1,0,-1,143,0.000000,"\text{Not used}","int(x^5*(a + b/cos(c + d*x^2)),x)","\int x^5\,\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^5*(a + b/cos(c + d*x^2)), x)","F"
2,0,-1,26,0.000000,"\text{Not used}","int(x^4*(a + b/cos(c + d*x^2)),x)","\int x^4\,\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^4*(a + b/cos(c + d*x^2)), x)","F"
3,0,-1,92,0.000000,"\text{Not used}","int(x^3*(a + b/cos(c + d*x^2)),x)","\int x^3\,\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/cos(c + d*x^2)), x)","F"
4,0,-1,26,0.000000,"\text{Not used}","int(x^2*(a + b/cos(c + d*x^2)),x)","\int x^2\,\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^2*(a + b/cos(c + d*x^2)), x)","F"
5,1,67,26,0.581066,"\text{Not used}","int(x*(a + b/cos(c + d*x^2)),x)","\frac{a\,x^2}{2}+\frac{b\,\ln\left(-b\,x\,2{}\mathrm{i}-2\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{2\,d}-\frac{b\,\ln\left(b\,x\,2{}\mathrm{i}-2\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{2\,d}","Not used",1,"(a*x^2)/2 + (b*log(- b*x*2i - 2*b*x*exp(d*x^2*1i)*exp(c*1i)))/(2*d) - (b*log(b*x*2i - 2*b*x*exp(d*x^2*1i)*exp(c*1i)))/(2*d)","B"
6,0,-1,22,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^2))/x,x)","\int \frac{a+\frac{b}{\cos\left(d\,x^2+c\right)}}{x} \,d x","Not used",0,"int((a + b/cos(c + d*x^2))/x, x)","F"
7,0,-1,24,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\cos\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^2))/x^2, x)","F"
8,0,-1,242,0.000000,"\text{Not used}","int(x^5*(a + b/cos(c + d*x^2))^2,x)","\int x^5\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^5*(a + b/cos(c + d*x^2))^2, x)","F"
9,0,-1,21,0.000000,"\text{Not used}","int(x^4*(a + b/cos(c + d*x^2))^2,x)","\int x^4\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^4*(a + b/cos(c + d*x^2))^2, x)","F"
10,0,-1,133,0.000000,"\text{Not used}","int(x^3*(a + b/cos(c + d*x^2))^2,x)","\int x^3\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/cos(c + d*x^2))^2, x)","F"
11,0,-1,21,0.000000,"\text{Not used}","int(x^2*(a + b/cos(c + d*x^2))^2,x)","\int x^2\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^2*(a + b/cos(c + d*x^2))^2, x)","F"
12,1,100,44,1.497111,"\text{Not used}","int(x*(a + b/cos(c + d*x^2))^2,x)","\frac{a^2\,x^2}{2}+\frac{b^2\,1{}\mathrm{i}}{d\,\left({\mathrm{e}}^{2{}\mathrm{i}\,d\,x^2+c\,2{}\mathrm{i}}+1\right)}+\frac{a\,b\,\ln\left(-a\,b\,x\,4{}\mathrm{i}-4\,a\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{d}-\frac{a\,b\,\ln\left(a\,b\,x\,4{}\mathrm{i}-4\,a\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{d}","Not used",1,"(a^2*x^2)/2 + (b^2*1i)/(d*(exp(c*2i + d*x^2*2i) + 1)) + (a*b*log(- a*b*x*4i - 4*a*b*x*exp(d*x^2*1i)*exp(c*1i)))/d - (a*b*log(a*b*x*4i - 4*a*b*x*exp(d*x^2*1i)*exp(c*1i)))/d","B"
13,0,-1,21,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^2))^2/x,x)","\int \frac{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/cos(c + d*x^2))^2/x, x)","F"
14,0,-1,21,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^2))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^2))^2/x^2, x)","F"
