1,1,83,0,11.219603," ","integrate(sec(d*x+c)**10*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{9}{\left(c + d x \right)}}{9} + \frac{4 \tan^{7}{\left(c + d x \right)}}{7} + \frac{6 \tan^{5}{\left(c + d x \right)}}{5} + \frac{4 \tan^{3}{\left(c + d x \right)}}{3} + \tan{\left(c + d x \right)}\right) + \frac{i a \sec^{10}{\left(c + d x \right)}}{10}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec^{10}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**9/9 + 4*tan(c + d*x)**7/7 + 6*tan(c + d*x)**5/5 + 4*tan(c + d*x)**3/3 + tan(c + d*x)) + I*a*sec(c + d*x)**10/10)/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c)**10, True))","A",0
2,1,68,0,7.057229," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{7}{\left(c + d x \right)}}{7} + \frac{3 \tan^{5}{\left(c + d x \right)}}{5} + \tan^{3}{\left(c + d x \right)} + \tan{\left(c + d x \right)}\right) + \frac{i a \sec^{8}{\left(c + d x \right)}}{8}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec^{8}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**7/7 + 3*tan(c + d*x)**5/5 + tan(c + d*x)**3 + tan(c + d*x)) + I*a*sec(c + d*x)**8/8)/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c)**8, True))","A",0
3,1,60,0,4.614833," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{5}{\left(c + d x \right)}}{5} + \frac{2 \tan^{3}{\left(c + d x \right)}}{3} + \tan{\left(c + d x \right)}\right) + \frac{i a \sec^{6}{\left(c + d x \right)}}{6}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec^{6}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**5/5 + 2*tan(c + d*x)**3/3 + tan(c + d*x)) + I*a*sec(c + d*x)**6/6)/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c)**6, True))","A",0
4,1,48,0,3.292128," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{3}{\left(c + d x \right)}}{3} + \tan{\left(c + d x \right)}\right) + \frac{i a \sec^{4}{\left(c + d x \right)}}{4}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec^{4}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**3/3 + tan(c + d*x)) + I*a*sec(c + d*x)**4/4)/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c)**4, True))","A",0
5,1,37,0,2.359555," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{\frac{i a \tan^{2}{\left(c + d x \right)}}{2} + a \tan{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec^{2}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((I*a*tan(c + d*x)**2/2 + a*tan(c + d*x))/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c)**2, True))","A",0
6,1,24,0,0.159696," ","integrate(a+I*a*tan(d*x+c),x)","- \frac{i a \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d}"," ",0,"-I*a*log(exp(2*I*d*x) + exp(-2*I*c))/d","A",0
7,1,41,0,0.159615," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c)),x)","\frac{a x}{2} + \begin{cases} - \frac{i a e^{2 i c} e^{2 i d x}}{4 d} & \text{for}\: 4 d \neq 0 \\\frac{a x e^{2 i c}}{2} & \text{otherwise} \end{cases}"," ",0,"a*x/2 + Piecewise((-I*a*exp(2*I*c)*exp(2*I*d*x)/(4*d), Ne(4*d, 0)), (a*x*exp(2*I*c)/2, True))","A",0
8,1,139,0,0.290081," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c)),x)","\frac{3 a x}{8} + \begin{cases} - \frac{\left(256 i a d^{2} e^{6 i c} e^{4 i d x} + 1536 i a d^{2} e^{4 i c} e^{2 i d x} - 512 i a d^{2} e^{- 2 i d x}\right) e^{- 2 i c}}{8192 d^{3}} & \text{for}\: 8192 d^{3} e^{2 i c} \neq 0 \\x \left(- \frac{3 a}{8} + \frac{\left(a e^{6 i c} + 3 a e^{4 i c} + 3 a e^{2 i c} + a\right) e^{- 2 i c}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"3*a*x/8 + Piecewise((-(256*I*a*d**2*exp(6*I*c)*exp(4*I*d*x) + 1536*I*a*d**2*exp(4*I*c)*exp(2*I*d*x) - 512*I*a*d**2*exp(-2*I*d*x))*exp(-2*I*c)/(8192*d**3), Ne(8192*d**3*exp(2*I*c), 0)), (x*(-3*a/8 + (a*exp(6*I*c) + 3*a*exp(4*I*c) + 3*a*exp(2*I*c) + a)*exp(-2*I*c)/8), True))","A",0
9,1,214,0,0.409755," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c)),x)","\frac{5 a x}{16} + \begin{cases} - \frac{\left(33554432 i a d^{4} e^{12 i c} e^{6 i d x} + 251658240 i a d^{4} e^{10 i c} e^{4 i d x} + 1006632960 i a d^{4} e^{8 i c} e^{2 i d x} - 503316480 i a d^{4} e^{4 i c} e^{- 2 i d x} - 50331648 i a d^{4} e^{2 i c} e^{- 4 i d x}\right) e^{- 6 i c}}{6442450944 d^{5}} & \text{for}\: 6442450944 d^{5} e^{6 i c} \neq 0 \\x \left(- \frac{5 a}{16} + \frac{\left(a e^{10 i c} + 5 a e^{8 i c} + 10 a e^{6 i c} + 10 a e^{4 i c} + 5 a e^{2 i c} + a\right) e^{- 4 i c}}{32}\right) & \text{otherwise} \end{cases}"," ",0,"5*a*x/16 + Piecewise((-(33554432*I*a*d**4*exp(12*I*c)*exp(6*I*d*x) + 251658240*I*a*d**4*exp(10*I*c)*exp(4*I*d*x) + 1006632960*I*a*d**4*exp(8*I*c)*exp(2*I*d*x) - 503316480*I*a*d**4*exp(4*I*c)*exp(-2*I*d*x) - 50331648*I*a*d**4*exp(2*I*c)*exp(-4*I*d*x))*exp(-6*I*c)/(6442450944*d**5), Ne(6442450944*d**5*exp(6*I*c), 0)), (x*(-5*a/16 + (a*exp(10*I*c) + 5*a*exp(8*I*c) + 10*a*exp(6*I*c) + 10*a*exp(4*I*c) + 5*a*exp(2*I*c) + a)*exp(-4*I*c)/32), True))","A",0
10,1,282,0,0.530986," ","integrate(cos(d*x+c)**8*(a+I*a*tan(d*x+c)),x)","\frac{35 a x}{128} + \begin{cases} - \frac{\left(10133099161583616 i a d^{6} e^{20 i c} e^{8 i d x} + 94575592174780416 i a d^{6} e^{18 i c} e^{6 i d x} + 425590164786511872 i a d^{6} e^{16 i c} e^{4 i d x} + 1418633882621706240 i a d^{6} e^{14 i c} e^{2 i d x} - 851180329573023744 i a d^{6} e^{10 i c} e^{- 2 i d x} - 141863388262170624 i a d^{6} e^{8 i c} e^{- 4 i d x} - 13510798882111488 i a d^{6} e^{6 i c} e^{- 6 i d x}\right) e^{- 12 i c}}{10376293541461622784 d^{7}} & \text{for}\: 10376293541461622784 d^{7} e^{12 i c} \neq 0 \\x \left(- \frac{35 a}{128} + \frac{\left(a e^{14 i c} + 7 a e^{12 i c} + 21 a e^{10 i c} + 35 a e^{8 i c} + 35 a e^{6 i c} + 21 a e^{4 i c} + 7 a e^{2 i c} + a\right) e^{- 6 i c}}{128}\right) & \text{otherwise} \end{cases}"," ",0,"35*a*x/128 + Piecewise((-(10133099161583616*I*a*d**6*exp(20*I*c)*exp(8*I*d*x) + 94575592174780416*I*a*d**6*exp(18*I*c)*exp(6*I*d*x) + 425590164786511872*I*a*d**6*exp(16*I*c)*exp(4*I*d*x) + 1418633882621706240*I*a*d**6*exp(14*I*c)*exp(2*I*d*x) - 851180329573023744*I*a*d**6*exp(10*I*c)*exp(-2*I*d*x) - 141863388262170624*I*a*d**6*exp(8*I*c)*exp(-4*I*d*x) - 13510798882111488*I*a*d**6*exp(6*I*c)*exp(-6*I*d*x))*exp(-12*I*c)/(10376293541461622784*d**7), Ne(10376293541461622784*d**7*exp(12*I*c), 0)), (x*(-35*a/128 + (a*exp(14*I*c) + 7*a*exp(12*I*c) + 21*a*exp(10*I*c) + 35*a*exp(8*I*c) + 35*a*exp(6*I*c) + 21*a*exp(4*I*c) + 7*a*exp(2*I*c) + a)*exp(-6*I*c)/128), True))","A",0
11,0,0,0,0.000000," ","integrate(sec(d*x+c)**7*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \sec^{7}{\left(c + d x \right)}\right)\, dx + \int \tan{\left(c + d x \right)} \sec^{7}{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*sec(c + d*x)**7, x) + Integral(tan(c + d*x)*sec(c + d*x)**7, x))","F",0
12,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \sec^{5}{\left(c + d x \right)}\right)\, dx + \int \tan{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*sec(c + d*x)**5, x) + Integral(tan(c + d*x)*sec(c + d*x)**5, x))","F",0
13,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \sec^{3}{\left(c + d x \right)}\right)\, dx + \int \tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*sec(c + d*x)**3, x) + Integral(tan(c + d*x)*sec(c + d*x)**3, x))","F",0
14,1,41,0,4.539721," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{a \log{\left(\tan{\left(c + d x \right)} + \sec{\left(c + d x \right)} \right)} + i a \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(i a \tan{\left(c \right)} + a\right) \sec{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*log(tan(c + d*x) + sec(c + d*x)) + I*a*sec(c + d*x))/d, Ne(d, 0)), (x*(I*a*tan(c) + a)*sec(c), True))","A",0
15,1,26,0,0.140072," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{i a e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\a x e^{i c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*a*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (a*x*exp(I*c), True))","A",0
16,1,109,0,0.301414," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(8 i a d^{2} e^{4 i c} e^{3 i d x} + 48 i a d^{2} e^{2 i c} e^{i d x} - 24 i a d^{2} e^{- i d x}\right) e^{- i c}}{96 d^{3}} & \text{for}\: 96 d^{3} e^{i c} \neq 0 \\\frac{x \left(a e^{4 i c} + 2 a e^{2 i c} + a\right) e^{- i c}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(8*I*a*d**2*exp(4*I*c)*exp(3*I*d*x) + 48*I*a*d**2*exp(2*I*c)*exp(I*d*x) - 24*I*a*d**2*exp(-I*d*x))*exp(-I*c)/(96*d**3), Ne(96*d**3*exp(I*c), 0)), (x*(a*exp(4*I*c) + 2*a*exp(2*I*c) + a)*exp(-I*c)/4, True))","A",0
17,1,187,0,0.443568," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(18432 i a d^{4} e^{9 i c} e^{5 i d x} + 122880 i a d^{4} e^{7 i c} e^{3 i d x} + 552960 i a d^{4} e^{5 i c} e^{i d x} - 368640 i a d^{4} e^{3 i c} e^{- i d x} - 30720 i a d^{4} e^{i c} e^{- 3 i d x}\right) e^{- 4 i c}}{1474560 d^{5}} & \text{for}\: 1474560 d^{5} e^{4 i c} \neq 0 \\\frac{x \left(a e^{8 i c} + 4 a e^{6 i c} + 6 a e^{4 i c} + 4 a e^{2 i c} + a\right) e^{- 3 i c}}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(18432*I*a*d**4*exp(9*I*c)*exp(5*I*d*x) + 122880*I*a*d**4*exp(7*I*c)*exp(3*I*d*x) + 552960*I*a*d**4*exp(5*I*c)*exp(I*d*x) - 368640*I*a*d**4*exp(3*I*c)*exp(-I*d*x) - 30720*I*a*d**4*exp(I*c)*exp(-3*I*d*x))*exp(-4*I*c)/(1474560*d**5), Ne(1474560*d**5*exp(4*I*c), 0)), (x*(a*exp(8*I*c) + 4*a*exp(6*I*c) + 6*a*exp(4*I*c) + 4*a*exp(2*I*c) + a)*exp(-3*I*c)/16, True))","A",0
18,1,257,0,0.608075," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(107374182400 i a d^{6} e^{16 i c} e^{7 i d x} + 901943132160 i a d^{6} e^{14 i c} e^{5 i d x} + 3758096384000 i a d^{6} e^{12 i c} e^{3 i d x} + 15032385536000 i a d^{6} e^{10 i c} e^{i d x} - 11274289152000 i a d^{6} e^{8 i c} e^{- i d x} - 1503238553600 i a d^{6} e^{6 i c} e^{- 3 i d x} - 150323855360 i a d^{6} e^{4 i c} e^{- 5 i d x}\right) e^{- 9 i c}}{48103633715200 d^{7}} & \text{for}\: 48103633715200 d^{7} e^{9 i c} \neq 0 \\\frac{x \left(a e^{12 i c} + 6 a e^{10 i c} + 15 a e^{8 i c} + 20 a e^{6 i c} + 15 a e^{4 i c} + 6 a e^{2 i c} + a\right) e^{- 5 i c}}{64} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(107374182400*I*a*d**6*exp(16*I*c)*exp(7*I*d*x) + 901943132160*I*a*d**6*exp(14*I*c)*exp(5*I*d*x) + 3758096384000*I*a*d**6*exp(12*I*c)*exp(3*I*d*x) + 15032385536000*I*a*d**6*exp(10*I*c)*exp(I*d*x) - 11274289152000*I*a*d**6*exp(8*I*c)*exp(-I*d*x) - 1503238553600*I*a*d**6*exp(6*I*c)*exp(-3*I*d*x) - 150323855360*I*a*d**6*exp(4*I*c)*exp(-5*I*d*x))*exp(-9*I*c)/(48103633715200*d**7), Ne(48103633715200*d**7*exp(9*I*c), 0)), (x*(a*exp(12*I*c) + 6*a*exp(10*I*c) + 15*a*exp(8*I*c) + 20*a*exp(6*I*c) + 15*a*exp(4*I*c) + 6*a*exp(2*I*c) + a)*exp(-5*I*c)/64, True))","A",0
19,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{8}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**8, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**8, x) + Integral(-sec(c + d*x)**8, x))","F",0
20,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{6}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**6, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**6, x) + Integral(-sec(c + d*x)**6, x))","F",0
21,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{4}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**4, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**4, x) + Integral(-sec(c + d*x)**4, x))","F",0
22,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**2, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**2, x) + Integral(-sec(c + d*x)**2, x))","F",0
23,1,53,0,0.237720," ","integrate((a+I*a*tan(d*x+c))**2,x)","\frac{2 i a^{2}}{- d e^{2 i c} e^{2 i d x} - d} - \frac{2 i a^{2} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d}"," ",0,"2*I*a**2/(-d*exp(2*I*c)*exp(2*I*d*x) - d) - 2*I*a**2*log(exp(2*I*d*x) + exp(-2*I*c))/d","A",0
24,1,37,0,0.180444," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**2,x)","\begin{cases} - \frac{i a^{2} e^{2 i c} e^{2 i d x}}{2 d} & \text{for}\: 2 d \neq 0 \\a^{2} x e^{2 i c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*a**2*exp(2*I*c)*exp(2*I*d*x)/(2*d), Ne(2*d, 0)), (a**2*x*exp(2*I*c), True))","A",0
25,1,88,0,0.258022," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**2,x)","\frac{a^{2} x}{4} + \begin{cases} \frac{- 4 i a^{2} d e^{4 i c} e^{4 i d x} - 16 i a^{2} d e^{2 i c} e^{2 i d x}}{64 d^{2}} & \text{for}\: 64 d^{2} \neq 0 \\x \left(\frac{a^{2} e^{4 i c}}{4} + \frac{a^{2} e^{2 i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"a**2*x/4 + Piecewise(((-4*I*a**2*d*exp(4*I*c)*exp(4*I*d*x) - 16*I*a**2*d*exp(2*I*c)*exp(2*I*d*x))/(64*d**2), Ne(64*d**2, 0)), (x*(a**2*exp(4*I*c)/4 + a**2*exp(2*I*c)/2), True))","A",0
26,1,187,0,0.400507," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**2,x)","\frac{a^{2} x}{4} + \begin{cases} \frac{\left(- 8192 i a^{2} d^{3} e^{8 i c} e^{6 i d x} - 49152 i a^{2} d^{3} e^{6 i c} e^{4 i d x} - 147456 i a^{2} d^{3} e^{4 i c} e^{2 i d x} + 24576 i a^{2} d^{3} e^{- 2 i d x}\right) e^{- 2 i c}}{786432 d^{4}} & \text{for}\: 786432 d^{4} e^{2 i c} \neq 0 \\x \left(- \frac{a^{2}}{4} + \frac{\left(a^{2} e^{8 i c} + 4 a^{2} e^{6 i c} + 6 a^{2} e^{4 i c} + 4 a^{2} e^{2 i c} + a^{2}\right) e^{- 2 i c}}{16}\right) & \text{otherwise} \end{cases}"," ",0,"a**2*x/4 + Piecewise(((-8192*I*a**2*d**3*exp(8*I*c)*exp(6*I*d*x) - 49152*I*a**2*d**3*exp(6*I*c)*exp(4*I*d*x) - 147456*I*a**2*d**3*exp(4*I*c)*exp(2*I*d*x) + 24576*I*a**2*d**3*exp(-2*I*d*x))*exp(-2*I*c)/(786432*d**4), Ne(786432*d**4*exp(2*I*c), 0)), (x*(-a**2/4 + (a**2*exp(8*I*c) + 4*a**2*exp(6*I*c) + 6*a**2*exp(4*I*c) + 4*a**2*exp(2*I*c) + a**2)*exp(-2*I*c)/16), True))","A",0
27,1,272,0,0.533175," ","integrate(cos(d*x+c)**8*(a+I*a*tan(d*x+c))**2,x)","\frac{15 a^{2} x}{64} + \begin{cases} \frac{\left(- 8589934592 i a^{2} d^{5} e^{14 i c} e^{8 i d x} - 68719476736 i a^{2} d^{5} e^{12 i c} e^{6 i d x} - 257698037760 i a^{2} d^{5} e^{10 i c} e^{4 i d x} - 687194767360 i a^{2} d^{5} e^{8 i c} e^{2 i d x} + 206158430208 i a^{2} d^{5} e^{4 i c} e^{- 2 i d x} + 17179869184 i a^{2} d^{5} e^{2 i c} e^{- 4 i d x}\right) e^{- 6 i c}}{4398046511104 d^{6}} & \text{for}\: 4398046511104 d^{6} e^{6 i c} \neq 0 \\x \left(- \frac{15 a^{2}}{64} + \frac{\left(a^{2} e^{12 i c} + 6 a^{2} e^{10 i c} + 15 a^{2} e^{8 i c} + 20 a^{2} e^{6 i c} + 15 a^{2} e^{4 i c} + 6 a^{2} e^{2 i c} + a^{2}\right) e^{- 4 i c}}{64}\right) & \text{otherwise} \end{cases}"," ",0,"15*a**2*x/64 + Piecewise(((-8589934592*I*a**2*d**5*exp(14*I*c)*exp(8*I*d*x) - 68719476736*I*a**2*d**5*exp(12*I*c)*exp(6*I*d*x) - 257698037760*I*a**2*d**5*exp(10*I*c)*exp(4*I*d*x) - 687194767360*I*a**2*d**5*exp(8*I*c)*exp(2*I*d*x) + 206158430208*I*a**2*d**5*exp(4*I*c)*exp(-2*I*d*x) + 17179869184*I*a**2*d**5*exp(2*I*c)*exp(-4*I*d*x))*exp(-6*I*c)/(4398046511104*d**6), Ne(4398046511104*d**6*exp(6*I*c), 0)), (x*(-15*a**2/64 + (a**2*exp(12*I*c) + 6*a**2*exp(10*I*c) + 15*a**2*exp(8*I*c) + 20*a**2*exp(6*I*c) + 15*a**2*exp(4*I*c) + 6*a**2*exp(2*I*c) + a**2)*exp(-4*I*c)/64), True))","A",0
28,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{5}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**5, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**5, x) + Integral(-sec(c + d*x)**5, x))","F",0
29,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\right)\, dx + \int \left(- \sec^{3}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x)**3, x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x)**3, x) + Integral(-sec(c + d*x)**3, x))","F",0
30,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \left(- 2 i \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx + \int \left(- \sec{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(tan(c + d*x)**2*sec(c + d*x), x) + Integral(-2*I*tan(c + d*x)*sec(c + d*x), x) + Integral(-sec(c + d*x), x))","F",0
31,1,68,0,0.292196," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**2,x)","\frac{a^{2} \left(\log{\left(e^{i d x} - i e^{- i c} \right)} - \log{\left(e^{i d x} + i e^{- i c} \right)}\right)}{d} + \begin{cases} - \frac{2 i a^{2} e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\2 a^{2} x e^{i c} & \text{otherwise} \end{cases}"," ",0,"a**2*(log(exp(I*d*x) - I*exp(-I*c)) - log(exp(I*d*x) + I*exp(-I*c)))/d + Piecewise((-2*I*a**2*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (2*a**2*x*exp(I*c), True))","A",0
32,1,76,0,0.267359," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{- 2 i a^{2} d e^{3 i c} e^{3 i d x} - 6 i a^{2} d e^{i c} e^{i d x}}{12 d^{2}} & \text{for}\: 12 d^{2} \neq 0 \\x \left(\frac{a^{2} e^{3 i c}}{2} + \frac{a^{2} e^{i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2*I*a**2*d*exp(3*I*c)*exp(3*I*d*x) - 6*I*a**2*d*exp(I*c)*exp(I*d*x))/(12*d**2), Ne(12*d**2, 0)), (x*(a**2*exp(3*I*c)/2 + a**2*exp(I*c)/2), True))","A",0
33,1,155,0,0.423304," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 512 i a^{2} d^{3} e^{6 i c} e^{5 i d x} - 2560 i a^{2} d^{3} e^{4 i c} e^{3 i d x} - 7680 i a^{2} d^{3} e^{2 i c} e^{i d x} + 2560 i a^{2} d^{3} e^{- i d x}\right) e^{- i c}}{20480 d^{4}} & \text{for}\: 20480 d^{4} e^{i c} \neq 0 \\\frac{x \left(a^{2} e^{6 i c} + 3 a^{2} e^{4 i c} + 3 a^{2} e^{2 i c} + a^{2}\right) e^{- i c}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-512*I*a**2*d**3*exp(6*I*c)*exp(5*I*d*x) - 2560*I*a**2*d**3*exp(4*I*c)*exp(3*I*d*x) - 7680*I*a**2*d**3*exp(2*I*c)*exp(I*d*x) + 2560*I*a**2*d**3*exp(-I*d*x))*exp(-I*c)/(20480*d**4), Ne(20480*d**4*exp(I*c), 0)), (x*(a**2*exp(6*I*c) + 3*a**2*exp(4*I*c) + 3*a**2*exp(2*I*c) + a**2)*exp(-I*c)/8, True))","A",0
34,1,240,0,0.603832," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 75497472 i a^{2} d^{5} e^{11 i c} e^{7 i d x} - 528482304 i a^{2} d^{5} e^{9 i c} e^{5 i d x} - 1761607680 i a^{2} d^{5} e^{7 i c} e^{3 i d x} - 5284823040 i a^{2} d^{5} e^{5 i c} e^{i d x} + 2642411520 i a^{2} d^{5} e^{3 i c} e^{- i d x} + 176160768 i a^{2} d^{5} e^{i c} e^{- 3 i d x}\right) e^{- 4 i c}}{16911433728 d^{6}} & \text{for}\: 16911433728 d^{6} e^{4 i c} \neq 0 \\\frac{x \left(a^{2} e^{10 i c} + 5 a^{2} e^{8 i c} + 10 a^{2} e^{6 i c} + 10 a^{2} e^{4 i c} + 5 a^{2} e^{2 i c} + a^{2}\right) e^{- 3 i c}}{32} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-75497472*I*a**2*d**5*exp(11*I*c)*exp(7*I*d*x) - 528482304*I*a**2*d**5*exp(9*I*c)*exp(5*I*d*x) - 1761607680*I*a**2*d**5*exp(7*I*c)*exp(3*I*d*x) - 5284823040*I*a**2*d**5*exp(5*I*c)*exp(I*d*x) + 2642411520*I*a**2*d**5*exp(3*I*c)*exp(-I*d*x) + 176160768*I*a**2*d**5*exp(I*c)*exp(-3*I*d*x))*exp(-4*I*c)/(16911433728*d**6), Ne(16911433728*d**6*exp(4*I*c), 0)), (x*(a**2*exp(10*I*c) + 5*a**2*exp(8*I*c) + 10*a**2*exp(6*I*c) + 10*a**2*exp(4*I*c) + 5*a**2*exp(2*I*c) + a**2)*exp(-3*I*c)/32, True))","A",0
35,1,316,0,0.777514," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 126663739519795200 i a^{2} d^{7} e^{18 i c} e^{9 i d x} - 1139973655678156800 i a^{2} d^{7} e^{16 i c} e^{7 i d x} - 4787889353848258560 i a^{2} d^{7} e^{14 i c} e^{5 i d x} - 13299692649578496000 i a^{2} d^{7} e^{12 i c} e^{3 i d x} - 39899077948735488000 i a^{2} d^{7} e^{10 i c} e^{i d x} + 23939446769241292800 i a^{2} d^{7} e^{8 i c} e^{- i d x} + 2659938529915699200 i a^{2} d^{7} e^{6 i c} e^{- 3 i d x} + 227994731135631360 i a^{2} d^{7} e^{4 i c} e^{- 5 i d x}\right) e^{- 9 i c}}{145916627926804070400 d^{8}} & \text{for}\: 145916627926804070400 d^{8} e^{9 i c} \neq 0 \\\frac{x \left(a^{2} e^{14 i c} + 7 a^{2} e^{12 i c} + 21 a^{2} e^{10 i c} + 35 a^{2} e^{8 i c} + 35 a^{2} e^{6 i c} + 21 a^{2} e^{4 i c} + 7 a^{2} e^{2 i c} + a^{2}\right) e^{- 5 i c}}{128} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-126663739519795200*I*a**2*d**7*exp(18*I*c)*exp(9*I*d*x) - 1139973655678156800*I*a**2*d**7*exp(16*I*c)*exp(7*I*d*x) - 4787889353848258560*I*a**2*d**7*exp(14*I*c)*exp(5*I*d*x) - 13299692649578496000*I*a**2*d**7*exp(12*I*c)*exp(3*I*d*x) - 39899077948735488000*I*a**2*d**7*exp(10*I*c)*exp(I*d*x) + 23939446769241292800*I*a**2*d**7*exp(8*I*c)*exp(-I*d*x) + 2659938529915699200*I*a**2*d**7*exp(6*I*c)*exp(-3*I*d*x) + 227994731135631360*I*a**2*d**7*exp(4*I*c)*exp(-5*I*d*x))*exp(-9*I*c)/(145916627926804070400*d**8), Ne(145916627926804070400*d**8*exp(9*I*c), 0)), (x*(a**2*exp(14*I*c) + 7*a**2*exp(12*I*c) + 21*a**2*exp(10*I*c) + 35*a**2*exp(8*I*c) + 35*a**2*exp(6*I*c) + 21*a**2*exp(4*I*c) + 7*a**2*exp(2*I*c) + a**2)*exp(-5*I*c)/128, True))","A",0
36,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec^{8}{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x)**8, x) + Integral(-3*tan(c + d*x)*sec(c + d*x)**8, x) + Integral(tan(c + d*x)**3*sec(c + d*x)**8, x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x)**8, x))","F",0
37,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x)**6, x) + Integral(-3*tan(c + d*x)*sec(c + d*x)**6, x) + Integral(tan(c + d*x)**3*sec(c + d*x)**6, x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x)**6, x))","F",0
38,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x)**4, x) + Integral(-3*tan(c + d*x)*sec(c + d*x)**4, x) + Integral(tan(c + d*x)**3*sec(c + d*x)**4, x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x)**4, x))","F",0
39,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x)**2, x) + Integral(-3*tan(c + d*x)*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**3*sec(c + d*x)**2, x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x)**2, x))","F",0
40,1,94,0,0.314104," ","integrate((a+I*a*tan(d*x+c))**3,x)","- \frac{4 i a^{3} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{8 a^{3} e^{2 i c} e^{2 i d x} + 6 a^{3}}{i d e^{4 i c} e^{4 i d x} + 2 i d e^{2 i c} e^{2 i d x} + i d}"," ",0,"-4*I*a**3*log(exp(2*I*d*x) + exp(-2*I*c))/d + (8*a**3*exp(2*I*c)*exp(2*I*d*x) + 6*a**3)/(I*d*exp(4*I*c)*exp(4*I*d*x) + 2*I*d*exp(2*I*c)*exp(2*I*d*x) + I*d)","A",0
41,1,61,0,0.321356," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**3,x)","\frac{i a^{3} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \begin{cases} - \frac{i a^{3} e^{2 i c} e^{2 i d x}}{d} & \text{for}\: d \neq 0 \\2 a^{3} x e^{2 i c} & \text{otherwise} \end{cases}"," ",0,"I*a**3*log(exp(2*I*d*x) + exp(-2*I*c))/d + Piecewise((-I*a**3*exp(2*I*c)*exp(2*I*d*x)/d, Ne(d, 0)), (2*a**3*x*exp(2*I*c), True))","A",0
42,1,82,0,0.310543," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**3,x)","\begin{cases} \frac{- 4 i a^{3} d e^{4 i c} e^{4 i d x} - 8 i a^{3} d e^{2 i c} e^{2 i d x}}{32 d^{2}} & \text{for}\: 32 d^{2} \neq 0 \\x \left(\frac{a^{3} e^{4 i c}}{2} + \frac{a^{3} e^{2 i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-4*I*a**3*d*exp(4*I*c)*exp(4*I*d*x) - 8*I*a**3*d*exp(2*I*c)*exp(2*I*d*x))/(32*d**2), Ne(32*d**2, 0)), (x*(a**3*exp(4*I*c)/2 + a**3*exp(2*I*c)/2), True))","A",0
43,1,133,0,0.399817," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**3,x)","\frac{a^{3} x}{8} + \begin{cases} - \frac{512 i a^{3} d^{2} e^{6 i c} e^{6 i d x} + 2304 i a^{3} d^{2} e^{4 i c} e^{4 i d x} + 4608 i a^{3} d^{2} e^{2 i c} e^{2 i d x}}{24576 d^{3}} & \text{for}\: 24576 d^{3} \neq 0 \\x \left(\frac{a^{3} e^{6 i c}}{8} + \frac{3 a^{3} e^{4 i c}}{8} + \frac{3 a^{3} e^{2 i c}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"a**3*x/8 + Piecewise((-(512*I*a**3*d**2*exp(6*I*c)*exp(6*I*d*x) + 2304*I*a**3*d**2*exp(4*I*c)*exp(4*I*d*x) + 4608*I*a**3*d**2*exp(2*I*c)*exp(2*I*d*x))/(24576*d**3), Ne(24576*d**3, 0)), (x*(a**3*exp(6*I*c)/8 + 3*a**3*exp(4*I*c)/8 + 3*a**3*exp(2*I*c)/8), True))","A",0
44,1,230,0,0.567741," ","integrate(cos(d*x+c)**8*(a+I*a*tan(d*x+c))**3,x)","\frac{5 a^{3} x}{32} + \begin{cases} - \frac{\left(25165824 i a^{3} d^{4} e^{10 i c} e^{8 i d x} + 167772160 i a^{3} d^{4} e^{8 i c} e^{6 i d x} + 503316480 i a^{3} d^{4} e^{6 i c} e^{4 i d x} + 1006632960 i a^{3} d^{4} e^{4 i c} e^{2 i d x} - 100663296 i a^{3} d^{4} e^{- 2 i d x}\right) e^{- 2 i c}}{6442450944 d^{5}} & \text{for}\: 6442450944 d^{5} e^{2 i c} \neq 0 \\x \left(- \frac{5 a^{3}}{32} + \frac{\left(a^{3} e^{10 i c} + 5 a^{3} e^{8 i c} + 10 a^{3} e^{6 i c} + 10 a^{3} e^{4 i c} + 5 a^{3} e^{2 i c} + a^{3}\right) e^{- 2 i c}}{32}\right) & \text{otherwise} \end{cases}"," ",0,"5*a**3*x/32 + Piecewise((-(25165824*I*a**3*d**4*exp(10*I*c)*exp(8*I*d*x) + 167772160*I*a**3*d**4*exp(8*I*c)*exp(6*I*d*x) + 503316480*I*a**3*d**4*exp(6*I*c)*exp(4*I*d*x) + 1006632960*I*a**3*d**4*exp(4*I*c)*exp(2*I*d*x) - 100663296*I*a**3*d**4*exp(-2*I*d*x))*exp(-2*I*c)/(6442450944*d**5), Ne(6442450944*d**5*exp(2*I*c), 0)), (x*(-5*a**3/32 + (a**3*exp(10*I*c) + 5*a**3*exp(8*I*c) + 10*a**3*exp(6*I*c) + 10*a**3*exp(4*I*c) + 5*a**3*exp(2*I*c) + a**3)*exp(-2*I*c)/32), True))","A",0
45,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec^{3}{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x)**3, x) + Integral(-3*tan(c + d*x)*sec(c + d*x)**3, x) + Integral(tan(c + d*x)**3*sec(c + d*x)**3, x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x)**3, x))","F",0
46,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sec{\left(c + d x \right)}\, dx + \int \left(- 3 \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx + \int \tan^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \left(- 3 i \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sec(c + d*x), x) + Integral(-3*tan(c + d*x)*sec(c + d*x), x) + Integral(tan(c + d*x)**3*sec(c + d*x), x) + Integral(-3*I*tan(c + d*x)**2*sec(c + d*x), x))","F",0
47,1,109,0,0.359812," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**3,x)","\frac{2 i a^{3} e^{i c} e^{i d x}}{- d e^{2 i c} e^{2 i d x} - d} + \frac{3 a^{3} \left(\log{\left(e^{i d x} - i e^{- i c} \right)} - \log{\left(e^{i d x} + i e^{- i c} \right)}\right)}{d} + \begin{cases} - \frac{4 i a^{3} e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\4 a^{3} x e^{i c} & \text{otherwise} \end{cases}"," ",0,"2*I*a**3*exp(I*c)*exp(I*d*x)/(-d*exp(2*I*c)*exp(2*I*d*x) - d) + 3*a**3*(log(exp(I*d*x) - I*exp(-I*c)) - log(exp(I*d*x) + I*exp(-I*c)))/d + Piecewise((-4*I*a**3*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (4*a**3*x*exp(I*c), True))","A",0
