1,1,98,113,0.098406,"\text{Not used}","int((x^4*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{x^3\,{\left(a^2\right)}^{3/2}}{4\,a^4}-\frac{3\,x\,\sqrt{a^2}}{8\,a^4}+\frac{a\,8{}\mathrm{i}}{15\,{\left(a^2\right)}^{5/2}}-\frac{a^3\,x^2\,4{}\mathrm{i}}{15\,{\left(a^2\right)}^{5/2}}+\frac{a^5\,x^4\,1{}\mathrm{i}}{5\,{\left(a^2\right)}^{5/2}}\right)}{\sqrt{a^2}}+\frac{3\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{8\,a^4\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*((a*8i)/(15*(a^2)^(5/2)) - (a^3*x^2*4i)/(15*(a^2)^(5/2)) + (x^3*(a^2)^(3/2))/(4*a^4) + (a^5*x^4*1i)/(5*(a^2)^(5/2)) - (3*x*(a^2)^(1/2))/(8*a^4)))/(a^2)^(1/2) + (3*asinh(x*(a^2)^(1/2)))/(8*a^4*(a^2)^(1/2))","B"
2,1,85,90,0.425345,"\text{Not used}","int((x^3*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,3{}\mathrm{i}}{8\,a^3\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{2}{3\,{\left(a^2\right)}^{3/2}}-\frac{a^2\,x^2}{3\,{\left(a^2\right)}^{3/2}}-\frac{x^3\,{\left(a^2\right)}^{3/2}\,1{}\mathrm{i}}{4\,a^3}+\frac{x\,\sqrt{a^2}\,3{}\mathrm{i}}{8\,a^3}\right)}{\sqrt{a^2}}","Not used",1,"(asinh(x*(a^2)^(1/2))*3i)/(8*a^3*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*(2/(3*(a^2)^(3/2)) - (a^2*x^2)/(3*(a^2)^(3/2)) - (x^3*(a^2)^(3/2)*1i)/(4*a^3) + (x*(a^2)^(1/2)*3i)/(8*a^3)))/(a^2)^(1/2)","B"
3,1,71,75,0.411075,"\text{Not used}","int((x^2*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{x\,\sqrt{a^2}}{2\,a^2}-\frac{a\,2{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}+\frac{a^3\,x^2\,1{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}\right)}{\sqrt{a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{2\,a^2\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*((a^3*x^2*1i)/(3*(a^2)^(3/2)) - (a*2i)/(3*(a^2)^(3/2)) + (x*(a^2)^(1/2))/(2*a^2)))/(a^2)^(1/2) - asinh(x*(a^2)^(1/2))/(2*a^2*(a^2)^(1/2))","B"
4,1,51,42,0.040847,"\text{Not used}","int((x*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2),x)","\frac{\left(\frac{1}{\sqrt{a^2}}+\frac{x\,\sqrt{a^2}\,1{}\mathrm{i}}{2\,a}\right)\,\sqrt{a^2\,x^2+1}-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{2\,a}}{\sqrt{a^2}}","Not used",1,"((1/(a^2)^(1/2) + (x*(a^2)^(1/2)*1i)/(2*a))*(a^2*x^2 + 1)^(1/2) - (asinh(x*(a^2)^(1/2))*1i)/(2*a))/(a^2)^(1/2)","B"
5,1,32,29,0.036951,"\text{Not used}","int((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}+\frac{\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{a}","Not used",1,"((a^2*x^2 + 1)^(1/2)*1i)/a + asinh(x*(a^2)^(1/2))/(a^2)^(1/2)","B"
6,1,32,25,0.036763,"\text{Not used}","int((a*x*1i + 1)/(x*(a^2*x^2 + 1)^(1/2)),x)","-\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)+\frac{a\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{\sqrt{a^2}}","Not used",1,"(a*asinh(x*(a^2)^(1/2))*1i)/(a^2)^(1/2) - atanh((a^2*x^2 + 1)^(1/2))","B"
7,1,33,38,0.036656,"\text{Not used}","int((a*x*1i + 1)/(x^2*(a^2*x^2 + 1)^(1/2)),x)","-\frac{\sqrt{a^2\,x^2+1}}{x}-a\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)\,1{}\mathrm{i}","Not used",1,"- a*atanh((a^2*x^2 + 1)^(1/2))*1i - (a^2*x^2 + 1)^(1/2)/x","B"
8,1,52,63,0.040177,"\text{Not used}","int((a*x*1i + 1)/(x^3*(a^2*x^2 + 1)^(1/2)),x)","\frac{a^2\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)}{2}-\frac{\sqrt{a^2\,x^2+1}}{2\,x^2}-\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{x}","Not used",1,"(a^2*atanh((a^2*x^2 + 1)^(1/2)))/2 - (a^2*x^2 + 1)^(1/2)/(2*x^2) - (a*(a^2*x^2 + 1)^(1/2)*1i)/x","B"
9,1,74,90,0.035505,"\text{Not used}","int((a*x*1i + 1)/(x^4*(a^2*x^2 + 1)^(1/2)),x)","\frac{a^3\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)}{2}-\frac{\sqrt{a^2\,x^2+1}}{3\,x^3}+\frac{2\,a^2\,\sqrt{a^2\,x^2+1}}{3\,x}-\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{2\,x^2}","Not used",1,"(a^3*atan((a^2*x^2 + 1)^(1/2)*1i))/2 - (a^2*x^2 + 1)^(1/2)/(3*x^3) - (a*(a^2*x^2 + 1)^(1/2)*1i)/(2*x^2) + (2*a^2*(a^2*x^2 + 1)^(1/2))/(3*x)","B"
10,1,95,113,0.030853,"\text{Not used}","int((a*x*1i + 1)/(x^5*(a^2*x^2 + 1)^(1/2)),x)","\frac{a^4\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8}-\frac{\sqrt{a^2\,x^2+1}}{4\,x^4}-\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{3\,x^3}+\frac{3\,a^2\,\sqrt{a^2\,x^2+1}}{8\,x^2}+\frac{a^3\,\sqrt{a^2\,x^2+1}\,2{}\mathrm{i}}{3\,x}","Not used",1,"(a^4*atan((a^2*x^2 + 1)^(1/2)*1i)*3i)/8 - (a^2*x^2 + 1)^(1/2)/(4*x^4) - (a*(a^2*x^2 + 1)^(1/2)*1i)/(3*x^3) + (3*a^2*(a^2*x^2 + 1)^(1/2))/(8*x^2) + (a^3*(a^2*x^2 + 1)^(1/2)*2i)/(3*x)","B"
11,1,43,48,0.418452,"\text{Not used}","int((x^3*(a*x*1i + 1)^2)/(a^2*x^2 + 1),x)","\frac{x^2}{a^2}-\frac{x^4}{4}-\frac{2\,\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)}{a^4}-\frac{x\,2{}\mathrm{i}}{a^3}+\frac{x^3\,2{}\mathrm{i}}{3\,a}","Not used",1,"(x^3*2i)/(3*a) - (x*2i)/a^3 - x^4/4 - (2*log(x + 1i/a))/a^4 + x^2/a^2","B"
12,1,36,39,0.421394,"\text{Not used}","int((x^2*(a*x*1i + 1)^2)/(a^2*x^2 + 1),x)","\frac{2\,x}{a^2}-\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,2{}\mathrm{i}}{a^3}-\frac{x^3}{3}+\frac{x^2\,1{}\mathrm{i}}{a}","Not used",1,"(2*x)/a^2 - (log(x + 1i/a)*2i)/a^3 - x^3/3 + (x^2*1i)/a","B"
13,1,27,29,0.061608,"\text{Not used}","int((x*(a*x*1i + 1)^2)/(a^2*x^2 + 1),x)","\frac{2\,\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)}{a^2}-\frac{x^2}{2}+\frac{x\,2{}\mathrm{i}}{a}","Not used",1,"(2*log(x + 1i/a))/a^2 + (x*2i)/a - x^2/2","B"
14,1,19,19,0.043308,"\text{Not used}","int((a*x*1i + 1)^2/(a^2*x^2 + 1),x)","-x+\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,2{}\mathrm{i}}{a}","Not used",1,"(log(x + 1i/a)*2i)/a - x","B"
15,1,14,13,0.439062,"\text{Not used}","int((a*x*1i + 1)^2/(x*(a^2*x^2 + 1)),x)","\ln\left(x\right)-2\,\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)","Not used",1,"log(x) - 2*log(x + 1i/a)","B"
16,1,17,26,0.061851,"\text{Not used}","int((a*x*1i + 1)^2/(x^2*(a^2*x^2 + 1)),x)","-4\,a\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)-\frac{1}{x}","Not used",1,"- 4*a*atan(2*a*x + 1i) - 1/x","B"
17,1,27,36,0.078952,"\text{Not used}","int((a*x*1i + 1)^2/(x^3*(a^2*x^2 + 1)),x)","-a^2\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)\,4{}\mathrm{i}-\frac{\frac{1}{2}+a\,x\,2{}\mathrm{i}}{x^2}","Not used",1,"- a^2*atan(2*a*x + 1i)*4i - (a*x*2i + 1/2)/x^2","B"
18,1,34,48,0.072483,"\text{Not used}","int((a*x*1i + 1)^2/(x^4*(a^2*x^2 + 1)),x)","4\,a^3\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)-\frac{-2\,a^2\,x^2+a\,x\,1{}\mathrm{i}+\frac{1}{3}}{x^3}","Not used",1,"4*a^3*atan(2*a*x + 1i) - (a*x*1i - 2*a^2*x^2 + 1/3)/x^3","B"
19,1,137,137,0.455548,"\text{Not used}","int((x^3*(a*x*1i + 1)^3)/(a^2*x^2 + 1)^(3/2),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{4}{{\left(a^2\right)}^{3/2}}+\frac{2\,\sqrt{a^2}}{a^4}-\frac{x^2\,\sqrt{a^2}}{a^2}-\frac{x^3\,{\left(a^2\right)}^{3/2}\,1{}\mathrm{i}}{4\,a^3}+\frac{x\,\sqrt{a^2}\,19{}\mathrm{i}}{8\,a^3}\right)}{\sqrt{a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,51{}\mathrm{i}}{8\,a^3\,\sqrt{a^2}}+\frac{\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{a^3\,\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*(4/(a^2)^(3/2) + (2*(a^2)^(1/2))/a^4 - (x^2*(a^2)^(1/2))/a^2 - (x^3*(a^2)^(3/2)*1i)/(4*a^3) + (x*(a^2)^(1/2)*19i)/(8*a^3)))/(a^2)^(1/2) - (asinh(x*(a^2)^(1/2))*51i)/(8*a^3*(a^2)^(1/2)) + ((a^2*x^2 + 1)^(1/2)*4i)/(a^3*(((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
20,1,114,102,0.063433,"\text{Not used}","int((x^2*(a*x*1i + 1)^3)/(a^2*x^2 + 1)^(3/2),x)","\frac{11\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{2\,a^2\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{3\,x\,\sqrt{a^2}}{2\,a^2}-\frac{a\,14{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}+\frac{a^3\,x^2\,1{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}\right)}{\sqrt{a^2}}-\frac{4\,\sqrt{a^2\,x^2+1}}{a^2\,\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(11*asinh(x*(a^2)^(1/2)))/(2*a^2*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*((a^3*x^2*1i)/(3*(a^2)^(3/2)) - (a*14i)/(3*(a^2)^(3/2)) + (3*x*(a^2)^(1/2))/(2*a^2)))/(a^2)^(1/2) - (4*(a^2*x^2 + 1)^(1/2))/(a^2*(((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
21,1,104,92,0.427132,"\text{Not used}","int((x*(a*x*1i + 1)^3)/(a^2*x^2 + 1)^(3/2),x)","-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{3\,\sqrt{a^2}}{a^2}+\frac{x\,\sqrt{a^2}\,1{}\mathrm{i}}{2\,a}\right)}{\sqrt{a^2}}+\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,9{}\mathrm{i}}{2\,a\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{a\,\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(asinh(x*(a^2)^(1/2))*9i)/(2*a*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*((3*(a^2)^(1/2))/a^2 + (x*(a^2)^(1/2)*1i)/(2*a)))/(a^2)^(1/2) - ((a^2*x^2 + 1)^(1/2)*4i)/(a*(((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
22,1,72,60,0.422238,"\text{Not used}","int((a*x*1i + 1)^3/(a^2*x^2 + 1)^(3/2),x)","-\frac{\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{a}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}+\frac{4\,\sqrt{a^2\,x^2+1}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(4*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2)) - (3*asinh(x*(a^2)^(1/2)))/(a^2)^(1/2) - ((a^2*x^2 + 1)^(1/2)*1i)/a","B"
23,1,73,51,0.428368,"\text{Not used}","int((a*x*1i + 1)^3/(x*(a^2*x^2 + 1)^(3/2)),x)","-\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)-\frac{a\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{\sqrt{a^2}}+\frac{a\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(a*(a^2*x^2 + 1)^(1/2)*4i)/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2)) - (a*asinh(x*(a^2)^(1/2))*1i)/(a^2)^(1/2) - atanh((a^2*x^2 + 1)^(1/2))","B"
24,1,75,63,0.058818,"\text{Not used}","int((a*x*1i + 1)^3/(x^2*(a^2*x^2 + 1)^(3/2)),x)","-a\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)\,3{}\mathrm{i}-\frac{\sqrt{a^2\,x^2+1}}{x}-\frac{4\,a^2\,\sqrt{a^2\,x^2+1}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"- a*atanh((a^2*x^2 + 1)^(1/2))*3i - (a^2*x^2 + 1)^(1/2)/x - (4*a^2*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
25,1,99,92,0.425815,"\text{Not used}","int((a*x*1i + 1)^3/(x^3*(a^2*x^2 + 1)^(3/2)),x)","-\frac{a^2\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{2}-\frac{\sqrt{a^2\,x^2+1}}{2\,x^2}-\frac{a\,\sqrt{a^2\,x^2+1}\,3{}\mathrm{i}}{x}-\frac{a^3\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"- (a^2*atan((a^2*x^2 + 1)^(1/2)*1i)*9i)/2 - (a^2*x^2 + 1)^(1/2)/(2*x^2) - (a*(a^2*x^2 + 1)^(1/2)*3i)/x - (a^3*(a^2*x^2 + 1)^(1/2)*4i)/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
26,1,116,117,0.414856,"\text{Not used}","int((a*x*1i + 1)^3/(x^4*(a^2*x^2 + 1)^(3/2)),x)","\frac{11\,a^3\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)}{2}-\frac{\sqrt{a^2\,x^2+1}}{3\,x^3}-\frac{a\,\sqrt{a^2\,x^2+1}\,3{}\mathrm{i}}{2\,x^2}+\frac{14\,a^2\,\sqrt{a^2\,x^2+1}}{3\,x}+\frac{4\,a^4\,\sqrt{a^2\,x^2+1}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(11*a^3*atan((a^2*x^2 + 1)^(1/2)*1i))/2 - (a^2*x^2 + 1)^(1/2)/(3*x^3) - (a*(a^2*x^2 + 1)^(1/2)*3i)/(2*x^2) + (14*a^2*(a^2*x^2 + 1)^(1/2))/(3*x) + (4*a^4*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2))","B"
27,1,60,65,0.431191,"\text{Not used}","int((x^3*(a*x*1i + 1)^4)/(a^2*x^2 + 1)^2,x)","\frac{16\,\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)}{a^4}+\frac{x^4}{4}-\frac{4\,x^2}{a^2}+\frac{4{}\mathrm{i}}{a^5\,\left(x+\frac{1{}\mathrm{i}}{a}\right)}+\frac{x\,12{}\mathrm{i}}{a^3}-\frac{x^3\,4{}\mathrm{i}}{3\,a}","Not used",1,"4i/(a^5*(x + 1i/a)) + (16*log(x + 1i/a))/a^4 + (x*12i)/a^3 + x^4/4 - (x^3*4i)/(3*a) - (4*x^2)/a^2","B"
28,1,51,53,0.059114,"\text{Not used}","int((x^2*(a*x*1i + 1)^4)/(a^2*x^2 + 1)^2,x)","\frac{x^3}{3}+\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,12{}\mathrm{i}}{a^3}-\frac{8\,x}{a^2}-\frac{4}{a^4\,\left(x+\frac{1{}\mathrm{i}}{a}\right)}-\frac{x^2\,2{}\mathrm{i}}{a}","Not used",1,"(log(x + 1i/a)*12i)/a^3 - 4/(a^4*(x + 1i/a)) - (8*x)/a^2 + x^3/3 - (x^2*2i)/a","B"
29,1,43,45,0.063791,"\text{Not used}","int((x*(a*x*1i + 1)^4)/(a^2*x^2 + 1)^2,x)","\frac{x^2}{2}-\frac{8\,\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)}{a^2}-\frac{4{}\mathrm{i}}{a^3\,\left(x+\frac{1{}\mathrm{i}}{a}\right)}-\frac{x\,4{}\mathrm{i}}{a}","Not used",1,"x^2/2 - (8*log(x + 1i/a))/a^2 - (x*4i)/a - 4i/(a^3*(x + 1i/a))","B"
30,1,32,31,0.426637,"\text{Not used}","int((a*x*1i + 1)^4/(a^2*x^2 + 1)^2,x)","x+\frac{4}{a^2\,\left(x+\frac{1{}\mathrm{i}}{a}\right)}-\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,4{}\mathrm{i}}{a}","Not used",1,"x + 4/(a^2*(x + 1i/a)) - (log(x + 1i/a)*4i)/a","B"
31,1,14,16,0.076964,"\text{Not used}","int((a*x*1i + 1)^4/(x*(a^2*x^2 + 1)^2),x)","\ln\left(x\right)+\frac{4{}\mathrm{i}}{a\,x+1{}\mathrm{i}}","Not used",1,"log(x) + 4i/(a*x + 1i)","B"
32,1,37,38,0.449532,"\text{Not used}","int((a*x*1i + 1)^4/(x^2*(a^2*x^2 + 1)^2),x)","-8\,a\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)-\frac{5\,x+\frac{1{}\mathrm{i}}{a}}{x^2+\frac{x\,1{}\mathrm{i}}{a}}","Not used",1,"- 8*a*atan(2*a*x + 1i) - (5*x + 1i/a)/((x*1i)/a + x^2)","B"
33,1,43,52,0.467928,"\text{Not used}","int((a*x*1i + 1)^4/(x^3*(a^2*x^2 + 1)^2),x)","-a^2\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)\,16{}\mathrm{i}+\frac{8\,a^2\,x^2+\frac{a\,x\,7{}\mathrm{i}}{2}+\frac{1}{2}}{x^2\,\left(-1+a\,x\,1{}\mathrm{i}\right)}","Not used",1,"((a*x*7i)/2 + 8*a^2*x^2 + 1/2)/(x^2*(a*x*1i - 1)) - a^2*atan(2*a*x + 1i)*16i","B"
34,1,55,62,0.130176,"\text{Not used}","int((a*x*1i + 1)^4/(x^4*(a^2*x^2 + 1)^2),x)","24\,a^3\,\mathrm{atan}\left(2\,a\,x+1{}\mathrm{i}\right)+\frac{\frac{5\,x}{3}+12\,a^2\,x^3+a\,x^2\,6{}\mathrm{i}-\frac{1{}\mathrm{i}}{3\,a}}{x^4+\frac{x^3\,1{}\mathrm{i}}{a}}","Not used",1,"24*a^3*atan(2*a*x + 1i) + ((5*x)/3 + a*x^2*6i - 1i/(3*a) + 12*a^2*x^3)/(x^4 + (x^3*1i)/a)","B"
35,1,85,90,0.062819,"\text{Not used}","int((x^3*(a^2*x^2 + 1)^(1/2))/(a*x*1i + 1),x)","-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,3{}\mathrm{i}}{8\,a^3\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{2}{3\,{\left(a^2\right)}^{3/2}}-\frac{a^2\,x^2}{3\,{\left(a^2\right)}^{3/2}}+\frac{x^3\,{\left(a^2\right)}^{3/2}\,1{}\mathrm{i}}{4\,a^3}-\frac{x\,\sqrt{a^2}\,3{}\mathrm{i}}{8\,a^3}\right)}{\sqrt{a^2}}","Not used",1,"- (asinh(x*(a^2)^(1/2))*3i)/(8*a^3*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*(2/(3*(a^2)^(3/2)) - (a^2*x^2)/(3*(a^2)^(3/2)) + (x^3*(a^2)^(3/2)*1i)/(4*a^3) - (x*(a^2)^(1/2)*3i)/(8*a^3)))/(a^2)^(1/2)","B"