15,1,496,90,12.531001,"\text{Not used}","int(x/cos(a + b*x^2)^7,x)","\frac{5\,\ln\left(-\frac{x\,5{}\mathrm{i}}{8}-\frac{5\,x\,{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x^2\,1{}\mathrm{i}}}{8}\right)}{32\,b}-\frac{5\,\ln\left(\frac{x\,5{}\mathrm{i}}{8}-\frac{5\,x\,{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x^2\,1{}\mathrm{i}}}{8}\right)}{32\,b}+\frac{{\mathrm{e}}^{3{}\mathrm{i}\,b\,x^2+a\,3{}\mathrm{i}}\,8{}\mathrm{i}}{3\,b\,\left(5\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+10\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+10\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+5\,{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}+{\mathrm{e}}^{10{}\mathrm{i}\,b\,x^2+a\,10{}\mathrm{i}}+1\right)}-\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}\,1{}\mathrm{i}}{6\,b\,\left(3\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+3\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+1\right)}-\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}\,5{}\mathrm{i}}{16\,b\,\left({\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+1\right)}+\frac{{\mathrm{e}}^{5{}\mathrm{i}\,b\,x^2+a\,5{}\mathrm{i}}\,16{}\mathrm{i}}{3\,b\,\left(6\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+15\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+20\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+15\,{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}+6\,{\mathrm{e}}^{10{}\mathrm{i}\,b\,x^2+a\,10{}\mathrm{i}}+{\mathrm{e}}^{12{}\mathrm{i}\,b\,x^2+a\,12{}\mathrm{i}}+1\right)}+\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}\,1{}\mathrm{i}}{b\,\left(4\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+6\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+4\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}+1\right)}-\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}\,5{}\mathrm{i}}{24\,b\,\left(2\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}+{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+1\right)}","Not used",1,"(5*log(- (x*5i)/8 - (5*x*exp(a*1i)*exp(b*x^2*1i))/8))/(32*b) - (5*log((x*5i)/8 - (5*x*exp(a*1i)*exp(b*x^2*1i))/8))/(32*b) + (exp(a*3i + b*x^2*3i)*8i)/(3*b*(5*exp(a*2i + b*x^2*2i) + 10*exp(a*4i + b*x^2*4i) + 10*exp(a*6i + b*x^2*6i) + 5*exp(a*8i + b*x^2*8i) + exp(a*10i + b*x^2*10i) + 1)) - (exp(a*1i + b*x^2*1i)*1i)/(6*b*(3*exp(a*2i + b*x^2*2i) + 3*exp(a*4i + b*x^2*4i) + exp(a*6i + b*x^2*6i) + 1)) - (exp(a*1i + b*x^2*1i)*5i)/(16*b*(exp(a*2i + b*x^2*2i) + 1)) + (exp(a*5i + b*x^2*5i)*16i)/(3*b*(6*exp(a*2i + b*x^2*2i) + 15*exp(a*4i + b*x^2*4i) + 20*exp(a*6i + b*x^2*6i) + 15*exp(a*8i + b*x^2*8i) + 6*exp(a*10i + b*x^2*10i) + exp(a*12i + b*x^2*12i) + 1)) + (exp(a*1i + b*x^2*1i)*1i)/(b*(4*exp(a*2i + b*x^2*2i) + 6*exp(a*4i + b*x^2*4i) + 4*exp(a*6i + b*x^2*6i) + exp(a*8i + b*x^2*8i) + 1)) - (exp(a*1i + b*x^2*1i)*5i)/(24*b*(2*exp(a*2i + b*x^2*2i) + exp(a*4i + b*x^2*4i) + 1))","B"
16,0,-1,382,0.000000,"\text{Not used}","int(x^5/(a + b/cos(c + d*x^2)),x)","\int \frac{x^5}{a+\frac{b}{\cos\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^5/(a + b/cos(c + d*x^2)), x)","F"
17,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/cos(c + d*x^2)),x)","\int \frac{x^4}{a+\frac{b}{\cos\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^4/(a + b/cos(c + d*x^2)), x)","F"
18,0,-1,261,0.000000,"\text{Not used}","int(x^3/(a + b/cos(c + d*x^2)),x)","\int \frac{x^3}{a+\frac{b}{\cos\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^3/(a + b/cos(c + d*x^2)), x)","F"
19,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/cos(c + d*x^2)),x)","\int \frac{x^2}{a+\frac{b}{\cos\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^2/(a + b/cos(c + d*x^2)), x)","F"