48,1,37,0,0.241785," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{i a^{3} e^{3 i c} e^{3 i d x}}{3 d} & \text{for}\: 3 d \neq 0 \\a^{3} x e^{3 i c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*a**3*exp(3*I*c)*exp(3*I*d*x)/(3*d), Ne(3*d, 0)), (a**3*x*exp(3*I*c), True))","A",0
49,1,117,0,0.404942," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{24 i a^{3} d^{2} e^{5 i c} e^{5 i d x} + 80 i a^{3} d^{2} e^{3 i c} e^{3 i d x} + 120 i a^{3} d^{2} e^{i c} e^{i d x}}{480 d^{3}} & \text{for}\: 480 d^{3} \neq 0 \\x \left(\frac{a^{3} e^{5 i c}}{4} + \frac{a^{3} e^{3 i c}}{2} + \frac{a^{3} e^{i c}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(24*I*a**3*d**2*exp(5*I*c)*exp(5*I*d*x) + 80*I*a**3*d**2*exp(3*I*c)*exp(3*I*d*x) + 120*I*a**3*d**2*exp(I*c)*exp(I*d*x))/(480*d**3), Ne(480*d**3, 0)), (x*(a**3*exp(5*I*c)/4 + a**3*exp(3*I*c)/2 + a**3*exp(I*c)/4), True))","A",0
50,1,194,0,0.578934," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(10240 i a^{3} d^{4} e^{8 i c} e^{7 i d x} + 57344 i a^{3} d^{4} e^{6 i c} e^{5 i d x} + 143360 i a^{3} d^{4} e^{4 i c} e^{3 i d x} + 286720 i a^{3} d^{4} e^{2 i c} e^{i d x} - 71680 i a^{3} d^{4} e^{- i d x}\right) e^{- i c}}{1146880 d^{5}} & \text{for}\: 1146880 d^{5} e^{i c} \neq 0 \\\frac{x \left(a^{3} e^{8 i c} + 4 a^{3} e^{6 i c} + 6 a^{3} e^{4 i c} + 4 a^{3} e^{2 i c} + a^{3}\right) e^{- i c}}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(10240*I*a**3*d**4*exp(8*I*c)*exp(7*I*d*x) + 57344*I*a**3*d**4*exp(6*I*c)*exp(5*I*d*x) + 143360*I*a**3*d**4*exp(4*I*c)*exp(3*I*d*x) + 286720*I*a**3*d**4*exp(2*I*c)*exp(I*d*x) - 71680*I*a**3*d**4*exp(-I*d*x))*exp(-I*c)/(1146880*d**5), Ne(1146880*d**5*exp(I*c), 0)), (x*(a**3*exp(8*I*c) + 4*a**3*exp(6*I*c) + 6*a**3*exp(4*I*c) + 4*a**3*exp(2*I*c) + a**3)*exp(-I*c)/16, True))","A",0
51,1,279,0,0.777300," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(270582939648 i a^{3} d^{6} e^{13 i c} e^{9 i d x} + 2087354105856 i a^{3} d^{6} e^{11 i c} e^{7 i d x} + 7305739370496 i a^{3} d^{6} e^{9 i c} e^{5 i d x} + 16234976378880 i a^{3} d^{6} e^{7 i c} e^{3 i d x} + 36528696852480 i a^{3} d^{6} e^{5 i c} e^{i d x} - 14611478740992 i a^{3} d^{6} e^{3 i c} e^{- i d x} - 811748818944 i a^{3} d^{6} e^{i c} e^{- 3 i d x}\right) e^{- 4 i c}}{155855773237248 d^{7}} & \text{for}\: 155855773237248 d^{7} e^{4 i c} \neq 0 \\\frac{x \left(a^{3} e^{12 i c} + 6 a^{3} e^{10 i c} + 15 a^{3} e^{8 i c} + 20 a^{3} e^{6 i c} + 15 a^{3} e^{4 i c} + 6 a^{3} e^{2 i c} + a^{3}\right) e^{- 3 i c}}{64} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(270582939648*I*a**3*d**6*exp(13*I*c)*exp(9*I*d*x) + 2087354105856*I*a**3*d**6*exp(11*I*c)*exp(7*I*d*x) + 7305739370496*I*a**3*d**6*exp(9*I*c)*exp(5*I*d*x) + 16234976378880*I*a**3*d**6*exp(7*I*c)*exp(3*I*d*x) + 36528696852480*I*a**3*d**6*exp(5*I*c)*exp(I*d*x) - 14611478740992*I*a**3*d**6*exp(3*I*c)*exp(-I*d*x) - 811748818944*I*a**3*d**6*exp(I*c)*exp(-3*I*d*x))*exp(-4*I*c)/(155855773237248*d**7), Ne(155855773237248*d**7*exp(4*I*c), 0)), (x*(a**3*exp(12*I*c) + 6*a**3*exp(10*I*c) + 15*a**3*exp(8*I*c) + 20*a**3*exp(6*I*c) + 15*a**3*exp(4*I*c) + 6*a**3*exp(2*I*c) + a**3)*exp(-3*I*c)/64, True))","A",0
52,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**4,x)","a^{4} \left(\int \left(- 6 \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\right)\, dx + \int \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int 4 i \tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\, dx + \int \left(- 4 i \tan^{3}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}\right)\, dx + \int \sec^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(-6*tan(c + d*x)**2*sec(c + d*x)**3, x) + Integral(tan(c + d*x)**4*sec(c + d*x)**3, x) + Integral(4*I*tan(c + d*x)*sec(c + d*x)**3, x) + Integral(-4*I*tan(c + d*x)**3*sec(c + d*x)**3, x) + Integral(sec(c + d*x)**3, x))","F",0
53,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**4,x)","a^{4} \left(\int \left(- 6 \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx + \int \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 4 i \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \left(- 4 i \tan^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx + \int \sec{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(-6*tan(c + d*x)**2*sec(c + d*x), x) + Integral(tan(c + d*x)**4*sec(c + d*x), x) + Integral(4*I*tan(c + d*x)*sec(c + d*x), x) + Integral(-4*I*tan(c + d*x)**3*sec(c + d*x), x) + Integral(sec(c + d*x), x))","F",0
54,1,153,0,0.436707," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**4,x)","\frac{15 a^{4} \left(\frac{\log{\left(e^{i d x} - i e^{- i c} \right)}}{2} - \frac{\log{\left(e^{i d x} + i e^{- i c} \right)}}{2}\right)}{d} + \frac{9 i a^{4} e^{3 i c} e^{3 i d x} + 7 i a^{4} e^{i c} e^{i d x}}{- d e^{4 i c} e^{4 i d x} - 2 d e^{2 i c} e^{2 i d x} - d} + \begin{cases} - \frac{8 i a^{4} e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\8 a^{4} x e^{i c} & \text{otherwise} \end{cases}"," ",0,"15*a**4*(log(exp(I*d*x) - I*exp(-I*c))/2 - log(exp(I*d*x) + I*exp(-I*c))/2)/d + (9*I*a**4*exp(3*I*c)*exp(3*I*d*x) + 7*I*a**4*exp(I*c)*exp(I*d*x))/(-d*exp(4*I*c)*exp(4*I*d*x) - 2*d*exp(2*I*c)*exp(2*I*d*x) - d) + Piecewise((-8*I*a**4*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (8*a**4*x*exp(I*c), True))","A",0
55,1,110,0,0.447949," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**4,x)","\frac{a^{4} \left(- \log{\left(e^{i d x} - i e^{- i c} \right)} + \log{\left(e^{i d x} + i e^{- i c} \right)}\right)}{d} + \begin{cases} \frac{- 2 i a^{4} d e^{3 i c} e^{3 i d x} + 6 i a^{4} d e^{i c} e^{i d x}}{3 d^{2}} & \text{for}\: 3 d^{2} \neq 0 \\x \left(2 a^{4} e^{3 i c} - 2 a^{4} e^{i c}\right) & \text{otherwise} \end{cases}"," ",0,"a**4*(-log(exp(I*d*x) - I*exp(-I*c)) + log(exp(I*d*x) + I*exp(-I*c)))/d + Piecewise(((-2*I*a**4*d*exp(3*I*c)*exp(3*I*d*x) + 6*I*a**4*d*exp(I*c)*exp(I*d*x))/(3*d**2), Ne(3*d**2, 0)), (x*(2*a**4*exp(3*I*c) - 2*a**4*exp(I*c)), True))","A",0
56,1,82,0,0.419274," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{- 6 i a^{4} d e^{5 i c} e^{5 i d x} - 10 i a^{4} d e^{3 i c} e^{3 i d x}}{60 d^{2}} & \text{for}\: 60 d^{2} \neq 0 \\x \left(\frac{a^{4} e^{5 i c}}{2} + \frac{a^{4} e^{3 i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-6*I*a**4*d*exp(5*I*c)*exp(5*I*d*x) - 10*I*a**4*d*exp(3*I*c)*exp(3*I*d*x))/(60*d**2), Ne(60*d**2, 0)), (x*(a**4*exp(5*I*c)/2 + a**4*exp(3*I*c)/2), True))","A",0
57,1,158,0,0.557642," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{- 2560 i a^{4} d^{3} e^{7 i c} e^{7 i d x} - 10752 i a^{4} d^{3} e^{5 i c} e^{5 i d x} - 17920 i a^{4} d^{3} e^{3 i c} e^{3 i d x} - 17920 i a^{4} d^{3} e^{i c} e^{i d x}}{143360 d^{4}} & \text{for}\: 143360 d^{4} \neq 0 \\x \left(\frac{a^{4} e^{7 i c}}{8} + \frac{3 a^{4} e^{5 i c}}{8} + \frac{3 a^{4} e^{3 i c}}{8} + \frac{a^{4} e^{i c}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2560*I*a**4*d**3*exp(7*I*c)*exp(7*I*d*x) - 10752*I*a**4*d**3*exp(5*I*c)*exp(5*I*d*x) - 17920*I*a**4*d**3*exp(3*I*c)*exp(3*I*d*x) - 17920*I*a**4*d**3*exp(I*c)*exp(I*d*x))/(143360*d**4), Ne(143360*d**4, 0)), (x*(a**4*exp(7*I*c)/8 + 3*a**4*exp(5*I*c)/8 + 3*a**4*exp(3*I*c)/8 + a**4*exp(I*c)/8), True))","A",0
58,1,230,0,0.754251," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 176160768 i a^{4} d^{5} e^{10 i c} e^{9 i d x} - 1132462080 i a^{4} d^{5} e^{8 i c} e^{7 i d x} - 3170893824 i a^{4} d^{5} e^{6 i c} e^{5 i d x} - 5284823040 i a^{4} d^{5} e^{4 i c} e^{3 i d x} - 7927234560 i a^{4} d^{5} e^{2 i c} e^{i d x} + 1585446912 i a^{4} d^{5} e^{- i d x}\right) e^{- i c}}{50734301184 d^{6}} & \text{for}\: 50734301184 d^{6} e^{i c} \neq 0 \\\frac{x \left(a^{4} e^{10 i c} + 5 a^{4} e^{8 i c} + 10 a^{4} e^{6 i c} + 10 a^{4} e^{4 i c} + 5 a^{4} e^{2 i c} + a^{4}\right) e^{- i c}}{32} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-176160768*I*a**4*d**5*exp(10*I*c)*exp(9*I*d*x) - 1132462080*I*a**4*d**5*exp(8*I*c)*exp(7*I*d*x) - 3170893824*I*a**4*d**5*exp(6*I*c)*exp(5*I*d*x) - 5284823040*I*a**4*d**5*exp(4*I*c)*exp(3*I*d*x) - 7927234560*I*a**4*d**5*exp(2*I*c)*exp(I*d*x) + 1585446912*I*a**4*d**5*exp(-I*d*x))*exp(-I*c)/(50734301184*d**6), Ne(50734301184*d**6*exp(I*c), 0)), (x*(a**4*exp(10*I*c) + 5*a**4*exp(8*I*c) + 10*a**4*exp(6*I*c) + 10*a**4*exp(4*I*c) + 5*a**4*exp(2*I*c) + a**4)*exp(-I*c)/32, True))","A",0
59,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \sec^{8}{\left(c + d x \right)}\right)\, dx + \int 5 \tan{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\, dx + \int \left(- 10 \tan^{3}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\right)\, dx + \int \tan^{5}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\, dx + \int 10 i \tan^{2}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\, dx + \int \left(- 5 i \tan^{4}{\left(c + d x \right)} \sec^{8}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*sec(c + d*x)**8, x) + Integral(5*tan(c + d*x)*sec(c + d*x)**8, x) + Integral(-10*tan(c + d*x)**3*sec(c + d*x)**8, x) + Integral(tan(c + d*x)**5*sec(c + d*x)**8, x) + Integral(10*I*tan(c + d*x)**2*sec(c + d*x)**8, x) + Integral(-5*I*tan(c + d*x)**4*sec(c + d*x)**8, x))","F",0
60,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \sec^{6}{\left(c + d x \right)}\right)\, dx + \int 5 \tan{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 10 \tan^{3}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \tan^{5}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int 10 i \tan^{2}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 5 i \tan^{4}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*sec(c + d*x)**6, x) + Integral(5*tan(c + d*x)*sec(c + d*x)**6, x) + Integral(-10*tan(c + d*x)**3*sec(c + d*x)**6, x) + Integral(tan(c + d*x)**5*sec(c + d*x)**6, x) + Integral(10*I*tan(c + d*x)**2*sec(c + d*x)**6, x) + Integral(-5*I*tan(c + d*x)**4*sec(c + d*x)**6, x))","F",0
61,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \sec^{4}{\left(c + d x \right)}\right)\, dx + \int 5 \tan{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 10 \tan^{3}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \tan^{5}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int 10 i \tan^{2}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 5 i \tan^{4}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*sec(c + d*x)**4, x) + Integral(5*tan(c + d*x)*sec(c + d*x)**4, x) + Integral(-10*tan(c + d*x)**3*sec(c + d*x)**4, x) + Integral(tan(c + d*x)**5*sec(c + d*x)**4, x) + Integral(10*I*tan(c + d*x)**2*sec(c + d*x)**4, x) + Integral(-5*I*tan(c + d*x)**4*sec(c + d*x)**4, x))","F",0
62,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \sec^{2}{\left(c + d x \right)}\right)\, dx + \int 5 \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 10 \tan^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \tan^{5}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int 10 i \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 5 i \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*sec(c + d*x)**2, x) + Integral(5*tan(c + d*x)*sec(c + d*x)**2, x) + Integral(-10*tan(c + d*x)**3*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**5*sec(c + d*x)**2, x) + Integral(10*I*tan(c + d*x)**2*sec(c + d*x)**2, x) + Integral(-5*I*tan(c + d*x)**4*sec(c + d*x)**2, x))","F",0
63,1,182,0,0.476944," ","integrate((a+I*a*tan(d*x+c))**5,x)","- \frac{16 i a^{5} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{- 192 a^{5} e^{6 i c} e^{6 i d x} - 432 a^{5} e^{4 i c} e^{4 i d x} - 352 a^{5} e^{2 i c} e^{2 i d x} - 100 a^{5}}{- 3 i d e^{8 i c} e^{8 i d x} - 12 i d e^{6 i c} e^{6 i d x} - 18 i d e^{4 i c} e^{4 i d x} - 12 i d e^{2 i c} e^{2 i d x} - 3 i d}"," ",0,"-16*I*a**5*log(exp(2*I*d*x) + exp(-2*I*c))/d + (-192*a**5*exp(6*I*c)*exp(6*I*d*x) - 432*a**5*exp(4*I*c)*exp(4*I*d*x) - 352*a**5*exp(2*I*c)*exp(2*I*d*x) - 100*a**5)/(-3*I*d*exp(8*I*c)*exp(8*I*d*x) - 12*I*d*exp(6*I*c)*exp(6*I*d*x) - 18*I*d*exp(4*I*c)*exp(4*I*d*x) - 12*I*d*exp(2*I*c)*exp(2*I*d*x) - 3*I*d)","A",0
64,1,134,0,0.468202," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**5,x)","\frac{12 i a^{5} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{- 12 a^{5} e^{2 i c} e^{2 i d x} - 10 a^{5}}{i d e^{4 i c} e^{4 i d x} + 2 i d e^{2 i c} e^{2 i d x} + i d} + \begin{cases} - \frac{4 i a^{5} e^{2 i c} e^{2 i d x}}{d} & \text{for}\: d \neq 0 \\8 a^{5} x e^{2 i c} & \text{otherwise} \end{cases}"," ",0,"12*I*a**5*log(exp(2*I*d*x) + exp(-2*I*c))/d + (-12*a**5*exp(2*I*c)*exp(2*I*d*x) - 10*a**5)/(I*d*exp(4*I*c)*exp(4*I*d*x) + 2*I*d*exp(2*I*c)*exp(2*I*d*x) + I*d) + Piecewise((-4*I*a**5*exp(2*I*c)*exp(2*I*d*x)/d, Ne(d, 0)), (8*a**5*x*exp(2*I*c), True))","A",0
65,1,104,0,0.476008," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**5,x)","- \frac{i a^{5} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \begin{cases} \frac{- i a^{5} d e^{4 i c} e^{4 i d x} + 2 i a^{5} d e^{2 i c} e^{2 i d x}}{2 d^{2}} & \text{for}\: 2 d^{2} \neq 0 \\x \left(2 a^{5} e^{4 i c} - 2 a^{5} e^{2 i c}\right) & \text{otherwise} \end{cases}"," ",0,"-I*a**5*log(exp(2*I*d*x) + exp(-2*I*c))/d + Piecewise(((-I*a**5*d*exp(4*I*c)*exp(4*I*d*x) + 2*I*a**5*d*exp(2*I*c)*exp(2*I*d*x))/(2*d**2), Ne(2*d**2, 0)), (x*(2*a**5*exp(4*I*c) - 2*a**5*exp(2*I*c)), True))","A",0
66,1,82,0,0.484106," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} \frac{- 8 i a^{5} d e^{6 i c} e^{6 i d x} - 12 i a^{5} d e^{4 i c} e^{4 i d x}}{96 d^{2}} & \text{for}\: 96 d^{2} \neq 0 \\x \left(\frac{a^{5} e^{6 i c}}{2} + \frac{a^{5} e^{4 i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-8*I*a**5*d*exp(6*I*c)*exp(6*I*d*x) - 12*I*a**5*d*exp(4*I*c)*exp(4*I*d*x))/(96*d**2), Ne(96*d**2, 0)), (x*(a**5*exp(6*I*c)/2 + a**5*exp(4*I*c)/2), True))","A",0
67,1,163,0,0.619932," ","integrate(cos(d*x+c)**8*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} \frac{- 8192 i a^{5} d^{3} e^{8 i c} e^{8 i d x} - 32768 i a^{5} d^{3} e^{6 i c} e^{6 i d x} - 49152 i a^{5} d^{3} e^{4 i c} e^{4 i d x} - 32768 i a^{5} d^{3} e^{2 i c} e^{2 i d x}}{524288 d^{4}} & \text{for}\: 524288 d^{4} \neq 0 \\x \left(\frac{a^{5} e^{8 i c}}{8} + \frac{3 a^{5} e^{6 i c}}{8} + \frac{3 a^{5} e^{4 i c}}{8} + \frac{a^{5} e^{2 i c}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-8192*I*a**5*d**3*exp(8*I*c)*exp(8*I*d*x) - 32768*I*a**5*d**3*exp(6*I*c)*exp(6*I*d*x) - 49152*I*a**5*d**3*exp(4*I*c)*exp(4*I*d*x) - 32768*I*a**5*d**3*exp(2*I*c)*exp(2*I*d*x))/(524288*d**4), Ne(524288*d**4, 0)), (x*(a**5*exp(8*I*c)/8 + 3*a**5*exp(6*I*c)/8 + 3*a**5*exp(4*I*c)/8 + a**5*exp(2*I*c)/8), True))","B",0
68,1,211,0,0.733854," ","integrate(cos(d*x+c)**10*(a+I*a*tan(d*x+c))**5,x)","\frac{a^{5} x}{32} + \begin{cases} - \frac{100663296 i a^{5} d^{4} e^{10 i c} e^{10 i d x} + 629145600 i a^{5} d^{4} e^{8 i c} e^{8 i d x} + 1677721600 i a^{5} d^{4} e^{6 i c} e^{6 i d x} + 2516582400 i a^{5} d^{4} e^{4 i c} e^{4 i d x} + 2516582400 i a^{5} d^{4} e^{2 i c} e^{2 i d x}}{32212254720 d^{5}} & \text{for}\: 32212254720 d^{5} \neq 0 \\x \left(\frac{a^{5} e^{10 i c}}{32} + \frac{5 a^{5} e^{8 i c}}{32} + \frac{5 a^{5} e^{6 i c}}{16} + \frac{5 a^{5} e^{4 i c}}{16} + \frac{5 a^{5} e^{2 i c}}{32}\right) & \text{otherwise} \end{cases}"," ",0,"a**5*x/32 + Piecewise((-(100663296*I*a**5*d**4*exp(10*I*c)*exp(10*I*d*x) + 629145600*I*a**5*d**4*exp(8*I*c)*exp(8*I*d*x) + 1677721600*I*a**5*d**4*exp(6*I*c)*exp(6*I*d*x) + 2516582400*I*a**5*d**4*exp(4*I*c)*exp(4*I*d*x) + 2516582400*I*a**5*d**4*exp(2*I*c)*exp(2*I*d*x))/(32212254720*d**5), Ne(32212254720*d**5, 0)), (x*(a**5*exp(10*I*c)/32 + 5*a**5*exp(8*I*c)/32 + 5*a**5*exp(6*I*c)/16 + 5*a**5*exp(4*I*c)/16 + 5*a**5*exp(2*I*c)/32), True))","A",0
69,1,304,0,0.940024," ","integrate(cos(d*x+c)**12*(a+I*a*tan(d*x+c))**5,x)","\frac{7 a^{5} x}{128} + \begin{cases} - \frac{\left(33776997205278720 i a^{5} d^{6} e^{14 i c} e^{12 i d x} + 283726776524341248 i a^{5} d^{6} e^{12 i c} e^{10 i d x} + 1063975411966279680 i a^{5} d^{6} e^{10 i c} e^{8 i d x} + 2364389804369510400 i a^{5} d^{6} e^{8 i c} e^{6 i d x} + 3546584706554265600 i a^{5} d^{6} e^{6 i c} e^{4 i d x} + 4255901647865118720 i a^{5} d^{6} e^{4 i c} e^{2 i d x} - 202661983231672320 i a^{5} d^{6} e^{- 2 i d x}\right) e^{- 2 i c}}{51881467707308113920 d^{7}} & \text{for}\: 51881467707308113920 d^{7} e^{2 i c} \neq 0 \\x \left(- \frac{7 a^{5}}{128} + \frac{\left(a^{5} e^{14 i c} + 7 a^{5} e^{12 i c} + 21 a^{5} e^{10 i c} + 35 a^{5} e^{8 i c} + 35 a^{5} e^{6 i c} + 21 a^{5} e^{4 i c} + 7 a^{5} e^{2 i c} + a^{5}\right) e^{- 2 i c}}{128}\right) & \text{otherwise} \end{cases}"," ",0,"7*a**5*x/128 + Piecewise((-(33776997205278720*I*a**5*d**6*exp(14*I*c)*exp(12*I*d*x) + 283726776524341248*I*a**5*d**6*exp(12*I*c)*exp(10*I*d*x) + 1063975411966279680*I*a**5*d**6*exp(10*I*c)*exp(8*I*d*x) + 2364389804369510400*I*a**5*d**6*exp(8*I*c)*exp(6*I*d*x) + 3546584706554265600*I*a**5*d**6*exp(6*I*c)*exp(4*I*d*x) + 4255901647865118720*I*a**5*d**6*exp(4*I*c)*exp(2*I*d*x) - 202661983231672320*I*a**5*d**6*exp(-2*I*d*x))*exp(-2*I*c)/(51881467707308113920*d**7), Ne(51881467707308113920*d**7*exp(2*I*c), 0)), (x*(-7*a**5/128 + (a**5*exp(14*I*c) + 7*a**5*exp(12*I*c) + 21*a**5*exp(10*I*c) + 35*a**5*exp(8*I*c) + 35*a**5*exp(6*I*c) + 21*a**5*exp(4*I*c) + 7*a**5*exp(2*I*c) + a**5)*exp(-2*I*c)/128), True))","A",0
70,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \sec{\left(c + d x \right)}\right)\, dx + \int 5 \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \left(- 10 \tan^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx + \int \tan^{5}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int 10 i \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}\, dx + \int \left(- 5 i \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*sec(c + d*x), x) + Integral(5*tan(c + d*x)*sec(c + d*x), x) + Integral(-10*tan(c + d*x)**3*sec(c + d*x), x) + Integral(tan(c + d*x)**5*sec(c + d*x), x) + Integral(10*I*tan(c + d*x)**2*sec(c + d*x), x) + Integral(-5*I*tan(c + d*x)**4*sec(c + d*x), x))","F",0
71,1,201,0,0.538874," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**5,x)","\frac{35 a^{5} \left(\frac{\log{\left(e^{i d x} - i e^{- i c} \right)}}{2} - \frac{\log{\left(e^{i d x} + i e^{- i c} \right)}}{2}\right)}{d} + \frac{- 87 a^{5} e^{5 i c} e^{5 i d x} - 136 a^{5} e^{3 i c} e^{3 i d x} - 57 a^{5} e^{i c} e^{i d x}}{- 3 i d e^{6 i c} e^{6 i d x} - 9 i d e^{4 i c} e^{4 i d x} - 9 i d e^{2 i c} e^{2 i d x} - 3 i d} + \begin{cases} - \frac{16 i a^{5} e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\16 a^{5} x e^{i c} & \text{otherwise} \end{cases}"," ",0,"35*a**5*(log(exp(I*d*x) - I*exp(-I*c))/2 - log(exp(I*d*x) + I*exp(-I*c))/2)/d + (-87*a**5*exp(5*I*c)*exp(5*I*d*x) - 136*a**5*exp(3*I*c)*exp(3*I*d*x) - 57*a**5*exp(I*c)*exp(I*d*x))/(-3*I*d*exp(6*I*c)*exp(6*I*d*x) - 9*I*d*exp(4*I*c)*exp(4*I*d*x) - 9*I*d*exp(2*I*c)*exp(2*I*d*x) - 3*I*d) + Piecewise((-16*I*a**5*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (16*a**5*x*exp(I*c), True))","A",0
72,1,151,0,0.536123," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**5,x)","- \frac{2 i a^{5} e^{i c} e^{i d x}}{- d e^{2 i c} e^{2 i d x} - d} + \frac{5 a^{5} \left(- \log{\left(e^{i d x} - i e^{- i c} \right)} + \log{\left(e^{i d x} + i e^{- i c} \right)}\right)}{d} + \begin{cases} \frac{- 4 i a^{5} d e^{3 i c} e^{3 i d x} + 24 i a^{5} d e^{i c} e^{i d x}}{3 d^{2}} & \text{for}\: 3 d^{2} \neq 0 \\x \left(4 a^{5} e^{3 i c} - 8 a^{5} e^{i c}\right) & \text{otherwise} \end{cases}"," ",0,"-2*I*a**5*exp(I*c)*exp(I*d*x)/(-d*exp(2*I*c)*exp(2*I*d*x) - d) + 5*a**5*(-log(exp(I*d*x) - I*exp(-I*c)) + log(exp(I*d*x) + I*exp(-I*c)))/d + Piecewise(((-4*I*a**5*d*exp(3*I*c)*exp(3*I*d*x) + 24*I*a**5*d*exp(I*c)*exp(I*d*x))/(3*d**2), Ne(3*d**2, 0)), (x*(4*a**5*exp(3*I*c) - 8*a**5*exp(I*c)), True))","A",0
73,1,37,0,0.385820," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} - \frac{i a^{5} e^{5 i c} e^{5 i d x}}{5 d} & \text{for}\: 5 d \neq 0 \\a^{5} x e^{5 i c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*a**5*exp(5*I*c)*exp(5*I*d*x)/(5*d), Ne(5*d, 0)), (a**5*x*exp(5*I*c), True))","A",0
74,1,122,0,0.615011," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} - \frac{120 i a^{5} d^{2} e^{7 i c} e^{7 i d x} + 336 i a^{5} d^{2} e^{5 i c} e^{5 i d x} + 280 i a^{5} d^{2} e^{3 i c} e^{3 i d x}}{3360 d^{3}} & \text{for}\: 3360 d^{3} \neq 0 \\x \left(\frac{a^{5} e^{7 i c}}{4} + \frac{a^{5} e^{5 i c}}{2} + \frac{a^{5} e^{3 i c}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(120*I*a**5*d**2*exp(7*I*c)*exp(7*I*d*x) + 336*I*a**5*d**2*exp(5*I*c)*exp(5*I*d*x) + 280*I*a**5*d**2*exp(3*I*c)*exp(3*I*d*x))/(3360*d**3), Ne(3360*d**3, 0)), (x*(a**5*exp(7*I*c)/4 + a**5*exp(5*I*c)/2 + a**5*exp(3*I*c)/4), True))","A",0
75,1,194,0,0.770024," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} - \frac{215040 i a^{5} d^{4} e^{9 i c} e^{9 i d x} + 1105920 i a^{5} d^{4} e^{7 i c} e^{7 i d x} + 2322432 i a^{5} d^{4} e^{5 i c} e^{5 i d x} + 2580480 i a^{5} d^{4} e^{3 i c} e^{3 i d x} + 1935360 i a^{5} d^{4} e^{i c} e^{i d x}}{30965760 d^{5}} & \text{for}\: 30965760 d^{5} \neq 0 \\x \left(\frac{a^{5} e^{9 i c}}{16} + \frac{a^{5} e^{7 i c}}{4} + \frac{3 a^{5} e^{5 i c}}{8} + \frac{a^{5} e^{3 i c}}{4} + \frac{a^{5} e^{i c}}{16}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(215040*I*a**5*d**4*exp(9*I*c)*exp(9*I*d*x) + 1105920*I*a**5*d**4*exp(7*I*c)*exp(7*I*d*x) + 2322432*I*a**5*d**4*exp(5*I*c)*exp(5*I*d*x) + 2580480*I*a**5*d**4*exp(3*I*c)*exp(3*I*d*x) + 1935360*I*a**5*d**4*exp(I*c)*exp(I*d*x))/(30965760*d**5), Ne(30965760*d**5, 0)), (x*(a**5*exp(9*I*c)/16 + a**5*exp(7*I*c)/4 + 3*a**5*exp(5*I*c)/8 + a**5*exp(3*I*c)/4 + a**5*exp(I*c)/16), True))","A",0
76,1,269,0,0.978827," ","integrate(cos(d*x+c)**11*(a+I*a*tan(d*x+c))**5,x)","\begin{cases} - \frac{\left(90194313216 i a^{5} d^{6} e^{12 i c} e^{11 i d x} + 661424963584 i a^{5} d^{6} e^{10 i c} e^{9 i d x} + 2126008811520 i a^{5} d^{6} e^{8 i c} e^{7 i d x} + 3968549781504 i a^{5} d^{6} e^{6 i c} e^{5 i d x} + 4960687226880 i a^{5} d^{6} e^{4 i c} e^{3 i d x} + 5952824672256 i a^{5} d^{6} e^{2 i c} e^{i d x} - 992137445376 i a^{5} d^{6} e^{- i d x}\right) e^{- i c}}{63496796504064 d^{7}} & \text{for}\: 63496796504064 d^{7} e^{i c} \neq 0 \\\frac{x \left(a^{5} e^{12 i c} + 6 a^{5} e^{10 i c} + 15 a^{5} e^{8 i c} + 20 a^{5} e^{6 i c} + 15 a^{5} e^{4 i c} + 6 a^{5} e^{2 i c} + a^{5}\right) e^{- i c}}{64} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(90194313216*I*a**5*d**6*exp(12*I*c)*exp(11*I*d*x) + 661424963584*I*a**5*d**6*exp(10*I*c)*exp(9*I*d*x) + 2126008811520*I*a**5*d**6*exp(8*I*c)*exp(7*I*d*x) + 3968549781504*I*a**5*d**6*exp(6*I*c)*exp(5*I*d*x) + 4960687226880*I*a**5*d**6*exp(4*I*c)*exp(3*I*d*x) + 5952824672256*I*a**5*d**6*exp(2*I*c)*exp(I*d*x) - 992137445376*I*a**5*d**6*exp(-I*d*x))*exp(-I*c)/(63496796504064*d**7), Ne(63496796504064*d**7*exp(I*c), 0)), (x*(a**5*exp(12*I*c) + 6*a**5*exp(10*I*c) + 15*a**5*exp(8*I*c) + 20*a**5*exp(6*I*c) + 15*a**5*exp(4*I*c) + 6*a**5*exp(2*I*c) + a**5)*exp(-I*c)/64, True))","A",0
77,-1,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**8,x)","a^{8} \left(\int \left(- 28 \tan^{2}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int 70 \tan^{4}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 28 \tan^{6}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \tan^{8}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int 8 i \tan{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 56 i \tan^{3}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int 56 i \tan^{5}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\, dx + \int \left(- 8 i \tan^{7}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}\right)\, dx + \int \sec^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a**8*(Integral(-28*tan(c + d*x)**2*sec(c + d*x)**6, x) + Integral(70*tan(c + d*x)**4*sec(c + d*x)**6, x) + Integral(-28*tan(c + d*x)**6*sec(c + d*x)**6, x) + Integral(tan(c + d*x)**8*sec(c + d*x)**6, x) + Integral(8*I*tan(c + d*x)*sec(c + d*x)**6, x) + Integral(-56*I*tan(c + d*x)**3*sec(c + d*x)**6, x) + Integral(56*I*tan(c + d*x)**5*sec(c + d*x)**6, x) + Integral(-8*I*tan(c + d*x)**7*sec(c + d*x)**6, x) + Integral(sec(c + d*x)**6, x))","F",0
79,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**8,x)","a^{8} \left(\int \left(- 28 \tan^{2}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int 70 \tan^{4}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 28 \tan^{6}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \tan^{8}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int 8 i \tan{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 56 i \tan^{3}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int 56 i \tan^{5}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\, dx + \int \left(- 8 i \tan^{7}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}\right)\, dx + \int \sec^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**8*(Integral(-28*tan(c + d*x)**2*sec(c + d*x)**4, x) + Integral(70*tan(c + d*x)**4*sec(c + d*x)**4, x) + Integral(-28*tan(c + d*x)**6*sec(c + d*x)**4, x) + Integral(tan(c + d*x)**8*sec(c + d*x)**4, x) + Integral(8*I*tan(c + d*x)*sec(c + d*x)**4, x) + Integral(-56*I*tan(c + d*x)**3*sec(c + d*x)**4, x) + Integral(56*I*tan(c + d*x)**5*sec(c + d*x)**4, x) + Integral(-8*I*tan(c + d*x)**7*sec(c + d*x)**4, x) + Integral(sec(c + d*x)**4, x))","F",0