36,1,71,75,0.416402,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^(1/2))/(a*x*1i + 1),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{x\,\sqrt{a^2}}{2\,a^2}+\frac{a\,2{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}-\frac{a^3\,x^2\,1{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}\right)}{\sqrt{a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{2\,a^2\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*((a*2i)/(3*(a^2)^(3/2)) - (a^3*x^2*1i)/(3*(a^2)^(3/2)) + (x*(a^2)^(1/2))/(2*a^2)))/(a^2)^(1/2) - asinh(x*(a^2)^(1/2))/(2*a^2*(a^2)^(1/2))","B"
37,1,51,42,0.404123,"\text{Not used}","int((x*(a^2*x^2 + 1)^(1/2))/(a*x*1i + 1),x)","\frac{\left(\frac{1}{\sqrt{a^2}}-\frac{x\,\sqrt{a^2}\,1{}\mathrm{i}}{2\,a}\right)\,\sqrt{a^2\,x^2+1}+\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{2\,a}}{\sqrt{a^2}}","Not used",1,"((1/(a^2)^(1/2) - (x*(a^2)^(1/2)*1i)/(2*a))*(a^2*x^2 + 1)^(1/2) + (asinh(x*(a^2)^(1/2))*1i)/(2*a))/(a^2)^(1/2)","B"
38,1,32,29,0.404645,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(a*x*1i + 1),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{a}","Not used",1,"asinh(x*(a^2)^(1/2))/(a^2)^(1/2) - ((a^2*x^2 + 1)^(1/2)*1i)/a","B"
39,1,32,25,0.037545,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(x*(a*x*1i + 1)),x)","-\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)-\frac{a\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{\sqrt{a^2}}","Not used",1,"- atanh((a^2*x^2 + 1)^(1/2)) - (a*asinh(x*(a^2)^(1/2))*1i)/(a^2)^(1/2)","B"
40,1,33,38,0.036191,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(x^2*(a*x*1i + 1)),x)","-\frac{\sqrt{a^2\,x^2+1}}{x}+a\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)\,1{}\mathrm{i}","Not used",1,"a*atanh((a^2*x^2 + 1)^(1/2))*1i - (a^2*x^2 + 1)^(1/2)/x","B"
41,1,52,63,0.038570,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(x^3*(a*x*1i + 1)),x)","\frac{a^2\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)}{2}-\frac{\sqrt{a^2\,x^2+1}}{2\,x^2}+\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{x}","Not used",1,"(a^2*atanh((a^2*x^2 + 1)^(1/2)))/2 - (a^2*x^2 + 1)^(1/2)/(2*x^2) + (a*(a^2*x^2 + 1)^(1/2)*1i)/x","B"
42,1,74,90,0.035444,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(x^4*(a*x*1i + 1)),x)","\frac{2\,a^2\,\sqrt{a^2\,x^2+1}}{3\,x}-\frac{\sqrt{a^2\,x^2+1}}{3\,x^3}-\frac{a^3\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)}{2}+\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{2\,x^2}","Not used",1,"(a*(a^2*x^2 + 1)^(1/2)*1i)/(2*x^2) - (a^2*x^2 + 1)^(1/2)/(3*x^3) - (a^3*atan((a^2*x^2 + 1)^(1/2)*1i))/2 + (2*a^2*(a^2*x^2 + 1)^(1/2))/(3*x)","B"
43,1,95,113,0.032904,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(x^5*(a*x*1i + 1)),x)","\frac{a^4\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8}-\frac{\sqrt{a^2\,x^2+1}}{4\,x^4}+\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{3\,x^3}+\frac{3\,a^2\,\sqrt{a^2\,x^2+1}}{8\,x^2}-\frac{a^3\,\sqrt{a^2\,x^2+1}\,2{}\mathrm{i}}{3\,x}","Not used",1,"(a^4*atan((a^2*x^2 + 1)^(1/2)*1i)*3i)/8 - (a^2*x^2 + 1)^(1/2)/(4*x^4) + (a*(a^2*x^2 + 1)^(1/2)*1i)/(3*x^3) + (3*a^2*(a^2*x^2 + 1)^(1/2))/(8*x^2) - (a^3*(a^2*x^2 + 1)^(1/2)*2i)/(3*x)","B"
44,1,43,49,0.055559,"\text{Not used}","int((x^3*(a^2*x^2 + 1))/(a*x*1i + 1)^2,x)","\frac{x^2}{a^2}-\frac{x^4}{4}-\frac{2\,\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)}{a^4}+\frac{x\,2{}\mathrm{i}}{a^3}-\frac{x^3\,2{}\mathrm{i}}{3\,a}","Not used",1,"(x*2i)/a^3 - (2*log(x - 1i/a))/a^4 - x^4/4 - (x^3*2i)/(3*a) + x^2/a^2","B"
45,1,36,40,0.414630,"\text{Not used}","int((x^2*(a^2*x^2 + 1))/(a*x*1i + 1)^2,x)","\frac{\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)\,2{}\mathrm{i}}{a^3}+\frac{2\,x}{a^2}-\frac{x^3}{3}-\frac{x^2\,1{}\mathrm{i}}{a}","Not used",1,"(log(x - 1i/a)*2i)/a^3 + (2*x)/a^2 - x^3/3 - (x^2*1i)/a","B"
46,1,27,30,0.419943,"\text{Not used}","int((x*(a^2*x^2 + 1))/(a*x*1i + 1)^2,x)","\frac{2\,\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)}{a^2}-\frac{x^2}{2}-\frac{x\,2{}\mathrm{i}}{a}","Not used",1,"(2*log(x - 1i/a))/a^2 - (x*2i)/a - x^2/2","B"
47,1,19,20,0.408568,"\text{Not used}","int((a^2*x^2 + 1)/(a*x*1i + 1)^2,x)","-x-\frac{\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)\,2{}\mathrm{i}}{a}","Not used",1,"- x - (log(x - 1i/a)*2i)/a","B"
48,1,14,14,0.450734,"\text{Not used}","int((a^2*x^2 + 1)/(x*(a*x*1i + 1)^2),x)","\ln\left(x\right)-2\,\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)","Not used",1,"log(x) - 2*log(x - 1i/a)","B"
49,1,17,27,0.420013,"\text{Not used}","int((a^2*x^2 + 1)/(x^2*(a*x*1i + 1)^2),x)","-4\,a\,\mathrm{atan}\left(2\,a\,x-\mathrm{i}\right)-\frac{1}{x}","Not used",1,"- 4*a*atan(2*a*x - 1i) - 1/x","B"
50,1,26,37,0.068023,"\text{Not used}","int((a^2*x^2 + 1)/(x^3*(a*x*1i + 1)^2),x)","a^2\,\mathrm{atan}\left(2\,a\,x-\mathrm{i}\right)\,4{}\mathrm{i}+\frac{-\frac{1}{2}+a\,x\,2{}\mathrm{i}}{x^2}","Not used",1,"a^2*atan(2*a*x - 1i)*4i + (a*x*2i - 1/2)/x^2","B"
51,1,33,49,0.430194,"\text{Not used}","int((a^2*x^2 + 1)/(x^4*(a*x*1i + 1)^2),x)","4\,a^3\,\mathrm{atan}\left(2\,a\,x-\mathrm{i}\right)+\frac{2\,a^2\,x^2+a\,x\,1{}\mathrm{i}-\frac{1}{3}}{x^3}","Not used",1,"4*a^3*atan(2*a*x - 1i) + (a*x*1i + 2*a^2*x^2 - 1/3)/x^3","B"
52,1,138,137,0.465955,"\text{Not used}","int((x^3*(a^2*x^2 + 1)^(3/2))/(a*x*1i + 1)^3,x)","\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{4}{{\left(a^2\right)}^{3/2}}+\frac{2\,\sqrt{a^2}}{a^4}-\frac{x^2\,\sqrt{a^2}}{a^2}+\frac{x^3\,{\left(a^2\right)}^{3/2}\,1{}\mathrm{i}}{4\,a^3}-\frac{x\,\sqrt{a^2}\,19{}\mathrm{i}}{8\,a^3}\right)}{\sqrt{a^2}}+\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,51{}\mathrm{i}}{8\,a^3\,\sqrt{a^2}}+\frac{\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{a^3\,\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*(4/(a^2)^(3/2) + (2*(a^2)^(1/2))/a^4 - (x^2*(a^2)^(1/2))/a^2 + (x^3*(a^2)^(3/2)*1i)/(4*a^3) - (x*(a^2)^(1/2)*19i)/(8*a^3)))/(a^2)^(1/2) + (asinh(x*(a^2)^(1/2))*51i)/(8*a^3*(a^2)^(1/2)) + ((a^2*x^2 + 1)^(1/2)*4i)/(a^3*(((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
53,1,115,102,0.070768,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^(3/2))/(a*x*1i + 1)^3,x)","\frac{11\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{2\,a^2\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{3\,x\,\sqrt{a^2}}{2\,a^2}+\frac{a\,14{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}-\frac{a^3\,x^2\,1{}\mathrm{i}}{3\,{\left(a^2\right)}^{3/2}}\right)}{\sqrt{a^2}}+\frac{4\,\sqrt{a^2\,x^2+1}}{a^2\,\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(11*asinh(x*(a^2)^(1/2)))/(2*a^2*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*((a*14i)/(3*(a^2)^(3/2)) - (a^3*x^2*1i)/(3*(a^2)^(3/2)) + (3*x*(a^2)^(1/2))/(2*a^2)))/(a^2)^(1/2) + (4*(a^2*x^2 + 1)^(1/2))/(a^2*(((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
54,1,105,92,0.420715,"\text{Not used}","int((x*(a^2*x^2 + 1)^(3/2))/(a*x*1i + 1)^3,x)","-\frac{\sqrt{a^2\,x^2+1}\,\left(\frac{3\,\sqrt{a^2}}{a^2}-\frac{x\,\sqrt{a^2}\,1{}\mathrm{i}}{2\,a}\right)}{\sqrt{a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,9{}\mathrm{i}}{2\,a\,\sqrt{a^2}}-\frac{\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{a\,\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"- ((a^2*x^2 + 1)^(1/2)*((3*(a^2)^(1/2))/a^2 - (x*(a^2)^(1/2)*1i)/(2*a)))/(a^2)^(1/2) - (asinh(x*(a^2)^(1/2))*9i)/(2*a*(a^2)^(1/2)) - ((a^2*x^2 + 1)^(1/2)*4i)/(a*(((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
55,1,73,60,0.416329,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(a*x*1i + 1)^3,x)","\frac{\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{a}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}-\frac{4\,\sqrt{a^2\,x^2+1}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"((a^2*x^2 + 1)^(1/2)*1i)/a - (3*asinh(x*(a^2)^(1/2)))/(a^2)^(1/2) - (4*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
56,1,74,52,0.432863,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(x*(a*x*1i + 1)^3),x)","-\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)+\frac{a\,\mathrm{asinh}\left(x\,\sqrt{a^2}\right)\,1{}\mathrm{i}}{\sqrt{a^2}}+\frac{a\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(a*asinh(x*(a^2)^(1/2))*1i)/(a^2)^(1/2) - atanh((a^2*x^2 + 1)^(1/2)) + (a*(a^2*x^2 + 1)^(1/2)*4i)/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
57,1,76,64,0.422131,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(x^2*(a*x*1i + 1)^3),x)","a\,\mathrm{atanh}\left(\sqrt{a^2\,x^2+1}\right)\,3{}\mathrm{i}-\frac{\sqrt{a^2\,x^2+1}}{x}+\frac{4\,a^2\,\sqrt{a^2\,x^2+1}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"a*atanh((a^2*x^2 + 1)^(1/2))*3i - (a^2*x^2 + 1)^(1/2)/x + (4*a^2*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
58,1,100,93,0.432290,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(x^3*(a*x*1i + 1)^3),x)","-\frac{a^2\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{2}-\frac{\sqrt{a^2\,x^2+1}}{2\,x^2}+\frac{a\,\sqrt{a^2\,x^2+1}\,3{}\mathrm{i}}{x}-\frac{a^3\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(a*(a^2*x^2 + 1)^(1/2)*3i)/x - (a^2*x^2 + 1)^(1/2)/(2*x^2) - (a^2*atan((a^2*x^2 + 1)^(1/2)*1i)*9i)/2 - (a^3*(a^2*x^2 + 1)^(1/2)*4i)/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
59,1,117,118,0.065929,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(x^4*(a*x*1i + 1)^3),x)","\frac{14\,a^2\,\sqrt{a^2\,x^2+1}}{3\,x}-\frac{\sqrt{a^2\,x^2+1}}{3\,x^3}+\frac{a\,\sqrt{a^2\,x^2+1}\,3{}\mathrm{i}}{2\,x^2}-\frac{11\,a^3\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)}{2}-\frac{4\,a^4\,\sqrt{a^2\,x^2+1}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(a*(a^2*x^2 + 1)^(1/2)*3i)/(2*x^2) - (a^2*x^2 + 1)^(1/2)/(3*x^3) - (11*a^3*atan((a^2*x^2 + 1)^(1/2)*1i))/2 + (14*a^2*(a^2*x^2 + 1)^(1/2))/(3*x) - (4*a^4*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
60,1,139,139,0.434314,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(x^5*(a*x*1i + 1)^3),x)","\frac{a^4\,\mathrm{atan}\left(\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}\right)\,51{}\mathrm{i}}{8}-\frac{\sqrt{a^2\,x^2+1}}{4\,x^4}+\frac{a\,\sqrt{a^2\,x^2+1}\,1{}\mathrm{i}}{x^3}+\frac{19\,a^2\,\sqrt{a^2\,x^2+1}}{8\,x^2}-\frac{a^3\,\sqrt{a^2\,x^2+1}\,6{}\mathrm{i}}{x}+\frac{a^5\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(a^4*atan((a^2*x^2 + 1)^(1/2)*1i)*51i)/8 - (a^2*x^2 + 1)^(1/2)/(4*x^4) + (a*(a^2*x^2 + 1)^(1/2)*1i)/x^3 + (19*a^2*(a^2*x^2 + 1)^(1/2))/(8*x^2) - (a^3*(a^2*x^2 + 1)^(1/2)*6i)/x + (a^5*(a^2*x^2 + 1)^(1/2)*4i)/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
61,0,-1,339,0.000000,"\text{Not used}","int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int x^2\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}} \,d x","Not used",1,"int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
62,0,-1,295,0.000000,"\text{Not used}","int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int x\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}} \,d x","Not used",1,"int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
63,0,-1,268,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
64,0,-1,267,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x, x)","F"
65,0,-1,92,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x^2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^2, x)","F"
66,0,-1,132,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x^3} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^3, x)","F"
67,0,-1,170,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x^4} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^4, x)","F"
68,0,-1,202,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^5,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x^5} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^5, x)","F"
69,0,-1,240,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^6,x)","\int \frac{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}}{x^6} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)/x^6, x)","F"
70,0,-1,337,0.000000,"\text{Not used}","int(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int x^3\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
71,0,-1,339,0.000000,"\text{Not used}","int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int x^2\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
72,0,-1,295,0.000000,"\text{Not used}","int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int x\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
73,0,-1,268,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int {\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
74,0,-1,267,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x, x)","F"
75,0,-1,92,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^2,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^2, x)","F"
76,0,-1,132,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^3,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^3, x)","F"
77,0,-1,170,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^4,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^4, x)","F"
78,0,-1,202,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^5,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)/x^5, x)","F"
79,0,-1,373,0.000000,"\text{Not used}","int(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int x^3\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2} \,d x","Not used",1,"int(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
80,0,-1,371,0.000000,"\text{Not used}","int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int x^2\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2} \,d x","Not used",1,"int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
81,0,-1,324,0.000000,"\text{Not used}","int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int x\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2} \,d x","Not used",1,"int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