20,1,157,66,2.239073,"\text{Not used}","int(x/(a + b/cos(c + d*x^2)),x)","\frac{x^2}{2\,a}+\frac{b\,\ln\left(2\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}-\frac{b\,x\,\left(a+b\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{2\,a\,d\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{b\,\ln\left(2\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}+\frac{b\,x\,\left(a+b\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{2\,a\,d\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"x^2/(2*a) + (b*log(2*b*x*exp(d*x^2*1i)*exp(c*1i) - (b*x*(a + b*exp(d*x^2*1i)*exp(c*1i))*2i)/((a + b)^(1/2)*(a - b)^(1/2))))/(2*a*d*(a + b)^(1/2)*(a - b)^(1/2)) - (b*log(2*b*x*exp(d*x^2*1i)*exp(c*1i) + (b*x*(a + b*exp(d*x^2*1i)*exp(c*1i))*2i)/((a + b)^(1/2)*(a - b)^(1/2))))/(2*a*d*(a + b)^(1/2)*(a - b)^(1/2))","B"
21,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/cos(c + d*x^2))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/cos(c + d*x^2))), x)","F"
22,0,-1,24,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\cos\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^2))/x^2, x)","F"
23,0,-1,1092,0.000000,"\text{Not used}","int(x^5/(a + b/cos(c + d*x^2))^2,x)","\int \frac{x^5}{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^5/(a + b/cos(c + d*x^2))^2, x)","F"
24,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/cos(c + d*x^2))^2,x)","\int \frac{x^4}{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^4/(a + b/cos(c + d*x^2))^2, x)","F"
25,0,-1,596,0.000000,"\text{Not used}","int(x^3/(a + b/cos(c + d*x^2))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/cos(c + d*x^2))^2, x)","F"
26,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/cos(c + d*x^2))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^2/(a + b/cos(c + d*x^2))^2, x)","F"
27,1,340,123,5.013337,"\text{Not used}","int(x/(a + b/cos(c + d*x^2))^2,x)","\frac{\frac{b^2}{d\,\left(a\,b^2\,1{}\mathrm{i}-a^3\,1{}\mathrm{i}\right)}+\frac{b^3\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}}{a\,d\,\left(a\,b^2\,1{}\mathrm{i}-a^3\,1{}\mathrm{i}\right)}}{a+a\,{\mathrm{e}}^{2{}\mathrm{i}\,d\,x^2+c\,2{}\mathrm{i}}+2\,b\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}}+\frac{x^2}{2\,a^2}+\frac{b\,\ln\left(2\,b\,x\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}\,\left(2\,a^2-b^2\right)-\frac{b\,x\,\left(a^2-b^2\right)\,\left(2\,a^2-b^2\right)\,\left(a+b\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(2\,a^2-b^2\right)}{2\,a^2\,d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{b\,\ln\left(2\,b\,x\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}\,\left(2\,a^2-b^2\right)+\frac{b\,x\,\left(a^2-b^2\right)\,\left(2\,a^2-b^2\right)\,\left(a+b\,{\mathrm{e}}^{1{}\mathrm{i}\,d\,x^2+c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(2\,a^2-b^2\right)}{2\,a^2\,d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"(b^2/(d*(a*b^2*1i - a^3*1i)) + (b^3*exp(c*1i + d*x^2*1i))/(a*d*(a*b^2*1i - a^3*1i)))/(a + a*exp(c*2i + d*x^2*2i) + 2*b*exp(c*1i + d*x^2*1i)) + x^2/(2*a^2) + (b*log(2*b*x*exp(c*1i + d*x^2*1i)*(2*a^2 - b^2) - (b*x*(a^2 - b^2)*(2*a^2 - b^2)*(a + b*exp(c*1i + d*x^2*1i))*2i)/((a + b)^(3/2)*(a - b)^(3/2)))*(2*a^2 - b^2))/(2*a^2*d*(a + b)^(3/2)*(a - b)^(3/2)) - (b*log(2*b*x*exp(c*1i + d*x^2*1i)*(2*a^2 - b^2) + (b*x*(a^2 - b^2)*(2*a^2 - b^2)*(a + b*exp(c*1i + d*x^2*1i))*2i)/((a + b)^(3/2)*(a - b)^(3/2)))*(2*a^2 - b^2))/(2*a^2*d*(a + b)^(3/2)*(a - b)^(3/2))","B"
28,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/cos(c + d*x^2))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/cos(c + d*x^2))^2), x)","F"
29,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*(a + b/cos(c + d*x^2))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/cos(c + d*x^2))^2), x)","F"