80,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**8,x)","a^{8} \left(\int \left(- 28 \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int 70 \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 28 \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \tan^{8}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int 8 i \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 56 i \tan^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int 56 i \tan^{5}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\, dx + \int \left(- 8 i \tan^{7}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}\right)\, dx + \int \sec^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**8*(Integral(-28*tan(c + d*x)**2*sec(c + d*x)**2, x) + Integral(70*tan(c + d*x)**4*sec(c + d*x)**2, x) + Integral(-28*tan(c + d*x)**6*sec(c + d*x)**2, x) + Integral(tan(c + d*x)**8*sec(c + d*x)**2, x) + Integral(8*I*tan(c + d*x)*sec(c + d*x)**2, x) + Integral(-56*I*tan(c + d*x)**3*sec(c + d*x)**2, x) + Integral(56*I*tan(c + d*x)**5*sec(c + d*x)**2, x) + Integral(-8*I*tan(c + d*x)**7*sec(c + d*x)**2, x) + Integral(sec(c + d*x)**2, x))","F",0
81,1,301,0,0.816028," ","integrate((a+I*a*tan(d*x+c))**8,x)","- \frac{128 i a^{8} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{94080 i a^{8} e^{12 i c} e^{12 i d x} + 423360 i a^{8} e^{10 i c} e^{10 i d x} + 862400 i a^{8} e^{8 i c} e^{8 i d x} + 980000 i a^{8} e^{6 i c} e^{6 i d x} + 644448 i a^{8} e^{4 i c} e^{4 i d x} + 230496 i a^{8} e^{2 i c} e^{2 i d x} + 34848 i a^{8}}{- 105 d e^{14 i c} e^{14 i d x} - 735 d e^{12 i c} e^{12 i d x} - 2205 d e^{10 i c} e^{10 i d x} - 3675 d e^{8 i c} e^{8 i d x} - 3675 d e^{6 i c} e^{6 i d x} - 2205 d e^{4 i c} e^{4 i d x} - 735 d e^{2 i c} e^{2 i d x} - 105 d}"," ",0,"-128*I*a**8*log(exp(2*I*d*x) + exp(-2*I*c))/d + (94080*I*a**8*exp(12*I*c)*exp(12*I*d*x) + 423360*I*a**8*exp(10*I*c)*exp(10*I*d*x) + 862400*I*a**8*exp(8*I*c)*exp(8*I*d*x) + 980000*I*a**8*exp(6*I*c)*exp(6*I*d*x) + 644448*I*a**8*exp(4*I*c)*exp(4*I*d*x) + 230496*I*a**8*exp(2*I*c)*exp(2*I*d*x) + 34848*I*a**8)/(-105*d*exp(14*I*c)*exp(14*I*d*x) - 735*d*exp(12*I*c)*exp(12*I*d*x) - 2205*d*exp(10*I*c)*exp(10*I*d*x) - 3675*d*exp(8*I*c)*exp(8*I*d*x) - 3675*d*exp(6*I*c)*exp(6*I*d*x) - 2205*d*exp(4*I*c)*exp(4*I*d*x) - 735*d*exp(2*I*c)*exp(2*I*d*x) - 105*d)","A",0
82,1,257,0,0.776698," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**8,x)","\frac{192 i a^{8} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{2400 i a^{8} e^{8 i c} e^{8 i d x} + 8000 i a^{8} e^{6 i c} e^{6 i d x} + 10400 i a^{8} e^{4 i c} e^{4 i d x} + 6160 i a^{8} e^{2 i c} e^{2 i d x} + 1392 i a^{8}}{5 d e^{10 i c} e^{10 i d x} + 25 d e^{8 i c} e^{8 i d x} + 50 d e^{6 i c} e^{6 i d x} + 50 d e^{4 i c} e^{4 i d x} + 25 d e^{2 i c} e^{2 i d x} + 5 d} + \begin{cases} - \frac{32 i a^{8} e^{2 i c} e^{2 i d x}}{d} & \text{for}\: d \neq 0 \\64 a^{8} x e^{2 i c} & \text{otherwise} \end{cases}"," ",0,"192*I*a**8*log(exp(2*I*d*x) + exp(-2*I*c))/d + (2400*I*a**8*exp(8*I*c)*exp(8*I*d*x) + 8000*I*a**8*exp(6*I*c)*exp(6*I*d*x) + 10400*I*a**8*exp(4*I*c)*exp(4*I*d*x) + 6160*I*a**8*exp(2*I*c)*exp(2*I*d*x) + 1392*I*a**8)/(5*d*exp(10*I*c)*exp(10*I*d*x) + 25*d*exp(8*I*c)*exp(8*I*d*x) + 50*d*exp(6*I*c)*exp(6*I*d*x) + 50*d*exp(4*I*c)*exp(4*I*d*x) + 25*d*exp(2*I*c)*exp(2*I*d*x) + 5*d) + Piecewise((-32*I*a**8*exp(2*I*c)*exp(2*I*d*x)/d, Ne(d, 0)), (64*a**8*x*exp(2*I*c), True))","A",0
83,1,216,0,0.787682," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**8,x)","- \frac{80 i a^{8} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \frac{240 i a^{8} e^{4 i c} e^{4 i d x} + 420 i a^{8} e^{2 i c} e^{2 i d x} + 188 i a^{8}}{- 3 d e^{6 i c} e^{6 i d x} - 9 d e^{4 i c} e^{4 i d x} - 9 d e^{2 i c} e^{2 i d x} - 3 d} + \begin{cases} \frac{- 4 i a^{8} d e^{4 i c} e^{4 i d x} + 32 i a^{8} d e^{2 i c} e^{2 i d x}}{d^{2}} & \text{for}\: d^{2} \neq 0 \\x \left(16 a^{8} e^{4 i c} - 64 a^{8} e^{2 i c}\right) & \text{otherwise} \end{cases}"," ",0,"-80*I*a**8*log(exp(2*I*d*x) + exp(-2*I*c))/d + (240*I*a**8*exp(4*I*c)*exp(4*I*d*x) + 420*I*a**8*exp(2*I*c)*exp(2*I*d*x) + 188*I*a**8)/(-3*d*exp(6*I*c)*exp(6*I*d*x) - 9*d*exp(4*I*c)*exp(4*I*d*x) - 9*d*exp(2*I*c)*exp(2*I*d*x) - 3*d) + Piecewise(((-4*I*a**8*d*exp(4*I*c)*exp(4*I*d*x) + 32*I*a**8*d*exp(2*I*c)*exp(2*I*d*x))/d**2, Ne(d**2, 0)), (x*(16*a**8*exp(4*I*c) - 64*a**8*exp(2*I*c)), True))","A",0
84,1,177,0,0.842393," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**8,x)","- \frac{2 i a^{8}}{- d e^{2 i c} e^{2 i d x} - d} + \frac{8 i a^{8} \log{\left(e^{2 i d x} + e^{- 2 i c} \right)}}{d} + \begin{cases} - \frac{2 i a^{8} d^{2} e^{6 i c} e^{6 i d x} - 6 i a^{8} d^{2} e^{4 i c} e^{4 i d x} + 18 i a^{8} d^{2} e^{2 i c} e^{2 i d x}}{3 d^{3}} & \text{for}\: 3 d^{3} \neq 0 \\x \left(4 a^{8} e^{6 i c} - 8 a^{8} e^{4 i c} + 12 a^{8} e^{2 i c}\right) & \text{otherwise} \end{cases}"," ",0,"-2*I*a**8/(-d*exp(2*I*c)*exp(2*I*d*x) - d) + 8*I*a**8*log(exp(2*I*d*x) + exp(-2*I*c))/d + Piecewise((-(2*I*a**8*d**2*exp(6*I*c)*exp(6*I*d*x) - 6*I*a**8*d**2*exp(4*I*c)*exp(4*I*d*x) + 18*I*a**8*d**2*exp(2*I*c)*exp(2*I*d*x))/(3*d**3), Ne(3*d**3, 0)), (x*(4*a**8*exp(6*I*c) - 8*a**8*exp(4*I*c) + 12*a**8*exp(2*I*c)), True))","A",0
85,1,37,0,0.735982," ","integrate(cos(d*x+c)**8*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{i a^{8} e^{8 i c} e^{8 i d x}}{8 d} & \text{for}\: 8 d \neq 0 \\a^{8} x e^{8 i c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*a**8*exp(8*I*c)*exp(8*I*d*x)/(8*d), Ne(8*d, 0)), (a**8*x*exp(8*I*c), True))","A",0
86,1,122,0,0.996658," ","integrate(cos(d*x+c)**10*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{384 i a^{8} d^{2} e^{10 i c} e^{10 i d x} + 960 i a^{8} d^{2} e^{8 i c} e^{8 i d x} + 640 i a^{8} d^{2} e^{6 i c} e^{6 i d x}}{15360 d^{3}} & \text{for}\: 15360 d^{3} \neq 0 \\x \left(\frac{a^{8} e^{10 i c}}{4} + \frac{a^{8} e^{8 i c}}{2} + \frac{a^{8} e^{6 i c}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(384*I*a**8*d**2*exp(10*I*c)*exp(10*I*d*x) + 960*I*a**8*d**2*exp(8*I*c)*exp(8*I*d*x) + 640*I*a**8*d**2*exp(6*I*c)*exp(6*I*d*x))/(15360*d**3), Ne(15360*d**3, 0)), (x*(a**8*exp(10*I*c)/4 + a**8*exp(8*I*c)/2 + a**8*exp(6*I*c)/4), True))","A",0
87,1,199,0,1.175523," ","integrate(cos(d*x+c)**12*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{3932160 i a^{8} d^{4} e^{12 i c} e^{12 i d x} + 18874368 i a^{8} d^{4} e^{10 i c} e^{10 i d x} + 35389440 i a^{8} d^{4} e^{8 i c} e^{8 i d x} + 31457280 i a^{8} d^{4} e^{6 i c} e^{6 i d x} + 11796480 i a^{8} d^{4} e^{4 i c} e^{4 i d x}}{754974720 d^{5}} & \text{for}\: 754974720 d^{5} \neq 0 \\x \left(\frac{a^{8} e^{12 i c}}{16} + \frac{a^{8} e^{10 i c}}{4} + \frac{3 a^{8} e^{8 i c}}{8} + \frac{a^{8} e^{6 i c}}{4} + \frac{a^{8} e^{4 i c}}{16}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(3932160*I*a**8*d**4*exp(12*I*c)*exp(12*I*d*x) + 18874368*I*a**8*d**4*exp(10*I*c)*exp(10*I*d*x) + 35389440*I*a**8*d**4*exp(8*I*c)*exp(8*I*d*x) + 31457280*I*a**8*d**4*exp(6*I*c)*exp(6*I*d*x) + 11796480*I*a**8*d**4*exp(4*I*c)*exp(4*I*d*x))/(754974720*d**5), Ne(754974720*d**5, 0)), (x*(a**8*exp(12*I*c)/16 + a**8*exp(10*I*c)/4 + 3*a**8*exp(8*I*c)/8 + a**8*exp(6*I*c)/4 + a**8*exp(4*I*c)/16), True))","A",0
88,1,280,0,1.379061," ","integrate(cos(d*x+c)**14*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{4398046511104 i a^{8} d^{6} e^{14 i c} e^{14 i d x} + 30786325577728 i a^{8} d^{6} e^{12 i c} e^{12 i d x} + 92358976733184 i a^{8} d^{6} e^{10 i c} e^{10 i d x} + 153931627888640 i a^{8} d^{6} e^{8 i c} e^{8 i d x} + 153931627888640 i a^{8} d^{6} e^{6 i c} e^{6 i d x} + 92358976733184 i a^{8} d^{6} e^{4 i c} e^{4 i d x} + 30786325577728 i a^{8} d^{6} e^{2 i c} e^{2 i d x}}{3940649673949184 d^{7}} & \text{for}\: 3940649673949184 d^{7} \neq 0 \\x \left(\frac{a^{8} e^{14 i c}}{64} + \frac{3 a^{8} e^{12 i c}}{32} + \frac{15 a^{8} e^{10 i c}}{64} + \frac{5 a^{8} e^{8 i c}}{16} + \frac{15 a^{8} e^{6 i c}}{64} + \frac{3 a^{8} e^{4 i c}}{32} + \frac{a^{8} e^{2 i c}}{64}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(4398046511104*I*a**8*d**6*exp(14*I*c)*exp(14*I*d*x) + 30786325577728*I*a**8*d**6*exp(12*I*c)*exp(12*I*d*x) + 92358976733184*I*a**8*d**6*exp(10*I*c)*exp(10*I*d*x) + 153931627888640*I*a**8*d**6*exp(8*I*c)*exp(8*I*d*x) + 153931627888640*I*a**8*d**6*exp(6*I*c)*exp(6*I*d*x) + 92358976733184*I*a**8*d**6*exp(4*I*c)*exp(4*I*d*x) + 30786325577728*I*a**8*d**6*exp(2*I*c)*exp(2*I*d*x))/(3940649673949184*d**7), Ne(3940649673949184*d**7, 0)), (x*(a**8*exp(14*I*c)/64 + 3*a**8*exp(12*I*c)/32 + 15*a**8*exp(10*I*c)/64 + 5*a**8*exp(8*I*c)/16 + 15*a**8*exp(6*I*c)/64 + 3*a**8*exp(4*I*c)/32 + a**8*exp(2*I*c)/64), True))","B",0
89,1,325,0,1.534092," ","integrate(cos(d*x+c)**16*(a+I*a*tan(d*x+c))**8,x)","\frac{a^{8} x}{256} + \begin{cases} \frac{- 354658470655426560 i a^{8} d^{7} e^{16 i c} e^{16 i d x} - 3242591731706757120 i a^{8} d^{7} e^{14 i c} e^{14 i d x} - 13240582904469258240 i a^{8} d^{7} e^{12 i c} e^{12 i d x} - 31777398970726219776 i a^{8} d^{7} e^{10 i c} e^{10 i d x} - 49652185891759718400 i a^{8} d^{7} e^{8 i c} e^{8 i d x} - 52962331617877032960 i a^{8} d^{7} e^{6 i c} e^{6 i d x} - 39721748713407774720 i a^{8} d^{7} e^{4 i c} e^{4 i d x} - 22698142121947299840 i a^{8} d^{7} e^{2 i c} e^{2 i d x}}{1452681095804627189760 d^{8}} & \text{for}\: 1452681095804627189760 d^{8} \neq 0 \\x \left(\frac{a^{8} e^{16 i c}}{256} + \frac{a^{8} e^{14 i c}}{32} + \frac{7 a^{8} e^{12 i c}}{64} + \frac{7 a^{8} e^{10 i c}}{32} + \frac{35 a^{8} e^{8 i c}}{128} + \frac{7 a^{8} e^{6 i c}}{32} + \frac{7 a^{8} e^{4 i c}}{64} + \frac{a^{8} e^{2 i c}}{32}\right) & \text{otherwise} \end{cases}"," ",0,"a**8*x/256 + Piecewise(((-354658470655426560*I*a**8*d**7*exp(16*I*c)*exp(16*I*d*x) - 3242591731706757120*I*a**8*d**7*exp(14*I*c)*exp(14*I*d*x) - 13240582904469258240*I*a**8*d**7*exp(12*I*c)*exp(12*I*d*x) - 31777398970726219776*I*a**8*d**7*exp(10*I*c)*exp(10*I*d*x) - 49652185891759718400*I*a**8*d**7*exp(8*I*c)*exp(8*I*d*x) - 52962331617877032960*I*a**8*d**7*exp(6*I*c)*exp(6*I*d*x) - 39721748713407774720*I*a**8*d**7*exp(4*I*c)*exp(4*I*d*x) - 22698142121947299840*I*a**8*d**7*exp(2*I*c)*exp(2*I*d*x))/(1452681095804627189760*d**8), Ne(1452681095804627189760*d**8, 0)), (x*(a**8*exp(16*I*c)/256 + a**8*exp(14*I*c)/32 + 7*a**8*exp(12*I*c)/64 + 7*a**8*exp(10*I*c)/32 + 35*a**8*exp(8*I*c)/128 + 7*a**8*exp(6*I*c)/32 + 7*a**8*exp(4*I*c)/64 + a**8*exp(2*I*c)/32), True))","A",0
90,1,415,0,1.799970," ","integrate(cos(d*x+c)**18*(a+I*a*tan(d*x+c))**8,x)","\frac{5 a^{8} x}{512} + \begin{cases} \frac{\left(- 277298568799925181577403826176 i a^{8} d^{9} e^{20 i c} e^{18 i d x} - 3119608898999158292745793044480 i a^{8} d^{9} e^{18 i c} e^{16 i d x} - 16043702909138528362692649943040 i a^{8} d^{9} e^{16 i c} e^{14 i d x} - 49913742383986532683932688711680 i a^{8} d^{9} e^{14 i c} e^{12 i d x} - 104818859006371718636258646294528 i a^{8} d^{9} e^{12 i c} e^{10 i d x} - 157228288509557577954387969441792 i a^{8} d^{9} e^{10 i c} e^{8 i d x} - 174698098343952864393764410490880 i a^{8} d^{9} e^{8 i c} e^{6 i d x} - 149741227151959598051798066135040 i a^{8} d^{9} e^{6 i c} e^{4 i d x} - 112305920363969698538848549601280 i a^{8} d^{9} e^{4 i c} e^{2 i d x} + 2495687119199326634196634435584 i a^{8} d^{9} e^{- 2 i d x}\right) e^{- 2 i c}}{5111167220120220946834707324076032 d^{10}} & \text{for}\: 5111167220120220946834707324076032 d^{10} e^{2 i c} \neq 0 \\x \left(- \frac{5 a^{8}}{512} + \frac{\left(a^{8} e^{20 i c} + 10 a^{8} e^{18 i c} + 45 a^{8} e^{16 i c} + 120 a^{8} e^{14 i c} + 210 a^{8} e^{12 i c} + 252 a^{8} e^{10 i c} + 210 a^{8} e^{8 i c} + 120 a^{8} e^{6 i c} + 45 a^{8} e^{4 i c} + 10 a^{8} e^{2 i c} + a^{8}\right) e^{- 2 i c}}{1024}\right) & \text{otherwise} \end{cases}"," ",0,"5*a**8*x/512 + Piecewise(((-277298568799925181577403826176*I*a**8*d**9*exp(20*I*c)*exp(18*I*d*x) - 3119608898999158292745793044480*I*a**8*d**9*exp(18*I*c)*exp(16*I*d*x) - 16043702909138528362692649943040*I*a**8*d**9*exp(16*I*c)*exp(14*I*d*x) - 49913742383986532683932688711680*I*a**8*d**9*exp(14*I*c)*exp(12*I*d*x) - 104818859006371718636258646294528*I*a**8*d**9*exp(12*I*c)*exp(10*I*d*x) - 157228288509557577954387969441792*I*a**8*d**9*exp(10*I*c)*exp(8*I*d*x) - 174698098343952864393764410490880*I*a**8*d**9*exp(8*I*c)*exp(6*I*d*x) - 149741227151959598051798066135040*I*a**8*d**9*exp(6*I*c)*exp(4*I*d*x) - 112305920363969698538848549601280*I*a**8*d**9*exp(4*I*c)*exp(2*I*d*x) + 2495687119199326634196634435584*I*a**8*d**9*exp(-2*I*d*x))*exp(-2*I*c)/(5111167220120220946834707324076032*d**10), Ne(5111167220120220946834707324076032*d**10*exp(2*I*c), 0)), (x*(-5*a**8/512 + (a**8*exp(20*I*c) + 10*a**8*exp(18*I*c) + 45*a**8*exp(16*I*c) + 120*a**8*exp(14*I*c) + 210*a**8*exp(12*I*c) + 252*a**8*exp(10*I*c) + 210*a**8*exp(8*I*c) + 120*a**8*exp(6*I*c) + 45*a**8*exp(4*I*c) + 10*a**8*exp(2*I*c) + a**8)*exp(-2*I*c)/1024), True))","A",0
91,1,320,0,0.935862," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**8,x)","\frac{3003 a^{8} \left(\frac{\log{\left(e^{i d x} - i e^{- i c} \right)}}{16} - \frac{\log{\left(e^{i d x} + i e^{- i c} \right)}}{16}\right)}{d} + \frac{62475 i a^{8} e^{11 i c} e^{11 i d x} + 246505 i a^{8} e^{9 i c} e^{9 i d x} + 416094 i a^{8} e^{7 i c} e^{7 i d x} + 364194 i a^{8} e^{5 i c} e^{5 i d x} + 163095 i a^{8} e^{3 i c} e^{3 i d x} + 29685 i a^{8} e^{i c} e^{i d x}}{- 120 d e^{12 i c} e^{12 i d x} - 720 d e^{10 i c} e^{10 i d x} - 1800 d e^{8 i c} e^{8 i d x} - 2400 d e^{6 i c} e^{6 i d x} - 1800 d e^{4 i c} e^{4 i d x} - 720 d e^{2 i c} e^{2 i d x} - 120 d} + \begin{cases} - \frac{128 i a^{8} e^{i c} e^{i d x}}{d} & \text{for}\: d \neq 0 \\128 a^{8} x e^{i c} & \text{otherwise} \end{cases}"," ",0,"3003*a**8*(log(exp(I*d*x) - I*exp(-I*c))/16 - log(exp(I*d*x) + I*exp(-I*c))/16)/d + (62475*I*a**8*exp(11*I*c)*exp(11*I*d*x) + 246505*I*a**8*exp(9*I*c)*exp(9*I*d*x) + 416094*I*a**8*exp(7*I*c)*exp(7*I*d*x) + 364194*I*a**8*exp(5*I*c)*exp(5*I*d*x) + 163095*I*a**8*exp(3*I*c)*exp(3*I*d*x) + 29685*I*a**8*exp(I*c)*exp(I*d*x))/(-120*d*exp(12*I*c)*exp(12*I*d*x) - 720*d*exp(10*I*c)*exp(10*I*d*x) - 1800*d*exp(8*I*c)*exp(8*I*d*x) - 2400*d*exp(6*I*c)*exp(6*I*d*x) - 1800*d*exp(4*I*c)*exp(4*I*d*x) - 720*d*exp(2*I*c)*exp(2*I*d*x) - 120*d) + Piecewise((-128*I*a**8*exp(I*c)*exp(I*d*x)/d, Ne(d, 0)), (128*a**8*x*exp(I*c), True))","A",0
92,1,282,0,0.910411," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**8,x)","\frac{1155 a^{8} \left(- \frac{\log{\left(e^{i d x} - i e^{- i c} \right)}}{8} + \frac{\log{\left(e^{i d x} + i e^{- i c} \right)}}{8}\right)}{d} + \frac{- 2295 i a^{8} e^{7 i c} e^{7 i d x} - 5855 i a^{8} e^{5 i c} e^{5 i d x} - 5153 i a^{8} e^{3 i c} e^{3 i d x} - 1545 i a^{8} e^{i c} e^{i d x}}{- 12 d e^{8 i c} e^{8 i d x} - 48 d e^{6 i c} e^{6 i d x} - 72 d e^{4 i c} e^{4 i d x} - 48 d e^{2 i c} e^{2 i d x} - 12 d} + \begin{cases} \frac{- 32 i a^{8} d e^{3 i c} e^{3 i d x} + 480 i a^{8} d e^{i c} e^{i d x}}{3 d^{2}} & \text{for}\: 3 d^{2} \neq 0 \\x \left(32 a^{8} e^{3 i c} - 160 a^{8} e^{i c}\right) & \text{otherwise} \end{cases}"," ",0,"1155*a**8*(-log(exp(I*d*x) - I*exp(-I*c))/8 + log(exp(I*d*x) + I*exp(-I*c))/8)/d + (-2295*I*a**8*exp(7*I*c)*exp(7*I*d*x) - 5855*I*a**8*exp(5*I*c)*exp(5*I*d*x) - 5153*I*a**8*exp(3*I*c)*exp(3*I*d*x) - 1545*I*a**8*exp(I*c)*exp(I*d*x))/(-12*d*exp(8*I*c)*exp(8*I*d*x) - 48*d*exp(6*I*c)*exp(6*I*d*x) - 72*d*exp(4*I*c)*exp(4*I*d*x) - 48*d*exp(2*I*c)*exp(2*I*d*x) - 12*d) + Piecewise(((-32*I*a**8*d*exp(3*I*c)*exp(3*I*d*x) + 480*I*a**8*d*exp(I*c)*exp(I*d*x))/(3*d**2), Ne(3*d**2, 0)), (x*(32*a**8*exp(3*I*c) - 160*a**8*exp(I*c)), True))","A",0
93,1,238,0,0.924534," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**8,x)","\frac{63 a^{8} \left(\frac{\log{\left(e^{i d x} - i e^{- i c} \right)}}{2} - \frac{\log{\left(e^{i d x} + i e^{- i c} \right)}}{2}\right)}{d} + \frac{17 i a^{8} e^{3 i c} e^{3 i d x} + 15 i a^{8} e^{i c} e^{i d x}}{- d e^{4 i c} e^{4 i d x} - 2 d e^{2 i c} e^{2 i d x} - d} + \begin{cases} - \frac{8 i a^{8} d^{2} e^{5 i c} e^{5 i d x} - 40 i a^{8} d^{2} e^{3 i c} e^{3 i d x} + 240 i a^{8} d^{2} e^{i c} e^{i d x}}{5 d^{3}} & \text{for}\: 5 d^{3} \neq 0 \\x \left(8 a^{8} e^{5 i c} - 24 a^{8} e^{3 i c} + 48 a^{8} e^{i c}\right) & \text{otherwise} \end{cases}"," ",0,"63*a**8*(log(exp(I*d*x) - I*exp(-I*c))/2 - log(exp(I*d*x) + I*exp(-I*c))/2)/d + (17*I*a**8*exp(3*I*c)*exp(3*I*d*x) + 15*I*a**8*exp(I*c)*exp(I*d*x))/(-d*exp(4*I*c)*exp(4*I*d*x) - 2*d*exp(2*I*c)*exp(2*I*d*x) - d) + Piecewise((-(8*I*a**8*d**2*exp(5*I*c)*exp(5*I*d*x) - 40*I*a**8*d**2*exp(3*I*c)*exp(3*I*d*x) + 240*I*a**8*d**2*exp(I*c)*exp(I*d*x))/(5*d**3), Ne(5*d**3, 0)), (x*(8*a**8*exp(5*I*c) - 24*a**8*exp(3*I*c) + 48*a**8*exp(I*c)), True))","A",0
94,1,189,0,1.014255," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**8,x)","\frac{a^{8} \left(- \log{\left(e^{i d x} - i e^{- i c} \right)} + \log{\left(e^{i d x} + i e^{- i c} \right)}\right)}{d} + \begin{cases} \frac{- 30 i a^{8} d^{3} e^{7 i c} e^{7 i d x} + 42 i a^{8} d^{3} e^{5 i c} e^{5 i d x} - 70 i a^{8} d^{3} e^{3 i c} e^{3 i d x} + 210 i a^{8} d^{3} e^{i c} e^{i d x}}{105 d^{4}} & \text{for}\: 105 d^{4} \neq 0 \\x \left(2 a^{8} e^{7 i c} - 2 a^{8} e^{5 i c} + 2 a^{8} e^{3 i c} - 2 a^{8} e^{i c}\right) & \text{otherwise} \end{cases}"," ",0,"a**8*(-log(exp(I*d*x) - I*exp(-I*c)) + log(exp(I*d*x) + I*exp(-I*c)))/d + Piecewise(((-30*I*a**8*d**3*exp(7*I*c)*exp(7*I*d*x) + 42*I*a**8*d**3*exp(5*I*c)*exp(5*I*d*x) - 70*I*a**8*d**3*exp(3*I*c)*exp(3*I*d*x) + 210*I*a**8*d**3*exp(I*c)*exp(I*d*x))/(105*d**4), Ne(105*d**4, 0)), (x*(2*a**8*exp(7*I*c) - 2*a**8*exp(5*I*c) + 2*a**8*exp(3*I*c) - 2*a**8*exp(I*c)), True))","A",0
95,1,82,0,0.974599," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{- 14 i a^{8} d e^{9 i c} e^{9 i d x} - 18 i a^{8} d e^{7 i c} e^{7 i d x}}{252 d^{2}} & \text{for}\: 252 d^{2} \neq 0 \\x \left(\frac{a^{8} e^{9 i c}}{2} + \frac{a^{8} e^{7 i c}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-14*I*a**8*d*exp(9*I*c)*exp(9*I*d*x) - 18*I*a**8*d*exp(7*I*c)*exp(7*I*d*x))/(252*d**2), Ne(252*d**2, 0)), (x*(a**8*exp(9*I*c)/2 + a**8*exp(7*I*c)/2), True))","A",0
96,1,163,0,1.181391," ","integrate(cos(d*x+c)**11*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{- 53760 i a^{8} d^{3} e^{11 i c} e^{11 i d x} - 197120 i a^{8} d^{3} e^{9 i c} e^{9 i d x} - 253440 i a^{8} d^{3} e^{7 i c} e^{7 i d x} - 118272 i a^{8} d^{3} e^{5 i c} e^{5 i d x}}{4730880 d^{4}} & \text{for}\: 4730880 d^{4} \neq 0 \\x \left(\frac{a^{8} e^{11 i c}}{8} + \frac{3 a^{8} e^{9 i c}}{8} + \frac{3 a^{8} e^{7 i c}}{8} + \frac{a^{8} e^{5 i c}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-53760*I*a**8*d**3*exp(11*I*c)*exp(11*I*d*x) - 197120*I*a**8*d**3*exp(9*I*c)*exp(9*I*d*x) - 253440*I*a**8*d**3*exp(7*I*c)*exp(7*I*d*x) - 118272*I*a**8*d**3*exp(5*I*c)*exp(5*I*d*x))/(4730880*d**4), Ne(4730880*d**4, 0)), (x*(a**8*exp(11*I*c)/8 + 3*a**8*exp(9*I*c)/8 + 3*a**8*exp(7*I*c)/8 + a**8*exp(5*I*c)/8), True))","A",0
97,1,241,0,1.397501," ","integrate(cos(d*x+c)**13*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{- 17439916032 i a^{8} d^{5} e^{13 i c} e^{13 i d x} - 103054049280 i a^{8} d^{5} e^{11 i c} e^{11 i d x} - 251909898240 i a^{8} d^{5} e^{9 i c} e^{9 i d x} - 323884154880 i a^{8} d^{5} e^{7 i c} e^{7 i d x} - 226718908416 i a^{8} d^{5} e^{5 i c} e^{5 i d x} - 75572969472 i a^{8} d^{5} e^{3 i c} e^{3 i d x}}{7255005069312 d^{6}} & \text{for}\: 7255005069312 d^{6} \neq 0 \\x \left(\frac{a^{8} e^{13 i c}}{32} + \frac{5 a^{8} e^{11 i c}}{32} + \frac{5 a^{8} e^{9 i c}}{16} + \frac{5 a^{8} e^{7 i c}}{16} + \frac{5 a^{8} e^{5 i c}}{32} + \frac{a^{8} e^{3 i c}}{32}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-17439916032*I*a**8*d**5*exp(13*I*c)*exp(13*I*d*x) - 103054049280*I*a**8*d**5*exp(11*I*c)*exp(11*I*d*x) - 251909898240*I*a**8*d**5*exp(9*I*c)*exp(9*I*d*x) - 323884154880*I*a**8*d**5*exp(7*I*c)*exp(7*I*d*x) - 226718908416*I*a**8*d**5*exp(5*I*c)*exp(5*I*d*x) - 75572969472*I*a**8*d**5*exp(3*I*c)*exp(3*I*d*x))/(7255005069312*d**6), Ne(7255005069312*d**6, 0)), (x*(a**8*exp(13*I*c)/32 + 5*a**8*exp(11*I*c)/32 + 5*a**8*exp(9*I*c)/16 + 5*a**8*exp(7*I*c)/16 + 5*a**8*exp(5*I*c)/32 + a**8*exp(3*I*c)/32), True))","A",0
98,1,314,0,1.630486," ","integrate(cos(d*x+c)**15*(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{- 10867748850798428160 i a^{8} d^{7} e^{15 i c} e^{15 i d x} - 87777971487218073600 i a^{8} d^{7} e^{13 i c} e^{13 i d x} - 311212808000136806400 i a^{8} d^{7} e^{11 i c} e^{11 i d x} - 633952016296574976000 i a^{8} d^{7} e^{9 i c} e^{9 i d x} - 815081163809882112000 i a^{8} d^{7} e^{7 i c} e^{7 i d x} - 684668177600300974080 i a^{8} d^{7} e^{5 i c} e^{5 i d x} - 380371209777944985600 i a^{8} d^{7} e^{3 i c} e^{3 i d x} - 163016232761976422400 i a^{8} d^{7} e^{i c} e^{i d x}}{20866077793532982067200 d^{8}} & \text{for}\: 20866077793532982067200 d^{8} \neq 0 \\x \left(\frac{a^{8} e^{15 i c}}{128} + \frac{7 a^{8} e^{13 i c}}{128} + \frac{21 a^{8} e^{11 i c}}{128} + \frac{35 a^{8} e^{9 i c}}{128} + \frac{35 a^{8} e^{7 i c}}{128} + \frac{21 a^{8} e^{5 i c}}{128} + \frac{7 a^{8} e^{3 i c}}{128} + \frac{a^{8} e^{i c}}{128}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-10867748850798428160*I*a**8*d**7*exp(15*I*c)*exp(15*I*d*x) - 87777971487218073600*I*a**8*d**7*exp(13*I*c)*exp(13*I*d*x) - 311212808000136806400*I*a**8*d**7*exp(11*I*c)*exp(11*I*d*x) - 633952016296574976000*I*a**8*d**7*exp(9*I*c)*exp(9*I*d*x) - 815081163809882112000*I*a**8*d**7*exp(7*I*c)*exp(7*I*d*x) - 684668177600300974080*I*a**8*d**7*exp(5*I*c)*exp(5*I*d*x) - 380371209777944985600*I*a**8*d**7*exp(3*I*c)*exp(3*I*d*x) - 163016232761976422400*I*a**8*d**7*exp(I*c)*exp(I*d*x))/(20866077793532982067200*d**8), Ne(20866077793532982067200*d**8, 0)), (x*(a**8*exp(15*I*c)/128 + 7*a**8*exp(13*I*c)/128 + 21*a**8*exp(11*I*c)/128 + 35*a**8*exp(9*I*c)/128 + 35*a**8*exp(7*I*c)/128 + 21*a**8*exp(5*I*c)/128 + 7*a**8*exp(3*I*c)/128 + a**8*exp(I*c)/128), True))","A",0
99,0,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{10}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**10/(tan(c + d*x) - I), x)/a","F",0
100,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{8}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**8/(tan(c + d*x) - I), x)/a","F",0
101,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{6}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**6/(tan(c + d*x) - I), x)/a","F",0
102,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{4}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**4/(tan(c + d*x) - I), x)/a","F",0
103,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{2}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**2/(tan(c + d*x) - I), x)/a","F",0
104,1,61,0,0.153003," ","integrate(1/(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{i e^{- 2 i c} e^{- 2 i d x}}{4 a d} & \text{for}\: 4 a d e^{2 i c} \neq 0 \\x \left(\frac{\left(e^{2 i c} + 1\right) e^{- 2 i c}}{2 a} - \frac{1}{2 a}\right) & \text{otherwise} \end{cases} + \frac{x}{2 a}"," ",0,"Piecewise((I*exp(-2*I*c)*exp(-2*I*d*x)/(4*a*d), Ne(4*a*d*exp(2*I*c), 0)), (x*((exp(2*I*c) + 1)*exp(-2*I*c)/(2*a) - 1/(2*a)), True)) + x/(2*a)","A",0
105,1,155,0,0.301946," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(512 i a^{2} d^{2} e^{8 i c} e^{2 i d x} - 1536 i a^{2} d^{2} e^{4 i c} e^{- 2 i d x} - 256 i a^{2} d^{2} e^{2 i c} e^{- 4 i d x}\right) e^{- 6 i c}}{8192 a^{3} d^{3}} & \text{for}\: 8192 a^{3} d^{3} e^{6 i c} \neq 0 \\x \left(\frac{\left(e^{6 i c} + 3 e^{4 i c} + 3 e^{2 i c} + 1\right) e^{- 4 i c}}{8 a} - \frac{3}{8 a}\right) & \text{otherwise} \end{cases} + \frac{3 x}{8 a}"," ",0,"Piecewise((-(512*I*a**2*d**2*exp(8*I*c)*exp(2*I*d*x) - 1536*I*a**2*d**2*exp(4*I*c)*exp(-2*I*d*x) - 256*I*a**2*d**2*exp(2*I*c)*exp(-4*I*d*x))*exp(-6*I*c)/(8192*a**3*d**3), Ne(8192*a**3*d**3*exp(6*I*c), 0)), (x*((exp(6*I*c) + 3*exp(4*I*c) + 3*exp(2*I*c) + 1)*exp(-4*I*c)/(8*a) - 3/(8*a)), True)) + 3*x/(8*a)","A",0
106,1,223,0,0.426237," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(50331648 i a^{4} d^{4} e^{16 i c} e^{4 i d x} + 503316480 i a^{4} d^{4} e^{14 i c} e^{2 i d x} - 1006632960 i a^{4} d^{4} e^{10 i c} e^{- 2 i d x} - 251658240 i a^{4} d^{4} e^{8 i c} e^{- 4 i d x} - 33554432 i a^{4} d^{4} e^{6 i c} e^{- 6 i d x}\right) e^{- 12 i c}}{6442450944 a^{5} d^{5}} & \text{for}\: 6442450944 a^{5} d^{5} e^{12 i c} \neq 0 \\x \left(\frac{\left(e^{10 i c} + 5 e^{8 i c} + 10 e^{6 i c} + 10 e^{4 i c} + 5 e^{2 i c} + 1\right) e^{- 6 i c}}{32 a} - \frac{5}{16 a}\right) & \text{otherwise} \end{cases} + \frac{5 x}{16 a}"," ",0,"Piecewise((-(50331648*I*a**4*d**4*exp(16*I*c)*exp(4*I*d*x) + 503316480*I*a**4*d**4*exp(14*I*c)*exp(2*I*d*x) - 1006632960*I*a**4*d**4*exp(10*I*c)*exp(-2*I*d*x) - 251658240*I*a**4*d**4*exp(8*I*c)*exp(-4*I*d*x) - 33554432*I*a**4*d**4*exp(6*I*c)*exp(-6*I*d*x))*exp(-12*I*c)/(6442450944*a**5*d**5), Ne(6442450944*a**5*d**5*exp(12*I*c), 0)), (x*((exp(10*I*c) + 5*exp(8*I*c) + 10*exp(6*I*c) + 10*exp(4*I*c) + 5*exp(2*I*c) + 1)*exp(-6*I*c)/(32*a) - 5/(16*a)), True)) + 5*x/(16*a)","A",0
107,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{7}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**7/(tan(c + d*x) - I), x)/a","F",0
108,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{5}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**5/(tan(c + d*x) - I), x)/a","F",0
109,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sec^{3}{\left(c + d x \right)}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sec(c + d*x)**3/(tan(c + d*x) - I), x)/a","F",0