82,0,-1,299,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int {\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
83,0,-1,293,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}}{x} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x, x)","F"
84,0,-1,121,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^2,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^2, x)","F"
85,0,-1,163,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^3,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^3, x)","F"
86,0,-1,203,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^4,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^4, x)","F"
87,0,-1,233,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^5,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)/x^5, x)","F"
88,0,-1,337,0.000000,"\text{Not used}","int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \frac{x^3}{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
89,0,-1,339,0.000000,"\text{Not used}","int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
90,0,-1,295,0.000000,"\text{Not used}","int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
91,0,-1,268,0.000000,"\text{Not used}","int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
92,0,-1,267,0.000000,"\text{Not used}","int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)), x)","F"
93,0,-1,92,0.000000,"\text{Not used}","int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)), x)","F"
94,0,-1,132,0.000000,"\text{Not used}","int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)), x)","F"
95,0,-1,170,0.000000,"\text{Not used}","int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)), x)","F"
96,0,-1,202,0.000000,"\text{Not used}","int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2)), x)","F"
97,0,-1,337,0.000000,"\text{Not used}","int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int \frac{x^3}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
98,0,-1,339,0.000000,"\text{Not used}","int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int \frac{x^2}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
99,0,-1,295,0.000000,"\text{Not used}","int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int \frac{x}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
100,0,-1,268,0.000000,"\text{Not used}","int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int \frac{1}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
101,0,-1,267,0.000000,"\text{Not used}","int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)), x)","F"
102,0,-1,92,0.000000,"\text{Not used}","int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x^2\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)), x)","F"
103,0,-1,132,0.000000,"\text{Not used}","int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x^3\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)), x)","F"
104,0,-1,170,0.000000,"\text{Not used}","int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x^4\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)), x)","F"
105,0,-1,202,0.000000,"\text{Not used}","int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x^5\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2)), x)","F"
106,0,-1,373,0.000000,"\text{Not used}","int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int \frac{x^3}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(x^3/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
107,0,-1,371,0.000000,"\text{Not used}","int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int \frac{x^2}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(x^2/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
108,0,-1,324,0.000000,"\text{Not used}","int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int \frac{x}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(x/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
109,0,-1,299,0.000000,"\text{Not used}","int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int \frac{1}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
110,0,-1,293,0.000000,"\text{Not used}","int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)),x)","\int \frac{1}{x\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)), x)","F"
111,0,-1,121,0.000000,"\text{Not used}","int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)),x)","\int \frac{1}{x^2\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)), x)","F"
112,0,-1,163,0.000000,"\text{Not used}","int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)),x)","\int \frac{1}{x^3\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)), x)","F"
113,0,-1,203,0.000000,"\text{Not used}","int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)),x)","\int \frac{1}{x^4\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^4*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)), x)","F"
114,0,-1,233,0.000000,"\text{Not used}","int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)),x)","\int \frac{1}{x^5\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^5*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2)), x)","F"
115,0,-1,319,0.000000,"\text{Not used}","int(x^2*((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3),x)","\int x^2\,{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3} \,d x","Not used",1,"int(x^2*((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3), x)","F"
116,0,-1,278,0.000000,"\text{Not used}","int(x*((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3),x)","\int x\,{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3} \,d x","Not used",1,"int(x*((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3), x)","F"
117,0,-1,262,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3),x)","\int {\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3), x)","F"
118,0,-1,430,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3}}{x} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x, x)","F"
119,0,-1,253,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^2,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3}}{x^2} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^2, x)","F"
120,0,-1,280,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^3,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3}}{x^3} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^3, x)","F"
121,0,-1,319,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^4,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{1/3}}{x^4} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(1/3)/x^4, x)","F"
122,0,-1,177,0.000000,"\text{Not used}","int(x^2*((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3),x)","\int x^2\,{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3} \,d x","Not used",1,"int(x^2*((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3), x)","F"
123,0,-1,140,0.000000,"\text{Not used}","int(x*((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3),x)","\int x\,{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3} \,d x","Not used",1,"int(x*((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3), x)","F"
124,0,-1,116,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3),x)","\int {\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3), x)","F"
125,0,-1,163,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3}}{x} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x, x)","F"
126,0,-1,111,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x^2,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3}}{x^2} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x^2, x)","F"
127,0,-1,142,0.000000,"\text{Not used}","int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x^3,x)","\int \frac{{\left(\frac{1+x\,1{}\mathrm{i}}{\sqrt{x^2+1}}\right)}^{2/3}}{x^3} \,d x","Not used",1,"int(((x*1i + 1)/(x^2 + 1)^(1/2))^(2/3)/x^3, x)","F"
128,0,-1,741,0.000000,"\text{Not used}","int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4),x)","\int x^2\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4} \,d x","Not used",1,"int(x^2*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4), x)","F"
129,0,-1,689,0.000000,"\text{Not used}","int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4),x)","\int x\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4} \,d x","Not used",1,"int(x*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4), x)","F"
130,0,-1,674,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4),x)","\int {\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4), x)","F"
131,0,-1,859,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4}}{x} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x, x)","F"
132,0,-1,328,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x^2,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4}}{x^2} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x^2, x)","F"
133,0,-1,364,0.000000,"\text{Not used}","int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x^3,x)","\int \frac{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4}}{x^3} \,d x","Not used",1,"int(((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4)/x^3, x)","F"
134,0,-1,114,0.000000,"\text{Not used}","int((x^m*(a*x*1i + 1)^6)/(a^2*x^2 + 1)^3,x)","\int \frac{x^m\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^6}{{\left(a^2\,x^2+1\right)}^3} \,d x","Not used",1,"int((x^m*(a*x*1i + 1)^6)/(a^2*x^2 + 1)^3, x)","F"
135,0,-1,50,0.000000,"\text{Not used}","int((x^m*(a*x*1i + 1)^4)/(a^2*x^2 + 1)^2,x)","\int \frac{x^m\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^4}{{\left(a^2\,x^2+1\right)}^2} \,d x","Not used",1,"int((x^m*(a*x*1i + 1)^4)/(a^2*x^2 + 1)^2, x)","F"
136,0,-1,39,0.000000,"\text{Not used}","int((x^m*(a*x*1i + 1)^2)/(a^2*x^2 + 1),x)","\int \frac{x^m\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^2}{a^2\,x^2+1} \,d x","Not used",1,"int((x^m*(a*x*1i + 1)^2)/(a^2*x^2 + 1), x)","F"
137,0,-1,39,0.000000,"\text{Not used}","int((x^m*(a^2*x^2 + 1))/(a*x*1i + 1)^2,x)","\int \frac{x^m\,\left(a^2\,x^2+1\right)}{{\left(1+a\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^m*(a^2*x^2 + 1))/(a*x*1i + 1)^2, x)","F"
138,0,-1,50,0.000000,"\text{Not used}","int((x^m*(a^2*x^2 + 1)^2)/(a*x*1i + 1)^4,x)","\int \frac{x^m\,{\left(a^2\,x^2+1\right)}^2}{{\left(1+a\,x\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((x^m*(a^2*x^2 + 1)^2)/(a*x*1i + 1)^4, x)","F"
139,0,-1,115,0.000000,"\text{Not used}","int((x^m*(a^2*x^2 + 1)^3)/(a*x*1i + 1)^6,x)","\int \frac{x^m\,{\left(a^2\,x^2+1\right)}^3}{{\left(1+a\,x\,1{}\mathrm{i}\right)}^6} \,d x","Not used",1,"int((x^m*(a^2*x^2 + 1)^3)/(a*x*1i + 1)^6, x)","F"
140,0,-1,159,0.000000,"\text{Not used}","int((x^m*(a*x*1i + 1)^3)/(a^2*x^2 + 1)^(3/2),x)","\int \frac{x^m\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^3}{{\left(a^2\,x^2+1\right)}^{3/2}} \,d x","Not used",1,"int((x^m*(a*x*1i + 1)^3)/(a^2*x^2 + 1)^(3/2), x)","F"
141,0,-1,79,0.000000,"\text{Not used}","int((x^m*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2),x)","\int \frac{x^m\,\left(1+a\,x\,1{}\mathrm{i}\right)}{\sqrt{a^2\,x^2+1}} \,d x","Not used",1,"int((x^m*(a*x*1i + 1))/(a^2*x^2 + 1)^(1/2), x)","F"
142,0,-1,79,0.000000,"\text{Not used}","int((x^m*(a^2*x^2 + 1)^(1/2))/(a*x*1i + 1),x)","\int \frac{x^m\,\sqrt{a^2\,x^2+1}}{1+a\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^m*(a^2*x^2 + 1)^(1/2))/(a*x*1i + 1), x)","F"
143,0,-1,159,0.000000,"\text{Not used}","int((x^m*(a^2*x^2 + 1)^(3/2))/(a*x*1i + 1)^3,x)","\int \frac{x^m\,{\left(a^2\,x^2+1\right)}^{3/2}}{{\left(1+a\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^m*(a^2*x^2 + 1)^(3/2))/(a*x*1i + 1)^3, x)","F"
144,0,-1,36,0.000000,"\text{Not used}","int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int x^m\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2} \,d x","Not used",1,"int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
145,0,-1,36,0.000000,"\text{Not used}","int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int x^m\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
146,0,-1,36,0.000000,"\text{Not used}","int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int x^m\,\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}} \,d x","Not used",1,"int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
147,0,-1,36,0.000000,"\text{Not used}","int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2),x)","\int \frac{x^m}{\sqrt{\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}}} \,d x","Not used",1,"int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/2), x)","F"
148,0,-1,36,0.000000,"\text{Not used}","int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2),x)","\int \frac{x^m}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(3/2), x)","F"
149,0,-1,36,0.000000,"\text{Not used}","int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2),x)","\int \frac{x^m}{{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{5/2}} \,d x","Not used",1,"int(x^m/((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(5/2), x)","F"
150,0,-1,38,0.000000,"\text{Not used}","int(x^m*exp((2*atan(x))/3),x)","\int x^m\,{\mathrm{e}}^{\frac{2\,\mathrm{atan}\left(x\right)}{3}} \,d x","Not used",1,"int(x^m*exp((2*atan(x))/3), x)","F"
151,0,-1,38,0.000000,"\text{Not used}","int(x^m*exp(atan(x)/3),x)","\int x^m\,{\mathrm{e}}^{\frac{\mathrm{atan}\left(x\right)}{3}} \,d x","Not used",1,"int(x^m*exp(atan(x)/3), x)","F"
152,0,-1,36,0.000000,"\text{Not used}","int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4),x)","\int x^m\,{\left(\frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{a^2\,x^2+1}}\right)}^{1/4} \,d x","Not used",1,"int(x^m*((a*x*1i + 1)/(a^2*x^2 + 1)^(1/2))^(1/4), x)","F"
153,0,-1,40,0.000000,"\text{Not used}","int(x^m*exp(n*atan(a*x)*1i),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(x^m*exp(n*atan(a*x)*1i), x)","F"
154,0,-1,171,0.000000,"\text{Not used}","int(x^3*exp(n*atan(a*x)*1i),x)","\int x^3\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(x^3*exp(n*atan(a*x)*1i), x)","F"