30,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*(a + b/cos(c + d*x^2))^2),x)","\int \frac{1}{x^3\,{\left(a+\frac{b}{\cos\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^3*(a + b/cos(c + d*x^2))^2), x)","F"
31,0,-1,476,0.000000,"\text{Not used}","int(x^3*(a + b/cos(c + d*x^(1/2))),x)","\int x^3\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/cos(c + d*x^(1/2))), x)","F"
32,0,-1,348,0.000000,"\text{Not used}","int(x^2*(a + b/cos(c + d*x^(1/2))),x)","\int x^2\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^2*(a + b/cos(c + d*x^(1/2))), x)","F"
33,0,-1,220,0.000000,"\text{Not used}","int(x*(a + b/cos(c + d*x^(1/2))),x)","\int x\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x*(a + b/cos(c + d*x^(1/2))), x)","F"
34,0,-1,24,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x,x)","\int \frac{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}}{x} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))/x, x)","F"
35,0,-1,26,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))/x^2, x)","F"
36,0,-1,749,0.000000,"\text{Not used}","int(x^3*(a + b/cos(c + d*x^(1/2)))^2,x)","\int x^3\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/cos(c + d*x^(1/2)))^2, x)","F"
37,0,-1,551,0.000000,"\text{Not used}","int(x^2*(a + b/cos(c + d*x^(1/2)))^2,x)","\int x^2\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^2*(a + b/cos(c + d*x^(1/2)))^2, x)","F"
38,0,-1,355,0.000000,"\text{Not used}","int(x*(a + b/cos(c + d*x^(1/2)))^2,x)","\int x\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x*(a + b/cos(c + d*x^(1/2)))^2, x)","F"
39,0,-1,23,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))^2/x,x)","\int \frac{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))^2/x, x)","F"
40,0,-1,23,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))^2/x^2, x)","F"
41,0,-1,1041,0.000000,"\text{Not used}","int(x^3/(a + b/cos(c + d*x^(1/2))),x)","\int \frac{x^3}{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^3/(a + b/cos(c + d*x^(1/2))), x)","F"
42,0,-1,781,0.000000,"\text{Not used}","int(x^2/(a + b/cos(c + d*x^(1/2))),x)","\int \frac{x^2}{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^2/(a + b/cos(c + d*x^(1/2))), x)","F"
43,0,-1,521,0.000000,"\text{Not used}","int(x/(a + b/cos(c + d*x^(1/2))),x)","\int \frac{x}{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x/(a + b/cos(c + d*x^(1/2))), x)","F"
44,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/cos(c + d*x^(1/2)))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/cos(c + d*x^(1/2)))), x)","F"
45,0,-1,26,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))/x^2, x)","F"
46,0,-1,3123,0.000000,"\text{Not used}","int(x^3/(a + b/cos(c + d*x^(1/2)))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/cos(c + d*x^(1/2)))^2, x)","F"
47,0,-1,2323,0.000000,"\text{Not used}","int(x^2/(a + b/cos(c + d*x^(1/2)))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^2/(a + b/cos(c + d*x^(1/2)))^2, x)","F"
48,0,-1,1523,0.000000,"\text{Not used}","int(x/(a + b/cos(c + d*x^(1/2)))^2,x)","\int \frac{x}{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x/(a + b/cos(c + d*x^(1/2)))^2, x)","F"
49,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/cos(c + d*x^(1/2)))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/cos(c + d*x^(1/2)))^2), x)","F"
50,0,-1,23,0.000000,"\text{Not used}","int(1/(x^2*(a + b/cos(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/cos(c + d*x^(1/2)))^2), x)","F"
51,0,-1,284,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/cos(c + d*x^(1/2))),x)","\int x^{3/2}\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(3/2)*(a + b/cos(c + d*x^(1/2))), x)","F"