110,1,34,0,0.643954," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c)),x)","\begin{cases} \frac{\sec{\left(c + d x \right)}}{a d \tan{\left(c + d x \right)} - i a d} & \text{for}\: d \neq 0 \\\frac{x \sec{\left(c \right)}}{i a \tan{\left(c \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sec(c + d*x)/(a*d*tan(c + d*x) - I*a*d), Ne(d, 0)), (x*sec(c)/(I*a*tan(c) + a), True))","A",0
111,1,129,0,0.295232," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(24 i a^{2} d^{2} e^{5 i c} e^{i d x} - 48 i a^{2} d^{2} e^{3 i c} e^{- i d x} - 8 i a^{2} d^{2} e^{i c} e^{- 3 i d x}\right) e^{- 4 i c}}{96 a^{3} d^{3}} & \text{for}\: 96 a^{3} d^{3} e^{4 i c} \neq 0 \\\frac{x \left(e^{4 i c} + 2 e^{2 i c} + 1\right) e^{- 3 i c}}{4 a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(24*I*a**2*d**2*exp(5*I*c)*exp(I*d*x) - 48*I*a**2*d**2*exp(3*I*c)*exp(-I*d*x) - 8*I*a**2*d**2*exp(I*c)*exp(-3*I*d*x))*exp(-4*I*c)/(96*a**3*d**3), Ne(96*a**3*d**3*exp(4*I*c), 0)), (x*(exp(4*I*c) + 2*exp(2*I*c) + 1)*exp(-3*I*c)/(4*a), True))","A",0
112,1,199,0,0.466096," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(30720 i a^{4} d^{4} e^{12 i c} e^{3 i d x} + 368640 i a^{4} d^{4} e^{10 i c} e^{i d x} - 552960 i a^{4} d^{4} e^{8 i c} e^{- i d x} - 122880 i a^{4} d^{4} e^{6 i c} e^{- 3 i d x} - 18432 i a^{4} d^{4} e^{4 i c} e^{- 5 i d x}\right) e^{- 9 i c}}{1474560 a^{5} d^{5}} & \text{for}\: 1474560 a^{5} d^{5} e^{9 i c} \neq 0 \\\frac{x \left(e^{8 i c} + 4 e^{6 i c} + 6 e^{4 i c} + 4 e^{2 i c} + 1\right) e^{- 5 i c}}{16 a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(30720*I*a**4*d**4*exp(12*I*c)*exp(3*I*d*x) + 368640*I*a**4*d**4*exp(10*I*c)*exp(I*d*x) - 552960*I*a**4*d**4*exp(8*I*c)*exp(-I*d*x) - 122880*I*a**4*d**4*exp(6*I*c)*exp(-3*I*d*x) - 18432*I*a**4*d**4*exp(4*I*c)*exp(-5*I*d*x))*exp(-9*I*c)/(1474560*a**5*d**5), Ne(1474560*a**5*d**5*exp(9*I*c), 0)), (x*(exp(8*I*c) + 4*exp(6*I*c) + 6*exp(4*I*c) + 4*exp(2*I*c) + 1)*exp(-5*I*c)/(16*a), True))","A",0
113,1,267,0,0.635903," ","integrate(cos(d*x+c)**5/(a+I*a*tan(d*x+c)),x)","\begin{cases} - \frac{\left(150323855360 i a^{6} d^{6} e^{21 i c} e^{5 i d x} + 1503238553600 i a^{6} d^{6} e^{19 i c} e^{3 i d x} + 11274289152000 i a^{6} d^{6} e^{17 i c} e^{i d x} - 15032385536000 i a^{6} d^{6} e^{15 i c} e^{- i d x} - 3758096384000 i a^{6} d^{6} e^{13 i c} e^{- 3 i d x} - 901943132160 i a^{6} d^{6} e^{11 i c} e^{- 5 i d x} - 107374182400 i a^{6} d^{6} e^{9 i c} e^{- 7 i d x}\right) e^{- 16 i c}}{48103633715200 a^{7} d^{7}} & \text{for}\: 48103633715200 a^{7} d^{7} e^{16 i c} \neq 0 \\\frac{x \left(e^{12 i c} + 6 e^{10 i c} + 15 e^{8 i c} + 20 e^{6 i c} + 15 e^{4 i c} + 6 e^{2 i c} + 1\right) e^{- 7 i c}}{64 a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(150323855360*I*a**6*d**6*exp(21*I*c)*exp(5*I*d*x) + 1503238553600*I*a**6*d**6*exp(19*I*c)*exp(3*I*d*x) + 11274289152000*I*a**6*d**6*exp(17*I*c)*exp(I*d*x) - 15032385536000*I*a**6*d**6*exp(15*I*c)*exp(-I*d*x) - 3758096384000*I*a**6*d**6*exp(13*I*c)*exp(-3*I*d*x) - 901943132160*I*a**6*d**6*exp(11*I*c)*exp(-5*I*d*x) - 107374182400*I*a**6*d**6*exp(9*I*c)*exp(-7*I*d*x))*exp(-16*I*c)/(48103633715200*a**7*d**7), Ne(48103633715200*a**7*d**7*exp(16*I*c), 0)), (x*(exp(12*I*c) + 6*exp(10*I*c) + 15*exp(8*I*c) + 20*exp(6*I*c) + 15*exp(4*I*c) + 6*exp(2*I*c) + 1)*exp(-7*I*c)/(64*a), True))","A",0
114,0,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{10}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**10/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
115,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{8}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**8/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
116,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{6}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**6/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
117,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{4}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**4/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
118,1,65,0,1.181962," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} - \frac{i \sec^{2}{\left(c + d x \right)}}{2 a^{2} d \tan^{2}{\left(c + d x \right)} - 4 i a^{2} d \tan{\left(c + d x \right)} - 2 a^{2} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{2}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*sec(c + d*x)**2/(2*a**2*d*tan(c + d*x)**2 - 4*I*a**2*d*tan(c + d*x) - 2*a**2*d), Ne(d, 0)), (x*sec(c)**2/(I*a*tan(c) + a)**2, True))","A",0
119,1,119,0,0.229903," ","integrate(1/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(16 i a^{2} d e^{4 i c} e^{- 2 i d x} + 4 i a^{2} d e^{2 i c} e^{- 4 i d x}\right) e^{- 6 i c}}{64 a^{4} d^{2}} & \text{for}\: 64 a^{4} d^{2} e^{6 i c} \neq 0 \\x \left(\frac{\left(e^{4 i c} + 2 e^{2 i c} + 1\right) e^{- 4 i c}}{4 a^{2}} - \frac{1}{4 a^{2}}\right) & \text{otherwise} \end{cases} + \frac{x}{4 a^{2}}"," ",0,"Piecewise(((16*I*a**2*d*exp(4*I*c)*exp(-2*I*d*x) + 4*I*a**2*d*exp(2*I*c)*exp(-4*I*d*x))*exp(-6*I*c)/(64*a**4*d**2), Ne(64*a**4*d**2*exp(6*I*c), 0)), (x*((exp(4*I*c) + 2*exp(2*I*c) + 1)*exp(-4*I*c)/(4*a**2) - 1/(4*a**2)), True)) + x/(4*a**2)","A",0
120,1,190,0,0.386598," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 24576 i a^{6} d^{3} e^{14 i c} e^{2 i d x} + 147456 i a^{6} d^{3} e^{10 i c} e^{- 2 i d x} + 49152 i a^{6} d^{3} e^{8 i c} e^{- 4 i d x} + 8192 i a^{6} d^{3} e^{6 i c} e^{- 6 i d x}\right) e^{- 12 i c}}{786432 a^{8} d^{4}} & \text{for}\: 786432 a^{8} d^{4} e^{12 i c} \neq 0 \\x \left(\frac{\left(e^{8 i c} + 4 e^{6 i c} + 6 e^{4 i c} + 4 e^{2 i c} + 1\right) e^{- 6 i c}}{16 a^{2}} - \frac{1}{4 a^{2}}\right) & \text{otherwise} \end{cases} + \frac{x}{4 a^{2}}"," ",0,"Piecewise(((-24576*I*a**6*d**3*exp(14*I*c)*exp(2*I*d*x) + 147456*I*a**6*d**3*exp(10*I*c)*exp(-2*I*d*x) + 49152*I*a**6*d**3*exp(8*I*c)*exp(-4*I*d*x) + 8192*I*a**6*d**3*exp(6*I*c)*exp(-6*I*d*x))*exp(-12*I*c)/(786432*a**8*d**4), Ne(786432*a**8*d**4*exp(12*I*c), 0)), (x*((exp(8*I*c) + 4*exp(6*I*c) + 6*exp(4*I*c) + 4*exp(2*I*c) + 1)*exp(-6*I*c)/(16*a**2) - 1/(4*a**2)), True)) + x/(4*a**2)","A",0
121,1,260,0,0.507463," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 17179869184 i a^{10} d^{5} e^{24 i c} e^{4 i d x} - 206158430208 i a^{10} d^{5} e^{22 i c} e^{2 i d x} + 687194767360 i a^{10} d^{5} e^{18 i c} e^{- 2 i d x} + 257698037760 i a^{10} d^{5} e^{16 i c} e^{- 4 i d x} + 68719476736 i a^{10} d^{5} e^{14 i c} e^{- 6 i d x} + 8589934592 i a^{10} d^{5} e^{12 i c} e^{- 8 i d x}\right) e^{- 20 i c}}{4398046511104 a^{12} d^{6}} & \text{for}\: 4398046511104 a^{12} d^{6} e^{20 i c} \neq 0 \\x \left(\frac{\left(e^{12 i c} + 6 e^{10 i c} + 15 e^{8 i c} + 20 e^{6 i c} + 15 e^{4 i c} + 6 e^{2 i c} + 1\right) e^{- 8 i c}}{64 a^{2}} - \frac{15}{64 a^{2}}\right) & \text{otherwise} \end{cases} + \frac{15 x}{64 a^{2}}"," ",0,"Piecewise(((-17179869184*I*a**10*d**5*exp(24*I*c)*exp(4*I*d*x) - 206158430208*I*a**10*d**5*exp(22*I*c)*exp(2*I*d*x) + 687194767360*I*a**10*d**5*exp(18*I*c)*exp(-2*I*d*x) + 257698037760*I*a**10*d**5*exp(16*I*c)*exp(-4*I*d*x) + 68719476736*I*a**10*d**5*exp(14*I*c)*exp(-6*I*d*x) + 8589934592*I*a**10*d**5*exp(12*I*c)*exp(-8*I*d*x))*exp(-20*I*c)/(4398046511104*a**12*d**6), Ne(4398046511104*a**12*d**6*exp(20*I*c), 0)), (x*((exp(12*I*c) + 6*exp(10*I*c) + 15*exp(8*I*c) + 20*exp(6*I*c) + 15*exp(4*I*c) + 6*exp(2*I*c) + 1)*exp(-8*I*c)/(64*a**2) - 15/(64*a**2)), True)) + 15*x/(64*a**2)","A",0
122,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{9}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**9/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
123,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{7}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**7/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
124,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{5}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**5/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
125,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sec^{3}{\left(c + d x \right)}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sec(c + d*x)**3/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
126,1,112,0,1.200553," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} - \frac{\tan{\left(c + d x \right)} \sec{\left(c + d x \right)}}{- 3 a^{2} d \tan^{2}{\left(c + d x \right)} + 6 i a^{2} d \tan{\left(c + d x \right)} + 3 a^{2} d} + \frac{2 i \sec{\left(c + d x \right)}}{- 3 a^{2} d \tan^{2}{\left(c + d x \right)} + 6 i a^{2} d \tan{\left(c + d x \right)} + 3 a^{2} d} & \text{for}\: d \neq 0 \\\frac{x \sec{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tan(c + d*x)*sec(c + d*x)/(-3*a**2*d*tan(c + d*x)**2 + 6*I*a**2*d*tan(c + d*x) + 3*a**2*d) + 2*I*sec(c + d*x)/(-3*a**2*d*tan(c + d*x)**2 + 6*I*a**2*d*tan(c + d*x) + 3*a**2*d), Ne(d, 0)), (x*sec(c)/(I*a*tan(c) + a)**2, True))","A",0
127,1,165,0,0.395817," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 2560 i a^{6} d^{3} e^{10 i c} e^{i d x} + 7680 i a^{6} d^{3} e^{8 i c} e^{- i d x} + 2560 i a^{6} d^{3} e^{6 i c} e^{- 3 i d x} + 512 i a^{6} d^{3} e^{4 i c} e^{- 5 i d x}\right) e^{- 9 i c}}{20480 a^{8} d^{4}} & \text{for}\: 20480 a^{8} d^{4} e^{9 i c} \neq 0 \\\frac{x \left(e^{6 i c} + 3 e^{4 i c} + 3 e^{2 i c} + 1\right) e^{- 5 i c}}{8 a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-2560*I*a**6*d**3*exp(10*I*c)*exp(I*d*x) + 7680*I*a**6*d**3*exp(8*I*c)*exp(-I*d*x) + 2560*I*a**6*d**3*exp(6*I*c)*exp(-3*I*d*x) + 512*I*a**6*d**3*exp(4*I*c)*exp(-5*I*d*x))*exp(-9*I*c)/(20480*a**8*d**4), Ne(20480*a**8*d**4*exp(9*I*c), 0)), (x*(exp(6*I*c) + 3*exp(4*I*c) + 3*exp(2*I*c) + 1)*exp(-5*I*c)/(8*a**2), True))","A",0
128,1,233,0,0.587986," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 176160768 i a^{10} d^{5} e^{19 i c} e^{3 i d x} - 2642411520 i a^{10} d^{5} e^{17 i c} e^{i d x} + 5284823040 i a^{10} d^{5} e^{15 i c} e^{- i d x} + 1761607680 i a^{10} d^{5} e^{13 i c} e^{- 3 i d x} + 528482304 i a^{10} d^{5} e^{11 i c} e^{- 5 i d x} + 75497472 i a^{10} d^{5} e^{9 i c} e^{- 7 i d x}\right) e^{- 16 i c}}{16911433728 a^{12} d^{6}} & \text{for}\: 16911433728 a^{12} d^{6} e^{16 i c} \neq 0 \\\frac{x \left(e^{10 i c} + 5 e^{8 i c} + 10 e^{6 i c} + 10 e^{4 i c} + 5 e^{2 i c} + 1\right) e^{- 7 i c}}{32 a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-176160768*I*a**10*d**5*exp(19*I*c)*exp(3*I*d*x) - 2642411520*I*a**10*d**5*exp(17*I*c)*exp(I*d*x) + 5284823040*I*a**10*d**5*exp(15*I*c)*exp(-I*d*x) + 1761607680*I*a**10*d**5*exp(13*I*c)*exp(-3*I*d*x) + 528482304*I*a**10*d**5*exp(11*I*c)*exp(-5*I*d*x) + 75497472*I*a**10*d**5*exp(9*I*c)*exp(-7*I*d*x))*exp(-16*I*c)/(16911433728*a**12*d**6), Ne(16911433728*a**12*d**6*exp(16*I*c), 0)), (x*(exp(10*I*c) + 5*exp(8*I*c) + 10*exp(6*I*c) + 10*exp(4*I*c) + 5*exp(2*I*c) + 1)*exp(-7*I*c)/(32*a**2), True))","A",0
129,1,301,0,0.757293," ","integrate(cos(d*x+c)**5/(a+I*a*tan(d*x+c))**2,x)","\begin{cases} \frac{\left(- 227994731135631360 i a^{14} d^{7} e^{30 i c} e^{5 i d x} - 2659938529915699200 i a^{14} d^{7} e^{28 i c} e^{3 i d x} - 23939446769241292800 i a^{14} d^{7} e^{26 i c} e^{i d x} + 39899077948735488000 i a^{14} d^{7} e^{24 i c} e^{- i d x} + 13299692649578496000 i a^{14} d^{7} e^{22 i c} e^{- 3 i d x} + 4787889353848258560 i a^{14} d^{7} e^{20 i c} e^{- 5 i d x} + 1139973655678156800 i a^{14} d^{7} e^{18 i c} e^{- 7 i d x} + 126663739519795200 i a^{14} d^{7} e^{16 i c} e^{- 9 i d x}\right) e^{- 25 i c}}{145916627926804070400 a^{16} d^{8}} & \text{for}\: 145916627926804070400 a^{16} d^{8} e^{25 i c} \neq 0 \\\frac{x \left(e^{14 i c} + 7 e^{12 i c} + 21 e^{10 i c} + 35 e^{8 i c} + 35 e^{6 i c} + 21 e^{4 i c} + 7 e^{2 i c} + 1\right) e^{- 9 i c}}{128 a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-227994731135631360*I*a**14*d**7*exp(30*I*c)*exp(5*I*d*x) - 2659938529915699200*I*a**14*d**7*exp(28*I*c)*exp(3*I*d*x) - 23939446769241292800*I*a**14*d**7*exp(26*I*c)*exp(I*d*x) + 39899077948735488000*I*a**14*d**7*exp(24*I*c)*exp(-I*d*x) + 13299692649578496000*I*a**14*d**7*exp(22*I*c)*exp(-3*I*d*x) + 4787889353848258560*I*a**14*d**7*exp(20*I*c)*exp(-5*I*d*x) + 1139973655678156800*I*a**14*d**7*exp(18*I*c)*exp(-7*I*d*x) + 126663739519795200*I*a**14*d**7*exp(16*I*c)*exp(-9*I*d*x))*exp(-25*I*c)/(145916627926804070400*a**16*d**8), Ne(145916627926804070400*a**16*d**8*exp(25*I*c), 0)), (x*(exp(14*I*c) + 7*exp(12*I*c) + 21*exp(10*I*c) + 35*exp(8*I*c) + 35*exp(6*I*c) + 21*exp(4*I*c) + 7*exp(2*I*c) + 1)*exp(-9*I*c)/(128*a**2), True))","A",0
130,0,0,0,0.000000," ","integrate(sec(d*x+c)**14/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{14}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**14/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
131,0,0,0,0.000000," ","integrate(sec(d*x+c)**12/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{12}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**12/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
132,0,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{10}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**10/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
133,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{8}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**8/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
134,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{6}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**6/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
135,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{4}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**4/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
136,1,153,0,2.122255," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{i \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{8 a^{3} d \tan^{3}{\left(c + d x \right)} - 24 i a^{3} d \tan^{2}{\left(c + d x \right)} - 24 a^{3} d \tan{\left(c + d x \right)} + 8 i a^{3} d} - \frac{3 \sec^{2}{\left(c + d x \right)}}{8 a^{3} d \tan^{3}{\left(c + d x \right)} - 24 i a^{3} d \tan^{2}{\left(c + d x \right)} - 24 a^{3} d \tan{\left(c + d x \right)} + 8 i a^{3} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{2}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*tan(c + d*x)*sec(c + d*x)**2/(8*a**3*d*tan(c + d*x)**3 - 24*I*a**3*d*tan(c + d*x)**2 - 24*a**3*d*tan(c + d*x) + 8*I*a**3*d) - 3*sec(c + d*x)**2/(8*a**3*d*tan(c + d*x)**3 - 24*I*a**3*d*tan(c + d*x)**2 - 24*a**3*d*tan(c + d*x) + 8*I*a**3*d), Ne(d, 0)), (x*sec(c)**2/(I*a*tan(c) + a)**3, True))","A",0
137,1,160,0,0.335283," ","integrate(1/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(- 4608 i a^{6} d^{2} e^{10 i c} e^{- 2 i d x} - 2304 i a^{6} d^{2} e^{8 i c} e^{- 4 i d x} - 512 i a^{6} d^{2} e^{6 i c} e^{- 6 i d x}\right) e^{- 12 i c}}{24576 a^{9} d^{3}} & \text{for}\: 24576 a^{9} d^{3} e^{12 i c} \neq 0 \\x \left(\frac{\left(e^{6 i c} + 3 e^{4 i c} + 3 e^{2 i c} + 1\right) e^{- 6 i c}}{8 a^{3}} - \frac{1}{8 a^{3}}\right) & \text{otherwise} \end{cases} + \frac{x}{8 a^{3}}"," ",0,"Piecewise((-(-4608*I*a**6*d**2*exp(10*I*c)*exp(-2*I*d*x) - 2304*I*a**6*d**2*exp(8*I*c)*exp(-4*I*d*x) - 512*I*a**6*d**2*exp(6*I*c)*exp(-6*I*d*x))*exp(-12*I*c)/(24576*a**9*d**3), Ne(24576*a**9*d**3*exp(12*I*c), 0)), (x*((exp(6*I*c) + 3*exp(4*I*c) + 3*exp(2*I*c) + 1)*exp(-6*I*c)/(8*a**3) - 1/(8*a**3)), True)) + x/(8*a**3)","A",0
138,1,228,0,0.494272," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(100663296 i a^{12} d^{4} e^{22 i c} e^{2 i d x} - 1006632960 i a^{12} d^{4} e^{18 i c} e^{- 2 i d x} - 503316480 i a^{12} d^{4} e^{16 i c} e^{- 4 i d x} - 167772160 i a^{12} d^{4} e^{14 i c} e^{- 6 i d x} - 25165824 i a^{12} d^{4} e^{12 i c} e^{- 8 i d x}\right) e^{- 20 i c}}{6442450944 a^{15} d^{5}} & \text{for}\: 6442450944 a^{15} d^{5} e^{20 i c} \neq 0 \\x \left(\frac{\left(e^{10 i c} + 5 e^{8 i c} + 10 e^{6 i c} + 10 e^{4 i c} + 5 e^{2 i c} + 1\right) e^{- 8 i c}}{32 a^{3}} - \frac{5}{32 a^{3}}\right) & \text{otherwise} \end{cases} + \frac{5 x}{32 a^{3}}"," ",0,"Piecewise((-(100663296*I*a**12*d**4*exp(22*I*c)*exp(2*I*d*x) - 1006632960*I*a**12*d**4*exp(18*I*c)*exp(-2*I*d*x) - 503316480*I*a**12*d**4*exp(16*I*c)*exp(-4*I*d*x) - 167772160*I*a**12*d**4*exp(14*I*c)*exp(-6*I*d*x) - 25165824*I*a**12*d**4*exp(12*I*c)*exp(-8*I*d*x))*exp(-20*I*c)/(6442450944*a**15*d**5), Ne(6442450944*a**15*d**5*exp(20*I*c), 0)), (x*((exp(10*I*c) + 5*exp(8*I*c) + 10*exp(6*I*c) + 10*exp(4*I*c) + 5*exp(2*I*c) + 1)*exp(-8*I*c)/(32*a**3) - 5/(32*a**3)), True)) + 5*x/(32*a**3)","A",0
139,1,296,0,0.606618," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(11258999068426240 i a^{18} d^{6} e^{34 i c} e^{4 i d x} + 157625986957967360 i a^{18} d^{6} e^{32 i c} e^{2 i d x} - 788129934789836800 i a^{18} d^{6} e^{28 i c} e^{- 2 i d x} - 394064967394918400 i a^{18} d^{6} e^{26 i c} e^{- 4 i d x} - 157625986957967360 i a^{18} d^{6} e^{24 i c} e^{- 6 i d x} - 39406496739491840 i a^{18} d^{6} e^{22 i c} e^{- 8 i d x} - 4503599627370496 i a^{18} d^{6} e^{20 i c} e^{- 10 i d x}\right) e^{- 30 i c}}{5764607523034234880 a^{21} d^{7}} & \text{for}\: 5764607523034234880 a^{21} d^{7} e^{30 i c} \neq 0 \\x \left(\frac{\left(e^{14 i c} + 7 e^{12 i c} + 21 e^{10 i c} + 35 e^{8 i c} + 35 e^{6 i c} + 21 e^{4 i c} + 7 e^{2 i c} + 1\right) e^{- 10 i c}}{128 a^{3}} - \frac{21}{128 a^{3}}\right) & \text{otherwise} \end{cases} + \frac{21 x}{128 a^{3}}"," ",0,"Piecewise((-(11258999068426240*I*a**18*d**6*exp(34*I*c)*exp(4*I*d*x) + 157625986957967360*I*a**18*d**6*exp(32*I*c)*exp(2*I*d*x) - 788129934789836800*I*a**18*d**6*exp(28*I*c)*exp(-2*I*d*x) - 394064967394918400*I*a**18*d**6*exp(26*I*c)*exp(-4*I*d*x) - 157625986957967360*I*a**18*d**6*exp(24*I*c)*exp(-6*I*d*x) - 39406496739491840*I*a**18*d**6*exp(22*I*c)*exp(-8*I*d*x) - 4503599627370496*I*a**18*d**6*exp(20*I*c)*exp(-10*I*d*x))*exp(-30*I*c)/(5764607523034234880*a**21*d**7), Ne(5764607523034234880*a**21*d**7*exp(30*I*c), 0)), (x*((exp(14*I*c) + 7*exp(12*I*c) + 21*exp(10*I*c) + 35*exp(8*I*c) + 35*exp(6*I*c) + 21*exp(4*I*c) + 7*exp(2*I*c) + 1)*exp(-10*I*c)/(128*a**3) - 21/(128*a**3)), True)) + 21*x/(128*a**3)","A",0
140,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{9}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**9/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
141,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{7}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**7/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
142,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sec^{5}{\left(c + d x \right)}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sec(c + d*x)**5/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
143,1,80,0,2.087108," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\sec^{3}{\left(c + d x \right)}}{3 a^{3} d \tan^{3}{\left(c + d x \right)} - 9 i a^{3} d \tan^{2}{\left(c + d x \right)} - 9 a^{3} d \tan{\left(c + d x \right)} + 3 i a^{3} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{3}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sec(c + d*x)**3/(3*a**3*d*tan(c + d*x)**3 - 9*I*a**3*d*tan(c + d*x)**2 - 9*a**3*d*tan(c + d*x) + 3*I*a**3*d), Ne(d, 0)), (x*sec(c)**3/(I*a*tan(c) + a)**3, True))","A",0
144,1,219,0,2.180990," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} \frac{2 \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 a^{3} d \tan^{3}{\left(c + d x \right)} - 45 i a^{3} d \tan^{2}{\left(c + d x \right)} - 45 a^{3} d \tan{\left(c + d x \right)} + 15 i a^{3} d} - \frac{6 i \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}}{15 a^{3} d \tan^{3}{\left(c + d x \right)} - 45 i a^{3} d \tan^{2}{\left(c + d x \right)} - 45 a^{3} d \tan{\left(c + d x \right)} + 15 i a^{3} d} - \frac{7 \sec{\left(c + d x \right)}}{15 a^{3} d \tan^{3}{\left(c + d x \right)} - 45 i a^{3} d \tan^{2}{\left(c + d x \right)} - 45 a^{3} d \tan{\left(c + d x \right)} + 15 i a^{3} d} & \text{for}\: d \neq 0 \\\frac{x \sec{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*tan(c + d*x)**2*sec(c + d*x)/(15*a**3*d*tan(c + d*x)**3 - 45*I*a**3*d*tan(c + d*x)**2 - 45*a**3*d*tan(c + d*x) + 15*I*a**3*d) - 6*I*tan(c + d*x)*sec(c + d*x)/(15*a**3*d*tan(c + d*x)**3 - 45*I*a**3*d*tan(c + d*x)**2 - 45*a**3*d*tan(c + d*x) + 15*I*a**3*d) - 7*sec(c + d*x)/(15*a**3*d*tan(c + d*x)**3 - 45*I*a**3*d*tan(c + d*x)**2 - 45*a**3*d*tan(c + d*x) + 15*I*a**3*d), Ne(d, 0)), (x*sec(c)/(I*a*tan(c) + a)**3, True))","A",0
145,1,201,0,0.521106," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(71680 i a^{12} d^{4} e^{17 i c} e^{i d x} - 286720 i a^{12} d^{4} e^{15 i c} e^{- i d x} - 143360 i a^{12} d^{4} e^{13 i c} e^{- 3 i d x} - 57344 i a^{12} d^{4} e^{11 i c} e^{- 5 i d x} - 10240 i a^{12} d^{4} e^{9 i c} e^{- 7 i d x}\right) e^{- 16 i c}}{1146880 a^{15} d^{5}} & \text{for}\: 1146880 a^{15} d^{5} e^{16 i c} \neq 0 \\\frac{x \left(e^{8 i c} + 4 e^{6 i c} + 6 e^{4 i c} + 4 e^{2 i c} + 1\right) e^{- 7 i c}}{16 a^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(71680*I*a**12*d**4*exp(17*I*c)*exp(I*d*x) - 286720*I*a**12*d**4*exp(15*I*c)*exp(-I*d*x) - 143360*I*a**12*d**4*exp(13*I*c)*exp(-3*I*d*x) - 57344*I*a**12*d**4*exp(11*I*c)*exp(-5*I*d*x) - 10240*I*a**12*d**4*exp(9*I*c)*exp(-7*I*d*x))*exp(-16*I*c)/(1146880*a**15*d**5), Ne(1146880*a**15*d**5*exp(16*I*c), 0)), (x*(exp(8*I*c) + 4*exp(6*I*c) + 6*exp(4*I*c) + 4*exp(2*I*c) + 1)*exp(-7*I*c)/(16*a**3), True))","A",0
146,1,269,0,0.692226," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(811748818944 i a^{18} d^{6} e^{28 i c} e^{3 i d x} + 14611478740992 i a^{18} d^{6} e^{26 i c} e^{i d x} - 36528696852480 i a^{18} d^{6} e^{24 i c} e^{- i d x} - 16234976378880 i a^{18} d^{6} e^{22 i c} e^{- 3 i d x} - 7305739370496 i a^{18} d^{6} e^{20 i c} e^{- 5 i d x} - 2087354105856 i a^{18} d^{6} e^{18 i c} e^{- 7 i d x} - 270582939648 i a^{18} d^{6} e^{16 i c} e^{- 9 i d x}\right) e^{- 25 i c}}{155855773237248 a^{21} d^{7}} & \text{for}\: 155855773237248 a^{21} d^{7} e^{25 i c} \neq 0 \\\frac{x \left(e^{12 i c} + 6 e^{10 i c} + 15 e^{8 i c} + 20 e^{6 i c} + 15 e^{4 i c} + 6 e^{2 i c} + 1\right) e^{- 9 i c}}{64 a^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(811748818944*I*a**18*d**6*exp(28*I*c)*exp(3*I*d*x) + 14611478740992*I*a**18*d**6*exp(26*I*c)*exp(I*d*x) - 36528696852480*I*a**18*d**6*exp(24*I*c)*exp(-I*d*x) - 16234976378880*I*a**18*d**6*exp(22*I*c)*exp(-3*I*d*x) - 7305739370496*I*a**18*d**6*exp(20*I*c)*exp(-5*I*d*x) - 2087354105856*I*a**18*d**6*exp(18*I*c)*exp(-7*I*d*x) - 270582939648*I*a**18*d**6*exp(16*I*c)*exp(-9*I*d*x))*exp(-25*I*c)/(155855773237248*a**21*d**7), Ne(155855773237248*a**21*d**7*exp(25*I*c), 0)), (x*(exp(12*I*c) + 6*exp(10*I*c) + 15*exp(8*I*c) + 20*exp(6*I*c) + 15*exp(4*I*c) + 6*exp(2*I*c) + 1)*exp(-9*I*c)/(64*a**3), True))","A",0
147,1,337,0,0.883766," ","integrate(cos(d*x+c)**5/(a+I*a*tan(d*x+c))**3,x)","\begin{cases} - \frac{\left(626985510622986240 i a^{24} d^{8} e^{41 i c} e^{5 i d x} + 8359806808306483200 i a^{24} d^{8} e^{39 i c} e^{3 i d x} + 87777971487218073600 i a^{24} d^{8} e^{37 i c} e^{i d x} - 175555942974436147200 i a^{24} d^{8} e^{35 i c} e^{- i d x} - 73148309572681728000 i a^{24} d^{8} e^{33 i c} e^{- 3 i d x} - 35111188594887229440 i a^{24} d^{8} e^{31 i c} e^{- 5 i d x} - 12539710212459724800 i a^{24} d^{8} e^{29 i c} e^{- 7 i d x} - 2786602269435494400 i a^{24} d^{8} e^{27 i c} e^{- 9 i d x} - 284993413919539200 i a^{24} d^{8} e^{25 i c} e^{- 11 i d x}\right) e^{- 36 i c}}{802541453597422387200 a^{27} d^{9}} & \text{for}\: 802541453597422387200 a^{27} d^{9} e^{36 i c} \neq 0 \\\frac{x \left(e^{16 i c} + 8 e^{14 i c} + 28 e^{12 i c} + 56 e^{10 i c} + 70 e^{8 i c} + 56 e^{6 i c} + 28 e^{4 i c} + 8 e^{2 i c} + 1\right) e^{- 11 i c}}{256 a^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(626985510622986240*I*a**24*d**8*exp(41*I*c)*exp(5*I*d*x) + 8359806808306483200*I*a**24*d**8*exp(39*I*c)*exp(3*I*d*x) + 87777971487218073600*I*a**24*d**8*exp(37*I*c)*exp(I*d*x) - 175555942974436147200*I*a**24*d**8*exp(35*I*c)*exp(-I*d*x) - 73148309572681728000*I*a**24*d**8*exp(33*I*c)*exp(-3*I*d*x) - 35111188594887229440*I*a**24*d**8*exp(31*I*c)*exp(-5*I*d*x) - 12539710212459724800*I*a**24*d**8*exp(29*I*c)*exp(-7*I*d*x) - 2786602269435494400*I*a**24*d**8*exp(27*I*c)*exp(-9*I*d*x) - 284993413919539200*I*a**24*d**8*exp(25*I*c)*exp(-11*I*d*x))*exp(-36*I*c)/(802541453597422387200*a**27*d**9), Ne(802541453597422387200*a**27*d**9*exp(36*I*c), 0)), (x*(exp(16*I*c) + 8*exp(14*I*c) + 28*exp(12*I*c) + 56*exp(10*I*c) + 70*exp(8*I*c) + 56*exp(6*I*c) + 28*exp(4*I*c) + 8*exp(2*I*c) + 1)*exp(-11*I*c)/(256*a**3), True))","A",0
148,0,0,0,0.000000," ","integrate(sec(d*x+c)**14/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{14}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**14/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
149,0,0,0,0.000000," ","integrate(sec(d*x+c)**12/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{12}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**12/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
150,0,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{10}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**10/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
151,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{8}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**8/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
152,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{6}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**6/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