155,0,-1,159,0.000000,"\text{Not used}","int(x^2*exp(n*atan(a*x)*1i),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(x^2*exp(n*atan(a*x)*1i), x)","F"
156,0,-1,107,0.000000,"\text{Not used}","int(x*exp(n*atan(a*x)*1i),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(x*exp(n*atan(a*x)*1i), x)","F"
157,0,-1,71,0.000000,"\text{Not used}","int(exp(n*atan(a*x)*1i),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(exp(n*atan(a*x)*1i), x)","F"
158,0,-1,125,0.000000,"\text{Not used}","int(exp(n*atan(a*x)*1i)/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}}}{x} \,d x","Not used",1,"int(exp(n*atan(a*x)*1i)/x, x)","F"
159,0,-1,79,0.000000,"\text{Not used}","int(exp(n*atan(a*x)*1i)/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}}}{x^2} \,d x","Not used",1,"int(exp(n*atan(a*x)*1i)/x^2, x)","F"
160,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x)*1i)/x^3,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}}}{x^3} \,d x","Not used",1,"int(exp(n*atan(a*x)*1i)/x^3, x)","F"
161,0,-1,171,0.000000,"\text{Not used}","int(exp(n*atan(a*x)*1i)/x^4,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}}}{x^4} \,d x","Not used",1,"int(exp(n*atan(a*x)*1i)/x^4, x)","F"
162,0,-1,276,0.000000,"\text{Not used}","int((x^4*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2),x)","\int \frac{x^4\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}{\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((x^4*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2), x)","F"
163,0,-1,201,0.000000,"\text{Not used}","int((x^3*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2),x)","\int \frac{x^3\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}{\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((x^3*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2), x)","F"
164,0,-1,171,0.000000,"\text{Not used}","int((x^2*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2),x)","\int \frac{x^2\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}{\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((x^2*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2), x)","F"
165,0,-1,110,0.000000,"\text{Not used}","int((x*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2),x)","\int \frac{x\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}{\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((x*(a*1i + b*x*1i + 1))/((a + b*x)^2 + 1)^(1/2), x)","F"
166,1,97,52,1.091758,"\text{Not used}","int((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}\,1{}\mathrm{i}}{b}+\frac{\mathrm{asinh}\left(a+b\,x\right)}{b}+\frac{a\,\mathrm{asinh}\left(a+b\,x\right)\,1{}\mathrm{i}}{b}-\frac{a\,b^2\,\ln\left(\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}+\frac{x\,b^2+a\,b}{\sqrt{b^2}}\right)\,1{}\mathrm{i}}{{\left(b^2\right)}^{3/2}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2)*1i)/b + asinh(a + b*x)/b + (a*asinh(a + b*x)*1i)/b - (a*b^2*log((a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2) + (a*b + b^2*x)/(b^2)^(1/2))*1i)/(b^2)^(3/2)","B"
167,1,118,89,1.148613,"\text{Not used}","int((a*1i + b*x*1i + 1)/(x*((a + b*x)^2 + 1)^(1/2)),x)","\mathrm{asinh}\left(a+b\,x\right)\,1{}\mathrm{i}-\frac{\ln\left(a\,b+\frac{a^2+1}{x}+\frac{\sqrt{a^2+1}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}{x}\right)}{\sqrt{a^2+1}}-\frac{a\,\ln\left(a\,b+\frac{a^2+1}{x}+\frac{\sqrt{a^2+1}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}{x}\right)\,1{}\mathrm{i}}{\sqrt{a^2+1}}","Not used",1,"asinh(a + b*x)*1i - log(a*b + (a^2 + 1)/x + ((a^2 + 1)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2))/x)/(a^2 + 1)^(1/2) - (a*log(a*b + (a^2 + 1)/x + ((a^2 + 1)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2))/x)*1i)/(a^2 + 1)^(1/2)","B"
168,1,218,130,1.676168,"\text{Not used}","int((a*1i + b*x*1i + 1)/(x^2*((a + b*x)^2 + 1)^(1/2)),x)","\frac{a\,b\,\mathrm{atanh}\left(\frac{a^2+b\,x\,a+1}{\sqrt{a^2+1}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}\right)}{{\left(a^2+1\right)}^{3/2}}-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}{x\,\left(a^2+1\right)}-\frac{b\,\ln\left(a\,b+\frac{a^2+1}{x}+\frac{\sqrt{a^2+1}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}{x}\right)\,1{}\mathrm{i}}{\sqrt{a^2+1}}+\frac{a^2\,b\,\mathrm{atanh}\left(\frac{a^2+b\,x\,a+1}{\sqrt{a^2+1}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}}\right)\,1{}\mathrm{i}}{{\left(a^2+1\right)}^{3/2}}-\frac{a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}\,1{}\mathrm{i}}{x\,\left(a^2+1\right)}","Not used",1,"(a^2*b*atanh((a^2 + a*b*x + 1)/((a^2 + 1)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2)))*1i)/(a^2 + 1)^(3/2) - (a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2)/(x*(a^2 + 1)) - (b*log(a*b + (a^2 + 1)/x + ((a^2 + 1)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2))/x)*1i)/(a^2 + 1)^(1/2) - (a*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2)*1i)/(x*(a^2 + 1)) + (a*b*atanh((a^2 + a*b*x + 1)/((a^2 + 1)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2))))/(a^2 + 1)^(3/2)","B"
169,0,-1,201,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)/(x^3*((a + b*x)^2 + 1)^(1/2)),x)","\int \frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{x^3\,\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)/(x^3*((a + b*x)^2 + 1)^(1/2)), x)","F"
170,0,-1,283,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)/(x^4*((a + b*x)^2 + 1)^(1/2)),x)","\int \frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{x^4\,\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)/(x^4*((a + b*x)^2 + 1)^(1/2)), x)","F"
171,1,201,92,0.584512,"\text{Not used}","int((x^4*(a*1i + b*x*1i + 1)^2)/((a + b*x)^2 + 1),x)","\ln\left(x+\frac{a+1{}\mathrm{i}}{b}\right)\,\left(\frac{8\,a-8\,a^3}{b^5}+\frac{\left(2\,a^4-12\,a^2+2\right)\,1{}\mathrm{i}}{b^5}\right)-x^4\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,b}\right)-\frac{x^5}{5}+\frac{x^2\,{\left(-1+a\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)}{2\,b^2}-\frac{x^3\,\left(-1+a\,1{}\mathrm{i}\right)\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)\,1{}\mathrm{i}}{3\,b}+\frac{x\,{\left(-1+a\,1{}\mathrm{i}\right)}^3\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)\,1{}\mathrm{i}}{b^3}","Not used",1,"log(x + (a + 1i)/b)*((8*a - 8*a^3)/b^5 + ((2*a^4 - 12*a^2 + 2)*1i)/b^5) - x^4*(((a*1i - 1)*1i)/(4*b) - ((a*1i + 1)*1i)/(4*b)) - x^5/5 + (x^2*(a*1i - 1)^2*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b))/(2*b^2) - (x^3*(a*1i - 1)*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b)*1i)/(3*b) + (x*(a*1i - 1)^3*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b)*1i)/b^3","B"
172,1,153,72,0.532263,"\text{Not used}","int((x^3*(a*1i + b*x*1i + 1)^2)/((a + b*x)^2 + 1),x)","-x^3\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,b}\right)-\frac{x^4}{4}+\ln\left(x+\frac{a+1{}\mathrm{i}}{b}\right)\,\left(\frac{6\,a^2-2}{b^4}+\frac{\left(6\,a-2\,a^3\right)\,1{}\mathrm{i}}{b^4}\right)-\frac{x^2\,\left(-1+a\,1{}\mathrm{i}\right)\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)\,1{}\mathrm{i}}{2\,b}+\frac{x\,{\left(-1+a\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)}{b^2}","Not used",1,"log(x + (a + 1i)/b)*(((6*a - 2*a^3)*1i)/b^4 + (6*a^2 - 2)/b^4) - x^4/4 - x^3*(((a*1i - 1)*1i)/(3*b) - ((a*1i + 1)*1i)/(3*b)) - (x^2*(a*1i - 1)*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b)*1i)/(2*b) + (x*(a*1i - 1)^2*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b))/b^2","B"
173,1,107,54,0.512540,"\text{Not used}","int((x^2*(a*1i + b*x*1i + 1)^2)/((a + b*x)^2 + 1),x)","-\ln\left(x+\frac{a+1{}\mathrm{i}}{b}\right)\,\left(\frac{4\,a}{b^3}-\frac{\left(2\,a^2-2\right)\,1{}\mathrm{i}}{b^3}\right)-x^2\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b}\right)-\frac{x^3}{3}-\frac{x\,\left(-1+a\,1{}\mathrm{i}\right)\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)\,1{}\mathrm{i}}{b}","Not used",1,"- log(x + (a + 1i)/b)*((4*a)/b^3 - ((2*a^2 - 2)*1i)/b^3) - x^2*(((a*1i - 1)*1i)/(2*b) - ((a*1i + 1)*1i)/(2*b)) - x^3/3 - (x*(a*1i - 1)*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b)*1i)/b","B"
174,1,60,37,0.129390,"\text{Not used}","int((x*(a*1i + b*x*1i + 1)^2)/((a + b*x)^2 + 1),x)","-\ln\left(x+\frac{a+1{}\mathrm{i}}{b}\right)\,\left(-\frac{2}{b^2}+\frac{a\,2{}\mathrm{i}}{b^2}\right)-x\,\left(\frac{\left(-1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}-\frac{\left(1+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b}\right)-\frac{x^2}{2}","Not used",1,"- log(x + (a + 1i)/b)*((a*2i)/b^2 - 2/b^2) - x*(((a*1i - 1)*1i)/b - ((a*1i + 1)*1i)/b) - x^2/2","B"
175,1,21,20,0.464224,"\text{Not used}","int((a*1i + b*x*1i + 1)^2/((a + b*x)^2 + 1),x)","-x+\frac{\ln\left(x+\frac{a+1{}\mathrm{i}}{b}\right)\,2{}\mathrm{i}}{b}","Not used",1,"(log(x + (a + 1i)/b)*2i)/b - x","B"
176,1,32,38,0.704456,"\text{Not used}","int((a*1i + b*x*1i + 1)^2/(x*((a + b*x)^2 + 1)),x)","\ln\left(x\right)\,\left(-1+\frac{2{}\mathrm{i}}{a+1{}\mathrm{i}}\right)-\frac{\ln\left(a+b\,x+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a+1{}\mathrm{i}}","Not used",1,"log(x)*(2i/(a + 1i) - 1) - (log(a + b*x + 1i)*2i)/(a + 1i)","B"
177,1,98,55,0.636592,"\text{Not used}","int((a*1i + b*x*1i + 1)^2/(x^2*((a + b*x)^2 + 1)),x)","\frac{a-\mathrm{i}}{x\,\left(a+1{}\mathrm{i}\right)}+\frac{b\,\mathrm{atanh}\left(\frac{a^2+a\,2{}\mathrm{i}-1}{{\left(a+1{}\mathrm{i}\right)}^2}-\frac{x\,\left(2\,a^4\,b^2+4\,a^2\,b^2+2\,b^2\right)}{{\left(a+1{}\mathrm{i}\right)}^2\,\left(-b\,a^3+1{}\mathrm{i}\,b\,a^2-b\,a+b\,1{}\mathrm{i}\right)}\right)\,4{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^2}","Not used",1,"(a - 1i)/(x*(a + 1i)) + (b*atanh((a*2i + a^2 - 1)/(a + 1i)^2 - (x*(2*b^2 + 4*a^2*b^2 + 2*a^4*b^2))/((a + 1i)^2*(b*1i - a*b + a^2*b*1i - a^3*b)))*4i)/(a + 1i)^2","B"
178,1,154,76,0.692890,"\text{Not used}","int((a*1i + b*x*1i + 1)^2/(x^3*((a + b*x)^2 + 1)),x)","\frac{\frac{a-\mathrm{i}}{2\,\left(a+1{}\mathrm{i}\right)}+\frac{b\,x\,2{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^2}}{x^2}+\frac{b^2\,\mathrm{atanh}\left(\frac{-a^3-a^2\,3{}\mathrm{i}+3\,a+1{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^3}+\frac{x\,\left(2\,a^8\,b^2+8\,a^6\,b^2+12\,a^4\,b^2+8\,a^2\,b^2+2\,b^2\right)}{{\left(a+1{}\mathrm{i}\right)}^3\,\left(-b\,a^6+2{}\mathrm{i}\,b\,a^5-b\,a^4+4{}\mathrm{i}\,b\,a^3+b\,a^2+2{}\mathrm{i}\,b\,a+b\right)}\right)\,4{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^3}","Not used",1,"((a - 1i)/(2*(a + 1i)) + (b*x*2i)/(a + 1i)^2)/x^2 + (b^2*atanh((3*a - a^2*3i - a^3 + 1i)/(a + 1i)^3 + (x*(2*b^2 + 8*a^2*b^2 + 12*a^4*b^2 + 8*a^6*b^2 + 2*a^8*b^2))/((a + 1i)^3*(b + a*b*2i + a^2*b + a^3*b*4i - a^4*b + a^5*b*2i - a^6*b)))*4i)/(a + 1i)^3","B"
179,1,199,93,0.717832,"\text{Not used}","int((a*1i + b*x*1i + 1)^2/(x^4*((a + b*x)^2 + 1)),x)","\frac{\frac{a-\mathrm{i}}{3\,\left(a+1{}\mathrm{i}\right)}-\frac{b^2\,x^2\,2{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^3}+\frac{b\,x\,1{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^2}}{x^3}+\frac{b^3\,\mathrm{atanh}\left(\frac{a^4+a^3\,4{}\mathrm{i}-6\,a^2-a\,4{}\mathrm{i}+1}{{\left(a+1{}\mathrm{i}\right)}^4}-\frac{x\,\left(2\,a^{12}\,b^2+12\,a^{10}\,b^2+30\,a^8\,b^2+40\,a^6\,b^2+30\,a^4\,b^2+12\,a^2\,b^2+2\,b^2\right)}{{\left(a+1{}\mathrm{i}\right)}^4\,\left(-b\,a^9+3{}\mathrm{i}\,b\,a^8+8{}\mathrm{i}\,b\,a^6+6\,b\,a^5+6{}\mathrm{i}\,b\,a^4+8\,b\,a^3+3\,b\,a-b\,1{}\mathrm{i}\right)}\right)\,4{}\mathrm{i}}{{\left(a+1{}\mathrm{i}\right)}^4}","Not used",1,"((a - 1i)/(3*(a + 1i)) - (b^2*x^2*2i)/(a + 1i)^3 + (b*x*1i)/(a + 1i)^2)/x^3 + (b^3*atanh((a^3*4i - 6*a^2 - a*4i + a^4 + 1)/(a + 1i)^4 - (x*(2*b^2 + 12*a^2*b^2 + 30*a^4*b^2 + 40*a^6*b^2 + 30*a^8*b^2 + 12*a^10*b^2 + 2*a^12*b^2))/((a + 1i)^4*(3*a*b - b*1i + 8*a^3*b + a^4*b*6i + 6*a^5*b + a^6*b*8i + a^8*b*3i - a^9*b)))*4i)/(a + 1i)^4","B"
180,0,-1,324,0.000000,"\text{Not used}","int((x^4*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2),x)","\int \frac{x^4\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((x^4*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2), x)","F"
181,0,-1,249,0.000000,"\text{Not used}","int((x^3*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2),x)","\int \frac{x^3\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2), x)","F"
182,0,-1,227,0.000000,"\text{Not used}","int((x^2*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2),x)","\int \frac{x^2\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2), x)","F"
183,0,-1,163,0.000000,"\text{Not used}","int((x*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2),x)","\int \frac{x\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((x*(a*1i + b*x*1i + 1)^3)/((a + b*x)^2 + 1)^(3/2), x)","F"
184,0,-1,94,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)^3/((a + b*x)^2 + 1)^(3/2),x)","\int \frac{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)^3/((a + b*x)^2 + 1)^(3/2), x)","F"
185,0,-1,134,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)^3/(x*((a + b*x)^2 + 1)^(3/2)),x)","\int \frac{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{x\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)^3/(x*((a + b*x)^2 + 1)^(3/2)), x)","F"
186,0,-1,176,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)^3/(x^2*((a + b*x)^2 + 1)^(3/2)),x)","\int \frac{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{x^2\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)^3/(x^2*((a + b*x)^2 + 1)^(3/2)), x)","F"
187,0,-1,264,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)^3/(x^3*((a + b*x)^2 + 1)^(3/2)),x)","\int \frac{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{x^3\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)^3/(x^3*((a + b*x)^2 + 1)^(3/2)), x)","F"
188,0,-1,338,0.000000,"\text{Not used}","int((a*1i + b*x*1i + 1)^3/(x^4*((a + b*x)^2 + 1)^(3/2)),x)","\int \frac{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3}{x^4\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*1i + b*x*1i + 1)^3/(x^4*((a + b*x)^2 + 1)^(3/2)), x)","F"
189,0,-1,276,0.000000,"\text{Not used}","int((x^4*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1),x)","\int \frac{x^4\,\sqrt{{\left(a+b\,x\right)}^2+1}}{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^4*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1), x)","F"