52,0,-1,158,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/cos(c + d*x^(1/2))),x)","\int \sqrt{x}\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(1/2)*(a + b/cos(c + d*x^(1/2))), x)","F"
53,1,71,26,2.943453,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x^(1/2),x)","2\,a\,\sqrt{x}-\frac{2\,b\,\ln\left(\frac{b\,2{}\mathrm{i}-2\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}}{\sqrt{x}}\right)}{d}+\frac{2\,b\,\ln\left(\frac{b\,2{}\mathrm{i}+2\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}}{\sqrt{x}}\right)}{d}","Not used",1,"2*a*x^(1/2) - (2*b*log((b*2i - 2*b*exp(d*x^(1/2)*1i)*exp(c*1i))/x^(1/2)))/d + (2*b*log((b*2i + 2*b*exp(d*x^(1/2)*1i)*exp(c*1i))/x^(1/2)))/d","B"
54,0,-1,30,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x^(3/2),x)","\int \frac{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}}{x^{3/2}} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))/x^(3/2), x)","F"
55,0,-1,32,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))/x^(5/2),x)","\int \frac{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}}{x^{5/2}} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))/x^(5/2), x)","F"
56,0,-1,451,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/cos(c + d*x^(1/2)))^2,x)","\int x^{3/2}\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(3/2)*(a + b/cos(c + d*x^(1/2)))^2, x)","F"
57,0,-1,255,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/cos(c + d*x^(1/2)))^2,x)","\int \sqrt{x}\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(1/2)*(a + b/cos(c + d*x^(1/2)))^2, x)","F"
58,1,109,47,2.682685,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))^2/x^(1/2),x)","2\,a^2\,\sqrt{x}+\frac{b^2\,4{}\mathrm{i}}{d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,\sqrt{x}\,2{}\mathrm{i}}+1\right)}+\frac{4\,a\,b\,\ln\left(-\frac{a\,b\,4{}\mathrm{i}}{\sqrt{x}}-\frac{4\,a\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}}{\sqrt{x}}\right)}{d}-\frac{4\,a\,b\,\ln\left(\frac{a\,b\,4{}\mathrm{i}}{\sqrt{x}}-\frac{4\,a\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}}{\sqrt{x}}\right)}{d}","Not used",1,"2*a^2*x^(1/2) + (b^2*4i)/(d*(exp(c*2i + d*x^(1/2)*2i) + 1)) + (4*a*b*log(- (a*b*4i)/x^(1/2) - (4*a*b*exp(d*x^(1/2)*1i)*exp(c*1i))/x^(1/2)))/d - (4*a*b*log((a*b*4i)/x^(1/2) - (4*a*b*exp(d*x^(1/2)*1i)*exp(c*1i))/x^(1/2)))/d","B"
59,0,-1,25,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))^2/x^(3/2),x)","\int \frac{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{3/2}} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))^2/x^(3/2), x)","F"
60,0,-1,25,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^(1/2)))^2/x^(5/2),x)","\int \frac{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{5/2}} \,d x","Not used",0,"int((a + b/cos(c + d*x^(1/2)))^2/x^(5/2), x)","F"
61,0,-1,653,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/cos(c + d*x^(1/2))),x)","\int \frac{x^{3/2}}{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(3/2)/(a + b/cos(c + d*x^(1/2))), x)","F"
62,0,-1,393,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/cos(c + d*x^(1/2))),x)","\int \frac{\sqrt{x}}{a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(1/2)/(a + b/cos(c + d*x^(1/2))), x)","F"