153,1,95,0,3.787344," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{i \sec^{4}{\left(c + d x \right)}}{4 a^{4} d \tan^{4}{\left(c + d x \right)} - 16 i a^{4} d \tan^{3}{\left(c + d x \right)} - 24 a^{4} d \tan^{2}{\left(c + d x \right)} + 16 i a^{4} d \tan{\left(c + d x \right)} + 4 a^{4} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{4}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sec(c + d*x)**4/(4*a**4*d*tan(c + d*x)**4 - 16*I*a**4*d*tan(c + d*x)**3 - 24*a**4*d*tan(c + d*x)**2 + 16*I*a**4*d*tan(c + d*x) + 4*a**4*d), Ne(d, 0)), (x*sec(c)**4/(I*a*tan(c) + a)**4, True))","A",0
154,1,272,0,3.883879," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} - \frac{i \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{24 a^{4} d \tan^{4}{\left(c + d x \right)} - 96 i a^{4} d \tan^{3}{\left(c + d x \right)} - 144 a^{4} d \tan^{2}{\left(c + d x \right)} + 96 i a^{4} d \tan{\left(c + d x \right)} + 24 a^{4} d} - \frac{4 \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{24 a^{4} d \tan^{4}{\left(c + d x \right)} - 96 i a^{4} d \tan^{3}{\left(c + d x \right)} - 144 a^{4} d \tan^{2}{\left(c + d x \right)} + 96 i a^{4} d \tan{\left(c + d x \right)} + 24 a^{4} d} + \frac{7 i \sec^{2}{\left(c + d x \right)}}{24 a^{4} d \tan^{4}{\left(c + d x \right)} - 96 i a^{4} d \tan^{3}{\left(c + d x \right)} - 144 a^{4} d \tan^{2}{\left(c + d x \right)} + 96 i a^{4} d \tan{\left(c + d x \right)} + 24 a^{4} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{2}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*tan(c + d*x)**2*sec(c + d*x)**2/(24*a**4*d*tan(c + d*x)**4 - 96*I*a**4*d*tan(c + d*x)**3 - 144*a**4*d*tan(c + d*x)**2 + 96*I*a**4*d*tan(c + d*x) + 24*a**4*d) - 4*tan(c + d*x)*sec(c + d*x)**2/(24*a**4*d*tan(c + d*x)**4 - 96*I*a**4*d*tan(c + d*x)**3 - 144*a**4*d*tan(c + d*x)**2 + 96*I*a**4*d*tan(c + d*x) + 24*a**4*d) + 7*I*sec(c + d*x)**2/(24*a**4*d*tan(c + d*x)**4 - 96*I*a**4*d*tan(c + d*x)**3 - 144*a**4*d*tan(c + d*x)**2 + 96*I*a**4*d*tan(c + d*x) + 24*a**4*d), Ne(d, 0)), (x*sec(c)**2/(I*a*tan(c) + a)**4, True))","A",0
155,1,190,0,0.411768," ","integrate(1/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(98304 i a^{12} d^{3} e^{18 i c} e^{- 2 i d x} + 73728 i a^{12} d^{3} e^{16 i c} e^{- 4 i d x} + 32768 i a^{12} d^{3} e^{14 i c} e^{- 6 i d x} + 6144 i a^{12} d^{3} e^{12 i c} e^{- 8 i d x}\right) e^{- 20 i c}}{786432 a^{16} d^{4}} & \text{for}\: 786432 a^{16} d^{4} e^{20 i c} \neq 0 \\x \left(\frac{\left(e^{8 i c} + 4 e^{6 i c} + 6 e^{4 i c} + 4 e^{2 i c} + 1\right) e^{- 8 i c}}{16 a^{4}} - \frac{1}{16 a^{4}}\right) & \text{otherwise} \end{cases} + \frac{x}{16 a^{4}}"," ",0,"Piecewise(((98304*I*a**12*d**3*exp(18*I*c)*exp(-2*I*d*x) + 73728*I*a**12*d**3*exp(16*I*c)*exp(-4*I*d*x) + 32768*I*a**12*d**3*exp(14*I*c)*exp(-6*I*d*x) + 6144*I*a**12*d**3*exp(12*I*c)*exp(-8*I*d*x))*exp(-20*I*c)/(786432*a**16*d**4), Ne(786432*a**16*d**4*exp(20*I*c), 0)), (x*((exp(8*I*c) + 4*exp(6*I*c) + 6*exp(4*I*c) + 4*exp(2*I*c) + 1)*exp(-8*I*c)/(16*a**4) - 1/(16*a**4)), True)) + x/(16*a**4)","A",0
156,1,260,0,0.556409," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 171798691840 i a^{20} d^{5} e^{32 i c} e^{2 i d x} + 2576980377600 i a^{20} d^{5} e^{28 i c} e^{- 2 i d x} + 1717986918400 i a^{20} d^{5} e^{26 i c} e^{- 4 i d x} + 858993459200 i a^{20} d^{5} e^{24 i c} e^{- 6 i d x} + 257698037760 i a^{20} d^{5} e^{22 i c} e^{- 8 i d x} + 34359738368 i a^{20} d^{5} e^{20 i c} e^{- 10 i d x}\right) e^{- 30 i c}}{21990232555520 a^{24} d^{6}} & \text{for}\: 21990232555520 a^{24} d^{6} e^{30 i c} \neq 0 \\x \left(\frac{\left(e^{12 i c} + 6 e^{10 i c} + 15 e^{8 i c} + 20 e^{6 i c} + 15 e^{4 i c} + 6 e^{2 i c} + 1\right) e^{- 10 i c}}{64 a^{4}} - \frac{3}{32 a^{4}}\right) & \text{otherwise} \end{cases} + \frac{3 x}{32 a^{4}}"," ",0,"Piecewise(((-171798691840*I*a**20*d**5*exp(32*I*c)*exp(2*I*d*x) + 2576980377600*I*a**20*d**5*exp(28*I*c)*exp(-2*I*d*x) + 1717986918400*I*a**20*d**5*exp(26*I*c)*exp(-4*I*d*x) + 858993459200*I*a**20*d**5*exp(24*I*c)*exp(-6*I*d*x) + 257698037760*I*a**20*d**5*exp(22*I*c)*exp(-8*I*d*x) + 34359738368*I*a**20*d**5*exp(20*I*c)*exp(-10*I*d*x))*exp(-30*I*c)/(21990232555520*a**24*d**6), Ne(21990232555520*a**24*d**6*exp(30*I*c), 0)), (x*((exp(12*I*c) + 6*exp(10*I*c) + 15*exp(8*I*c) + 20*exp(6*I*c) + 15*exp(4*I*c) + 6*exp(2*I*c) + 1)*exp(-10*I*c)/(64*a**4) - 3/(32*a**4)), True)) + 3*x/(32*a**4)","A",0
157,1,328,0,0.683680," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 202661983231672320 i a^{28} d^{7} e^{46 i c} e^{4 i d x} - 3242591731706757120 i a^{28} d^{7} e^{44 i c} e^{2 i d x} + 22698142121947299840 i a^{28} d^{7} e^{40 i c} e^{- 2 i d x} + 14186338826217062400 i a^{28} d^{7} e^{38 i c} e^{- 4 i d x} + 7566047373982433280 i a^{28} d^{7} e^{36 i c} e^{- 6 i d x} + 2837267765243412480 i a^{28} d^{7} e^{34 i c} e^{- 8 i d x} + 648518346341351424 i a^{28} d^{7} e^{32 i c} e^{- 10 i d x} + 67553994410557440 i a^{28} d^{7} e^{30 i c} e^{- 12 i d x}\right) e^{- 42 i c}}{207525870829232455680 a^{32} d^{8}} & \text{for}\: 207525870829232455680 a^{32} d^{8} e^{42 i c} \neq 0 \\x \left(\frac{\left(e^{16 i c} + 8 e^{14 i c} + 28 e^{12 i c} + 56 e^{10 i c} + 70 e^{8 i c} + 56 e^{6 i c} + 28 e^{4 i c} + 8 e^{2 i c} + 1\right) e^{- 12 i c}}{256 a^{4}} - \frac{7}{64 a^{4}}\right) & \text{otherwise} \end{cases} + \frac{7 x}{64 a^{4}}"," ",0,"Piecewise(((-202661983231672320*I*a**28*d**7*exp(46*I*c)*exp(4*I*d*x) - 3242591731706757120*I*a**28*d**7*exp(44*I*c)*exp(2*I*d*x) + 22698142121947299840*I*a**28*d**7*exp(40*I*c)*exp(-2*I*d*x) + 14186338826217062400*I*a**28*d**7*exp(38*I*c)*exp(-4*I*d*x) + 7566047373982433280*I*a**28*d**7*exp(36*I*c)*exp(-6*I*d*x) + 2837267765243412480*I*a**28*d**7*exp(34*I*c)*exp(-8*I*d*x) + 648518346341351424*I*a**28*d**7*exp(32*I*c)*exp(-10*I*d*x) + 67553994410557440*I*a**28*d**7*exp(30*I*c)*exp(-12*I*d*x))*exp(-42*I*c)/(207525870829232455680*a**32*d**8), Ne(207525870829232455680*a**32*d**8*exp(42*I*c), 0)), (x*((exp(16*I*c) + 8*exp(14*I*c) + 28*exp(12*I*c) + 56*exp(10*I*c) + 70*exp(8*I*c) + 56*exp(6*I*c) + 28*exp(4*I*c) + 8*exp(2*I*c) + 1)*exp(-12*I*c)/(256*a**4) - 7/(64*a**4)), True)) + 7*x/(64*a**4)","A",0
158,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{9}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**9/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
159,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{7}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**7/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
160,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sec^{5}{\left(c + d x \right)}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sec(c + d*x)**5/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
161,1,182,0,3.851973," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} - \frac{\tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{15 a^{4} d \tan^{4}{\left(c + d x \right)} - 60 i a^{4} d \tan^{3}{\left(c + d x \right)} - 90 a^{4} d \tan^{2}{\left(c + d x \right)} + 60 i a^{4} d \tan{\left(c + d x \right)} + 15 a^{4} d} + \frac{4 i \sec^{3}{\left(c + d x \right)}}{15 a^{4} d \tan^{4}{\left(c + d x \right)} - 60 i a^{4} d \tan^{3}{\left(c + d x \right)} - 90 a^{4} d \tan^{2}{\left(c + d x \right)} + 60 i a^{4} d \tan{\left(c + d x \right)} + 15 a^{4} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{3}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tan(c + d*x)*sec(c + d*x)**3/(15*a**4*d*tan(c + d*x)**4 - 60*I*a**4*d*tan(c + d*x)**3 - 90*a**4*d*tan(c + d*x)**2 + 60*I*a**4*d*tan(c + d*x) + 15*a**4*d) + 4*I*sec(c + d*x)**3/(15*a**4*d*tan(c + d*x)**4 - 60*I*a**4*d*tan(c + d*x)**3 - 90*a**4*d*tan(c + d*x)**2 + 60*I*a**4*d*tan(c + d*x) + 15*a**4*d), Ne(d, 0)), (x*sec(c)**3/(I*a*tan(c) + a)**4, True))","A",0
162,1,354,0,3.901781," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{2 \tan^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 a^{4} d \tan^{4}{\left(c + d x \right)} - 140 i a^{4} d \tan^{3}{\left(c + d x \right)} - 210 a^{4} d \tan^{2}{\left(c + d x \right)} + 140 i a^{4} d \tan{\left(c + d x \right)} + 35 a^{4} d} - \frac{8 i \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 a^{4} d \tan^{4}{\left(c + d x \right)} - 140 i a^{4} d \tan^{3}{\left(c + d x \right)} - 210 a^{4} d \tan^{2}{\left(c + d x \right)} + 140 i a^{4} d \tan{\left(c + d x \right)} + 35 a^{4} d} - \frac{13 \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}}{35 a^{4} d \tan^{4}{\left(c + d x \right)} - 140 i a^{4} d \tan^{3}{\left(c + d x \right)} - 210 a^{4} d \tan^{2}{\left(c + d x \right)} + 140 i a^{4} d \tan{\left(c + d x \right)} + 35 a^{4} d} + \frac{12 i \sec{\left(c + d x \right)}}{35 a^{4} d \tan^{4}{\left(c + d x \right)} - 140 i a^{4} d \tan^{3}{\left(c + d x \right)} - 210 a^{4} d \tan^{2}{\left(c + d x \right)} + 140 i a^{4} d \tan{\left(c + d x \right)} + 35 a^{4} d} & \text{for}\: d \neq 0 \\\frac{x \sec{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*tan(c + d*x)**3*sec(c + d*x)/(35*a**4*d*tan(c + d*x)**4 - 140*I*a**4*d*tan(c + d*x)**3 - 210*a**4*d*tan(c + d*x)**2 + 140*I*a**4*d*tan(c + d*x) + 35*a**4*d) - 8*I*tan(c + d*x)**2*sec(c + d*x)/(35*a**4*d*tan(c + d*x)**4 - 140*I*a**4*d*tan(c + d*x)**3 - 210*a**4*d*tan(c + d*x)**2 + 140*I*a**4*d*tan(c + d*x) + 35*a**4*d) - 13*tan(c + d*x)*sec(c + d*x)/(35*a**4*d*tan(c + d*x)**4 - 140*I*a**4*d*tan(c + d*x)**3 - 210*a**4*d*tan(c + d*x)**2 + 140*I*a**4*d*tan(c + d*x) + 35*a**4*d) + 12*I*sec(c + d*x)/(35*a**4*d*tan(c + d*x)**4 - 140*I*a**4*d*tan(c + d*x)**3 - 210*a**4*d*tan(c + d*x)**2 + 140*I*a**4*d*tan(c + d*x) + 35*a**4*d), Ne(d, 0)), (x*sec(c)/(I*a*tan(c) + a)**4, True))","A",0
163,1,233,0,0.640645," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 1585446912 i a^{20} d^{5} e^{26 i c} e^{i d x} + 7927234560 i a^{20} d^{5} e^{24 i c} e^{- i d x} + 5284823040 i a^{20} d^{5} e^{22 i c} e^{- 3 i d x} + 3170893824 i a^{20} d^{5} e^{20 i c} e^{- 5 i d x} + 1132462080 i a^{20} d^{5} e^{18 i c} e^{- 7 i d x} + 176160768 i a^{20} d^{5} e^{16 i c} e^{- 9 i d x}\right) e^{- 25 i c}}{50734301184 a^{24} d^{6}} & \text{for}\: 50734301184 a^{24} d^{6} e^{25 i c} \neq 0 \\\frac{x \left(e^{10 i c} + 5 e^{8 i c} + 10 e^{6 i c} + 10 e^{4 i c} + 5 e^{2 i c} + 1\right) e^{- 9 i c}}{32 a^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1585446912*I*a**20*d**5*exp(26*I*c)*exp(I*d*x) + 7927234560*I*a**20*d**5*exp(24*I*c)*exp(-I*d*x) + 5284823040*I*a**20*d**5*exp(22*I*c)*exp(-3*I*d*x) + 3170893824*I*a**20*d**5*exp(20*I*c)*exp(-5*I*d*x) + 1132462080*I*a**20*d**5*exp(18*I*c)*exp(-7*I*d*x) + 176160768*I*a**20*d**5*exp(16*I*c)*exp(-9*I*d*x))*exp(-25*I*c)/(50734301184*a**24*d**6), Ne(50734301184*a**24*d**6*exp(25*I*c), 0)), (x*(exp(10*I*c) + 5*exp(8*I*c) + 10*exp(6*I*c) + 10*exp(4*I*c) + 5*exp(2*I*c) + 1)*exp(-9*I*c)/(32*a**4), True))","A",0
164,1,301,0,0.814508," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 167196136166129664 i a^{28} d^{7} e^{39 i c} e^{3 i d x} - 3511118859488722944 i a^{28} d^{7} e^{37 i c} e^{i d x} + 10533356578466168832 i a^{28} d^{7} e^{35 i c} e^{- i d x} + 5851864765814538240 i a^{28} d^{7} e^{33 i c} e^{- 3 i d x} + 3511118859488722944 i a^{28} d^{7} e^{31 i c} e^{- 5 i d x} + 1504765225495166976 i a^{28} d^{7} e^{29 i c} e^{- 7 i d x} + 390124317720969216 i a^{28} d^{7} e^{27 i c} e^{- 9 i d x} + 45598946227126272 i a^{28} d^{7} e^{25 i c} e^{- 11 i d x}\right) e^{- 36 i c}}{64203316287793790976 a^{32} d^{8}} & \text{for}\: 64203316287793790976 a^{32} d^{8} e^{36 i c} \neq 0 \\\frac{x \left(e^{14 i c} + 7 e^{12 i c} + 21 e^{10 i c} + 35 e^{8 i c} + 35 e^{6 i c} + 21 e^{4 i c} + 7 e^{2 i c} + 1\right) e^{- 11 i c}}{128 a^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-167196136166129664*I*a**28*d**7*exp(39*I*c)*exp(3*I*d*x) - 3511118859488722944*I*a**28*d**7*exp(37*I*c)*exp(I*d*x) + 10533356578466168832*I*a**28*d**7*exp(35*I*c)*exp(-I*d*x) + 5851864765814538240*I*a**28*d**7*exp(33*I*c)*exp(-3*I*d*x) + 3511118859488722944*I*a**28*d**7*exp(31*I*c)*exp(-5*I*d*x) + 1504765225495166976*I*a**28*d**7*exp(29*I*c)*exp(-7*I*d*x) + 390124317720969216*I*a**28*d**7*exp(27*I*c)*exp(-9*I*d*x) + 45598946227126272*I*a**28*d**7*exp(25*I*c)*exp(-11*I*d*x))*exp(-36*I*c)/(64203316287793790976*a**32*d**8), Ne(64203316287793790976*a**32*d**8*exp(36*I*c), 0)), (x*(exp(14*I*c) + 7*exp(12*I*c) + 21*exp(10*I*c) + 35*exp(8*I*c) + 35*exp(6*I*c) + 21*exp(4*I*c) + 7*exp(2*I*c) + 1)*exp(-11*I*c)/(128*a**4), True))","A",0
165,1,369,0,0.997876," ","integrate(cos(d*x+c)**5/(a+I*a*tan(d*x+c))**4,x)","\begin{cases} \frac{\left(- 1688246017625898163896320 i a^{36} d^{9} e^{54 i c} e^{5 i d x} - 25323690264388472458444800 i a^{36} d^{9} e^{52 i c} e^{3 i d x} - 303884283172661669501337600 i a^{36} d^{9} e^{50 i c} e^{i d x} + 709063327402877228836454400 i a^{36} d^{9} e^{48 i c} e^{- i d x} + 354531663701438614418227200 i a^{36} d^{9} e^{46 i c} e^{- 3 i d x} + 212718998220863168650936320 i a^{36} d^{9} e^{44 i c} e^{- 5 i d x} + 101294761057553889833779200 i a^{36} d^{9} e^{42 i c} e^{- 7 i d x} + 33764920352517963277926400 i a^{36} d^{9} e^{40 i c} e^{- 9 i d x} + 6906460981196856125030400 i a^{36} d^{9} e^{38 i c} e^{- 11 i d x} + 649325391394576216883200 i a^{36} d^{9} e^{36 i c} e^{- 13 i d x}\right) e^{- 49 i c}}{4321909805122299299574579200 a^{40} d^{10}} & \text{for}\: 4321909805122299299574579200 a^{40} d^{10} e^{49 i c} \neq 0 \\\frac{x \left(e^{18 i c} + 9 e^{16 i c} + 36 e^{14 i c} + 84 e^{12 i c} + 126 e^{10 i c} + 126 e^{8 i c} + 84 e^{6 i c} + 36 e^{4 i c} + 9 e^{2 i c} + 1\right) e^{- 13 i c}}{512 a^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1688246017625898163896320*I*a**36*d**9*exp(54*I*c)*exp(5*I*d*x) - 25323690264388472458444800*I*a**36*d**9*exp(52*I*c)*exp(3*I*d*x) - 303884283172661669501337600*I*a**36*d**9*exp(50*I*c)*exp(I*d*x) + 709063327402877228836454400*I*a**36*d**9*exp(48*I*c)*exp(-I*d*x) + 354531663701438614418227200*I*a**36*d**9*exp(46*I*c)*exp(-3*I*d*x) + 212718998220863168650936320*I*a**36*d**9*exp(44*I*c)*exp(-5*I*d*x) + 101294761057553889833779200*I*a**36*d**9*exp(42*I*c)*exp(-7*I*d*x) + 33764920352517963277926400*I*a**36*d**9*exp(40*I*c)*exp(-9*I*d*x) + 6906460981196856125030400*I*a**36*d**9*exp(38*I*c)*exp(-11*I*d*x) + 649325391394576216883200*I*a**36*d**9*exp(36*I*c)*exp(-13*I*d*x))*exp(-49*I*c)/(4321909805122299299574579200*a**40*d**10), Ne(4321909805122299299574579200*a**40*d**10*exp(49*I*c), 0)), (x*(exp(18*I*c) + 9*exp(16*I*c) + 36*exp(14*I*c) + 84*exp(12*I*c) + 126*exp(10*I*c) + 126*exp(8*I*c) + 84*exp(6*I*c) + 36*exp(4*I*c) + 9*exp(2*I*c) + 1)*exp(-13*I*c)/(512*a**4), True))","A",0
166,-1,0,0,0.000000," ","integrate(sec(d*x+c)**14/(a+I*a*tan(d*x+c))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,0,0,0,0.000000," ","integrate(sec(d*x+c)**12/(a+I*a*tan(d*x+c))**8,x)","\frac{\int \frac{\sec^{12}{\left(c + d x \right)}}{\tan^{8}{\left(c + d x \right)} - 8 i \tan^{7}{\left(c + d x \right)} - 28 \tan^{6}{\left(c + d x \right)} + 56 i \tan^{5}{\left(c + d x \right)} + 70 \tan^{4}{\left(c + d x \right)} - 56 i \tan^{3}{\left(c + d x \right)} - 28 \tan^{2}{\left(c + d x \right)} + 8 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{8}}"," ",0,"Integral(sec(c + d*x)**12/(tan(c + d*x)**8 - 8*I*tan(c + d*x)**7 - 28*tan(c + d*x)**6 + 56*I*tan(c + d*x)**5 + 70*tan(c + d*x)**4 - 56*I*tan(c + d*x)**3 - 28*tan(c + d*x)**2 + 8*I*tan(c + d*x) + 1), x)/a**8","F",0
168,0,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**8,x)","\frac{\int \frac{\sec^{10}{\left(c + d x \right)}}{\tan^{8}{\left(c + d x \right)} - 8 i \tan^{7}{\left(c + d x \right)} - 28 \tan^{6}{\left(c + d x \right)} + 56 i \tan^{5}{\left(c + d x \right)} + 70 \tan^{4}{\left(c + d x \right)} - 56 i \tan^{3}{\left(c + d x \right)} - 28 \tan^{2}{\left(c + d x \right)} + 8 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{8}}"," ",0,"Integral(sec(c + d*x)**10/(tan(c + d*x)**8 - 8*I*tan(c + d*x)**7 - 28*tan(c + d*x)**6 + 56*I*tan(c + d*x)**5 + 70*tan(c + d*x)**4 - 56*I*tan(c + d*x)**3 - 28*tan(c + d*x)**2 + 8*I*tan(c + d*x) + 1), x)/a**8","F",0
169,1,160,0,35.850387," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{i \sec^{8}{\left(c + d x \right)}}{8 a^{8} d \tan^{8}{\left(c + d x \right)} - 64 i a^{8} d \tan^{7}{\left(c + d x \right)} - 224 a^{8} d \tan^{6}{\left(c + d x \right)} + 448 i a^{8} d \tan^{5}{\left(c + d x \right)} + 560 a^{8} d \tan^{4}{\left(c + d x \right)} - 448 i a^{8} d \tan^{3}{\left(c + d x \right)} - 224 a^{8} d \tan^{2}{\left(c + d x \right)} + 64 i a^{8} d \tan{\left(c + d x \right)} + 8 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{8}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sec(c + d*x)**8/(8*a**8*d*tan(c + d*x)**8 - 64*I*a**8*d*tan(c + d*x)**7 - 224*a**8*d*tan(c + d*x)**6 + 448*I*a**8*d*tan(c + d*x)**5 + 560*a**8*d*tan(c + d*x)**4 - 448*I*a**8*d*tan(c + d*x)**3 - 224*a**8*d*tan(c + d*x)**2 + 64*I*a**8*d*tan(c + d*x) + 8*a**8*d), Ne(d, 0)), (x*sec(c)**8/(I*a*tan(c) + a)**8, True))","A",0
170,1,466,0,36.097255," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{i \tan^{2}{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}}{240 a^{8} d \tan^{8}{\left(c + d x \right)} - 1920 i a^{8} d \tan^{7}{\left(c + d x \right)} - 6720 a^{8} d \tan^{6}{\left(c + d x \right)} + 13440 i a^{8} d \tan^{5}{\left(c + d x \right)} + 16800 a^{8} d \tan^{4}{\left(c + d x \right)} - 13440 i a^{8} d \tan^{3}{\left(c + d x \right)} - 6720 a^{8} d \tan^{2}{\left(c + d x \right)} + 1920 i a^{8} d \tan{\left(c + d x \right)} + 240 a^{8} d} - \frac{8 \tan{\left(c + d x \right)} \sec^{6}{\left(c + d x \right)}}{240 a^{8} d \tan^{8}{\left(c + d x \right)} - 1920 i a^{8} d \tan^{7}{\left(c + d x \right)} - 6720 a^{8} d \tan^{6}{\left(c + d x \right)} + 13440 i a^{8} d \tan^{5}{\left(c + d x \right)} + 16800 a^{8} d \tan^{4}{\left(c + d x \right)} - 13440 i a^{8} d \tan^{3}{\left(c + d x \right)} - 6720 a^{8} d \tan^{2}{\left(c + d x \right)} + 1920 i a^{8} d \tan{\left(c + d x \right)} + 240 a^{8} d} + \frac{31 i \sec^{6}{\left(c + d x \right)}}{240 a^{8} d \tan^{8}{\left(c + d x \right)} - 1920 i a^{8} d \tan^{7}{\left(c + d x \right)} - 6720 a^{8} d \tan^{6}{\left(c + d x \right)} + 13440 i a^{8} d \tan^{5}{\left(c + d x \right)} + 16800 a^{8} d \tan^{4}{\left(c + d x \right)} - 13440 i a^{8} d \tan^{3}{\left(c + d x \right)} - 6720 a^{8} d \tan^{2}{\left(c + d x \right)} + 1920 i a^{8} d \tan{\left(c + d x \right)} + 240 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{6}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*tan(c + d*x)**2*sec(c + d*x)**6/(240*a**8*d*tan(c + d*x)**8 - 1920*I*a**8*d*tan(c + d*x)**7 - 6720*a**8*d*tan(c + d*x)**6 + 13440*I*a**8*d*tan(c + d*x)**5 + 16800*a**8*d*tan(c + d*x)**4 - 13440*I*a**8*d*tan(c + d*x)**3 - 6720*a**8*d*tan(c + d*x)**2 + 1920*I*a**8*d*tan(c + d*x) + 240*a**8*d) - 8*tan(c + d*x)*sec(c + d*x)**6/(240*a**8*d*tan(c + d*x)**8 - 1920*I*a**8*d*tan(c + d*x)**7 - 6720*a**8*d*tan(c + d*x)**6 + 13440*I*a**8*d*tan(c + d*x)**5 + 16800*a**8*d*tan(c + d*x)**4 - 13440*I*a**8*d*tan(c + d*x)**3 - 6720*a**8*d*tan(c + d*x)**2 + 1920*I*a**8*d*tan(c + d*x) + 240*a**8*d) + 31*I*sec(c + d*x)**6/(240*a**8*d*tan(c + d*x)**8 - 1920*I*a**8*d*tan(c + d*x)**7 - 6720*a**8*d*tan(c + d*x)**6 + 13440*I*a**8*d*tan(c + d*x)**5 + 16800*a**8*d*tan(c + d*x)**4 - 13440*I*a**8*d*tan(c + d*x)**3 - 6720*a**8*d*tan(c + d*x)**2 + 1920*I*a**8*d*tan(c + d*x) + 240*a**8*d), Ne(d, 0)), (x*sec(c)**6/(I*a*tan(c) + a)**8, True))","A",0
171,1,774,0,36.698430," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{i \tan^{4}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}}{960 a^{8} d \tan^{8}{\left(c + d x \right)} - 7680 i a^{8} d \tan^{7}{\left(c + d x \right)} - 26880 a^{8} d \tan^{6}{\left(c + d x \right)} + 53760 i a^{8} d \tan^{5}{\left(c + d x \right)} + 67200 a^{8} d \tan^{4}{\left(c + d x \right)} - 53760 i a^{8} d \tan^{3}{\left(c + d x \right)} - 26880 a^{8} d \tan^{2}{\left(c + d x \right)} + 7680 i a^{8} d \tan{\left(c + d x \right)} + 960 a^{8} d} + \frac{8 \tan^{3}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}}{960 a^{8} d \tan^{8}{\left(c + d x \right)} - 7680 i a^{8} d \tan^{7}{\left(c + d x \right)} - 26880 a^{8} d \tan^{6}{\left(c + d x \right)} + 53760 i a^{8} d \tan^{5}{\left(c + d x \right)} + 67200 a^{8} d \tan^{4}{\left(c + d x \right)} - 53760 i a^{8} d \tan^{3}{\left(c + d x \right)} - 26880 a^{8} d \tan^{2}{\left(c + d x \right)} + 7680 i a^{8} d \tan{\left(c + d x \right)} + 960 a^{8} d} - \frac{30 i \tan^{2}{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}}{960 a^{8} d \tan^{8}{\left(c + d x \right)} - 7680 i a^{8} d \tan^{7}{\left(c + d x \right)} - 26880 a^{8} d \tan^{6}{\left(c + d x \right)} + 53760 i a^{8} d \tan^{5}{\left(c + d x \right)} + 67200 a^{8} d \tan^{4}{\left(c + d x \right)} - 53760 i a^{8} d \tan^{3}{\left(c + d x \right)} - 26880 a^{8} d \tan^{2}{\left(c + d x \right)} + 7680 i a^{8} d \tan{\left(c + d x \right)} + 960 a^{8} d} - \frac{72 \tan{\left(c + d x \right)} \sec^{4}{\left(c + d x \right)}}{960 a^{8} d \tan^{8}{\left(c + d x \right)} - 7680 i a^{8} d \tan^{7}{\left(c + d x \right)} - 26880 a^{8} d \tan^{6}{\left(c + d x \right)} + 53760 i a^{8} d \tan^{5}{\left(c + d x \right)} + 67200 a^{8} d \tan^{4}{\left(c + d x \right)} - 53760 i a^{8} d \tan^{3}{\left(c + d x \right)} - 26880 a^{8} d \tan^{2}{\left(c + d x \right)} + 7680 i a^{8} d \tan{\left(c + d x \right)} + 960 a^{8} d} + \frac{129 i \sec^{4}{\left(c + d x \right)}}{960 a^{8} d \tan^{8}{\left(c + d x \right)} - 7680 i a^{8} d \tan^{7}{\left(c + d x \right)} - 26880 a^{8} d \tan^{6}{\left(c + d x \right)} + 53760 i a^{8} d \tan^{5}{\left(c + d x \right)} + 67200 a^{8} d \tan^{4}{\left(c + d x \right)} - 53760 i a^{8} d \tan^{3}{\left(c + d x \right)} - 26880 a^{8} d \tan^{2}{\left(c + d x \right)} + 7680 i a^{8} d \tan{\left(c + d x \right)} + 960 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{4}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*tan(c + d*x)**4*sec(c + d*x)**4/(960*a**8*d*tan(c + d*x)**8 - 7680*I*a**8*d*tan(c + d*x)**7 - 26880*a**8*d*tan(c + d*x)**6 + 53760*I*a**8*d*tan(c + d*x)**5 + 67200*a**8*d*tan(c + d*x)**4 - 53760*I*a**8*d*tan(c + d*x)**3 - 26880*a**8*d*tan(c + d*x)**2 + 7680*I*a**8*d*tan(c + d*x) + 960*a**8*d) + 8*tan(c + d*x)**3*sec(c + d*x)**4/(960*a**8*d*tan(c + d*x)**8 - 7680*I*a**8*d*tan(c + d*x)**7 - 26880*a**8*d*tan(c + d*x)**6 + 53760*I*a**8*d*tan(c + d*x)**5 + 67200*a**8*d*tan(c + d*x)**4 - 53760*I*a**8*d*tan(c + d*x)**3 - 26880*a**8*d*tan(c + d*x)**2 + 7680*I*a**8*d*tan(c + d*x) + 960*a**8*d) - 30*I*tan(c + d*x)**2*sec(c + d*x)**4/(960*a**8*d*tan(c + d*x)**8 - 7680*I*a**8*d*tan(c + d*x)**7 - 26880*a**8*d*tan(c + d*x)**6 + 53760*I*a**8*d*tan(c + d*x)**5 + 67200*a**8*d*tan(c + d*x)**4 - 53760*I*a**8*d*tan(c + d*x)**3 - 26880*a**8*d*tan(c + d*x)**2 + 7680*I*a**8*d*tan(c + d*x) + 960*a**8*d) - 72*tan(c + d*x)*sec(c + d*x)**4/(960*a**8*d*tan(c + d*x)**8 - 7680*I*a**8*d*tan(c + d*x)**7 - 26880*a**8*d*tan(c + d*x)**6 + 53760*I*a**8*d*tan(c + d*x)**5 + 67200*a**8*d*tan(c + d*x)**4 - 53760*I*a**8*d*tan(c + d*x)**3 - 26880*a**8*d*tan(c + d*x)**2 + 7680*I*a**8*d*tan(c + d*x) + 960*a**8*d) + 129*I*sec(c + d*x)**4/(960*a**8*d*tan(c + d*x)**8 - 7680*I*a**8*d*tan(c + d*x)**7 - 26880*a**8*d*tan(c + d*x)**6 + 53760*I*a**8*d*tan(c + d*x)**5 + 67200*a**8*d*tan(c + d*x)**4 - 53760*I*a**8*d*tan(c + d*x)**3 - 26880*a**8*d*tan(c + d*x)**2 + 7680*I*a**8*d*tan(c + d*x) + 960*a**8*d), Ne(d, 0)), (x*sec(c)**4/(I*a*tan(c) + a)**8, True))","A",0
172,1,1081,0,36.825180," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{i \tan^{6}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} - \frac{8 \tan^{5}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} + \frac{29 i \tan^{4}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} + \frac{64 \tan^{3}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} - \frac{99 i \tan^{2}{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} - \frac{120 \tan{\left(c + d x \right)} \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} + \frac{127 i \sec^{2}{\left(c + d x \right)}}{896 a^{8} d \tan^{8}{\left(c + d x \right)} - 7168 i a^{8} d \tan^{7}{\left(c + d x \right)} - 25088 a^{8} d \tan^{6}{\left(c + d x \right)} + 50176 i a^{8} d \tan^{5}{\left(c + d x \right)} + 62720 a^{8} d \tan^{4}{\left(c + d x \right)} - 50176 i a^{8} d \tan^{3}{\left(c + d x \right)} - 25088 a^{8} d \tan^{2}{\left(c + d x \right)} + 7168 i a^{8} d \tan{\left(c + d x \right)} + 896 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{2}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*tan(c + d*x)**6*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) - 8*tan(c + d*x)**5*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) + 29*I*tan(c + d*x)**4*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) + 64*tan(c + d*x)**3*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) - 99*I*tan(c + d*x)**2*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) - 120*tan(c + d*x)*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d) + 127*I*sec(c + d*x)**2/(896*a**8*d*tan(c + d*x)**8 - 7168*I*a**8*d*tan(c + d*x)**7 - 25088*a**8*d*tan(c + d*x)**6 + 50176*I*a**8*d*tan(c + d*x)**5 + 62720*a**8*d*tan(c + d*x)**4 - 50176*I*a**8*d*tan(c + d*x)**3 - 25088*a**8*d*tan(c + d*x)**2 + 7168*I*a**8*d*tan(c + d*x) + 896*a**8*d), Ne(d, 0)), (x*sec(c)**2/(I*a*tan(c) + a)**8, True))","A",0