190,0,-1,201,0.000000,"\text{Not used}","int((x^3*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1),x)","\int \frac{x^3\,\sqrt{{\left(a+b\,x\right)}^2+1}}{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^3*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1), x)","F"
191,0,-1,171,0.000000,"\text{Not used}","int((x^2*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1),x)","\int \frac{x^2\,\sqrt{{\left(a+b\,x\right)}^2+1}}{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^2*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1), x)","F"
192,0,-1,110,0.000000,"\text{Not used}","int((x*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1),x)","\int \frac{x\,\sqrt{{\left(a+b\,x\right)}^2+1}}{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x*((a + b*x)^2 + 1)^(1/2))/(a*1i + b*x*1i + 1), x)","F"
193,0,-1,52,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(1/2)/(a*1i + b*x*1i + 1),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2+1}}{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(1/2)/(a*1i + b*x*1i + 1), x)","F"
194,0,-1,89,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(1/2)/(x*(a*1i + b*x*1i + 1)),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2+1}}{x\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(1/2)/(x*(a*1i + b*x*1i + 1)), x)","F"
195,0,-1,130,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(1/2)/(x^2*(a*1i + b*x*1i + 1)),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2+1}}{x^2\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(1/2)/(x^2*(a*1i + b*x*1i + 1)), x)","F"
196,0,-1,201,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(1/2)/(x^3*(a*1i + b*x*1i + 1)),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2+1}}{x^3\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(1/2)/(x^3*(a*1i + b*x*1i + 1)), x)","F"
197,0,-1,283,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(1/2)/(x^4*(a*1i + b*x*1i + 1)),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2+1}}{x^4\,\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(1/2)/(x^4*(a*1i + b*x*1i + 1)), x)","F"
198,1,165,99,0.165896,"\text{Not used}","int((x^4*((a + b*x)^2 + 1))/(a*1i + b*x*1i + 1)^2,x)","\ln\left(x+\frac{a-\mathrm{i}}{b}\right)\,\left(\frac{8\,a-8\,a^3}{b^5}-\frac{\left(2\,a^4-12\,a^2+2\right)\,1{}\mathrm{i}}{b^5}\right)+x^4\,\left(\frac{a-\mathrm{i}}{4\,b}-\frac{a+1{}\mathrm{i}}{4\,b}\right)-\frac{x^5}{5}+\frac{x^2\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,{\left(a-\mathrm{i}\right)}^2}{2\,b^2}-\frac{x^3\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,\left(a-\mathrm{i}\right)}{3\,b}-\frac{x\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,{\left(a-\mathrm{i}\right)}^3}{b^3}","Not used",1,"log(x + (a - 1i)/b)*((8*a - 8*a^3)/b^5 - ((2*a^4 - 12*a^2 + 2)*1i)/b^5) + x^4*((a - 1i)/(4*b) - (a + 1i)/(4*b)) - x^5/5 + (x^2*((a - 1i)/b - (a + 1i)/b)*(a - 1i)^2)/(2*b^2) - (x^3*((a - 1i)/b - (a + 1i)/b)*(a - 1i))/(3*b) - (x*((a - 1i)/b - (a + 1i)/b)*(a - 1i)^3)/b^3","B"
199,1,129,77,0.537575,"\text{Not used}","int((x^3*((a + b*x)^2 + 1))/(a*1i + b*x*1i + 1)^2,x)","x^3\,\left(\frac{a-\mathrm{i}}{3\,b}-\frac{a+1{}\mathrm{i}}{3\,b}\right)-\frac{x^4}{4}-\ln\left(x+\frac{a-\mathrm{i}}{b}\right)\,\left(-\frac{6\,a^2-2}{b^4}+\frac{\left(6\,a-2\,a^3\right)\,1{}\mathrm{i}}{b^4}\right)-\frac{x^2\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,\left(a-\mathrm{i}\right)}{2\,b}+\frac{x\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,{\left(a-\mathrm{i}\right)}^2}{b^2}","Not used",1,"x^3*((a - 1i)/(3*b) - (a + 1i)/(3*b)) - x^4/4 - log(x + (a - 1i)/b)*(((6*a - 2*a^3)*1i)/b^4 - (6*a^2 - 2)/b^4) - (x^2*((a - 1i)/b - (a + 1i)/b)*(a - 1i))/(2*b) + (x*((a - 1i)/b - (a + 1i)/b)*(a - 1i)^2)/b^2","B"
200,1,90,59,0.537450,"\text{Not used}","int((x^2*((a + b*x)^2 + 1))/(a*1i + b*x*1i + 1)^2,x)","-\ln\left(x+\frac{a-\mathrm{i}}{b}\right)\,\left(\frac{4\,a}{b^3}+\frac{\left(2\,a^2-2\right)\,1{}\mathrm{i}}{b^3}\right)+x^2\,\left(\frac{a-\mathrm{i}}{2\,b}-\frac{a+1{}\mathrm{i}}{2\,b}\right)-\frac{x^3}{3}-\frac{x\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)\,\left(a-\mathrm{i}\right)}{b}","Not used",1,"x^2*((a - 1i)/(2*b) - (a + 1i)/(2*b)) - log(x + (a - 1i)/b)*((4*a)/b^3 + ((2*a^2 - 2)*1i)/b^3) - x^3/3 - (x*((a - 1i)/b - (a + 1i)/b)*(a - 1i))/b","B"
201,1,51,40,0.502719,"\text{Not used}","int((x*((a + b*x)^2 + 1))/(a*1i + b*x*1i + 1)^2,x)","\ln\left(x+\frac{a-\mathrm{i}}{b}\right)\,\left(\frac{2}{b^2}+\frac{a\,2{}\mathrm{i}}{b^2}\right)-\frac{x^2}{2}+x\,\left(\frac{a-\mathrm{i}}{b}-\frac{a+1{}\mathrm{i}}{b}\right)","Not used",1,"log(x + (a - 1i)/b)*((a*2i)/b^2 + 2/b^2) - x^2/2 + x*((a - 1i)/b - (a + 1i)/b)","B"
202,1,21,23,0.060179,"\text{Not used}","int(((a + b*x)^2 + 1)/(a*1i + b*x*1i + 1)^2,x)","-x-\frac{\ln\left(x+\frac{a-\mathrm{i}}{b}\right)\,2{}\mathrm{i}}{b}","Not used",1,"- x - (log(x + (a - 1i)/b)*2i)/b","B"
203,1,34,41,0.715067,"\text{Not used}","int(((a + b*x)^2 + 1)/(x*(a*1i + b*x*1i + 1)^2),x)","-\frac{2\,\ln\left(a+b\,x-\mathrm{i}\right)}{1+a\,1{}\mathrm{i}}+\ln\left(x\right)\,\left(\frac{2}{1+a\,1{}\mathrm{i}}-1\right)","Not used",1,"log(x)*(2/(a*1i + 1) - 1) - (2*log(a + b*x - 1i))/(a*1i + 1)","B"
204,1,100,62,0.654188,"\text{Not used}","int(((a + b*x)^2 + 1)/(x^2*(a*1i + b*x*1i + 1)^2),x)","\frac{-1+a\,1{}\mathrm{i}}{x\,\left(1+a\,1{}\mathrm{i}\right)}-\frac{4\,b\,\mathrm{atan}\left(\frac{a^2\,1{}\mathrm{i}+2\,a-\mathrm{i}}{{\left(a-\mathrm{i}\right)}^2}+\frac{x\,\left(2\,a^4\,b^2+4\,a^2\,b^2+2\,b^2\right)}{{\left(a-\mathrm{i}\right)}^2\,\left(-1{}\mathrm{i}\,b\,a^3+b\,a^2-1{}\mathrm{i}\,b\,a+b\right)}\right)}{{\left(a-\mathrm{i}\right)}^2}","Not used",1,"(a*1i - 1)/(x*(a*1i + 1)) - (4*b*atan((2*a + a^2*1i - 1i)/(a - 1i)^2 + (x*(2*b^2 + 4*a^2*b^2 + 2*a^4*b^2))/((a - 1i)^2*(b - a*b*1i + a^2*b - a^3*b*1i))))/(a - 1i)^2","B"
205,1,156,83,0.697521,"\text{Not used}","int(((a + b*x)^2 + 1)/(x^3*(a*1i + b*x*1i + 1)^2),x)","\frac{\frac{a+1{}\mathrm{i}}{2\,\left(a-\mathrm{i}\right)}-\frac{b\,x\,2{}\mathrm{i}}{{\left(a-\mathrm{i}\right)}^2}}{x^2}-\frac{b^2\,\mathrm{atanh}\left(\frac{-a^3+a^2\,3{}\mathrm{i}+3\,a-\mathrm{i}}{{\left(a-\mathrm{i}\right)}^3}-\frac{x\,\left(2\,a^8\,b^2+8\,a^6\,b^2+12\,a^4\,b^2+8\,a^2\,b^2+2\,b^2\right)}{{\left(a-\mathrm{i}\right)}^3\,\left(b\,a^6+2{}\mathrm{i}\,b\,a^5+b\,a^4+4{}\mathrm{i}\,b\,a^3-b\,a^2+2{}\mathrm{i}\,b\,a-b\right)}\right)\,4{}\mathrm{i}}{{\left(a-\mathrm{i}\right)}^3}","Not used",1,"((a + 1i)/(2*(a - 1i)) - (b*x*2i)/(a - 1i)^2)/x^2 - (b^2*atanh((3*a + a^2*3i - a^3 - 1i)/(a - 1i)^3 - (x*(2*b^2 + 8*a^2*b^2 + 12*a^4*b^2 + 8*a^6*b^2 + 2*a^8*b^2))/((a - 1i)^3*(a*b*2i - b - a^2*b + a^3*b*4i + a^4*b + a^5*b*2i + a^6*b)))*4i)/(a - 1i)^3","B"
206,1,199,104,0.772451,"\text{Not used}","int(((a + b*x)^2 + 1)/(x^4*(a*1i + b*x*1i + 1)^2),x)","\frac{\frac{a+1{}\mathrm{i}}{3\,\left(a-\mathrm{i}\right)}+\frac{b^2\,x^2\,2{}\mathrm{i}}{{\left(a-\mathrm{i}\right)}^3}-\frac{b\,x\,1{}\mathrm{i}}{{\left(a-\mathrm{i}\right)}^2}}{x^3}-\frac{4\,b^3\,\mathrm{atan}\left(\frac{\left(a^4-a^3\,4{}\mathrm{i}-6\,a^2+a\,4{}\mathrm{i}+1\right)\,1{}\mathrm{i}}{{\left(a-\mathrm{i}\right)}^4}+\frac{x\,\left(2\,a^{12}\,b^2+12\,a^{10}\,b^2+30\,a^8\,b^2+40\,a^6\,b^2+30\,a^4\,b^2+12\,a^2\,b^2+2\,b^2\right)}{{\left(a-\mathrm{i}\right)}^4\,\left(-1{}\mathrm{i}\,b\,a^9+3\,b\,a^8+8\,b\,a^6+6{}\mathrm{i}\,b\,a^5+6\,b\,a^4+8{}\mathrm{i}\,b\,a^3+3{}\mathrm{i}\,b\,a-b\right)}\right)}{{\left(a-\mathrm{i}\right)}^4}","Not used",1,"((a + 1i)/(3*(a - 1i)) + (b^2*x^2*2i)/(a - 1i)^3 - (b*x*1i)/(a - 1i)^2)/x^3 - (4*b^3*atan(((a*4i - 6*a^2 - a^3*4i + a^4 + 1)*1i)/(a - 1i)^4 + (x*(2*b^2 + 12*a^2*b^2 + 30*a^4*b^2 + 40*a^6*b^2 + 30*a^8*b^2 + 12*a^10*b^2 + 2*a^12*b^2))/((a - 1i)^4*(a*b*3i - b + a^3*b*8i + 6*a^4*b + a^5*b*6i + 8*a^6*b + 3*a^8*b - a^9*b*1i))))/(a - 1i)^4","B"
207,0,-1,324,0.000000,"\text{Not used}","int((x^4*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3,x)","\int \frac{x^4\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^4*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3, x)","F"
208,0,-1,249,0.000000,"\text{Not used}","int((x^3*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3,x)","\int \frac{x^3\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^3*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3, x)","F"
209,0,-1,229,0.000000,"\text{Not used}","int((x^2*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3,x)","\int \frac{x^2\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^2*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3, x)","F"
210,0,-1,163,0.000000,"\text{Not used}","int((x*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3,x)","\int \frac{x\,{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x*((a + b*x)^2 + 1)^(3/2))/(a*1i + b*x*1i + 1)^3, x)","F"
211,0,-1,94,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(3/2)/(a*1i + b*x*1i + 1)^3,x)","\int \frac{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(3/2)/(a*1i + b*x*1i + 1)^3, x)","F"
212,0,-1,134,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(3/2)/(x*(a*1i + b*x*1i + 1)^3),x)","\int \frac{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{x\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(3/2)/(x*(a*1i + b*x*1i + 1)^3), x)","F"
213,0,-1,178,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(3/2)/(x^2*(a*1i + b*x*1i + 1)^3),x)","\int \frac{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{x^2\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(3/2)/(x^2*(a*1i + b*x*1i + 1)^3), x)","F"
214,0,-1,264,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(3/2)/(x^3*(a*1i + b*x*1i + 1)^3),x)","\int \frac{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{x^3\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(3/2)/(x^3*(a*1i + b*x*1i + 1)^3), x)","F"
215,0,-1,339,0.000000,"\text{Not used}","int(((a + b*x)^2 + 1)^(3/2)/(x^4*(a*1i + b*x*1i + 1)^3),x)","\int \frac{{\left({\left(a+b\,x\right)}^2+1\right)}^{3/2}}{x^4\,{\left(1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(((a + b*x)^2 + 1)^(3/2)/(x^4*(a*1i + b*x*1i + 1)^3), x)","F"
216,0,-1,494,0.000000,"\text{Not used}","int(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int x^2\,\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}} \,d x","Not used",1,"int(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
217,0,-1,410,0.000000,"\text{Not used}","int(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int x\,\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}} \,d x","Not used",1,"int(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
218,0,-1,338,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
219,0,-1,395,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}}{x} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)/x, x)","F"
220,0,-1,205,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}}{x^2} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)/x^2, x)","F"
221,0,-1,494,0.000000,"\text{Not used}","int(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int x^2\,{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
222,0,-1,410,0.000000,"\text{Not used}","int(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int x\,{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
223,0,-1,338,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int {\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
224,0,-1,427,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)/x,x)","\int \frac{{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)/x, x)","F"
225,0,-1,211,0.000000,"\text{Not used}","int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)/x^2,x)","\int \frac{{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)/x^2, x)","F"
226,0,-1,494,0.000000,"\text{Not used}","int(x^2/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}} \,d x","Not used",1,"int(x^2/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
227,0,-1,410,0.000000,"\text{Not used}","int(x/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}} \,d x","Not used",1,"int(x/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
228,0,-1,338,0.000000,"\text{Not used}","int(1/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}} \,d x","Not used",1,"int(1/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2), x)","F"
229,0,-1,395,0.000000,"\text{Not used}","int(1/(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}} \,d x","Not used",1,"int(1/(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)), x)","F"
230,0,-1,210,0.000000,"\text{Not used}","int(1/(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}}} \,d x","Not used",1,"int(1/(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(1/2)), x)","F"
231,0,-1,494,0.000000,"\text{Not used}","int(x^2/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int \frac{x^2}{{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
232,0,-1,410,0.000000,"\text{Not used}","int(x/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int \frac{x}{{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(x/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
233,0,-1,338,0.000000,"\text{Not used}","int(1/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2),x)","\int \frac{1}{{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2), x)","F"
234,0,-1,427,0.000000,"\text{Not used}","int(1/(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x\,{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)), x)","F"
235,0,-1,211,0.000000,"\text{Not used}","int(1/(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)),x)","\int \frac{1}{x^2\,{\left(\frac{1+a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}{\sqrt{{\left(a+b\,x\right)}^2+1}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*((a*1i + b*x*1i + 1)/((a + b*x)^2 + 1)^(1/2))^(3/2)), x)","F"
236,0,-1,140,0.000000,"\text{Not used}","int(x^m*exp(n*atan(a + b*x)),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^m*exp(n*atan(a + b*x)), x)","F"