63,1,153,68,2.746211,"\text{Not used}","int(1/(x^(1/2)*(a + b/cos(c + d*x^(1/2)))),x)","\frac{2\,\sqrt{x}}{a}+\frac{2\,b\,\ln\left(2\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}-\frac{b\,\left(a+b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{a\,d\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{2\,b\,\ln\left(2\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}+\frac{b\,\left(a+b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{a\,d\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"(2*x^(1/2))/a + (2*b*log(2*b*exp(d*x^(1/2)*1i)*exp(c*1i) - (b*(a + b*exp(d*x^(1/2)*1i)*exp(c*1i))*2i)/((a + b)^(1/2)*(a - b)^(1/2))))/(a*d*(a + b)^(1/2)*(a - b)^(1/2)) - (2*b*log(2*b*exp(d*x^(1/2)*1i)*exp(c*1i) + (b*(a + b*exp(d*x^(1/2)*1i)*exp(c*1i))*2i)/((a + b)^(1/2)*(a - b)^(1/2))))/(a*d*(a + b)^(1/2)*(a - b)^(1/2))","B"
64,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/cos(c + d*x^(1/2)))),x)","\int \frac{1}{x^{3/2}\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/cos(c + d*x^(1/2)))), x)","F"
65,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/cos(c + d*x^(1/2)))),x)","\int \frac{1}{x^{5/2}\,\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/cos(c + d*x^(1/2)))), x)","F"
66,0,-1,1925,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/cos(c + d*x^(1/2)))^2,x)","\int \frac{x^{3/2}}{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(3/2)/(a + b/cos(c + d*x^(1/2)))^2, x)","F"
67,0,-1,1125,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/cos(c + d*x^(1/2)))^2,x)","\int \frac{\sqrt{x}}{{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(1/2)/(a + b/cos(c + d*x^(1/2)))^2, x)","F"
68,1,330,127,5.251255,"\text{Not used}","int(1/(x^(1/2)*(a + b/cos(c + d*x^(1/2)))^2),x)","\frac{\frac{b^2\,4{}\mathrm{i}}{a\,d\,\left(a^2-b^2\right)}+\frac{b^3\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a^2\,d\,\left(a^2-b^2\right)}}{a+a\,{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,\sqrt{x}\,2{}\mathrm{i}}+2\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}}+\frac{2\,\sqrt{x}}{a^2}+\frac{\ln\left({\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}\,\left(4\,a^2\,b-2\,b^3\right)-\frac{\left(4\,a^2\,b-2\,b^3\right)\,\left(a^2-b^2\right)\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}\right)\,1{}\mathrm{i}}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(4\,a^2\,b-2\,b^3\right)}{a^2\,d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{2\,b\,\ln\left({\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}\,\left(4\,a^2\,b-2\,b^3\right)+\frac{b\,\left(a^2-b^2\right)\,\left(2\,a^2-b^2\right)\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,\sqrt{x}\,1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(2\,a^2-b^2\right)}{a^2\,d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"((b^2*4i)/(a*d*(a^2 - b^2)) + (b^3*exp(c*1i + d*x^(1/2)*1i)*4i)/(a^2*d*(a^2 - b^2)))/(a + a*exp(c*2i + d*x^(1/2)*2i) + 2*b*exp(c*1i + d*x^(1/2)*1i)) + (2*x^(1/2))/a^2 + (log(exp(c*1i + d*x^(1/2)*1i)*(4*a^2*b - 2*b^3) - ((4*a^2*b - 2*b^3)*(a^2 - b^2)*(a + b*exp(c*1i + d*x^(1/2)*1i))*1i)/((a + b)^(3/2)*(a - b)^(3/2)))*(4*a^2*b - 2*b^3))/(a^2*d*(a + b)^(3/2)*(a - b)^(3/2)) - (2*b*log(exp(c*1i + d*x^(1/2)*1i)*(4*a^2*b - 2*b^3) + (b*(a^2 - b^2)*(2*a^2 - b^2)*(a + b*exp(c*1i + d*x^(1/2)*1i))*2i)/((a + b)^(3/2)*(a - b)^(3/2)))*(2*a^2 - b^2))/(a^2*d*(a + b)^(3/2)*(a - b)^(3/2))","B"
69,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/cos(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{3/2}\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/cos(c + d*x^(1/2)))^2), x)","F"
70,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/cos(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{5/2}\,{\left(a+\frac{b}{\cos\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/cos(c + d*x^(1/2)))^2), x)","F"