173,1,326,0,0.747875," ","integrate(1/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{\left(22698142121947299840 i a^{56} d^{7} e^{70 i c} e^{- 2 i d x} + 39721748713407774720 i a^{56} d^{7} e^{68 i c} e^{- 4 i d x} + 52962331617877032960 i a^{56} d^{7} e^{66 i c} e^{- 6 i d x} + 49652185891759718400 i a^{56} d^{7} e^{64 i c} e^{- 8 i d x} + 31777398970726219776 i a^{56} d^{7} e^{62 i c} e^{- 10 i d x} + 13240582904469258240 i a^{56} d^{7} e^{60 i c} e^{- 12 i d x} + 3242591731706757120 i a^{56} d^{7} e^{58 i c} e^{- 14 i d x} + 354658470655426560 i a^{56} d^{7} e^{56 i c} e^{- 16 i d x}\right) e^{- 72 i c}}{1452681095804627189760 a^{64} d^{8}} & \text{for}\: 1452681095804627189760 a^{64} d^{8} e^{72 i c} \neq 0 \\x \left(\frac{\left(e^{16 i c} + 8 e^{14 i c} + 28 e^{12 i c} + 56 e^{10 i c} + 70 e^{8 i c} + 56 e^{6 i c} + 28 e^{4 i c} + 8 e^{2 i c} + 1\right) e^{- 16 i c}}{256 a^{8}} - \frac{1}{256 a^{8}}\right) & \text{otherwise} \end{cases} + \frac{x}{256 a^{8}}"," ",0,"Piecewise(((22698142121947299840*I*a**56*d**7*exp(70*I*c)*exp(-2*I*d*x) + 39721748713407774720*I*a**56*d**7*exp(68*I*c)*exp(-4*I*d*x) + 52962331617877032960*I*a**56*d**7*exp(66*I*c)*exp(-6*I*d*x) + 49652185891759718400*I*a**56*d**7*exp(64*I*c)*exp(-8*I*d*x) + 31777398970726219776*I*a**56*d**7*exp(62*I*c)*exp(-10*I*d*x) + 13240582904469258240*I*a**56*d**7*exp(60*I*c)*exp(-12*I*d*x) + 3242591731706757120*I*a**56*d**7*exp(58*I*c)*exp(-14*I*d*x) + 354658470655426560*I*a**56*d**7*exp(56*I*c)*exp(-16*I*d*x))*exp(-72*I*c)/(1452681095804627189760*a**64*d**8), Ne(1452681095804627189760*a**64*d**8*exp(72*I*c), 0)), (x*((exp(16*I*c) + 8*exp(14*I*c) + 28*exp(12*I*c) + 56*exp(10*I*c) + 70*exp(8*I*c) + 56*exp(6*I*c) + 28*exp(4*I*c) + 8*exp(2*I*c) + 1)*exp(-16*I*c)/(256*a**8) - 1/(256*a**8)), True)) + x/(256*a**8)","A",0
174,1,396,0,0.908179," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{\left(- 2495687119199326634196634435584 i a^{72} d^{9} e^{92 i c} e^{2 i d x} + 112305920363969698538848549601280 i a^{72} d^{9} e^{88 i c} e^{- 2 i d x} + 149741227151959598051798066135040 i a^{72} d^{9} e^{86 i c} e^{- 4 i d x} + 174698098343952864393764410490880 i a^{72} d^{9} e^{84 i c} e^{- 6 i d x} + 157228288509557577954387969441792 i a^{72} d^{9} e^{82 i c} e^{- 8 i d x} + 104818859006371718636258646294528 i a^{72} d^{9} e^{80 i c} e^{- 10 i d x} + 49913742383986532683932688711680 i a^{72} d^{9} e^{78 i c} e^{- 12 i d x} + 16043702909138528362692649943040 i a^{72} d^{9} e^{76 i c} e^{- 14 i d x} + 3119608898999158292745793044480 i a^{72} d^{9} e^{74 i c} e^{- 16 i d x} + 277298568799925181577403826176 i a^{72} d^{9} e^{72 i c} e^{- 18 i d x}\right) e^{- 90 i c}}{5111167220120220946834707324076032 a^{80} d^{10}} & \text{for}\: 5111167220120220946834707324076032 a^{80} d^{10} e^{90 i c} \neq 0 \\x \left(\frac{\left(e^{20 i c} + 10 e^{18 i c} + 45 e^{16 i c} + 120 e^{14 i c} + 210 e^{12 i c} + 252 e^{10 i c} + 210 e^{8 i c} + 120 e^{6 i c} + 45 e^{4 i c} + 10 e^{2 i c} + 1\right) e^{- 18 i c}}{1024 a^{8}} - \frac{5}{512 a^{8}}\right) & \text{otherwise} \end{cases} + \frac{5 x}{512 a^{8}}"," ",0,"Piecewise(((-2495687119199326634196634435584*I*a**72*d**9*exp(92*I*c)*exp(2*I*d*x) + 112305920363969698538848549601280*I*a**72*d**9*exp(88*I*c)*exp(-2*I*d*x) + 149741227151959598051798066135040*I*a**72*d**9*exp(86*I*c)*exp(-4*I*d*x) + 174698098343952864393764410490880*I*a**72*d**9*exp(84*I*c)*exp(-6*I*d*x) + 157228288509557577954387969441792*I*a**72*d**9*exp(82*I*c)*exp(-8*I*d*x) + 104818859006371718636258646294528*I*a**72*d**9*exp(80*I*c)*exp(-10*I*d*x) + 49913742383986532683932688711680*I*a**72*d**9*exp(78*I*c)*exp(-12*I*d*x) + 16043702909138528362692649943040*I*a**72*d**9*exp(76*I*c)*exp(-14*I*d*x) + 3119608898999158292745793044480*I*a**72*d**9*exp(74*I*c)*exp(-16*I*d*x) + 277298568799925181577403826176*I*a**72*d**9*exp(72*I*c)*exp(-18*I*d*x))*exp(-90*I*c)/(5111167220120220946834707324076032*a**80*d**10), Ne(5111167220120220946834707324076032*a**80*d**10*exp(90*I*c), 0)), (x*((exp(20*I*c) + 10*exp(18*I*c) + 45*exp(16*I*c) + 120*exp(14*I*c) + 210*exp(12*I*c) + 252*exp(10*I*c) + 210*exp(8*I*c) + 120*exp(6*I*c) + 45*exp(4*I*c) + 10*exp(2*I*c) + 1)*exp(-18*I*c)/(1024*a**8) - 5/(512*a**8)), True)) + 5*x/(512*a**8)","A",0
175,1,464,0,1.054841," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{\left(- 11433487528543532372369386809707411904921600 i a^{88} d^{11} e^{114 i c} e^{4 i d x} - 274403700685044776936865283432977885718118400 i a^{88} d^{11} e^{112 i c} e^{2 i d x} + 5030734512559154243842530196271261238165504000 i a^{88} d^{11} e^{108 i c} e^{- 2 i d x} + 5659576326629048524322846470805168892936192000 i a^{88} d^{11} e^{106 i c} e^{- 4 i d x} + 6036881415070985092611036235525513485798604800 i a^{88} d^{11} e^{104 i c} e^{- 6 i d x} + 5282271238187111956034656706084824300073779200 i a^{88} d^{11} e^{102 i c} e^{- 8 i d x} + 3622128849042591055566621741315308091479162880 i a^{88} d^{11} e^{100 i c} e^{- 10 i d x} + 1886525442209682841440948823601722964312064000 i a^{88} d^{11} e^{98 i c} e^{- 12 i d x} + 718676358937022034834647170895894462595072000 i a^{88} d^{11} e^{96 i c} e^{- 14 i d x} + 188652544220968284144094882360172296431206400 i a^{88} d^{11} e^{94 i c} e^{- 16 i d x} + 30489300076116086326318364825886431746457600 i a^{88} d^{11} e^{92 i c} e^{- 18 i d x} + 2286697505708706474473877361941482380984320 i a^{88} d^{11} e^{90 i c} e^{- 20 i d x}\right) e^{- 110 i c}}{187326259667657234388900033490246236650235494400 a^{96} d^{12}} & \text{for}\: 187326259667657234388900033490246236650235494400 a^{96} d^{12} e^{110 i c} \neq 0 \\x \left(\frac{\left(e^{24 i c} + 12 e^{22 i c} + 66 e^{20 i c} + 220 e^{18 i c} + 495 e^{16 i c} + 792 e^{14 i c} + 924 e^{12 i c} + 792 e^{10 i c} + 495 e^{8 i c} + 220 e^{6 i c} + 66 e^{4 i c} + 12 e^{2 i c} + 1\right) e^{- 20 i c}}{4096 a^{8}} - \frac{33}{2048 a^{8}}\right) & \text{otherwise} \end{cases} + \frac{33 x}{2048 a^{8}}"," ",0,"Piecewise(((-11433487528543532372369386809707411904921600*I*a**88*d**11*exp(114*I*c)*exp(4*I*d*x) - 274403700685044776936865283432977885718118400*I*a**88*d**11*exp(112*I*c)*exp(2*I*d*x) + 5030734512559154243842530196271261238165504000*I*a**88*d**11*exp(108*I*c)*exp(-2*I*d*x) + 5659576326629048524322846470805168892936192000*I*a**88*d**11*exp(106*I*c)*exp(-4*I*d*x) + 6036881415070985092611036235525513485798604800*I*a**88*d**11*exp(104*I*c)*exp(-6*I*d*x) + 5282271238187111956034656706084824300073779200*I*a**88*d**11*exp(102*I*c)*exp(-8*I*d*x) + 3622128849042591055566621741315308091479162880*I*a**88*d**11*exp(100*I*c)*exp(-10*I*d*x) + 1886525442209682841440948823601722964312064000*I*a**88*d**11*exp(98*I*c)*exp(-12*I*d*x) + 718676358937022034834647170895894462595072000*I*a**88*d**11*exp(96*I*c)*exp(-14*I*d*x) + 188652544220968284144094882360172296431206400*I*a**88*d**11*exp(94*I*c)*exp(-16*I*d*x) + 30489300076116086326318364825886431746457600*I*a**88*d**11*exp(92*I*c)*exp(-18*I*d*x) + 2286697505708706474473877361941482380984320*I*a**88*d**11*exp(90*I*c)*exp(-20*I*d*x))*exp(-110*I*c)/(187326259667657234388900033490246236650235494400*a**96*d**12), Ne(187326259667657234388900033490246236650235494400*a**96*d**12*exp(110*I*c), 0)), (x*((exp(24*I*c) + 12*exp(22*I*c) + 66*exp(20*I*c) + 220*exp(18*I*c) + 495*exp(16*I*c) + 792*exp(14*I*c) + 924*exp(12*I*c) + 792*exp(10*I*c) + 495*exp(8*I*c) + 220*exp(6*I*c) + 66*exp(4*I*c) + 12*exp(2*I*c) + 1)*exp(-20*I*c)/(4096*a**8) - 33/(2048*a**8)), True)) + 33*x/(2048*a**8)","A",0
176,0,0,0,0.000000," ","integrate(sec(d*x+c)**13/(a+I*a*tan(d*x+c))**8,x)","\frac{\int \frac{\sec^{13}{\left(c + d x \right)}}{\tan^{8}{\left(c + d x \right)} - 8 i \tan^{7}{\left(c + d x \right)} - 28 \tan^{6}{\left(c + d x \right)} + 56 i \tan^{5}{\left(c + d x \right)} + 70 \tan^{4}{\left(c + d x \right)} - 56 i \tan^{3}{\left(c + d x \right)} - 28 \tan^{2}{\left(c + d x \right)} + 8 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{8}}"," ",0,"Integral(sec(c + d*x)**13/(tan(c + d*x)**8 - 8*I*tan(c + d*x)**7 - 28*tan(c + d*x)**6 + 56*I*tan(c + d*x)**5 + 70*tan(c + d*x)**4 - 56*I*tan(c + d*x)**3 - 28*tan(c + d*x)**2 + 8*I*tan(c + d*x) + 1), x)/a**8","F",0
177,0,0,0,0.000000," ","integrate(sec(d*x+c)**11/(a+I*a*tan(d*x+c))**8,x)","\frac{\int \frac{\sec^{11}{\left(c + d x \right)}}{\tan^{8}{\left(c + d x \right)} - 8 i \tan^{7}{\left(c + d x \right)} - 28 \tan^{6}{\left(c + d x \right)} + 56 i \tan^{5}{\left(c + d x \right)} + 70 \tan^{4}{\left(c + d x \right)} - 56 i \tan^{3}{\left(c + d x \right)} - 28 \tan^{2}{\left(c + d x \right)} + 8 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{8}}"," ",0,"Integral(sec(c + d*x)**11/(tan(c + d*x)**8 - 8*I*tan(c + d*x)**7 - 28*tan(c + d*x)**6 + 56*I*tan(c + d*x)**5 + 70*tan(c + d*x)**4 - 56*I*tan(c + d*x)**3 - 28*tan(c + d*x)**2 + 8*I*tan(c + d*x) + 1), x)/a**8","F",0
178,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**8,x)","\frac{\int \frac{\sec^{9}{\left(c + d x \right)}}{\tan^{8}{\left(c + d x \right)} - 8 i \tan^{7}{\left(c + d x \right)} - 28 \tan^{6}{\left(c + d x \right)} + 56 i \tan^{5}{\left(c + d x \right)} + 70 \tan^{4}{\left(c + d x \right)} - 56 i \tan^{3}{\left(c + d x \right)} - 28 \tan^{2}{\left(c + d x \right)} + 8 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{8}}"," ",0,"Integral(sec(c + d*x)**9/(tan(c + d*x)**8 - 8*I*tan(c + d*x)**7 - 28*tan(c + d*x)**6 + 56*I*tan(c + d*x)**5 + 70*tan(c + d*x)**4 - 56*I*tan(c + d*x)**3 - 28*tan(c + d*x)**2 + 8*I*tan(c + d*x) + 1), x)/a**8","F",0
179,1,311,0,35.765249," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{\tan{\left(c + d x \right)} \sec^{7}{\left(c + d x \right)}}{63 a^{8} d \tan^{8}{\left(c + d x \right)} - 504 i a^{8} d \tan^{7}{\left(c + d x \right)} - 1764 a^{8} d \tan^{6}{\left(c + d x \right)} + 3528 i a^{8} d \tan^{5}{\left(c + d x \right)} + 4410 a^{8} d \tan^{4}{\left(c + d x \right)} - 3528 i a^{8} d \tan^{3}{\left(c + d x \right)} - 1764 a^{8} d \tan^{2}{\left(c + d x \right)} + 504 i a^{8} d \tan{\left(c + d x \right)} + 63 a^{8} d} + \frac{8 i \sec^{7}{\left(c + d x \right)}}{63 a^{8} d \tan^{8}{\left(c + d x \right)} - 504 i a^{8} d \tan^{7}{\left(c + d x \right)} - 1764 a^{8} d \tan^{6}{\left(c + d x \right)} + 3528 i a^{8} d \tan^{5}{\left(c + d x \right)} + 4410 a^{8} d \tan^{4}{\left(c + d x \right)} - 3528 i a^{8} d \tan^{3}{\left(c + d x \right)} - 1764 a^{8} d \tan^{2}{\left(c + d x \right)} + 504 i a^{8} d \tan{\left(c + d x \right)} + 63 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{7}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tan(c + d*x)*sec(c + d*x)**7/(63*a**8*d*tan(c + d*x)**8 - 504*I*a**8*d*tan(c + d*x)**7 - 1764*a**8*d*tan(c + d*x)**6 + 3528*I*a**8*d*tan(c + d*x)**5 + 4410*a**8*d*tan(c + d*x)**4 - 3528*I*a**8*d*tan(c + d*x)**3 - 1764*a**8*d*tan(c + d*x)**2 + 504*I*a**8*d*tan(c + d*x) + 63*a**8*d) + 8*I*sec(c + d*x)**7/(63*a**8*d*tan(c + d*x)**8 - 504*I*a**8*d*tan(c + d*x)**7 - 1764*a**8*d*tan(c + d*x)**6 + 3528*I*a**8*d*tan(c + d*x)**5 + 4410*a**8*d*tan(c + d*x)**4 - 3528*I*a**8*d*tan(c + d*x)**3 - 1764*a**8*d*tan(c + d*x)**2 + 504*I*a**8*d*tan(c + d*x) + 63*a**8*d), Ne(d, 0)), (x*sec(c)**7/(I*a*tan(c) + a)**8, True))","A",0
180,1,620,0,35.828569," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{2 \tan^{3}{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}}{1155 a^{8} d \tan^{8}{\left(c + d x \right)} - 9240 i a^{8} d \tan^{7}{\left(c + d x \right)} - 32340 a^{8} d \tan^{6}{\left(c + d x \right)} + 64680 i a^{8} d \tan^{5}{\left(c + d x \right)} + 80850 a^{8} d \tan^{4}{\left(c + d x \right)} - 64680 i a^{8} d \tan^{3}{\left(c + d x \right)} - 32340 a^{8} d \tan^{2}{\left(c + d x \right)} + 9240 i a^{8} d \tan{\left(c + d x \right)} + 1155 a^{8} d} - \frac{16 i \tan^{2}{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}}{1155 a^{8} d \tan^{8}{\left(c + d x \right)} - 9240 i a^{8} d \tan^{7}{\left(c + d x \right)} - 32340 a^{8} d \tan^{6}{\left(c + d x \right)} + 64680 i a^{8} d \tan^{5}{\left(c + d x \right)} + 80850 a^{8} d \tan^{4}{\left(c + d x \right)} - 64680 i a^{8} d \tan^{3}{\left(c + d x \right)} - 32340 a^{8} d \tan^{2}{\left(c + d x \right)} + 9240 i a^{8} d \tan{\left(c + d x \right)} + 1155 a^{8} d} - \frac{61 \tan{\left(c + d x \right)} \sec^{5}{\left(c + d x \right)}}{1155 a^{8} d \tan^{8}{\left(c + d x \right)} - 9240 i a^{8} d \tan^{7}{\left(c + d x \right)} - 32340 a^{8} d \tan^{6}{\left(c + d x \right)} + 64680 i a^{8} d \tan^{5}{\left(c + d x \right)} + 80850 a^{8} d \tan^{4}{\left(c + d x \right)} - 64680 i a^{8} d \tan^{3}{\left(c + d x \right)} - 32340 a^{8} d \tan^{2}{\left(c + d x \right)} + 9240 i a^{8} d \tan{\left(c + d x \right)} + 1155 a^{8} d} + \frac{152 i \sec^{5}{\left(c + d x \right)}}{1155 a^{8} d \tan^{8}{\left(c + d x \right)} - 9240 i a^{8} d \tan^{7}{\left(c + d x \right)} - 32340 a^{8} d \tan^{6}{\left(c + d x \right)} + 64680 i a^{8} d \tan^{5}{\left(c + d x \right)} + 80850 a^{8} d \tan^{4}{\left(c + d x \right)} - 64680 i a^{8} d \tan^{3}{\left(c + d x \right)} - 32340 a^{8} d \tan^{2}{\left(c + d x \right)} + 9240 i a^{8} d \tan{\left(c + d x \right)} + 1155 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{5}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*tan(c + d*x)**3*sec(c + d*x)**5/(1155*a**8*d*tan(c + d*x)**8 - 9240*I*a**8*d*tan(c + d*x)**7 - 32340*a**8*d*tan(c + d*x)**6 + 64680*I*a**8*d*tan(c + d*x)**5 + 80850*a**8*d*tan(c + d*x)**4 - 64680*I*a**8*d*tan(c + d*x)**3 - 32340*a**8*d*tan(c + d*x)**2 + 9240*I*a**8*d*tan(c + d*x) + 1155*a**8*d) - 16*I*tan(c + d*x)**2*sec(c + d*x)**5/(1155*a**8*d*tan(c + d*x)**8 - 9240*I*a**8*d*tan(c + d*x)**7 - 32340*a**8*d*tan(c + d*x)**6 + 64680*I*a**8*d*tan(c + d*x)**5 + 80850*a**8*d*tan(c + d*x)**4 - 64680*I*a**8*d*tan(c + d*x)**3 - 32340*a**8*d*tan(c + d*x)**2 + 9240*I*a**8*d*tan(c + d*x) + 1155*a**8*d) - 61*tan(c + d*x)*sec(c + d*x)**5/(1155*a**8*d*tan(c + d*x)**8 - 9240*I*a**8*d*tan(c + d*x)**7 - 32340*a**8*d*tan(c + d*x)**6 + 64680*I*a**8*d*tan(c + d*x)**5 + 80850*a**8*d*tan(c + d*x)**4 - 64680*I*a**8*d*tan(c + d*x)**3 - 32340*a**8*d*tan(c + d*x)**2 + 9240*I*a**8*d*tan(c + d*x) + 1155*a**8*d) + 152*I*sec(c + d*x)**5/(1155*a**8*d*tan(c + d*x)**8 - 9240*I*a**8*d*tan(c + d*x)**7 - 32340*a**8*d*tan(c + d*x)**6 + 64680*I*a**8*d*tan(c + d*x)**5 + 80850*a**8*d*tan(c + d*x)**4 - 64680*I*a**8*d*tan(c + d*x)**3 - 32340*a**8*d*tan(c + d*x)**2 + 9240*I*a**8*d*tan(c + d*x) + 1155*a**8*d), Ne(d, 0)), (x*sec(c)**5/(I*a*tan(c) + a)**8, True))","A",0
181,1,928,0,36.208663," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} - \frac{8 \tan^{5}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} + \frac{64 i \tan^{4}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} + \frac{236 \tan^{3}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} - \frac{544 i \tan^{2}{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} - \frac{911 \tan{\left(c + d x \right)} \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} + \frac{1240 i \sec^{3}{\left(c + d x \right)}}{9009 a^{8} d \tan^{8}{\left(c + d x \right)} - 72072 i a^{8} d \tan^{7}{\left(c + d x \right)} - 252252 a^{8} d \tan^{6}{\left(c + d x \right)} + 504504 i a^{8} d \tan^{5}{\left(c + d x \right)} + 630630 a^{8} d \tan^{4}{\left(c + d x \right)} - 504504 i a^{8} d \tan^{3}{\left(c + d x \right)} - 252252 a^{8} d \tan^{2}{\left(c + d x \right)} + 72072 i a^{8} d \tan{\left(c + d x \right)} + 9009 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec^{3}{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-8*tan(c + d*x)**5*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d) + 64*I*tan(c + d*x)**4*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d) + 236*tan(c + d*x)**3*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d) - 544*I*tan(c + d*x)**2*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d) - 911*tan(c + d*x)*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d) + 1240*I*sec(c + d*x)**3/(9009*a**8*d*tan(c + d*x)**8 - 72072*I*a**8*d*tan(c + d*x)**7 - 252252*a**8*d*tan(c + d*x)**6 + 504504*I*a**8*d*tan(c + d*x)**5 + 630630*a**8*d*tan(c + d*x)**4 - 504504*I*a**8*d*tan(c + d*x)**3 - 252252*a**8*d*tan(c + d*x)**2 + 72072*I*a**8*d*tan(c + d*x) + 9009*a**8*d), Ne(d, 0)), (x*sec(c)**3/(I*a*tan(c) + a)**8, True))","A",0
182,1,1221,0,36.317125," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{16 \tan^{7}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} - \frac{128 i \tan^{6}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} - \frac{456 \tan^{5}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} + \frac{960 i \tan^{4}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} + \frac{1350 \tan^{3}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} - \frac{1392 i \tan^{2}{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} - \frac{1181 \tan{\left(c + d x \right)} \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} + \frac{952 i \sec{\left(c + d x \right)}}{6435 a^{8} d \tan^{8}{\left(c + d x \right)} - 51480 i a^{8} d \tan^{7}{\left(c + d x \right)} - 180180 a^{8} d \tan^{6}{\left(c + d x \right)} + 360360 i a^{8} d \tan^{5}{\left(c + d x \right)} + 450450 a^{8} d \tan^{4}{\left(c + d x \right)} - 360360 i a^{8} d \tan^{3}{\left(c + d x \right)} - 180180 a^{8} d \tan^{2}{\left(c + d x \right)} + 51480 i a^{8} d \tan{\left(c + d x \right)} + 6435 a^{8} d} & \text{for}\: d \neq 0 \\\frac{x \sec{\left(c \right)}}{\left(i a \tan{\left(c \right)} + a\right)^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*tan(c + d*x)**7*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) - 128*I*tan(c + d*x)**6*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) - 456*tan(c + d*x)**5*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) + 960*I*tan(c + d*x)**4*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) + 1350*tan(c + d*x)**3*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) - 1392*I*tan(c + d*x)**2*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) - 1181*tan(c + d*x)*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d) + 952*I*sec(c + d*x)/(6435*a**8*d*tan(c + d*x)**8 - 51480*I*a**8*d*tan(c + d*x)**7 - 180180*a**8*d*tan(c + d*x)**6 + 360360*I*a**8*d*tan(c + d*x)**5 + 450450*a**8*d*tan(c + d*x)**4 - 360360*I*a**8*d*tan(c + d*x)**3 - 180180*a**8*d*tan(c + d*x)**2 + 51480*I*a**8*d*tan(c + d*x) + 6435*a**8*d), Ne(d, 0)), (x*sec(c)/(I*a*tan(c) + a)**8, True))","A",0
183,1,369,0,1.016890," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{\left(- 143500911498201343931187200 i a^{72} d^{9} e^{82 i c} e^{i d x} + 1291508203483812095380684800 i a^{72} d^{9} e^{80 i c} e^{- i d x} + 1722010937978416127174246400 i a^{72} d^{9} e^{78 i c} e^{- 3 i d x} + 2410815313169782578043944960 i a^{72} d^{9} e^{76 i c} e^{- 5 i d x} + 2583016406967624190761369600 i a^{72} d^{9} e^{74 i c} e^{- 7 i d x} + 2009012760974818815036620800 i a^{72} d^{9} e^{72 i c} e^{- 9 i d x} + 1095825142349901171838156800 i a^{72} d^{9} e^{70 i c} e^{- 11 i d x} + 397387139533480644732518400 i a^{72} d^{9} e^{68 i c} e^{- 13 i d x} + 86100546898920806358712320 i a^{72} d^{9} e^{66 i c} e^{- 15 i d x} + 8441230088129490819481600 i a^{72} d^{9} e^{64 i c} e^{- 17 i d x}\right) e^{- 81 i c}}{73472466687079088092767846400 a^{80} d^{10}} & \text{for}\: 73472466687079088092767846400 a^{80} d^{10} e^{81 i c} \neq 0 \\\frac{x \left(e^{18 i c} + 9 e^{16 i c} + 36 e^{14 i c} + 84 e^{12 i c} + 126 e^{10 i c} + 126 e^{8 i c} + 84 e^{6 i c} + 36 e^{4 i c} + 9 e^{2 i c} + 1\right) e^{- 17 i c}}{512 a^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-143500911498201343931187200*I*a**72*d**9*exp(82*I*c)*exp(I*d*x) + 1291508203483812095380684800*I*a**72*d**9*exp(80*I*c)*exp(-I*d*x) + 1722010937978416127174246400*I*a**72*d**9*exp(78*I*c)*exp(-3*I*d*x) + 2410815313169782578043944960*I*a**72*d**9*exp(76*I*c)*exp(-5*I*d*x) + 2583016406967624190761369600*I*a**72*d**9*exp(74*I*c)*exp(-7*I*d*x) + 2009012760974818815036620800*I*a**72*d**9*exp(72*I*c)*exp(-9*I*d*x) + 1095825142349901171838156800*I*a**72*d**9*exp(70*I*c)*exp(-11*I*d*x) + 397387139533480644732518400*I*a**72*d**9*exp(68*I*c)*exp(-13*I*d*x) + 86100546898920806358712320*I*a**72*d**9*exp(66*I*c)*exp(-15*I*d*x) + 8441230088129490819481600*I*a**72*d**9*exp(64*I*c)*exp(-17*I*d*x))*exp(-81*I*c)/(73472466687079088092767846400*a**80*d**10), Ne(73472466687079088092767846400*a**80*d**10*exp(81*I*c), 0)), (x*(exp(18*I*c) + 9*exp(16*I*c) + 36*exp(14*I*c) + 84*exp(12*I*c) + 126*exp(10*I*c) + 126*exp(8*I*c) + 84*exp(6*I*c) + 36*exp(4*I*c) + 9*exp(2*I*c) + 1)*exp(-17*I*c)/(512*a**8), True))","A",0
184,1,437,0,1.295985," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**8,x)","\begin{cases} \frac{\left(- 6279106898588469469113471576881812733952 i a^{88} d^{11} e^{103 i c} e^{3 i d x} - 207210527653419492480744562037099820220416 i a^{88} d^{11} e^{101 i c} e^{i d x} + 1036052638267097462403722810185499101102080 i a^{88} d^{11} e^{99 i c} e^{- i d x} + 1036052638267097462403722810185499101102080 i a^{88} d^{11} e^{97 i c} e^{- 3 i d x} + 1243263165920516954884467372222598921322496 i a^{88} d^{11} e^{95 i c} e^{- 5 i d x} + 1243263165920516954884467372222598921322496 i a^{88} d^{11} e^{93 i c} e^{- 7 i d x} + 966982462382624298243474622839799161028608 i a^{88} d^{11} e^{91 i c} e^{- 9 i d x} + 565119620872962252220212441919363146055680 i a^{88} d^{11} e^{89 i c} e^{- 11 i d x} + 239089070369330183631628340812038254100480 i a^{88} d^{11} e^{87 i c} e^{- 13 i d x} + 69070175884473164160248187345699940073472 i a^{88} d^{11} e^{85 i c} e^{- 15 i d x} + 12188854567848205440043797766888224718848 i a^{88} d^{11} e^{83 i c} e^{- 17 i d x} + 991437931356074126702127091086602010624 i a^{88} d^{11} e^{81 i c} e^{- 19 i d x}\right) e^{- 100 i c}}{38578832784927556418233169368361857437401088 a^{96} d^{12}} & \text{for}\: 38578832784927556418233169368361857437401088 a^{96} d^{12} e^{100 i c} \neq 0 \\\frac{x \left(e^{22 i c} + 11 e^{20 i c} + 55 e^{18 i c} + 165 e^{16 i c} + 330 e^{14 i c} + 462 e^{12 i c} + 462 e^{10 i c} + 330 e^{8 i c} + 165 e^{6 i c} + 55 e^{4 i c} + 11 e^{2 i c} + 1\right) e^{- 19 i c}}{2048 a^{8}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-6279106898588469469113471576881812733952*I*a**88*d**11*exp(103*I*c)*exp(3*I*d*x) - 207210527653419492480744562037099820220416*I*a**88*d**11*exp(101*I*c)*exp(I*d*x) + 1036052638267097462403722810185499101102080*I*a**88*d**11*exp(99*I*c)*exp(-I*d*x) + 1036052638267097462403722810185499101102080*I*a**88*d**11*exp(97*I*c)*exp(-3*I*d*x) + 1243263165920516954884467372222598921322496*I*a**88*d**11*exp(95*I*c)*exp(-5*I*d*x) + 1243263165920516954884467372222598921322496*I*a**88*d**11*exp(93*I*c)*exp(-7*I*d*x) + 966982462382624298243474622839799161028608*I*a**88*d**11*exp(91*I*c)*exp(-9*I*d*x) + 565119620872962252220212441919363146055680*I*a**88*d**11*exp(89*I*c)*exp(-11*I*d*x) + 239089070369330183631628340812038254100480*I*a**88*d**11*exp(87*I*c)*exp(-13*I*d*x) + 69070175884473164160248187345699940073472*I*a**88*d**11*exp(85*I*c)*exp(-15*I*d*x) + 12188854567848205440043797766888224718848*I*a**88*d**11*exp(83*I*c)*exp(-17*I*d*x) + 991437931356074126702127091086602010624*I*a**88*d**11*exp(81*I*c)*exp(-19*I*d*x))*exp(-100*I*c)/(38578832784927556418233169368361857437401088*a**96*d**12), Ne(38578832784927556418233169368361857437401088*a**96*d**12*exp(100*I*c), 0)), (x*(exp(22*I*c) + 11*exp(20*I*c) + 55*exp(18*I*c) + 165*exp(16*I*c) + 330*exp(14*I*c) + 462*exp(12*I*c) + 462*exp(10*I*c) + 330*exp(8*I*c) + 165*exp(6*I*c) + 55*exp(4*I*c) + 11*exp(2*I*c) + 1)*exp(-19*I*c)/(2048*a**8), True))","A",0
185,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)*(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(e*sec(c + d*x))**(5/2), x) + Integral((e*sec(c + d*x))**(5/2)*tan(c + d*x), x))","F",0
187,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(e*sec(c + d*x))**(3/2), x) + Integral((e*sec(c + d*x))**(3/2)*tan(c + d*x), x))","F",0
188,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \sqrt{e \sec{\left(c + d x \right)}}\right)\, dx + \int \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*sqrt(e*sec(c + d*x)), x) + Integral(sqrt(e*sec(c + d*x))*tan(c + d*x), x))","F",0
189,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*sec(d*x+c))**(1/2),x)","i a \left(\int \left(- \frac{i}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx\right)"," ",0,"I*a*(Integral(-I/sqrt(e*sec(c + d*x)), x) + Integral(tan(c + d*x)/sqrt(e*sec(c + d*x)), x))","F",0
190,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*sec(d*x+c))**(3/2),x)","i a \left(\int \left(- \frac{i}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(e*sec(c + d*x))**(3/2), x) + Integral(tan(c + d*x)/(e*sec(c + d*x))**(3/2), x))","F",0
191,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*sec(d*x+c))**(5/2),x)","i a \left(\int \left(- \frac{i}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(e*sec(c + d*x))**(5/2), x) + Integral(tan(c + d*x)/(e*sec(c + d*x))**(5/2), x))","F",0
192,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*sec(d*x+c))**(7/2),x)","i a \left(\int \left(- \frac{i}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(e*sec(c + d*x))**(7/2), x) + Integral(tan(c + d*x)/(e*sec(c + d*x))**(7/2), x))","F",0
193,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \left(- \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{2}{\left(c + d x \right)}\, dx + \int \left(- 2 i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(-(e*sec(c + d*x))**(3/2), x) + Integral((e*sec(c + d*x))**(3/2)*tan(c + d*x)**2, x) + Integral(-2*I*(e*sec(c + d*x))**(3/2)*tan(c + d*x), x))","F",0
