32*c^3*f^3 - c^2*d*f^2*24i + 12*c*d^2*f)*1i)/(512*a^2*f^4) + (d*x*(8*c^2*f^2 - d^2 + c*d*f*4i)*3i)/(128*a^2*f^3) + (d^2*x^2*(d*1i + 4*c*f)*3i)/(64*a^2*f^2)) + (c^3*x)/(4*a^2) + (d^3*x^4)/(16*a^2) + (3*c^2*d*x^2)/(8*a^2) + (c*d^2*x^3)/(4*a^2)","B"
23,1,186,202,0.578969,"\text{Not used}","int((c + d*x)^2/(a + a*cot(e + f*x)*1i)^2,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(\frac{\left(2\,c^2\,f^2+c\,d\,f\,2{}\mathrm{i}-d^2\right)\,1{}\mathrm{i}}{8\,a^2\,f^3}+\frac{d^2\,x^2\,1{}\mathrm{i}}{4\,a^2\,f}+\frac{d\,x\,\left(2\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^2\,f^2}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(\frac{\left(8\,c^2\,f^2+c\,d\,f\,4{}\mathrm{i}-d^2\right)\,1{}\mathrm{i}}{128\,a^2\,f^3}+\frac{d^2\,x^2\,1{}\mathrm{i}}{16\,a^2\,f}+\frac{d\,x\,\left(4\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^2\,f^2}\right)+\frac{c^2\,x}{4\,a^2}+\frac{d^2\,x^3}{12\,a^2}+\frac{c\,d\,x^2}{4\,a^2}","Not used",1,"exp(e*2i + f*x*2i)*(((2*c^2*f^2 - d^2 + c*d*f*2i)*1i)/(8*a^2*f^3) + (d^2*x^2*1i)/(4*a^2*f) + (d*x*(d*1i + 2*c*f)*1i)/(4*a^2*f^2)) - exp(e*4i + f*x*4i)*(((8*c^2*f^2 - d^2 + c*d*f*4i)*1i)/(128*a^2*f^3) + (d^2*x^2*1i)/(16*a^2*f) + (d*x*(d*1i + 4*c*f)*1i)/(32*a^2*f^2)) + (c^2*x)/(4*a^2) + (d^2*x^3)/(12*a^2) + (c*d*x^2)/(4*a^2)","B"
24,1,102,151,0.338249,"\text{Not used}","int((c + d*x)/(a + a*cot(e + f*x)*1i)^2,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(\frac{\left(2\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,f^2}+\frac{d\,x\,1{}\mathrm{i}}{4\,a^2\,f}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(\frac{\left(4\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{64\,a^2\,f^2}+\frac{d\,x\,1{}\mathrm{i}}{16\,a^2\,f}\right)+\frac{d\,x^2}{8\,a^2}+\frac{c\,x}{4\,a^2}","Not used",1,"exp(e*2i + f*x*2i)*(((d*1i + 2*c*f)*1i)/(8*a^2*f^2) + (d*x*1i)/(4*a^2*f)) - exp(e*4i + f*x*4i)*(((d*1i + 4*c*f)*1i)/(64*a^2*f^2) + (d*x*1i)/(16*a^2*f)) + (d*x^2)/(8*a^2) + (c*x)/(4*a^2)","B"
25,0,-1,305,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)^2*(c + d*x)),x)","\int \frac{1}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,\left(c+d\,x\right)} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)^2*(c + d*x)), x)","F"
26,0,-1,434,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)^2*(c + d*x)^2),x)","\int \frac{1}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)^2*(c + d*x)^2), x)","F"
27,1,418,396,1.624134,"\text{Not used}","int((c + d*x)^3/(a + a*cot(e + f*x)*1i)^3,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(-\frac{\left(-12\,c^3\,f^3-c^2\,d\,f^2\,18{}\mathrm{i}+18\,c\,d^2\,f+d^3\,9{}\mathrm{i}\right)\,1{}\mathrm{i}}{64\,a^3\,f^4}+\frac{d^3\,x^3\,3{}\mathrm{i}}{16\,a^3\,f}+\frac{d\,x\,\left(2\,c^2\,f^2+c\,d\,f\,2{}\mathrm{i}-d^2\right)\,9{}\mathrm{i}}{32\,a^3\,f^3}+\frac{d^2\,x^2\,\left(2\,c\,f+d\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{32\,a^3\,f^2}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(-\frac{\left(-96\,c^3\,f^3-c^2\,d\,f^2\,72{}\mathrm{i}+36\,c\,d^2\,f+d^3\,9{}\mathrm{i}\right)\,1{}\mathrm{i}}{1024\,a^3\,f^4}+\frac{d^3\,x^3\,3{}\mathrm{i}}{32\,a^3\,f}+\frac{d\,x\,\left(8\,c^2\,f^2+c\,d\,f\,4{}\mathrm{i}-d^2\right)\,9{}\mathrm{i}}{256\,a^3\,f^3}+\frac{d^2\,x^2\,\left(4\,c\,f+d\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{128\,a^3\,f^2}\right)+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(-\frac{\left(-36\,c^3\,f^3-c^2\,d\,f^2\,18{}\mathrm{i}+6\,c\,d^2\,f+d^3\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{1728\,a^3\,f^4}+\frac{d^3\,x^3\,1{}\mathrm{i}}{48\,a^3\,f}+\frac{d\,x\,\left(18\,c^2\,f^2+c\,d\,f\,6{}\mathrm{i}-d^2\right)\,1{}\mathrm{i}}{288\,a^3\,f^3}+\frac{d^2\,x^2\,\left(6\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{96\,a^3\,f^2}\right)+\frac{c^3\,x}{8\,a^3}+\frac{d^3\,x^4}{32\,a^3}+\frac{3\,c^2\,d\,x^2}{16\,a^3}+\frac{c\,d^2\,x^3}{8\,a^3}","Not used",1,"exp(e*2i + f*x*2i)*((d^3*x^3*3i)/(16*a^3*f) - ((d^3*9i - 12*c^3*f^3 - c^2*d*f^2*18i + 18*c*d^2*f)*1i)/(64*a^3*f^4) + (d*x*(2*c^2*f^2 - d^2 + c*d*f*2i)*9i)/(32*a^3*f^3) + (d^2*x^2*(d*1i + 2*c*f)*9i)/(32*a^3*f^2)) - exp(e*4i + f*x*4i)*((d^3*x^3*3i)/(32*a^3*f) - ((d^3*9i - 96*c^3*f^3 - c^2*d*f^2*72i + 36*c*d^2*f)*1i)/(1024*a^3*f^4) + (d*x*(8*c^2*f^2 - d^2 + c*d*f*4i)*9i)/(256*a^3*f^3) + (d^2*x^2*(d*1i + 4*c*f)*9i)/(128*a^3*f^2)) + exp(e*6i + f*x*6i)*((d^3*x^3*1i)/(48*a^3*f) - ((d^3*1i - 36*c^3*f^3 - c^2*d*f^2*18i + 6*c*d^2*f)*1i)/(1728*a^3*f^4) + (d*x*(18*c^2*f^2 - d^2 + c*d*f*6i)*1i)/(288*a^3*f^3) + (d^2*x^2*(d*1i + 6*c*f)*1i)/(96*a^3*f^2)) + (c^3*x)/(8*a^3) + (d^3*x^4)/(32*a^3) + (3*c^2*d*x^2)/(16*a^3) + (c*d^2*x^3)/(8*a^3)","B"
28,1,263,294,1.001019,"\text{Not used}","int((c + d*x)^2/(a + a*cot(e + f*x)*1i)^3,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(\frac{\left(6\,c^2\,f^2+c\,d\,f\,6{}\mathrm{i}-3\,d^2\right)\,1{}\mathrm{i}}{32\,a^3\,f^3}+\frac{d^2\,x^2\,3{}\mathrm{i}}{16\,a^3\,f}+\frac{d\,x\,\left(2\,c\,f+d\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{16\,a^3\,f^2}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(\frac{\left(24\,c^2\,f^2+c\,d\,f\,12{}\mathrm{i}-3\,d^2\right)\,1{}\mathrm{i}}{256\,a^3\,f^3}+\frac{d^2\,x^2\,3{}\mathrm{i}}{32\,a^3\,f}+\frac{d\,x\,\left(4\,c\,f+d\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{64\,a^3\,f^2}\right)+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(\frac{\left(18\,c^2\,f^2+c\,d\,f\,6{}\mathrm{i}-d^2\right)\,1{}\mathrm{i}}{864\,a^3\,f^3}+\frac{d^2\,x^2\,1{}\mathrm{i}}{48\,a^3\,f}+\frac{d\,x\,\left(6\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{144\,a^3\,f^2}\right)+\frac{c^2\,x}{8\,a^3}+\frac{d^2\,x^3}{24\,a^3}+\frac{c\,d\,x^2}{8\,a^3}","Not used",1,"exp(e*2i + f*x*2i)*(((6*c^2*f^2 - 3*d^2 + c*d*f*6i)*1i)/(32*a^3*f^3) + (d^2*x^2*3i)/(16*a^3*f) + (d*x*(d*1i + 2*c*f)*3i)/(16*a^3*f^2)) - exp(e*4i + f*x*4i)*(((24*c^2*f^2 - 3*d^2 + c*d*f*12i)*1i)/(256*a^3*f^3) + (d^2*x^2*3i)/(32*a^3*f) + (d*x*(d*1i + 4*c*f)*3i)/(64*a^3*f^2)) + exp(e*6i + f*x*6i)*(((18*c^2*f^2 - d^2 + c*d*f*6i)*1i)/(864*a^3*f^3) + (d^2*x^2*1i)/(48*a^3*f) + (d*x*(d*1i + 6*c*f)*1i)/(144*a^3*f^2)) + (c^2*x)/(8*a^3) + (d^2*x^3)/(24*a^3) + (c*d*x^2)/(8*a^3)","B"