237,0,-1,260,0.000000,"\text{Not used}","int(x^3*exp(n*atan(a + b*x)),x)","\int x^3\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^3*exp(n*atan(a + b*x)), x)","F"
238,0,-1,220,0.000000,"\text{Not used}","int(x^2*exp(n*atan(a + b*x)),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^2*exp(n*atan(a + b*x)), x)","F"
239,0,-1,147,0.000000,"\text{Not used}","int(x*exp(n*atan(a + b*x)),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)} \,d x","Not used",1,"int(x*exp(n*atan(a + b*x)), x)","F"
240,0,-1,91,0.000000,"\text{Not used}","int(exp(n*atan(a + b*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)} \,d x","Not used",1,"int(exp(n*atan(a + b*x)), x)","F"
241,0,-1,191,0.000000,"\text{Not used}","int(exp(n*atan(a + b*x))/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)}}{x} \,d x","Not used",1,"int(exp(n*atan(a + b*x))/x, x)","F"
242,0,-1,128,0.000000,"\text{Not used}","int(exp(n*atan(a + b*x))/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)}}{x^2} \,d x","Not used",1,"int(exp(n*atan(a + b*x))/x^2, x)","F"
243,0,-1,207,0.000000,"\text{Not used}","int(exp(n*atan(a + b*x))/x^3,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a+b\,x\right)}}{x^3} \,d x","Not used",1,"int(exp(n*atan(a + b*x))/x^3, x)","F"
244,0,-1,102,0.000000,"\text{Not used}","int(exp(atan(a*x))*(c + a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^p \,d x","Not used",1,"int(exp(atan(a*x))*(c + a^2*c*x^2)^p, x)","F"
245,0,-1,63,0.000000,"\text{Not used}","int(exp(atan(a*x))*(c + a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(exp(atan(a*x))*(c + a^2*c*x^2)^2, x)","F"
246,0,-1,61,0.000000,"\text{Not used}","int(exp(atan(a*x))*(c + a^2*c*x^2),x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(exp(atan(a*x))*(c + a^2*c*x^2), x)","F"
247,0,-1,60,0.000000,"\text{Not used}","int(exp(atan(a*x)),x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",1,"int(exp(atan(a*x)), x)","F"
248,1,12,13,0.534455,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2),x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}}{a\,c}","Not used",1,"exp(atan(a*x))/(a*c)","B"
249,1,44,50,0.555551,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^2,x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(\frac{3}{5\,a^3\,c^2}+\frac{2\,x}{5\,a^2\,c^2}+\frac{2\,x^2}{5\,a\,c^2}\right)}{\frac{1}{a^2}+x^2}","Not used",1,"(exp(atan(a*x))*(3/(5*a^3*c^2) + (2*x)/(5*a^2*c^2) + (2*x^2)/(5*a*c^2)))/(1/a^2 + x^2)","B"
250,1,74,83,0.623645,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{24\,{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}}{85\,a\,c^3}+\frac{12\,{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x+1\right)}{85\,a\,c^3\,\left(a^2\,x^2+1\right)}+\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(4\,a\,x+1\right)}{17\,a\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(24*exp(atan(a*x)))/(85*a*c^3) + (12*exp(atan(a*x))*(2*a*x + 1))/(85*a*c^3*(a^2*x^2 + 1)) + (exp(atan(a*x))*(4*a*x + 1))/(17*a*c^3*(a^2*x^2 + 1)^2)","B"
251,1,104,116,0.686832,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^4,x)","\frac{144\,{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}}{629\,a\,c^4}+\frac{72\,{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x+1\right)}{629\,a\,c^4\,\left(a^2\,x^2+1\right)}+\frac{30\,{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(4\,a\,x+1\right)}{629\,a\,c^4\,{\left(a^2\,x^2+1\right)}^2}+\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(6\,a\,x+1\right)}{37\,a\,c^4\,{\left(a^2\,x^2+1\right)}^3}","Not used",1,"(144*exp(atan(a*x)))/(629*a*c^4) + (72*exp(atan(a*x))*(2*a*x + 1))/(629*a*c^4*(a^2*x^2 + 1)) + (30*exp(atan(a*x))*(4*a*x + 1))/(629*a*c^4*(a^2*x^2 + 1)^2) + (exp(atan(a*x))*(6*a*x + 1))/(37*a*c^4*(a^2*x^2 + 1)^3)","B"
252,1,134,149,0.738282,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^5,x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(\frac{15357}{40885\,a^9\,c^5}+\frac{25528\,x}{40885\,a^8\,c^5}+\frac{8064\,x^8}{40885\,a\,c^5}+\frac{8064\,x^7}{40885\,a^2\,c^5}+\frac{36288\,x^6}{40885\,a^3\,c^5}+\frac{30912\,x^5}{40885\,a^4\,c^5}+\frac{336\,x^4}{221\,a^5\,c^5}+\frac{43344\,x^3}{40885\,a^6\,c^5}+\frac{48664\,x^2}{40885\,a^7\,c^5}\right)}{\frac{1}{a^8}+x^8+\frac{4\,x^6}{a^2}+\frac{6\,x^4}{a^4}+\frac{4\,x^2}{a^6}}","Not used",1,"(exp(atan(a*x))*(15357/(40885*a^9*c^5) + (25528*x)/(40885*a^8*c^5) + (8064*x^8)/(40885*a*c^5) + (8064*x^7)/(40885*a^2*c^5) + (36288*x^6)/(40885*a^3*c^5) + (30912*x^5)/(40885*a^4*c^5) + (336*x^4)/(221*a^5*c^5) + (43344*x^3)/(40885*a^6*c^5) + (48664*x^2)/(40885*a^7*c^5)))/(1/a^8 + x^8 + (4*x^6)/a^2 + (6*x^4)/a^4 + (4*x^2)/a^6)","B"
253,0,-1,98,0.000000,"\text{Not used}","int(exp(atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(exp(atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
254,0,-1,97,0.000000,"\text{Not used}","int(exp(atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(exp(atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
255,0,-1,93,0.000000,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
256,1,33,35,0.602086,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(\frac{x}{2\,c}+\frac{1}{2\,a\,c}\right)}{\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(atan(a*x))*(x/(2*c) + 1/(2*a*c)))/(c + a^2*c*x^2)^(1/2)","B"
257,1,78,72,0.646376,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(\frac{2}{5\,a^3\,c^2}+\frac{3\,x^3}{10\,c^2}+\frac{3\,x}{5\,a^2\,c^2}+\frac{3\,x^2}{10\,a\,c^2}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^2}+x^2\,\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(atan(a*x))*(2/(5*a^3*c^2) + (3*x^3)/(10*c^2) + (3*x)/(5*a^2*c^2) + (3*x^2)/(10*a*c^2)))/((c + a^2*c*x^2)^(1/2)/a^2 + x^2*(c + a^2*c*x^2)^(1/2))","B"
258,1,120,108,0.666162,"\text{Not used}","int(exp(atan(a*x))/(c + a^2*c*x^2)^(7/2),x)","\frac{{\mathrm{e}}^{\mathrm{atan}\left(a\,x\right)}\,\left(\frac{9}{26\,a^5\,c^3}+\frac{3\,x^5}{13\,c^3}+\frac{17\,x}{26\,a^4\,c^3}+\frac{3\,x^4}{13\,a\,c^3}+\frac{9\,x^3}{13\,a^2\,c^3}+\frac{7\,x^2}{13\,a^3\,c^3}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^4}+x^4\,\sqrt{c\,a^2\,x^2+c}+\frac{2\,x^2\,\sqrt{c\,a^2\,x^2+c}}{a^2}}","Not used",1,"(exp(atan(a*x))*(9/(26*a^5*c^3) + (3*x^5)/(13*c^3) + (17*x)/(26*a^4*c^3) + (3*x^4)/(13*a*c^3) + (9*x^3)/(13*a^2*c^3) + (7*x^2)/(13*a^3*c^3)))/((c + a^2*c*x^2)^(1/2)/a^4 + x^4*(c + a^2*c*x^2)^(1/2) + (2*x^2*(c + a^2*c*x^2)^(1/2))/a^2)","B"
259,0,-1,90,0.000000,"\text{Not used}","int(exp(2*atan(a*x))*(c + a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^p \,d x","Not used",1,"int(exp(2*atan(a*x))*(c + a^2*c*x^2)^p, x)","F"
260,0,-1,53,0.000000,"\text{Not used}","int(exp(2*atan(a*x))*(c + a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(exp(2*atan(a*x))*(c + a^2*c*x^2)^2, x)","F"
261,0,-1,51,0.000000,"\text{Not used}","int(exp(2*atan(a*x))*(c + a^2*c*x^2),x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(exp(2*atan(a*x))*(c + a^2*c*x^2), x)","F"
262,0,-1,46,0.000000,"\text{Not used}","int(exp(2*atan(a*x)),x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",1,"int(exp(2*atan(a*x)), x)","F"
263,1,15,18,0.531734,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2),x)","\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}}{2\,a\,c}","Not used",1,"exp(2*atan(a*x))/(2*a*c)","B"
264,1,46,53,0.577071,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^2,x)","\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{3}{8\,a^3\,c^2}+\frac{x}{4\,a^2\,c^2}+\frac{x^2}{8\,a\,c^2}\right)}{\frac{1}{a^2}+x^2}","Not used",1,"(exp(2*atan(a*x))*(3/(8*a^3*c^2) + x/(4*a^2*c^2) + x^2/(8*a*c^2)))/(1/a^2 + x^2)","B"
265,1,79,88,0.622995,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{3\,{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}}{40\,a\,c^3}+\frac{3\,{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(a\,x+1\right)}{20\,a\,c^3\,\left(a^2\,x^2+1\right)}+\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x+1\right)}{10\,a\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(3*exp(2*atan(a*x)))/(40*a*c^3) + (3*exp(2*atan(a*x))*(a*x + 1))/(20*a*c^3*(a^2*x^2 + 1)) + (exp(2*atan(a*x))*(2*a*x + 1))/(10*a*c^3*(a^2*x^2 + 1)^2)","B"
266,1,111,123,0.665636,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^4,x)","\frac{9\,{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}}{160\,a\,c^4}+\frac{9\,{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(a\,x+1\right)}{80\,a\,c^4\,\left(a^2\,x^2+1\right)}+\frac{3\,{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x+1\right)}{40\,a\,c^4\,{\left(a^2\,x^2+1\right)}^2}+\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(3\,a\,x+1\right)}{20\,a\,c^4\,{\left(a^2\,x^2+1\right)}^3}","Not used",1,"(9*exp(2*atan(a*x)))/(160*a*c^4) + (9*exp(2*atan(a*x))*(a*x + 1))/(80*a*c^4*(a^2*x^2 + 1)) + (3*exp(2*atan(a*x))*(2*a*x + 1))/(40*a*c^4*(a^2*x^2 + 1)^2) + (exp(2*atan(a*x))*(3*a*x + 1))/(20*a*c^4*(a^2*x^2 + 1)^3)","B"
267,0,-1,88,0.000000,"\text{Not used}","int(exp(2*atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(exp(2*atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
268,0,-1,87,0.000000,"\text{Not used}","int(exp(2*atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(exp(2*atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
269,0,-1,87,0.000000,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(2*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
270,1,35,37,0.608290,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{x}{5\,c}+\frac{2}{5\,a\,c}\right)}{\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(2*atan(a*x))*(x/(5*c) + 2/(5*a*c)))/(c + a^2*c*x^2)^(1/2)","B"
271,1,80,76,0.218672,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{22}{65\,a^3\,c^2}+\frac{6\,x^3}{65\,c^2}+\frac{21\,x}{65\,a^2\,c^2}+\frac{12\,x^2}{65\,a\,c^2}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^2}+x^2\,\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(2*atan(a*x))*(22/(65*a^3*c^2) + (6*x^3)/(65*c^2) + (21*x)/(65*a^2*c^2) + (12*x^2)/(65*a*c^2)))/((c + a^2*c*x^2)^(1/2)/a^2 + x^2*(c + a^2*c*x^2)^(1/2))","B"
272,1,122,114,0.693583,"\text{Not used}","int(exp(2*atan(a*x))/(c + a^2*c*x^2)^(7/2),x)","\frac{{\mathrm{e}}^{2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{114}{377\,a^5\,c^3}+\frac{24\,x^5}{377\,c^3}+\frac{149\,x}{377\,a^4\,c^3}+\frac{48\,x^4}{377\,a\,c^3}+\frac{108\,x^3}{377\,a^2\,c^3}+\frac{136\,x^2}{377\,a^3\,c^3}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^4}+x^4\,\sqrt{c\,a^2\,x^2+c}+\frac{2\,x^2\,\sqrt{c\,a^2\,x^2+c}}{a^2}}","Not used",1,"(exp(2*atan(a*x))*(114/(377*a^5*c^3) + (24*x^5)/(377*c^3) + (149*x)/(377*a^4*c^3) + (48*x^4)/(377*a*c^3) + (108*x^3)/(377*a^2*c^3) + (136*x^2)/(377*a^3*c^3)))/((c + a^2*c*x^2)^(1/2)/a^4 + x^4*(c + a^2*c*x^2)^(1/2) + (2*x^2*(c + a^2*c*x^2)^(1/2))/a^2)","B"
273,0,-1,101,0.000000,"\text{Not used}","int(exp(-atan(a*x))*(c + a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^p \,d x","Not used",1,"int(exp(-atan(a*x))*(c + a^2*c*x^2)^p, x)","F"
274,0,-1,63,0.000000,"\text{Not used}","int(exp(-atan(a*x))*(c + a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(exp(-atan(a*x))*(c + a^2*c*x^2)^2, x)","F"
275,0,-1,61,0.000000,"\text{Not used}","int(exp(-atan(a*x))*(c + a^2*c*x^2),x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(exp(-atan(a*x))*(c + a^2*c*x^2), x)","F"
276,0,-1,60,0.000000,"\text{Not used}","int(exp(-atan(a*x)),x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)} \,d x","Not used",1,"int(exp(-atan(a*x)), x)","F"
277,1,15,16,0.525606,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2),x)","-\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}}{a\,c}","Not used",1,"-exp(-atan(a*x))/(a*c)","B"
278,1,47,54,0.555995,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^2,x)","-\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(\frac{3}{5\,a^3\,c^2}-\frac{2\,x}{5\,a^2\,c^2}+\frac{2\,x^2}{5\,a\,c^2}\right)}{\frac{1}{a^2}+x^2}","Not used",1,"-(exp(-atan(a*x))*(3/(5*a^3*c^2) - (2*x)/(5*a^2*c^2) + (2*x^2)/(5*a*c^2)))/(1/a^2 + x^2)","B"
279,1,80,89,0.616836,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{12\,{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x-1\right)}{85\,a\,c^3\,\left(a^2\,x^2+1\right)}-\frac{24\,{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}}{85\,a\,c^3}+\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(4\,a\,x-1\right)}{17\,a\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(12*exp(-atan(a*x))*(2*a*x - 1))/(85*a*c^3*(a^2*x^2 + 1)) - (24*exp(-atan(a*x)))/(85*a*c^3) + (exp(-atan(a*x))*(4*a*x - 1))/(17*a*c^3*(a^2*x^2 + 1)^2)","B"
280,1,112,124,0.678047,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^4,x)","\frac{72\,{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x-1\right)}{629\,a\,c^4\,\left(a^2\,x^2+1\right)}-\frac{144\,{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}}{629\,a\,c^4}+\frac{30\,{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(4\,a\,x-1\right)}{629\,a\,c^4\,{\left(a^2\,x^2+1\right)}^2}+\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(6\,a\,x-1\right)}{37\,a\,c^4\,{\left(a^2\,x^2+1\right)}^3}","Not used",1,"(72*exp(-atan(a*x))*(2*a*x - 1))/(629*a*c^4*(a^2*x^2 + 1)) - (144*exp(-atan(a*x)))/(629*a*c^4) + (30*exp(-atan(a*x))*(4*a*x - 1))/(629*a*c^4*(a^2*x^2 + 1)^2) + (exp(-atan(a*x))*(6*a*x - 1))/(37*a*c^4*(a^2*x^2 + 1)^3)","B"
281,0,-1,98,0.000000,"\text{Not used}","int(exp(-atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(exp(-atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
282,0,-1,97,0.000000,"\text{Not used}","int(exp(-atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(exp(-atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
283,0,-1,93,0.000000,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(-atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
284,1,35,38,0.626044,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(\frac{x}{2\,c}-\frac{1}{2\,a\,c}\right)}{\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(-atan(a*x))*(x/(2*c) - 1/(2*a*c)))/(c + a^2*c*x^2)^(1/2)","B"