71,0,-1,32,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^n))^p*(e*x)^m,x)","\int {\left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)}^p\,{\left(e\,x\right)}^m \,d x","Not used",0,"int((a + b/cos(c + d*x^n))^p*(e*x)^m, x)","F"
72,1,104,44,2.655640,"\text{Not used}","int((a + b/cos(c + d*x^n))*(e*x)^(n - 1),x)","\frac{{\left(e\,x\right)}^n\,\left(b\,\ln\left(-b\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}-2\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\right)-b\,\ln\left(b\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}-2\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\right)+a\,d\,x^n\right)}{d\,e\,n\,x^n}","Not used",1,"((e*x)^n*(b*log(- b*(e*x)^(n - 1)*2i - 2*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)) - b*log(b*(e*x)^(n - 1)*2i - 2*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)) + a*d*x^n))/(d*e*n*x^n)","B"
73,0,-1,149,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^n))*(e*x)^(2*n - 1),x)","\int \left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/cos(c + d*x^n))*(e*x)^(2*n - 1), x)","F"
74,0,-1,235,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^n))*(e*x)^(3*n - 1),x)","\int \left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/cos(c + d*x^n))*(e*x)^(3*n - 1), x)","F"
75,1,180,79,2.710029,"\text{Not used}","int((a + b/cos(c + d*x^n))^2*(e*x)^(n - 1),x)","\frac{a^2\,x\,{\left(e\,x\right)}^{n-1}}{n}+\frac{b^2\,x\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{d\,n\,x^n\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x^n\,2{}\mathrm{i}}+1\right)}+\frac{2\,a\,b\,x\,\ln\left(-a\,b\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}-4\,a\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\right)\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n}-\frac{2\,a\,b\,x\,\ln\left(a\,b\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}-4\,a\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\right)\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n}","Not used",1,"(a^2*x*(e*x)^(n - 1))/n + (b^2*x*(e*x)^(n - 1)*2i)/(d*n*x^n*(exp(c*2i + d*x^n*2i) + 1)) + (2*a*b*x*log(- a*b*(e*x)^(n - 1)*4i - 4*a*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1))*(e*x)^(n - 1))/(d*n*x^n) - (2*a*b*x*log(a*b*(e*x)^(n - 1)*4i - 4*a*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1))*(e*x)^(n - 1))/(d*n*x^n)","B"
76,0,-1,221,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^n))^2*(e*x)^(2*n - 1),x)","\int {\left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/cos(c + d*x^n))^2*(e*x)^(2*n - 1), x)","F"
77,0,-1,390,0.000000,"\text{Not used}","int((a + b/cos(c + d*x^n))^2*(e*x)^(3*n - 1),x)","\int {\left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/cos(c + d*x^n))^2*(e*x)^(3*n - 1), x)","F"
78,1,223,87,2.752773,"\text{Not used}","int((e*x)^(n - 1)/(a + b/cos(c + d*x^n)),x)","\frac{x\,{\left(e\,x\right)}^{n-1}}{a\,n}+\frac{b\,x\,\ln\left(2\,b\,x\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}-\frac{b\,x\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)\,{\left(e\,x\right)}^{n-1}}{a\,d\,n\,x^n\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{b\,x\,\ln\left(2\,b\,x\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}+\frac{b\,x\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{\sqrt{a+b}\,\sqrt{a-b}}\right)\,{\left(e\,x\right)}^{n-1}}{a\,d\,n\,x^n\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"(x*(e*x)^(n - 1))/(a*n) + (b*x*log(2*b*x*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1) - (b*x*(a + b*exp(c*1i)*exp(d*x^n*1i))*(e*x)^(n - 1)*2i)/((a + b)^(1/2)*(a - b)^(1/2)))*(e*x)^(n - 1))/(a*d*n*x^n*(a + b)^(1/2)*(a - b)^(1/2)) - (b*x*log(2*b*x*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1) + (b*x*(a + b*exp(c*1i)*exp(d*x^n*1i))*(e*x)^(n - 1)*2i)/((a + b)^(1/2)*(a - b)^(1/2)))*(e*x)^(n - 1))/(a*d*n*x^n*(a + b)^(1/2)*(a - b)^(1/2))","B"