29,1,144,209,0.624867,"\text{Not used}","int((c + d*x)/(a + a*cot(e + f*x)*1i)^3,x)","{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(\frac{\left(6\,c\,f+d\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^3\,f^2}+\frac{d\,x\,3{}\mathrm{i}}{16\,a^3\,f}\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(\frac{\left(12\,c\,f+d\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{128\,a^3\,f^2}+\frac{d\,x\,3{}\mathrm{i}}{32\,a^3\,f}\right)+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(\frac{\left(6\,c\,f+d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{288\,a^3\,f^2}+\frac{d\,x\,1{}\mathrm{i}}{48\,a^3\,f}\right)+\frac{d\,x^2}{16\,a^3}+\frac{c\,x}{8\,a^3}","Not used",1,"exp(e*2i + f*x*2i)*(((d*3i + 6*c*f)*1i)/(32*a^3*f^2) + (d*x*3i)/(16*a^3*f)) - exp(e*4i + f*x*4i)*(((d*3i + 12*c*f)*1i)/(128*a^3*f^2) + (d*x*3i)/(32*a^3*f)) + exp(e*6i + f*x*6i)*(((d*1i + 6*c*f)*1i)/(288*a^3*f^2) + (d*x*1i)/(48*a^3*f)) + (d*x^2)/(16*a^3) + (c*x)/(8*a^3)","B"
30,0,-1,449,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)^3*(c + d*x)),x)","\int \frac{1}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,\left(c+d\,x\right)} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)^3*(c + d*x)), x)","F"
31,0,-1,712,0.000000,"\text{Not used}","int(1/((a + a*cot(e + f*x)*1i)^3*(c + d*x)^2),x)","\int \frac{1}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int(1/((a + a*cot(e + f*x)*1i)^3*(c + d*x)^2), x)","F"
32,0,-1,26,0.000000,"\text{Not used}","int((a + a*cot(e + f*x)*1i)^2*(c + d*x)^m,x)","\int {\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,{\left(c+d\,x\right)}^m \,d x","Not used",0,"int((a + a*cot(e + f*x)*1i)^2*(c + d*x)^m, x)","F"
33,0,-1,24,0.000000,"\text{Not used}","int((a + a*cot(e + f*x)*1i)*(c + d*x)^m,x)","\int \left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(c+d\,x\right)}^m \,d x","Not used",0,"int((a + a*cot(e + f*x)*1i)*(c + d*x)^m, x)","F"
34,0,-1,98,0.000000,"\text{Not used}","int((c + d*x)^m/(a + a*cot(e + f*x)*1i),x)","\int \frac{{\left(c+d\,x\right)}^m}{a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((c + d*x)^m/(a + a*cot(e + f*x)*1i), x)","F"
35,0,-1,171,0.000000,"\text{Not used}","int((c + d*x)^m/(a + a*cot(e + f*x)*1i)^2,x)","\int \frac{{\left(c+d\,x\right)}^m}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((c + d*x)^m/(a + a*cot(e + f*x)*1i)^2, x)","F"
36,0,-1,251,0.000000,"\text{Not used}","int((c + d*x)^m/(a + a*cot(e + f*x)*1i)^3,x)","\int \frac{{\left(c+d\,x\right)}^m}{{\left(a+a\,\mathrm{cot}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((c + d*x)^m/(a + a*cot(e + f*x)*1i)^3, x)","F"