285,1,81,77,0.649697,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","-\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(\frac{2}{5\,a^3\,c^2}-\frac{3\,x^3}{10\,c^2}-\frac{3\,x}{5\,a^2\,c^2}+\frac{3\,x^2}{10\,a\,c^2}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^2}+x^2\,\sqrt{c\,a^2\,x^2+c}}","Not used",1,"-(exp(-atan(a*x))*(2/(5*a^3*c^2) - (3*x^3)/(10*c^2) - (3*x)/(5*a^2*c^2) + (3*x^2)/(10*a*c^2)))/((c + a^2*c*x^2)^(1/2)/a^2 + x^2*(c + a^2*c*x^2)^(1/2))","B"
286,1,123,115,0.667183,"\text{Not used}","int(exp(-atan(a*x))/(c + a^2*c*x^2)^(7/2),x)","-\frac{{\mathrm{e}}^{-\mathrm{atan}\left(a\,x\right)}\,\left(\frac{9}{26\,a^5\,c^3}-\frac{3\,x^5}{13\,c^3}-\frac{17\,x}{26\,a^4\,c^3}+\frac{3\,x^4}{13\,a\,c^3}-\frac{9\,x^3}{13\,a^2\,c^3}+\frac{7\,x^2}{13\,a^3\,c^3}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^4}+x^4\,\sqrt{c\,a^2\,x^2+c}+\frac{2\,x^2\,\sqrt{c\,a^2\,x^2+c}}{a^2}}","Not used",1,"-(exp(-atan(a*x))*(9/(26*a^5*c^3) - (3*x^5)/(13*c^3) - (17*x)/(26*a^4*c^3) + (3*x^4)/(13*a*c^3) - (9*x^3)/(13*a^2*c^3) + (7*x^2)/(13*a^3*c^3)))/((c + a^2*c*x^2)^(1/2)/a^4 + x^4*(c + a^2*c*x^2)^(1/2) + (2*x^2*(c + a^2*c*x^2)^(1/2))/a^2)","B"
287,0,-1,90,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^p \,d x","Not used",1,"int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^p, x)","F"
288,0,-1,53,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^2, x)","F"
289,0,-1,51,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))*(c + a^2*c*x^2),x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(exp(-2*atan(a*x))*(c + a^2*c*x^2), x)","F"
290,0,-1,46,0.000000,"\text{Not used}","int(exp(-2*atan(a*x)),x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",1,"int(exp(-2*atan(a*x)), x)","F"
291,1,15,18,0.532339,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2),x)","-\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}}{2\,a\,c}","Not used",1,"-exp(-2*atan(a*x))/(2*a*c)","B"
292,1,47,54,0.565995,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^2,x)","-\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{3}{8\,a^3\,c^2}-\frac{x}{4\,a^2\,c^2}+\frac{x^2}{8\,a\,c^2}\right)}{\frac{1}{a^2}+x^2}","Not used",1,"-(exp(-2*atan(a*x))*(3/(8*a^3*c^2) - x/(4*a^2*c^2) + x^2/(8*a*c^2)))/(1/a^2 + x^2)","B"
293,1,79,89,0.621220,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{3\,{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(a\,x-1\right)}{20\,a\,c^3\,\left(a^2\,x^2+1\right)}-\frac{3\,{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}}{40\,a\,c^3}+\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x-1\right)}{10\,a\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(3*exp(-2*atan(a*x))*(a*x - 1))/(20*a*c^3*(a^2*x^2 + 1)) - (3*exp(-2*atan(a*x)))/(40*a*c^3) + (exp(-2*atan(a*x))*(2*a*x - 1))/(10*a*c^3*(a^2*x^2 + 1)^2)","B"
294,1,111,124,0.671639,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^4,x)","\frac{9\,{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(a\,x-1\right)}{80\,a\,c^4\,\left(a^2\,x^2+1\right)}-\frac{9\,{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}}{160\,a\,c^4}+\frac{3\,{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(2\,a\,x-1\right)}{40\,a\,c^4\,{\left(a^2\,x^2+1\right)}^2}+\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(3\,a\,x-1\right)}{20\,a\,c^4\,{\left(a^2\,x^2+1\right)}^3}","Not used",1,"(9*exp(-2*atan(a*x))*(a*x - 1))/(80*a*c^4*(a^2*x^2 + 1)) - (9*exp(-2*atan(a*x)))/(160*a*c^4) + (3*exp(-2*atan(a*x))*(2*a*x - 1))/(40*a*c^4*(a^2*x^2 + 1)^2) + (exp(-2*atan(a*x))*(3*a*x - 1))/(20*a*c^4*(a^2*x^2 + 1)^3)","B"
295,0,-1,88,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
296,0,-1,87,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(exp(-2*atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
297,0,-1,87,0.000000,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
298,1,35,38,0.178039,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{x}{5\,c}-\frac{2}{5\,a\,c}\right)}{\sqrt{c\,a^2\,x^2+c}}","Not used",1,"(exp(-2*atan(a*x))*(x/(5*c) - 2/(5*a*c)))/(c + a^2*c*x^2)^(1/2)","B"
299,1,81,77,0.632513,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","-\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{22}{65\,a^3\,c^2}-\frac{6\,x^3}{65\,c^2}-\frac{21\,x}{65\,a^2\,c^2}+\frac{12\,x^2}{65\,a\,c^2}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^2}+x^2\,\sqrt{c\,a^2\,x^2+c}}","Not used",1,"-(exp(-2*atan(a*x))*(22/(65*a^3*c^2) - (6*x^3)/(65*c^2) - (21*x)/(65*a^2*c^2) + (12*x^2)/(65*a*c^2)))/((c + a^2*c*x^2)^(1/2)/a^2 + x^2*(c + a^2*c*x^2)^(1/2))","B"
300,1,123,115,0.661326,"\text{Not used}","int(exp(-2*atan(a*x))/(c + a^2*c*x^2)^(7/2),x)","-\frac{{\mathrm{e}}^{-2\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{114}{377\,a^5\,c^3}-\frac{24\,x^5}{377\,c^3}-\frac{149\,x}{377\,a^4\,c^3}+\frac{48\,x^4}{377\,a\,c^3}-\frac{108\,x^3}{377\,a^2\,c^3}+\frac{136\,x^2}{377\,a^3\,c^3}\right)}{\frac{\sqrt{c\,a^2\,x^2+c}}{a^4}+x^4\,\sqrt{c\,a^2\,x^2+c}+\frac{2\,x^2\,\sqrt{c\,a^2\,x^2+c}}{a^2}}","Not used",1,"-(exp(-2*atan(a*x))*(114/(377*a^5*c^3) - (24*x^5)/(377*c^3) - (149*x)/(377*a^4*c^3) + (48*x^4)/(377*a*c^3) - (108*x^3)/(377*a^2*c^3) + (136*x^2)/(377*a^3*c^3)))/((c + a^2*c*x^2)^(1/2)/a^4 + x^4*(c + a^2*c*x^2)^(1/2) + (2*x^2*(c + a^2*c*x^2)^(1/2))/a^2)","B"
301,1,49,50,0.134980,"\text{Not used}","int((a*x*1i + 1)^5/(a^2*x^2 + 1)^3,x)","\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,1{}\mathrm{i}}{a}-\frac{\frac{4\,x}{a^2}+\frac{2{}\mathrm{i}}{a^3}}{x^2-\frac{1}{a^2}+\frac{x\,2{}\mathrm{i}}{a}}","Not used",1,"(log(x + 1i/a)*1i)/a - ((4*x)/a^2 + 2i/a^3)/((x*2i)/a - 1/a^2 + x^2)","B"
302,1,92,73,0.529946,"\text{Not used}","int((a*x*1i + 1)^4/(a^2*x^2 + 1)^(5/2),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}-\frac{8\,\sqrt{a^2\,x^2+1}}{3\,\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}+\frac{a\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{3\,\left(a^4\,x^2+a^3\,x\,2{}\mathrm{i}-a^2\right)}","Not used",1,"asinh(x*(a^2)^(1/2))/(a^2)^(1/2) - (8*(a^2*x^2 + 1)^(1/2))/(3*(((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2)) + (a*(a^2*x^2 + 1)^(1/2)*4i)/(3*(a^3*x*2i - a^2 + a^4*x^2))","B"
303,1,28,30,0.490747,"\text{Not used}","int((a*x*1i + 1)^3/(a^2*x^2 + 1)^2,x)","\frac{2}{x\,a^2+a\,1{}\mathrm{i}}-\frac{\ln\left(a\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"2/(a*1i + a^2*x) - (log(a*x + 1i)*1i)/a","B"
304,1,55,41,0.489061,"\text{Not used}","int((a*x*1i + 1)^2/(a^2*x^2 + 1)^(3/2),x)","-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}+\frac{2\,\sqrt{a^2\,x^2+1}}{\left(x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"(2*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a + x*(a^2)^(1/2))*(a^2)^(1/2)) - asinh(x*(a^2)^(1/2))/(a^2)^(1/2)","B"
305,1,15,15,0.474180,"\text{Not used}","int((a*x*1i + 1)/(a^2*x^2 + 1),x)","\frac{\ln\left(x+\frac{1{}\mathrm{i}}{a}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(log(x + 1i/a)*1i)/a","B"
306,1,15,16,0.475346,"\text{Not used}","int(1/(a*x*1i + 1),x)","-\frac{\ln\left(x-\frac{1{}\mathrm{i}}{a}\right)\,1{}\mathrm{i}}{a}","Not used",1,"-(log(x - 1i/a)*1i)/a","B"
307,1,56,41,0.485791,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(a*x*1i + 1)^2,x)","-\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}-\frac{2\,\sqrt{a^2\,x^2+1}}{\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}","Not used",1,"- asinh(x*(a^2)^(1/2))/(a^2)^(1/2) - (2*(a^2*x^2 + 1)^(1/2))/((((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2))","B"
308,1,29,32,0.493389,"\text{Not used}","int((a^2*x^2 + 1)/(a*x*1i + 1)^3,x)","-\frac{2}{-a^2\,x+a\,1{}\mathrm{i}}+\frac{\ln\left(a\,x-\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(log(a*x - 1i)*1i)/a - 2/(a*1i - a^2*x)","B"
309,1,93,73,0.102124,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/(a*x*1i + 1)^4,x)","\frac{\mathrm{asinh}\left(x\,\sqrt{a^2}\right)}{\sqrt{a^2}}+\frac{8\,\sqrt{a^2\,x^2+1}}{3\,\left(-x\,\sqrt{a^2}+\frac{\sqrt{a^2}\,1{}\mathrm{i}}{a}\right)\,\sqrt{a^2}}+\frac{a\,\sqrt{a^2\,x^2+1}\,4{}\mathrm{i}}{3\,\left(-a^4\,x^2+a^3\,x\,2{}\mathrm{i}+a^2\right)}","Not used",1,"asinh(x*(a^2)^(1/2))/(a^2)^(1/2) + (8*(a^2*x^2 + 1)^(1/2))/(3*(((a^2)^(1/2)*1i)/a - x*(a^2)^(1/2))*(a^2)^(1/2)) + (a*(a^2*x^2 + 1)^(1/2)*4i)/(3*(a^3*x*2i + a^2 - a^4*x^2))","B"
310,0,-1,131,0.000000,"\text{Not used}","int((a*x*1i + 1)^5/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(5/2)),x)","\int \frac{{\left(1+a\,x\,1{}\mathrm{i}\right)}^5}{\sqrt{c\,a^2\,x^2+c}\,{\left(a^2\,x^2+1\right)}^{5/2}} \,d x","Not used",1,"int((a*x*1i + 1)^5/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(5/2)), x)","F"
311,0,-1,96,0.000000,"\text{Not used}","int((a*x*1i + 1)^4/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^2),x)","\int \frac{{\left(1+a\,x\,1{}\mathrm{i}\right)}^4}{\sqrt{c\,a^2\,x^2+c}\,{\left(a^2\,x^2+1\right)}^2} \,d x","Not used",1,"int((a*x*1i + 1)^4/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^2), x)","F"
312,0,-1,84,0.000000,"\text{Not used}","int((a*x*1i + 1)^3/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(3/2)),x)","\int \frac{{\left(1+a\,x\,1{}\mathrm{i}\right)}^3}{\sqrt{c\,a^2\,x^2+c}\,{\left(a^2\,x^2+1\right)}^{3/2}} \,d x","Not used",1,"int((a*x*1i + 1)^3/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(3/2)), x)","F"
313,0,-1,63,0.000000,"\text{Not used}","int((a*x*1i + 1)^2/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)),x)","\int \frac{{\left(1+a\,x\,1{}\mathrm{i}\right)}^2}{\sqrt{c\,a^2\,x^2+c}\,\left(a^2\,x^2+1\right)} \,d x","Not used",1,"int((a*x*1i + 1)^2/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)), x)","F"
314,0,-1,42,0.000000,"\text{Not used}","int((a*x*1i + 1)/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(1/2)),x)","\int \frac{1+a\,x\,1{}\mathrm{i}}{\sqrt{c\,a^2\,x^2+c}\,\sqrt{a^2\,x^2+1}} \,d x","Not used",1,"int((a*x*1i + 1)/((c + a^2*c*x^2)^(1/2)*(a^2*x^2 + 1)^(1/2)), x)","F"
315,0,-1,43,0.000000,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)),x)","\int \frac{\sqrt{a^2\,x^2+1}}{\sqrt{c\,a^2\,x^2+c}\,\left(1+a\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a^2*x^2 + 1)^(1/2)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)), x)","F"
316,0,-1,63,0.000000,"\text{Not used}","int((a^2*x^2 + 1)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^2),x)","\int \frac{a^2\,x^2+1}{\sqrt{c\,a^2\,x^2+c}\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a^2*x^2 + 1)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^2), x)","F"
317,0,-1,86,0.000000,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^3),x)","\int \frac{{\left(a^2\,x^2+1\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a^2*x^2 + 1)^(3/2)/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^3), x)","F"
318,0,-1,96,0.000000,"\text{Not used}","int((a^2*x^2 + 1)^2/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^4),x)","\int \frac{{\left(a^2\,x^2+1\right)}^2}{\sqrt{c\,a^2\,x^2+c}\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((a^2*x^2 + 1)^2/((c + a^2*c*x^2)^(1/2)*(a*x*1i + 1)^4), x)","F"
319,1,21,35,0.096945,"\text{Not used}","int((a*x*1i + 1)^5/(a^2*x^2 + 1)^4,x)","-\frac{3\,a\,x-\mathrm{i}}{6\,a\,{\left(-1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(3*a*x - 1i)/(6*a*(a*x*1i - 1)^3)","B"
320,1,41,67,0.515010,"\text{Not used}","int((a*x*1i + 1)^4/(a^2*x^2 + 1)^(7/2),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(a^2\,x^2\,1{}\mathrm{i}-3\,a\,x+4{}\mathrm{i}\right)}{15\,a\,{\left(-1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"((a^2*x^2 + 1)^(1/2)*(a^2*x^2*1i - 3*a*x + 4i))/(15*a*(a*x*1i - 1)^3)","B"
321,1,24,19,0.500463,"\text{Not used}","int((a*x*1i + 1)^3/(a^2*x^2 + 1)^3,x)","\frac{1{}\mathrm{i}}{2\,\left(a^3\,x^2+a^2\,x\,2{}\mathrm{i}-a\right)}","Not used",1,"1i/(2*(a^2*x*2i - a + a^3*x^2))","B"
322,1,33,67,0.496225,"\text{Not used}","int((a*x*1i + 1)^2/(a^2*x^2 + 1)^(5/2),x)","\frac{\sqrt{a^2\,x^2+1}\,\left(-2+a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,a\,{\left(-1+a\,x\,1{}\mathrm{i}\right)}^2}","Not used",1,"((a^2*x^2 + 1)^(1/2)*(a*x*1i - 2)*1i)/(3*a*(a*x*1i - 1)^2)","B"
323,1,23,28,0.481923,"\text{Not used}","int((a*x*1i + 1)/(a^2*x^2 + 1)^2,x)","\frac{1}{2\,\left(x\,a^2+a\,1{}\mathrm{i}\right)}+\frac{\mathrm{atan}\left(a\,x\right)}{2\,a}","Not used",1,"1/(2*(a*1i + a^2*x)) + atan(a*x)/(2*a)","B"
324,1,25,29,0.482335,"\text{Not used}","int(1/((a^2*x^2 + 1)*(a*x*1i + 1)),x)","\frac{\mathrm{atan}\left(a\,x\right)}{2\,a}-\frac{1}{2\,\left(-a^2\,x+a\,1{}\mathrm{i}\right)}","Not used",1,"atan(a*x)/(2*a) - 1/(2*(a*1i - a^2*x))","B"
325,1,31,67,0.059529,"\text{Not used}","int(1/((a^2*x^2 + 1)^(1/2)*(a*x*1i + 1)^2),x)","-\frac{\sqrt{a^2\,x^2+1}\,\left(a\,x-2{}\mathrm{i}\right)}{3\,a\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^2}","Not used",1,"-((a^2*x^2 + 1)^(1/2)*(a*x - 2i))/(3*a*(a*x*1i + 1)^2)","B"
326,1,24,19,0.051210,"\text{Not used}","int(1/(a*x*1i + 1)^3,x)","\frac{1{}\mathrm{i}}{2\,\left(-a^3\,x^2+a^2\,x\,2{}\mathrm{i}+a\right)}","Not used",1,"1i/(2*(a + a^2*x*2i - a^3*x^2))","B"
327,1,40,67,0.516410,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/(a*x*1i + 1)^4,x)","\frac{\sqrt{a^2\,x^2+1}\,\left(a^2\,x^2-a\,x\,3{}\mathrm{i}+4\right)\,1{}\mathrm{i}}{15\,a\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"((a^2*x^2 + 1)^(1/2)*(a^2*x^2 - a*x*3i + 4)*1i)/(15*a*(a*x*1i + 1)^3)","B"
328,1,48,95,1.619839,"\text{Not used}","int((a*x*1i + 1)^5/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(5/2)),x)","-\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,\left(3\,a\,x-\mathrm{i}\right)}{6\,a\,c^2\,\sqrt{a^2\,x^2+1}\,{\left(-1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"-((c*(a^2*x^2 + 1))^(1/2)*(3*a*x - 1i))/(6*a*c^2*(a^2*x^2 + 1)^(1/2)*(a*x*1i - 1)^3)","B"
329,1,46,69,0.978658,"\text{Not used}","int((a*x*1i + 1)^4/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^2),x)","\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,\left(a^2\,x^2\,1{}\mathrm{i}-3\,a\,x+4{}\mathrm{i}\right)}{15\,a\,c^2\,{\left(-1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"((c*(a^2*x^2 + 1))^(1/2)*(a^2*x^2*1i - 3*a*x + 4i))/(15*a*c^2*(a*x*1i - 1)^3)","B"