79,0,-1,328,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/cos(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{a+\frac{b}{\cos\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/cos(c + d*x^n)), x)","F"
80,0,-1,485,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/cos(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{a+\frac{b}{\cos\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/cos(c + d*x^n)), x)","F"
81,1,461,157,5.331336,"\text{Not used}","int((e*x)^(n - 1)/(a + b/cos(c + d*x^n))^2,x)","\frac{\frac{b^2\,x\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{a\,d\,n\,x^n\,\left(a^2-b^2\right)}+\frac{b^3\,x\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{a^2\,d\,n\,x^n\,\left(a^2-b^2\right)}}{a+a\,{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x^n\,2{}\mathrm{i}}+2\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,x^n\,1{}\mathrm{i}}}+\frac{x\,{\left(e\,x\right)}^{n-1}}{a^2\,n}+\frac{b\,x\,\ln\left(-2\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,\left(b^3\,x\,{\left(e\,x\right)}^{n-1}-2\,a^2\,b\,x\,{\left(e\,x\right)}^{n-1}\right)-\frac{b\,x\,\left(a^4-a^2\,b^2\right)\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)\,{\left(e\,x\right)}^{n-1}\,\left(2\,a^2-b^2\right)\,2{}\mathrm{i}}{a^2\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,{\left(e\,x\right)}^{n-1}\,\left(2\,a^2-b^2\right)}{a^2\,d\,n\,x^n\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{b\,x\,\ln\left(-2\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,\left(b^3\,x\,{\left(e\,x\right)}^{n-1}-2\,a^2\,b\,x\,{\left(e\,x\right)}^{n-1}\right)+\frac{b\,x\,\left(a^4-a^2\,b^2\right)\,\left(a+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)\,{\left(e\,x\right)}^{n-1}\,\left(2\,a^2-b^2\right)\,2{}\mathrm{i}}{a^2\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,{\left(e\,x\right)}^{n-1}\,\left(2\,a^2-b^2\right)}{a^2\,d\,n\,x^n\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"((b^2*x*(e*x)^(n - 1)*2i)/(a*d*n*x^n*(a^2 - b^2)) + (b^3*x*exp(c*1i + d*x^n*1i)*(e*x)^(n - 1)*2i)/(a^2*d*n*x^n*(a^2 - b^2)))/(a + a*exp(c*2i + d*x^n*2i) + 2*b*exp(c*1i + d*x^n*1i)) + (x*(e*x)^(n - 1))/(a^2*n) + (b*x*log(- 2*exp(c*1i)*exp(d*x^n*1i)*(b^3*x*(e*x)^(n - 1) - 2*a^2*b*x*(e*x)^(n - 1)) - (b*x*(a^4 - a^2*b^2)*(a + b*exp(c*1i)*exp(d*x^n*1i))*(e*x)^(n - 1)*(2*a^2 - b^2)*2i)/(a^2*(a + b)^(3/2)*(a - b)^(3/2)))*(e*x)^(n - 1)*(2*a^2 - b^2))/(a^2*d*n*x^n*(a + b)^(3/2)*(a - b)^(3/2)) - (b*x*log((b*x*(a^4 - a^2*b^2)*(a + b*exp(c*1i)*exp(d*x^n*1i))*(e*x)^(n - 1)*(2*a^2 - b^2)*2i)/(a^2*(a + b)^(3/2)*(a - b)^(3/2)) - 2*exp(c*1i)*exp(d*x^n*1i)*(b^3*x*(e*x)^(n - 1) - 2*a^2*b*x*(e*x)^(n - 1)))*(e*x)^(n - 1)*(2*a^2 - b^2))/(a^2*d*n*x^n*(a + b)^(3/2)*(a - b)^(3/2))","B"
82,0,-1,757,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/cos(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{{\left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/cos(c + d*x^n))^2, x)","F"
83,0,-1,1384,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/cos(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{{\left(a+\frac{b}{\cos\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/cos(c + d*x^n))^2, x)","F"