37,0,-1,147,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))*(c + d*x)^3,x)","\int \left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)\,{\left(c+d\,x\right)}^3 \,d x","Not used",1,"int((a + b*cot(e + f*x))*(c + d*x)^3, x)","F"
38,0,-1,112,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))*(c + d*x)^2,x)","\int \left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)\,{\left(c+d\,x\right)}^2 \,d x","Not used",1,"int((a + b*cot(e + f*x))*(c + d*x)^2, x)","F"
39,0,-1,83,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))*(c + d*x),x)","\int \left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)\,\left(c+d\,x\right) \,d x","Not used",1,"int((a + b*cot(e + f*x))*(c + d*x), x)","F"
40,0,-1,21,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))/(c + d*x),x)","\int \frac{a+b\,\mathrm{cot}\left(e+f\,x\right)}{c+d\,x} \,d x","Not used",0,"int((a + b*cot(e + f*x))/(c + d*x), x)","F"
41,0,-1,21,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))/(c + d*x)^2,x)","\int \frac{a+b\,\mathrm{cot}\left(e+f\,x\right)}{{\left(c+d\,x\right)}^2} \,d x","Not used",0,"int((a + b*cot(e + f*x))/(c + d*x)^2, x)","F"
42,0,-1,295,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^2*(c + d*x)^3,x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2\,{\left(c+d\,x\right)}^3 \,d x","Not used",1,"int((a + b*cot(e + f*x))^2*(c + d*x)^3, x)","F"
43,0,-1,227,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^2*(c + d*x)^2,x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2\,{\left(c+d\,x\right)}^2 \,d x","Not used",1,"int((a + b*cot(e + f*x))^2*(c + d*x)^2, x)","F"
44,0,-1,137,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^2*(c + d*x),x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2\,\left(c+d\,x\right) \,d x","Not used",1,"int((a + b*cot(e + f*x))^2*(c + d*x), x)","F"
45,0,-1,23,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^2/(c + d*x),x)","\int \frac{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2}{c+d\,x} \,d x","Not used",0,"int((a + b*cot(e + f*x))^2/(c + d*x), x)","F"
46,0,-1,23,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^2/(c + d*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2}{{\left(c+d\,x\right)}^2} \,d x","Not used",0,"int((a + b*cot(e + f*x))^2/(c + d*x)^2, x)","F"
47,0,-1,603,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^3*(c + d*x)^3,x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^3\,{\left(c+d\,x\right)}^3 \,d x","Not used",1,"int((a + b*cot(e + f*x))^3*(c + d*x)^3, x)","F"
48,0,-1,433,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^3*(c + d*x)^2,x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^3\,{\left(c+d\,x\right)}^2 \,d x","Not used",1,"int((a + b*cot(e + f*x))^3*(c + d*x)^2, x)","F"