330,1,41,49,1.245274,"\text{Not used}","int((a*x*1i + 1)^3/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(3/2)),x)","\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,1{}\mathrm{i}}{2\,a\,c^2\,\sqrt{a^2\,x^2+1}\,{\left(a\,x+1{}\mathrm{i}\right)}^2}","Not used",1,"((c*(a^2*x^2 + 1))^(1/2)*1i)/(2*a*c^2*(a^2*x^2 + 1)^(1/2)*(a*x + 1i)^2)","B"
331,1,32,54,0.652283,"\text{Not used}","int((a*x*1i + 1)^2/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)),x)","\frac{a^3\,x^3+3\,a\,x-2{}\mathrm{i}}{3\,a\,{\left(c\,\left(a^2\,x^2+1\right)\right)}^{3/2}}","Not used",1,"(3*a*x + a^3*x^3 - 2i)/(3*a*(c*(a^2*x^2 + 1))^(3/2))","B"
332,0,-1,88,0.000000,"\text{Not used}","int((a*x*1i + 1)/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(1/2)),x)","\int \frac{1+a\,x\,1{}\mathrm{i}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}\,\sqrt{a^2\,x^2+1}} \,d x","Not used",1,"int((a*x*1i + 1)/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(1/2)), x)","F"
333,0,-1,89,0.000000,"\text{Not used}","int((a^2*x^2 + 1)^(1/2)/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)),x)","\int \frac{\sqrt{a^2\,x^2+1}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}\,\left(1+a\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a^2*x^2 + 1)^(1/2)/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)), x)","F"
334,1,32,54,0.652441,"\text{Not used}","int((a^2*x^2 + 1)/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)^2),x)","\frac{a^3\,x^3+3\,a\,x+2{}\mathrm{i}}{3\,a\,{\left(c\,\left(a^2\,x^2+1\right)\right)}^{3/2}}","Not used",1,"(3*a*x + a^3*x^3 + 2i)/(3*a*(c*(a^2*x^2 + 1))^(3/2))","B"
335,1,49,49,1.065370,"\text{Not used}","int((a^2*x^2 + 1)^(3/2)/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)^3),x)","-\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,\sqrt{a^2\,x^2+1}}{2\,a\,c^2\,\left(a\,x+1{}\mathrm{i}\right)\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"-((c*(a^2*x^2 + 1))^(1/2)*(a^2*x^2 + 1)^(1/2))/(2*a*c^2*(a*x + 1i)*(a*x*1i + 1)^3)","B"
336,1,45,69,0.995883,"\text{Not used}","int((a^2*x^2 + 1)^2/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)^4),x)","\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,\left(a^2\,x^2-a\,x\,3{}\mathrm{i}+4\right)\,1{}\mathrm{i}}{15\,a\,c^2\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^3}","Not used",1,"((c*(a^2*x^2 + 1))^(1/2)*(a^2*x^2 - a*x*3i + 4)*1i)/(15*a*c^2*(a*x*1i + 1)^3)","B"
337,0,-1,86,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2)^2, x)","F"
338,0,-1,84,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2), x)","F"
339,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atan(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",1,"int(exp(n*atan(a*x)), x)","F"
340,0,-1,131,0.000000,"\text{Not used}","int((x^3*exp(n*atan(a*x)))/(c + a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^3*exp(n*atan(a*x)))/(c + a^2*c*x^2), x)","F"
341,0,-1,164,0.000000,"\text{Not used}","int((x^2*exp(n*atan(a*x)))/(c + a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^2*exp(n*atan(a*x)))/(c + a^2*c*x^2), x)","F"
342,0,-1,122,0.000000,"\text{Not used}","int((x*exp(n*atan(a*x)))/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x*exp(n*atan(a*x)))/(c + a^2*c*x^2), x)","F"
343,1,17,18,0.633979,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2),x)","\frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{a\,c\,n}","Not used",1,"exp(n*atan(a*x))/(a*c*n)","B"
344,0,-1,65,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x*(c + a^2*c*x^2)), x)","F"
345,0,-1,90,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x^2*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x^2*(c + a^2*c*x^2)), x)","F"
346,0,-1,126,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x^3*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x^3*(c + a^2*c*x^2)), x)","F"
347,1,281,181,0.868858,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^4,x)","\frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,\left(\frac{720\,x^5}{a^2\,c^4\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{n^6+50\,n^4+544\,n^2+720}{a^7\,c^4\,n\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{720\,x^6}{a\,c^4\,n\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{6\,x\,\left(n^4+40\,n^2+264\right)}{a^6\,c^4\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{120\,x^3\,\left(n^2+16\right)}{a^4\,c^4\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{360\,x^4\,\left(n^2+6\right)}{a^3\,c^4\,n\,\left(n^6+56\,n^4+784\,n^2+2304\right)}+\frac{30\,x^2\,\left(n^4+28\,n^2+72\right)}{a^5\,c^4\,n\,\left(n^6+56\,n^4+784\,n^2+2304\right)}\right)}{\frac{1}{a^6}+x^6+\frac{3\,x^4}{a^2}+\frac{3\,x^2}{a^4}}","Not used",1,"(exp(n*atan(a*x))*((720*x^5)/(a^2*c^4*(784*n^2 + 56*n^4 + n^6 + 2304)) + (544*n^2 + 50*n^4 + n^6 + 720)/(a^7*c^4*n*(784*n^2 + 56*n^4 + n^6 + 2304)) + (720*x^6)/(a*c^4*n*(784*n^2 + 56*n^4 + n^6 + 2304)) + (6*x*(40*n^2 + n^4 + 264))/(a^6*c^4*(784*n^2 + 56*n^4 + n^6 + 2304)) + (120*x^3*(n^2 + 16))/(a^4*c^4*(784*n^2 + 56*n^4 + n^6 + 2304)) + (360*x^4*(n^2 + 6))/(a^3*c^4*n*(784*n^2 + 56*n^4 + n^6 + 2304)) + (30*x^2*(28*n^2 + n^4 + 72))/(a^5*c^4*n*(784*n^2 + 56*n^4 + n^6 + 2304))))/(1/a^6 + x^6 + (3*x^4)/a^2 + (3*x^2)/a^4)","B"
348,0,-1,121,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
349,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
350,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
351,0,-1,283,0.000000,"\text{Not used}","int(x^2*exp(n*atan(a*x))*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^2*exp(n*atan(a*x))*(c + a^2*c*x^2)^(3/2), x)","F"
352,0,-1,280,0.000000,"\text{Not used}","int(x^2*exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^2*exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/2), x)","F"
353,0,-1,322,0.000000,"\text{Not used}","int((x^3*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^3*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2), x)","F"
354,0,-1,291,0.000000,"\text{Not used}","int((x^2*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^2*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2), x)","F"
355,0,-1,202,0.000000,"\text{Not used}","int((x*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2), x)","F"
356,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
357,0,-1,121,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
358,0,-1,196,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
359,0,-1,281,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
360,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/3),x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{1/3} \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2)^(1/3), x)","F"
361,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/3),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{1/3}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(1/3), x)","F"
362,0,-1,120,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(2/3),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{2/3}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(2/3), x)","F"
363,0,-1,123,0.000000,"\text{Not used}","int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(4/3),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{4/3}} \,d x","Not used",1,"int(exp(n*atan(a*x))/(c + a^2*c*x^2)^(4/3), x)","F"
364,0,-1,49,0.000000,"\text{Not used}","int(x^m*exp(n*atan(a*x))*(c + a^2*c*x^2),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x^m*exp(n*atan(a*x))*(c + a^2*c*x^2), x)","F"
365,0,-1,51,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2), x)","F"
366,0,-1,51,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^2, x)","F"
367,0,-1,51,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^3,x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^3, x)","F"
368,0,-1,79,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(1/2), x)","F"
369,0,-1,82,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(3/2), x)","F"
370,0,-1,82,0.000000,"\text{Not used}","int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^m*exp(n*atan(a*x)))/(c + a^2*c*x^2)^(5/2), x)","F"
371,0,-1,115,0.000000,"\text{Not used}","int(exp(n*atan(a*x))*(c + a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^p \,d x","Not used",1,"int(exp(n*atan(a*x))*(c + a^2*c*x^2)^p, x)","F"
372,1,54,53,0.658498,"\text{Not used}","int(exp(-p*atan(a*x)*2i)*(c + a^2*c*x^2)^p,x)","\left(\frac{x\,{\mathrm{e}}^{-p\,\mathrm{atan}\left(a\,x\right)\,2{}\mathrm{i}}}{2\,p+1}+\frac{{\mathrm{e}}^{-p\,\mathrm{atan}\left(a\,x\right)\,2{}\mathrm{i}}\,1{}\mathrm{i}}{a\,\left(2\,p+1\right)}\right)\,{\left(c\,a^2\,x^2+c\right)}^p","Not used",1,"((x*exp(-p*atan(a*x)*2i))/(2*p + 1) + (exp(-p*atan(a*x)*2i)*1i)/(a*(2*p + 1)))*(c + a^2*c*x^2)^p","B"
373,1,54,53,0.590843,"\text{Not used}","int(exp(p*atan(a*x)*2i)*(c + a^2*c*x^2)^p,x)","\left(\frac{x\,{\mathrm{e}}^{p\,\mathrm{atan}\left(a\,x\right)\,2{}\mathrm{i}}}{2\,p+1}-\frac{{\mathrm{e}}^{p\,\mathrm{atan}\left(a\,x\right)\,2{}\mathrm{i}}\,1{}\mathrm{i}}{a\,\left(2\,p+1\right)}\right)\,{\left(c\,a^2\,x^2+c\right)}^p","Not used",1,"((x*exp(p*atan(a*x)*2i))/(2*p + 1) - (exp(p*atan(a*x)*2i)*1i)/(a*(2*p + 1)))*(c + a^2*c*x^2)^p","B"
374,0,-1,60,0.000000,"\text{Not used}","int((x^2*exp(n*atan(a*x)*1i))/(c + a^2*c*x^2)^(n^2/2 + 1),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atan}\left(a\,x\right)\,1{}\mathrm{i}}}{{\left(c\,a^2\,x^2+c\right)}^{\frac{n^2}{2}+1}} \,d x","Not used",1,"int((x^2*exp(n*atan(a*x)*1i))/(c + a^2*c*x^2)^(n^2/2 + 1), x)","F"
375,-1,-1,38,0.000000,"\text{Not used}","int((x^2*(a*x*1i + 1)^6)/((c + a^2*c*x^2)^19*(a^2*x^2 + 1)^3),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
376,1,160,38,3.580750,"\text{Not used}","int((x^2*(a*x*1i + 1)^4)/((c + a^2*c*x^2)^9*(a^2*x^2 + 1)^2),x)","-\frac{4\,a^5\,x^5-a^4\,x^4\,15{}\mathrm{i}-20\,a^3\,x^3+a^2\,x^2\,10{}\mathrm{i}+1{}\mathrm{i}}{60\,a^{23}\,c^9\,x^{20}+600\,a^{21}\,c^9\,x^{18}+2700\,a^{19}\,c^9\,x^{16}+7200\,a^{17}\,c^9\,x^{14}+12600\,a^{15}\,c^9\,x^{12}+15120\,a^{13}\,c^9\,x^{10}+12600\,a^{11}\,c^9\,x^8+7200\,a^9\,c^9\,x^6+2700\,a^7\,c^9\,x^4+600\,a^5\,c^9\,x^2+60\,a^3\,c^9}","Not used",1,"-(a^2*x^2*10i - 20*a^3*x^3 - a^4*x^4*15i + 4*a^5*x^5 + 1i)/(60*a^3*c^9 + 600*a^5*c^9*x^2 + 2700*a^7*c^9*x^4 + 7200*a^9*c^9*x^6 + 12600*a^11*c^9*x^8 + 15120*a^13*c^9*x^10 + 12600*a^15*c^9*x^12 + 7200*a^17*c^9*x^14 + 2700*a^19*c^9*x^16 + 600*a^21*c^9*x^18 + 60*a^23*c^9*x^20)","B"
377,1,47,38,0.640074,"\text{Not used}","int((x^2*(a*x*1i + 1)^2)/((c + a^2*c*x^2)^3*(a^2*x^2 + 1)),x)","\frac{\frac{x}{3\,a^6\,c^3}+\frac{1{}\mathrm{i}}{6\,a^7\,c^3}}{\frac{x\,2{}\mathrm{i}}{a^3}-\frac{1}{a^4}+x^4+\frac{x^3\,2{}\mathrm{i}}{a}}","Not used",1,"(1i/(6*a^7*c^3) + x/(3*a^6*c^3))/((x*2i)/a^3 - 1/a^4 + x^4 + (x^3*2i)/a)","B"
378,1,65,38,0.588379,"\text{Not used}","int((x^2*(a^2*x^2 + 1))/((c + a^2*c*x^2)^3*(a*x*1i + 1)^2),x)","\frac{2\,a^3\,x^3+a^2\,x^2\,3{}\mathrm{i}+1{}\mathrm{i}}{6\,a^9\,c^3\,x^6+18\,a^7\,c^3\,x^4+18\,a^5\,c^3\,x^2+6\,a^3\,c^3}","Not used",1,"(a^2*x^2*3i + 2*a^3*x^3 + 1i)/(6*a^3*c^3 + 18*a^5*c^3*x^2 + 18*a^7*c^3*x^4 + 6*a^9*c^3*x^6)","B"
379,1,159,38,3.400482,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^2)/((c + a^2*c*x^2)^9*(a*x*1i + 1)^4),x)","\frac{-4\,a^5\,x^5-a^4\,x^4\,15{}\mathrm{i}+20\,a^3\,x^3+a^2\,x^2\,10{}\mathrm{i}+1{}\mathrm{i}}{60\,a^{23}\,c^9\,x^{20}+600\,a^{21}\,c^9\,x^{18}+2700\,a^{19}\,c^9\,x^{16}+7200\,a^{17}\,c^9\,x^{14}+12600\,a^{15}\,c^9\,x^{12}+15120\,a^{13}\,c^9\,x^{10}+12600\,a^{11}\,c^9\,x^8+7200\,a^9\,c^9\,x^6+2700\,a^7\,c^9\,x^4+600\,a^5\,c^9\,x^2+60\,a^3\,c^9}","Not used",1,"(a^2*x^2*10i + 20*a^3*x^3 - a^4*x^4*15i - 4*a^5*x^5 + 1i)/(60*a^3*c^9 + 600*a^5*c^9*x^2 + 2700*a^7*c^9*x^4 + 7200*a^9*c^9*x^6 + 12600*a^11*c^9*x^8 + 15120*a^13*c^9*x^10 + 12600*a^15*c^9*x^12 + 7200*a^17*c^9*x^14 + 2700*a^19*c^9*x^16 + 600*a^21*c^9*x^18 + 60*a^23*c^9*x^20)","B"
380,1,46,65,2.209903,"\text{Not used}","int((x^2*(a*x*1i + 1)^5)/((c + a^2*c*x^2)^(27/2)*(a^2*x^2 + 1)^(5/2)),x)","-\frac{c\,{\left(a\,x-\mathrm{i}\right)}^5\,\left(5\,a\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{120\,a^3\,{\left(c\,\left(a^2\,x^2+1\right)\right)}^{29/2}\,\sqrt{a^2\,x^2+1}}","Not used",1,"-(c*(a*x - 1i)^5*(5*a*x + 1i)*1i)/(120*a^3*(c*(a^2*x^2 + 1))^(29/2)*(a^2*x^2 + 1)^(1/2))","B"
381,1,48,65,1.597534,"\text{Not used}","int((x^2*(a*x*1i + 1)^3)/((c + a^2*c*x^2)^(11/2)*(a^2*x^2 + 1)^(3/2)),x)","\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,{\left(a\,x-\mathrm{i}\right)}^3\,\left(3\,a\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{24\,a^3\,c^6\,{\left(a^2\,x^2+1\right)}^{13/2}}","Not used",1,"((c*(a^2*x^2 + 1))^(1/2)*(a*x - 1i)^3*(3*a*x + 1i)*1i)/(24*a^3*c^6*(a^2*x^2 + 1)^(13/2))","B"
382,0,-1,142,0.000000,"\text{Not used}","int((x^2*(a*x*1i + 1))/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(1/2)),x)","\int \frac{x^2\,\left(1+a\,x\,1{}\mathrm{i}\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}\,\sqrt{a^2\,x^2+1}} \,d x","Not used",1,"int((x^2*(a*x*1i + 1))/((c + a^2*c*x^2)^(3/2)*(a^2*x^2 + 1)^(1/2)), x)","F"
383,0,-1,143,0.000000,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^(1/2))/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)),x)","\int \frac{x^2\,\sqrt{a^2\,x^2+1}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}\,\left(1+a\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((x^2*(a^2*x^2 + 1)^(1/2))/((c + a^2*c*x^2)^(3/2)*(a*x*1i + 1)), x)","F"
384,1,57,65,1.588992,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^(3/2))/((c + a^2*c*x^2)^(11/2)*(a*x*1i + 1)^3),x)","\frac{\sqrt{c\,\left(a^2\,x^2+1\right)}\,\sqrt{a^2\,x^2+1}\,\left(1+a\,x\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{24\,a^3\,c^6\,{\left(a\,x+1{}\mathrm{i}\right)}^4\,{\left(1+a\,x\,1{}\mathrm{i}\right)}^7}","Not used",1,"((c*(a^2*x^2 + 1))^(1/2)*(a^2*x^2 + 1)^(1/2)*(a*x*3i + 1)*1i)/(24*a^3*c^6*(a*x + 1i)^4*(a*x*1i + 1)^7)","B"
385,1,47,65,3.088680,"\text{Not used}","int((x^2*(a^2*x^2 + 1)^(5/2))/((c + a^2*c*x^2)^(27/2)*(a*x*1i + 1)^5),x)","\frac{c^2\,\sqrt{a^2\,x^2+1}\,{\left(a\,x+1{}\mathrm{i}\right)}^5\,\left(1+a\,x\,5{}\mathrm{i}\right)}{120\,a^3\,{\left(c\,\left(a^2\,x^2+1\right)\right)}^{31/2}}","Not used",1,"(c^2*(a^2*x^2 + 1)^(1/2)*(a*x + 1i)^5*(a*x*5i + 1))/(120*a^3*(c*(a^2*x^2 + 1))^(31/2))","B"