194,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \left(- \sqrt{e \sec{\left(c + d x \right)}}\right)\, dx + \int \sqrt{e \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)}\, dx + \int \left(- 2 i \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(-sqrt(e*sec(c + d*x)), x) + Integral(sqrt(e*sec(c + d*x))*tan(c + d*x)**2, x) + Integral(-2*I*sqrt(e*sec(c + d*x))*tan(c + d*x), x))","F",0
195,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(1/2),x)","- a^{2} \left(\int \left(- \frac{1}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx + \int \frac{\tan^{2}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \left(- \frac{2 i \tan{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/sqrt(e*sec(c + d*x)), x) + Integral(tan(c + d*x)**2/sqrt(e*sec(c + d*x)), x) + Integral(-2*I*tan(c + d*x)/sqrt(e*sec(c + d*x)), x))","F",0
196,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(3/2),x)","- a^{2} \left(\int \left(- \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx + \int \frac{\tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \left(- \frac{2 i \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/(e*sec(c + d*x))**(3/2), x) + Integral(tan(c + d*x)**2/(e*sec(c + d*x))**(3/2), x) + Integral(-2*I*tan(c + d*x)/(e*sec(c + d*x))**(3/2), x))","F",0
197,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(5/2),x)","- a^{2} \left(\int \left(- \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx + \int \frac{\tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \left(- \frac{2 i \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/(e*sec(c + d*x))**(5/2), x) + Integral(tan(c + d*x)**2/(e*sec(c + d*x))**(5/2), x) + Integral(-2*I*tan(c + d*x)/(e*sec(c + d*x))**(5/2), x))","F",0
198,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(7/2),x)","- a^{2} \left(\int \left(- \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\right)\, dx + \int \frac{\tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx + \int \left(- \frac{2 i \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/(e*sec(c + d*x))**(7/2), x) + Integral(tan(c + d*x)**2/(e*sec(c + d*x))**(7/2), x) + Integral(-2*I*tan(c + d*x)/(e*sec(c + d*x))**(7/2), x))","F",0
199,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**2/(e*sec(d*x+c))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)*(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)*(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx + \int \left(- 3 \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{3}{\left(c + d x \right)}\, dx + \int \left(- 3 i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*(e*sec(c + d*x))**(3/2), x) + Integral(-3*(e*sec(c + d*x))**(3/2)*tan(c + d*x), x) + Integral((e*sec(c + d*x))**(3/2)*tan(c + d*x)**3, x) + Integral(-3*I*(e*sec(c + d*x))**(3/2)*tan(c + d*x)**2, x))","F",0
204,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \sqrt{e \sec{\left(c + d x \right)}}\, dx + \int \left(- 3 \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)}\right)\, dx + \int \sqrt{e \sec{\left(c + d x \right)}} \tan^{3}{\left(c + d x \right)}\, dx + \int \left(- 3 i \sqrt{e \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*sqrt(e*sec(c + d*x)), x) + Integral(-3*sqrt(e*sec(c + d*x))*tan(c + d*x), x) + Integral(sqrt(e*sec(c + d*x))*tan(c + d*x)**3, x) + Integral(-3*I*sqrt(e*sec(c + d*x))*tan(c + d*x)**2, x))","F",0
205,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(1/2),x)","- i a^{3} \left(\int \frac{i}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \left(- \frac{3 \tan{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx + \int \frac{\tan^{3}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \left(- \frac{3 i \tan^{2}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I/sqrt(e*sec(c + d*x)), x) + Integral(-3*tan(c + d*x)/sqrt(e*sec(c + d*x)), x) + Integral(tan(c + d*x)**3/sqrt(e*sec(c + d*x)), x) + Integral(-3*I*tan(c + d*x)**2/sqrt(e*sec(c + d*x)), x))","F",0
206,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(3/2),x)","- i a^{3} \left(\int \frac{i}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \left(- \frac{3 \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx + \int \frac{\tan^{3}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \left(- \frac{3 i \tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I/(e*sec(c + d*x))**(3/2), x) + Integral(-3*tan(c + d*x)/(e*sec(c + d*x))**(3/2), x) + Integral(tan(c + d*x)**3/(e*sec(c + d*x))**(3/2), x) + Integral(-3*I*tan(c + d*x)**2/(e*sec(c + d*x))**(3/2), x))","F",0
207,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(5/2),x)","- i a^{3} \left(\int \frac{i}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \left(- \frac{3 \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx + \int \frac{\tan^{3}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \left(- \frac{3 i \tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I/(e*sec(c + d*x))**(5/2), x) + Integral(-3*tan(c + d*x)/(e*sec(c + d*x))**(5/2), x) + Integral(tan(c + d*x)**3/(e*sec(c + d*x))**(5/2), x) + Integral(-3*I*tan(c + d*x)**2/(e*sec(c + d*x))**(5/2), x))","F",0
208,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**3/(e*sec(d*x+c))**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**4,x)","a^{4} \left(\int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx + \int \left(- 6 \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{2}{\left(c + d x \right)}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{4}{\left(c + d x \right)}\, dx + \int 4 i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)}\, dx + \int \left(- 4 i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{3}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"a**4*(Integral((e*sec(c + d*x))**(3/2), x) + Integral(-6*(e*sec(c + d*x))**(3/2)*tan(c + d*x)**2, x) + Integral((e*sec(c + d*x))**(3/2)*tan(c + d*x)**4, x) + Integral(4*I*(e*sec(c + d*x))**(3/2)*tan(c + d*x), x) + Integral(-4*I*(e*sec(c + d*x))**(3/2)*tan(c + d*x)**3, x))","F",0
214,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**4,x)","a^{4} \left(\int \sqrt{e \sec{\left(c + d x \right)}}\, dx + \int \left(- 6 \sqrt{e \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)}\right)\, dx + \int \sqrt{e \sec{\left(c + d x \right)}} \tan^{4}{\left(c + d x \right)}\, dx + \int 4 i \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)}\, dx + \int \left(- 4 i \sqrt{e \sec{\left(c + d x \right)}} \tan^{3}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"a**4*(Integral(sqrt(e*sec(c + d*x)), x) + Integral(-6*sqrt(e*sec(c + d*x))*tan(c + d*x)**2, x) + Integral(sqrt(e*sec(c + d*x))*tan(c + d*x)**4, x) + Integral(4*I*sqrt(e*sec(c + d*x))*tan(c + d*x), x) + Integral(-4*I*sqrt(e*sec(c + d*x))*tan(c + d*x)**3, x))","F",0
215,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(1/2),x)","a^{4} \left(\int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \left(- \frac{6 \tan^{2}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx + \int \frac{\tan^{4}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \frac{4 i \tan{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx + \int \left(- \frac{4 i \tan^{3}{\left(c + d x \right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\right)\, dx\right)"," ",0,"a**4*(Integral(1/sqrt(e*sec(c + d*x)), x) + Integral(-6*tan(c + d*x)**2/sqrt(e*sec(c + d*x)), x) + Integral(tan(c + d*x)**4/sqrt(e*sec(c + d*x)), x) + Integral(4*I*tan(c + d*x)/sqrt(e*sec(c + d*x)), x) + Integral(-4*I*tan(c + d*x)**3/sqrt(e*sec(c + d*x)), x))","F",0
216,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(3/2),x)","a^{4} \left(\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \left(- \frac{6 \tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx + \int \frac{\tan^{4}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \frac{4 i \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx + \int \left(- \frac{4 i \tan^{3}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx\right)"," ",0,"a**4*(Integral((e*sec(c + d*x))**(-3/2), x) + Integral(-6*tan(c + d*x)**2/(e*sec(c + d*x))**(3/2), x) + Integral(tan(c + d*x)**4/(e*sec(c + d*x))**(3/2), x) + Integral(4*I*tan(c + d*x)/(e*sec(c + d*x))**(3/2), x) + Integral(-4*I*tan(c + d*x)**3/(e*sec(c + d*x))**(3/2), x))","F",0
217,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(5/2),x)","a^{4} \left(\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \left(- \frac{6 \tan^{2}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx + \int \frac{\tan^{4}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \frac{4 i \tan{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx + \int \left(- \frac{4 i \tan^{3}{\left(c + d x \right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\right)\, dx\right)"," ",0,"a**4*(Integral((e*sec(c + d*x))**(-5/2), x) + Integral(-6*tan(c + d*x)**2/(e*sec(c + d*x))**(5/2), x) + Integral(tan(c + d*x)**4/(e*sec(c + d*x))**(5/2), x) + Integral(4*I*tan(c + d*x)/(e*sec(c + d*x))**(5/2), x) + Integral(-4*I*tan(c + d*x)**3/(e*sec(c + d*x))**(5/2), x))","F",0
218,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
221,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
222,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**4/(e*sec(d*x+c))**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
223,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(11/2)/(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(9/2)/(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
225,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
226,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((e*sec(c + d*x))**(5/2)/(tan(c + d*x) - I), x)/a","F",0
227,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((e*sec(c + d*x))**(3/2)/(tan(c + d*x) - I), x)/a","F",0
228,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral(sqrt(e*sec(c + d*x))/(tan(c + d*x) - I), x)/a","F",0
229,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)} - i \sqrt{e \sec{\left(c + d x \right)}}}\, dx}{a}"," ",0,"-I*Integral(1/(sqrt(e*sec(c + d*x))*tan(c + d*x) - I*sqrt(e*sec(c + d*x))), x)/a","F",0
230,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)} - i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx}{a}"," ",0,"-I*Integral(1/((e*sec(c + d*x))**(3/2)*tan(c + d*x) - I*(e*sec(c + d*x))**(3/2)), x)/a","F",0
231,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}} \tan{\left(c + d x \right)} - i \left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx}{a}"," ",0,"-I*Integral(1/((e*sec(c + d*x))**(5/2)*tan(c + d*x) - I*(e*sec(c + d*x))**(5/2)), x)/a","F",0
232,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}} \tan{\left(c + d x \right)} - i \left(e \sec{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx}{a}"," ",0,"-I*Integral(1/((e*sec(c + d*x))**(7/2)*tan(c + d*x) - I*(e*sec(c + d*x))**(7/2)), x)/a","F",0
233,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(15/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(13/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(11/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(9/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((e*sec(c + d*x))**(5/2)/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
239,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((e*sec(c + d*x))**(3/2)/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
240,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sqrt(e*sec(c + d*x))/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
241,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)} - 2 i \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)} - \sqrt{e \sec{\left(c + d x \right)}}}\, dx}{a^{2}}"," ",0,"-Integral(1/(sqrt(e*sec(c + d*x))*tan(c + d*x)**2 - 2*I*sqrt(e*sec(c + d*x))*tan(c + d*x) - sqrt(e*sec(c + d*x))), x)/a**2","F",0
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244,-1,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(15/2)/(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(13/2)/(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(11/2)/(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(9/2)/(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral((e*sec(c + d*x))**(5/2)/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
251,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral((e*sec(c + d*x))**(3/2)/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
252,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral(sqrt(e*sec(c + d*x))/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
253,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \tan^{3}{\left(c + d x \right)} - 3 i \sqrt{e \sec{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)} - 3 \sqrt{e \sec{\left(c + d x \right)}} \tan{\left(c + d x \right)} + i \sqrt{e \sec{\left(c + d x \right)}}}\, dx}{a^{3}}"," ",0,"I*Integral(1/(sqrt(e*sec(c + d*x))*tan(c + d*x)**3 - 3*I*sqrt(e*sec(c + d*x))*tan(c + d*x)**2 - 3*sqrt(e*sec(c + d*x))*tan(c + d*x) + I*sqrt(e*sec(c + d*x))), x)/a**3","F",0
254,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{3}{\left(c + d x \right)} - 3 i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan^{2}{\left(c + d x \right)} - 3 \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \tan{\left(c + d x \right)} + i \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx}{a^{3}}"," ",0,"I*Integral(1/((e*sec(c + d*x))**(3/2)*tan(c + d*x)**3 - 3*I*(e*sec(c + d*x))**(3/2)*tan(c + d*x)**2 - 3*(e*sec(c + d*x))**(3/2)*tan(c + d*x) + I*(e*sec(c + d*x))**(3/2)), x)/a**3","F",0
255,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(15/2)/(a+I*a*tan(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(13/2)/(a+I*a*tan(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(11/2)/(a+I*a*tan(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(9/2)/(a+I*a*tan(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral((e*sec(c + d*x))**(5/2)/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
261,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral((e*sec(c + d*x))**(3/2)/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
262,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**4,x)","\frac{\int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\tan^{4}{\left(c + d x \right)} - 4 i \tan^{3}{\left(c + d x \right)} - 6 \tan^{2}{\left(c + d x \right)} + 4 i \tan{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(sqrt(e*sec(c + d*x))/(tan(c + d*x)**4 - 4*I*tan(c + d*x)**3 - 6*tan(c + d*x)**2 + 4*I*tan(c + d*x) + 1), x)/a**4","F",0
263,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)*(a+I*a*tan(f*x+e)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)*(a+I*a*tan(f*x+e)),x)","i a \left(\int \left(- i \sqrt[3]{d \sec{\left(e + f x \right)}}\right)\, dx + \int \sqrt[3]{d \sec{\left(e + f x \right)}} \tan{\left(e + f x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(d*sec(e + f*x))**(1/3), x) + Integral((d*sec(e + f*x))**(1/3)*tan(e + f*x), x))","F",0
265,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))/(d*sec(f*x+e))**(1/3),x)","i a \left(\int \left(- \frac{i}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\right)\, dx + \int \frac{\tan{\left(e + f x \right)}}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(d*sec(e + f*x))**(1/3), x) + Integral(tan(e + f*x)/(d*sec(e + f*x))**(1/3), x))","F",0
266,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))/(d*sec(f*x+e))**(5/3),x)","i a \left(\int \left(- \frac{i}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\right)\, dx + \int \frac{\tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(d*sec(e + f*x))**(5/3), x) + Integral(tan(e + f*x)/(d*sec(e + f*x))**(5/3), x))","F",0
267,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)*(a+I*a*tan(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
268,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)*(a+I*a*tan(f*x+e))**2,x)","- a^{2} \left(\int \left(- \sqrt[3]{d \sec{\left(e + f x \right)}}\right)\, dx + \int \sqrt[3]{d \sec{\left(e + f x \right)}} \tan^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 i \sqrt[3]{d \sec{\left(e + f x \right)}} \tan{\left(e + f x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(-(d*sec(e + f*x))**(1/3), x) + Integral((d*sec(e + f*x))**(1/3)*tan(e + f*x)**2, x) + Integral(-2*I*(d*sec(e + f*x))**(1/3)*tan(e + f*x), x))","F",0
269,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))**2/(d*sec(f*x+e))**(1/3),x)","- a^{2} \left(\int \left(- \frac{1}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\right)\, dx + \int \frac{\tan^{2}{\left(e + f x \right)}}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx + \int \left(- \frac{2 i \tan{\left(e + f x \right)}}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/(d*sec(e + f*x))**(1/3), x) + Integral(tan(e + f*x)**2/(d*sec(e + f*x))**(1/3), x) + Integral(-2*I*tan(e + f*x)/(d*sec(e + f*x))**(1/3), x))","F",0
270,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))**2/(d*sec(f*x+e))**(5/3),x)","- a^{2} \left(\int \left(- \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\right)\, dx + \int \frac{\tan^{2}{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx + \int \left(- \frac{2 i \tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\right)\, dx\right)"," ",0,"-a**2*(Integral(-1/(d*sec(e + f*x))**(5/3), x) + Integral(tan(e + f*x)**2/(d*sec(e + f*x))**(5/3), x) + Integral(-2*I*tan(e + f*x)/(d*sec(e + f*x))**(5/3), x))","F",0
271,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)/(a+I*a*tan(f*x+e)),x)","- \frac{i \int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}{\tan{\left(e + f x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((d*sec(e + f*x))**(5/3)/(tan(e + f*x) - I), x)/a","F",0
272,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)/(a+I*a*tan(f*x+e)),x)","- \frac{i \int \frac{\sqrt[3]{d \sec{\left(e + f x \right)}}}{\tan{\left(e + f x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((d*sec(e + f*x))**(1/3)/(tan(e + f*x) - I), x)/a","F",0
273,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/3)/(a+I*a*tan(f*x+e)),x)","- \frac{i \int \frac{1}{\sqrt[3]{d \sec{\left(e + f x \right)}} \tan{\left(e + f x \right)} - i \sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx}{a}"," ",0,"-I*Integral(1/((d*sec(e + f*x))**(1/3)*tan(e + f*x) - I*(d*sec(e + f*x))**(1/3)), x)/a","F",0
274,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/3)/(a+I*a*tan(f*x+e)),x)","- \frac{i \int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \tan{\left(e + f x \right)} - i \left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx}{a}"," ",0,"-I*Integral(1/((d*sec(e + f*x))**(5/3)*tan(e + f*x) - I*(d*sec(e + f*x))**(5/3)), x)/a","F",0
275,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)/(a+I*a*tan(f*x+e))**2,x)","- \frac{\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}{\tan^{2}{\left(e + f x \right)} - 2 i \tan{\left(e + f x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((d*sec(e + f*x))**(5/3)/(tan(e + f*x)**2 - 2*I*tan(e + f*x) - 1), x)/a**2","F",0
276,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)/(a+I*a*tan(f*x+e))**2,x)","- \frac{\int \frac{\sqrt[3]{d \sec{\left(e + f x \right)}}}{\tan^{2}{\left(e + f x \right)} - 2 i \tan{\left(e + f x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((d*sec(e + f*x))**(1/3)/(tan(e + f*x)**2 - 2*I*tan(e + f*x) - 1), x)/a**2","F",0
277,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/3)/(a+I*a*tan(f*x+e))**2,x)","- \frac{\int \frac{1}{\sqrt[3]{d \sec{\left(e + f x \right)}} \tan^{2}{\left(e + f x \right)} - 2 i \sqrt[3]{d \sec{\left(e + f x \right)}} \tan{\left(e + f x \right)} - \sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx}{a^{2}}"," ",0,"-Integral(1/((d*sec(e + f*x))**(1/3)*tan(e + f*x)**2 - 2*I*(d*sec(e + f*x))**(1/3)*tan(e + f*x) - (d*sec(e + f*x))**(1/3)), x)/a**2","F",0
278,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/3)/(a+I*a*tan(f*x+e))**2,x)","- \frac{\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \tan^{2}{\left(e + f x \right)} - 2 i \left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \tan{\left(e + f x \right)} - \left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx}{a^{2}}"," ",0,"-Integral(1/((d*sec(e + f*x))**(5/3)*tan(e + f*x)**2 - 2*I*(d*sec(e + f*x))**(5/3)*tan(e + f*x) - (d*sec(e + f*x))**(5/3)), x)/a**2","F",0
279,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{8}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**8, x)","F",0
280,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**6, x)","F",0
281,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**4, x)","F",0
282,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**2, x)","F",0
283,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*cos(c + d*x)**2, x)","F",0
284,0,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \cos^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*cos(c + d*x)**4, x)","F",0
285,-1,0,0,0.000000," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,0,0,0,0.000000," ","integrate(sec(d*x+c)**7*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{7}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**7, x)","F",0
287,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**5, x)","F",0
288,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x)**3, x)","F",0
289,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*sec(c + d*x), x)","F",0
290,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))*cos(c + d*x), x)","F",0
291,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,-1,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
293,-1,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,-1,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
295,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*sec(c + d*x)**4, x)","F",0
296,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*sec(c + d*x)**2, x)","F",0
297,-1,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*sec(c + d*x)**5, x)","F",0
301,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*sec(c + d*x)**3, x)","F",0
302,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*sec(c + d*x), x)","F",0
303,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)*cos(c + d*x), x)","F",0
304,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,-1,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
306,-1,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
307,-1,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
308,-1,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
309,-1,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
310,-1,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
312,-1,0,0,0.000000," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
313,-1,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
314,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**(5/2),x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(5/2)*sec(c + d*x), x)","F",0
315,-1,0,0,0.000000," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
316,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
317,-1,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
318,-1,0,0,0.000000," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
319,-1,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,-1,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
321,-1,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
322,-1,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
323,-1,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
324,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
325,-1,0,0,0.000000," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,-1,0,0,0.000000," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
329,-1,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,-1,0,0,0.000000," ","integrate(cos(d*x+c)**7*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
331,-1,0,0,0.000000," ","integrate(cos(d*x+c)**9*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,-1,0,0,0.000000," ","integrate(cos(d*x+c)**11*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
333,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{8}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**8/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
334,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**6/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
335,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**4/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
336,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**2/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
337,0,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\cos^{2}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(cos(c + d*x)**2/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
338,0,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\cos^{4}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(cos(c + d*x)**4/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
339,0,0,0,0.000000," ","integrate(cos(d*x+c)**6/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\cos^{6}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(cos(c + d*x)**6/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
340,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{9}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**9/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
341,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**7/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
342,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**5/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
343,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)**3/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