49,0,-1,278,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^3*(c + d*x),x)","\int {\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^3\,\left(c+d\,x\right) \,d x","Not used",1,"int((a + b*cot(e + f*x))^3*(c + d*x), x)","F"
50,0,-1,23,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^3/(c + d*x),x)","\int \frac{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^3}{c+d\,x} \,d x","Not used",0,"int((a + b*cot(e + f*x))^3/(c + d*x), x)","F"
51,0,-1,23,0.000000,"\text{Not used}","int((a + b*cot(e + f*x))^3/(c + d*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^3}{{\left(c+d\,x\right)}^2} \,d x","Not used",0,"int((a + b*cot(e + f*x))^3/(c + d*x)^2, x)","F"
52,0,-1,242,0.000000,"\text{Not used}","int((c + d*x)^3/(a + b*cot(e + f*x)),x)","\int \frac{{\left(c+d\,x\right)}^3}{a+b\,\mathrm{cot}\left(e+f\,x\right)} \,d x","Not used",1,"int((c + d*x)^3/(a + b*cot(e + f*x)), x)","F"
53,0,-1,181,0.000000,"\text{Not used}","int((c + d*x)^2/(a + b*cot(e + f*x)),x)","\int \frac{{\left(c+d\,x\right)}^2}{a+b\,\mathrm{cot}\left(e+f\,x\right)} \,d x","Not used",1,"int((c + d*x)^2/(a + b*cot(e + f*x)), x)","F"
54,0,-1,126,0.000000,"\text{Not used}","int((c + d*x)/(a + b*cot(e + f*x)),x)","\int \frac{c+d\,x}{a+b\,\mathrm{cot}\left(e+f\,x\right)} \,d x","Not used",1,"int((c + d*x)/(a + b*cot(e + f*x)), x)","F"
55,0,-1,23,0.000000,"\text{Not used}","int(1/((a + b*cot(e + f*x))*(c + d*x)),x)","\int \frac{1}{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)\,\left(c+d\,x\right)} \,d x","Not used",0,"int(1/((a + b*cot(e + f*x))*(c + d*x)), x)","F"
56,0,-1,23,0.000000,"\text{Not used}","int(1/((a + b*cot(e + f*x))*(c + d*x)^2),x)","\int \frac{1}{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)\,{\left(c+d\,x\right)}^2} \,d x","Not used",0,"int(1/((a + b*cot(e + f*x))*(c + d*x)^2), x)","F"
57,0,-1,839,0.000000,"\text{Not used}","int((c + d*x)^3/(a + b*cot(e + f*x))^2,x)","\int \frac{{\left(c+d\,x\right)}^3}{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((c + d*x)^3/(a + b*cot(e + f*x))^2, x)","F"
58,0,-1,650,0.000000,"\text{Not used}","int((c + d*x)^2/(a + b*cot(e + f*x))^2,x)","\int \frac{{\left(c+d\,x\right)}^2}{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((c + d*x)^2/(a + b*cot(e + f*x))^2, x)","F"
59,0,-1,213,0.000000,"\text{Not used}","int((c + d*x)/(a + b*cot(e + f*x))^2,x)","\int \frac{c+d\,x}{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((c + d*x)/(a + b*cot(e + f*x))^2, x)","F"
60,0,-1,23,0.000000,"\text{Not used}","int(1/((a + b*cot(e + f*x))^2*(c + d*x)),x)","\int \frac{1}{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2\,\left(c+d\,x\right)} \,d x","Not used",0,"int(1/((a + b*cot(e + f*x))^2*(c + d*x)), x)","F"
61,0,-1,23,0.000000,"\text{Not used}","int(1/((a + b*cot(e + f*x))^2*(c + d*x)^2),x)","\int \frac{1}{{\left(a+b\,\mathrm{cot}\left(e+f\,x\right)\right)}^2\,{\left(c+d\,x\right)}^2} \,d x","Not used",0,"int(1/((a + b*cot(e + f*x))^2*(c + d*x)^2), x)","F"