344,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sec{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sec(c + d*x)/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
345,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\cos{\left(c + d x \right)}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(cos(c + d*x)/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
346,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
347,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{8}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**8/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
348,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
349,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
350,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
351,0,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\cos^{2}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)**2/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
352,0,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\cos^{4}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)**4/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
353,0,0,0,0.000000," ","integrate(cos(d*x+c)**6/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\cos^{6}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)**6/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
354,-1,0,0,0.000000," ","integrate(sec(d*x+c)**11/(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
355,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{9}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**9/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
356,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**7/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
357,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
358,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
359,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sec{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
360,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\cos{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
361,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
362,-1,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{8}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**8/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
364,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
365,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
366,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
367,0,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\cos^{2}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)**2/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
368,0,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\cos^{4}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)**4/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
369,-1,0,0,0.000000," ","integrate(sec(d*x+c)**13/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
370,-1,0,0,0.000000," ","integrate(sec(d*x+c)**11/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,0,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{9}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**9/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
372,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**7/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
373,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
374,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
375,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sec{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
376,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\cos{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(c + d*x)/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
377,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
378,-1,0,0,0.000000," ","integrate(sec(d*x+c)**10/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
379,-1,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
380,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
381,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
382,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
383,-1,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
384,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
385,-1,0,0,0.000000," ","integrate(sec(d*x+c)**13/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
386,-1,0,0,0.000000," ","integrate(sec(d*x+c)**11/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
387,-1,0,0,0.000000," ","integrate(sec(d*x+c)**9/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
388,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**7/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
389,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
390,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
391,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+I*a*tan(d*x+c))**(7/2),x)","\int \frac{\sec{\left(c + d x \right)}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(sec(c + d*x)/(I*a*(tan(c + d*x) - I))**(7/2), x)","F",0
392,-1,0,0,0.000000," ","integrate(cos(d*x+c)/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
393,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
394,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3/2)*sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
395,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{e \sec{\left(c + d x \right)}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))*sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
396,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*sec(d*x+c))**(1/2),x)","\int \frac{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))/sqrt(e*sec(c + d*x)), x)","F",0
397,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*sec(d*x+c))**(3/2),x)","\int \frac{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))/(e*sec(c + d*x))**(3/2), x)","F",0
398,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*sec(d*x+c))**(5/2),x)","\int \frac{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))/(e*sec(c + d*x))**(5/2), x)","F",0
399,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*sec(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
402,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**(3/2),x)","\int \sqrt{e \sec{\left(c + d x \right)}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))*(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
403,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(3/2)/(e*sec(d*x+c))**(1/2),x)","\int \frac{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)/sqrt(e*sec(c + d*x)), x)","F",0
404,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(3/2)/(e*sec(d*x+c))**(3/2),x)","\int \frac{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**(3/2)/(e*sec(c + d*x))**(3/2), x)","F",0
405,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(3/2)/(e*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(3/2)/(e*sec(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(3/2)/(e*sec(d*x+c))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
415,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(5/2)/(e*sec(d*x+c))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
416,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
417,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3/2)/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
418,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
419,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/(sqrt(e*sec(c + d*x))*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/((e*sec(c + d*x))**(3/2)*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
421,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/((e*sec(c + d*x))**(5/2)*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
422,-1,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
423,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
424,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3/2)/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
426,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
427,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(e*sec(c + d*x))*(I*a*(tan(c + d*x) - I))**(3/2)), x)","F",0
428,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((e*sec(c + d*x))**(3/2)*(I*a*(tan(c + d*x) - I))**(3/2)), x)","F",0
429,-1,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
430,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(9/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
431,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
432,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
433,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3/2)/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
434,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\sqrt{e \sec{\left(c + d x \right)}}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
435,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{1}{\sqrt{e \sec{\left(c + d x \right)}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/(sqrt(e*sec(c + d*x))*(I*a*(tan(c + d*x) - I))**(5/2)), x)","F",0
436,-1,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
437,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(7/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
438,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
439,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(2/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{\frac{2}{3}}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral((e*sec(c + d*x))**(2/3)/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
440,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sqrt[3]{e \sec{\left(c + d x \right)}}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral((e*sec(c + d*x))**(1/3)/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
441,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(1/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt[3]{e \sec{\left(c + d x \right)}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/((e*sec(c + d*x))**(1/3)*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
442,0,0,0,0.000000," ","integrate(1/(e*sec(d*x+c))**(4/3)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{4}{3}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/((e*sec(c + d*x))**(4/3)*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
443,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)/(a+I*a*tan(f*x+e))**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)/(a+I*a*tan(f*x+e))**(4/3),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{2}{3}}}{\left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2/3)/(I*a*(tan(e + f*x) - I))**(4/3), x)","F",0
445,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)/(a+I*a*tan(f*x+e))**(1/3),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{2}{3}}}{\sqrt[3]{i a \left(\tan{\left(e + f x \right)} - i\right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2/3)/(I*a*(tan(e + f*x) - I))**(1/3), x)","F",0
446,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)*(a+I*a*tan(f*x+e))**(2/3),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{2}{3}} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2/3)*(I*a*(tan(e + f*x) - I))**(2/3), x)","F",0
447,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)*(a+I*a*tan(f*x+e))**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)*(a+I*a*tan(f*x+e))**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
449,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2/3)*(a+I*a*tan(f*x+e))**(11/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
450,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**5,x)","i a^{5} \left(\int \left(- i \left(e \sec{\left(c + d x \right)}\right)^{m}\right)\, dx + \int 5 \left(e \sec{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\, dx + \int \left(- 10 \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{3}{\left(c + d x \right)}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{5}{\left(c + d x \right)}\, dx + \int 10 i \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{2}{\left(c + d x \right)}\, dx + \int \left(- 5 i \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{4}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"I*a**5*(Integral(-I*(e*sec(c + d*x))**m, x) + Integral(5*(e*sec(c + d*x))**m*tan(c + d*x), x) + Integral(-10*(e*sec(c + d*x))**m*tan(c + d*x)**3, x) + Integral((e*sec(c + d*x))**m*tan(c + d*x)**5, x) + Integral(10*I*(e*sec(c + d*x))**m*tan(c + d*x)**2, x) + Integral(-5*I*(e*sec(c + d*x))**m*tan(c + d*x)**4, x))","F",0
451,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**3,x)","- i a^{3} \left(\int i \left(e \sec{\left(c + d x \right)}\right)^{m}\, dx + \int \left(- 3 \left(e \sec{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{3}{\left(c + d x \right)}\, dx + \int \left(- 3 i \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{2}{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-I*a**3*(Integral(I*(e*sec(c + d*x))**m, x) + Integral(-3*(e*sec(c + d*x))**m*tan(c + d*x), x) + Integral((e*sec(c + d*x))**m*tan(c + d*x)**3, x) + Integral(-3*I*(e*sec(c + d*x))**m*tan(c + d*x)**2, x))","F",0
452,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \left(- \left(e \sec{\left(c + d x \right)}\right)^{m}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{m} \tan^{2}{\left(c + d x \right)}\, dx + \int \left(- 2 i \left(e \sec{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(-(e*sec(c + d*x))**m, x) + Integral((e*sec(c + d*x))**m*tan(c + d*x)**2, x) + Integral(-2*I*(e*sec(c + d*x))**m*tan(c + d*x), x))","F",0
453,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \left(e \sec{\left(c + d x \right)}\right)^{m}\right)\, dx + \int \left(e \sec{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(e*sec(c + d*x))**m, x) + Integral((e*sec(c + d*x))**m*tan(c + d*x), x))","F",0
454,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((e*sec(c + d*x))**m/(tan(c + d*x) - I), x)/a","F",0
455,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((e*sec(c + d*x))**m/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
456,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c))**3,x)","\frac{i \int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\tan^{3}{\left(c + d x \right)} - 3 i \tan^{2}{\left(c + d x \right)} - 3 \tan{\left(c + d x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral((e*sec(c + d*x))**m/(tan(c + d*x)**3 - 3*I*tan(c + d*x)**2 - 3*tan(c + d*x) + I), x)/a**3","F",0
457,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
458,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
459,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**(3/2),x)","\int \left(e \sec{\left(c + d x \right)}\right)^{m} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((e*sec(c + d*x))**m*(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
460,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**(1/2),x)","\int \left(e \sec{\left(c + d x \right)}\right)^{m} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}\, dx"," ",0,"Integral((e*sec(c + d*x))**m*sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
461,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral((e*sec(c + d*x))**m/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
462,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c))**(3/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((e*sec(c + d*x))**m/(I*a*(tan(c + d*x) - I))**(3/2), x)","F",0
463,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m/(a+I*a*tan(d*x+c))**(5/2),x)","\int \frac{\left(e \sec{\left(c + d x \right)}\right)^{m}}{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((e*sec(c + d*x))**m/(I*a*(tan(c + d*x) - I))**(5/2), x)","F",0
464,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**m*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{m} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**m*(I*a*(tan(c + d*x) - I))**n, x)","F",0
465,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x)**6, x)","F",0
466,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x)**4, x)","F",0
467,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x)**2, x)","F",0
468,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*cos(c + d*x)**2, x)","F",0
469,0,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \cos^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*cos(c + d*x)**4, x)","F",0
470,-1,0,0,0.000000," ","integrate(cos(d*x+c)**6*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
471,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x)**5, x)","F",0
472,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x)**3, x)","F",0
473,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*sec(c + d*x), x)","F",0
474,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+I*a*tan(d*x+c))**n,x)","\int \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n*cos(c + d*x), x)","F",0
475,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
476,-1,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
477,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5/2)*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
478,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3/2)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
479,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**n,x)","\int \sqrt{e \sec{\left(c + d x \right)}} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral(sqrt(e*sec(c + d*x))*(I*a*(tan(c + d*x) - I))**n, x)","F",0
480,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**n/(e*sec(d*x+c))**(1/2),x)","\int \frac{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}}{\sqrt{e \sec{\left(c + d x \right)}}}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n/sqrt(e*sec(c + d*x)), x)","F",0
481,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**n/(e*sec(d*x+c))**(3/2),x)","\int \frac{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n/(e*sec(c + d*x))**(3/2), x)","F",0
482,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**n/(e*sec(d*x+c))**(5/2),x)","\int \frac{\left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}}{\left(e \sec{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((I*a*(tan(c + d*x) - I))**n/(e*sec(c + d*x))**(5/2), x)","F",0
483,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-4-n)*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
484,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-3-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- n - 3} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-n - 3)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
485,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-2-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- n - 2} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-n - 2)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
486,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-1-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- n - 1} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-n - 1)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
487,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**n/((e*sec(d*x+c))**n),x)","\begin{cases} x & \text{for}\: n = 0 \\x \left(e \sec{\left(c \right)}\right)^{- n} \left(i a \tan{\left(c \right)} + a\right)^{n} & \text{for}\: d = 0 \\\int \left(0^{\frac{1}{n}} \sec{\left(c + d x \right)}\right)^{- n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{i e^{- n} \left(i a \tan{\left(c + d x \right)} + a\right)^{n} \sec^{- n}{\left(c + d x \right)}}{d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(n, 0)), (x*(e*sec(c))**(-n)*(I*a*tan(c) + a)**n, Eq(d, 0)), (Integral((0**(1/n)*sec(c + d*x))**(-n)*(I*a*(tan(c + d*x) - I))**n, x), Eq(e, 0**(1/n))), (-I*e**(-n)*(I*a*tan(c + d*x) + a)**n*sec(c + d*x)**(-n)/(d*n), True))","F",0
488,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{1 - n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(1 - n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
489,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(2-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{2 - n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(2 - n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
490,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3-n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{3 - n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3 - n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
491,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(6-2*n)*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate((e*sec(d*x+c))**(5-2*n)*(a+I*a*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(4-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{4 - 2 n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(4 - 2*n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
494,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(3-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{3 - 2 n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(3 - 2*n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
495,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(2-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{2 - 2 n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(2 - 2*n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
496,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(1-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{1 - 2 n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(1 - 2*n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
497,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**n/((e*sec(d*x+c))**(2*n)),x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- 2 n} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-2*n)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
498,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-1-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- 2 n - 1} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-2*n - 1)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
499,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-2-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- 2 n - 2} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-2*n - 2)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
500,0,0,0,0.000000," ","integrate((e*sec(d*x+c))**(-3-2*n)*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \sec{\left(c + d x \right)}\right)^{- 2 n - 3} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*sec(c + d*x))**(-2*n - 3)*(I*a*(tan(c + d*x) - I))**n, x)","F",0
501,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)*(a+I*a*tan(f*x+e))**(-2-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
502,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)*(a+I*a*tan(f*x+e))**(-1-n),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{2 n} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{- n - 1}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2*n)*(I*a*(tan(e + f*x) - I))**(-n - 1), x)","F",0
503,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)/((a+I*a*tan(f*x+e))**n),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{2 n} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{- n}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2*n)*(I*a*(tan(e + f*x) - I))**(-n), x)","F",0
504,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)*(a+I*a*tan(f*x+e))**(1-n),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{2 n} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{1 - n}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2*n)*(I*a*(tan(e + f*x) - I))**(1 - n), x)","F",0
505,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)*(a+I*a*tan(f*x+e))**(2-n),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{2 n} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{2 - n}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2*n)*(I*a*(tan(e + f*x) - I))**(2 - n), x)","F",0
506,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(2*n)*(a+I*a*tan(f*x+e))**(3-n),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{2 n} \left(i a \left(\tan{\left(e + f x \right)} - i\right)\right)^{3 - n}\, dx"," ",0,"Integral((d*sec(e + f*x))**(2*n)*(I*a*(tan(e + f*x) - I))**(3 - n), x)","F",0
507,1,56,0,4.135828," ","integrate(sec(d*x+c)**6*(a+b*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{5}{\left(c + d x \right)}}{5} + \frac{2 \tan^{3}{\left(c + d x \right)}}{3} + \tan{\left(c + d x \right)}\right) + \frac{b \sec^{6}{\left(c + d x \right)}}{6}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tan{\left(c \right)}\right) \sec^{6}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**5/5 + 2*tan(c + d*x)**3/3 + tan(c + d*x)) + b*sec(c + d*x)**6/6)/d, Ne(d, 0)), (x*(a + b*tan(c))*sec(c)**6, True))","A",0
508,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*sec(c + d*x)**5, x)","F",0
509,1,44,0,3.114424," ","integrate(sec(d*x+c)**4*(a+b*tan(d*x+c)),x)","\begin{cases} \frac{a \left(\frac{\tan^{3}{\left(c + d x \right)}}{3} + \tan{\left(c + d x \right)}\right) + \frac{b \sec^{4}{\left(c + d x \right)}}{4}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tan{\left(c \right)}\right) \sec^{4}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*(tan(c + d*x)**3/3 + tan(c + d*x)) + b*sec(c + d*x)**4/4)/d, Ne(d, 0)), (x*(a + b*tan(c))*sec(c)**4, True))","A",0
510,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*sec(c + d*x)**3, x)","F",0
511,1,34,0,2.295006," ","integrate(sec(d*x+c)**2*(a+b*tan(d*x+c)),x)","\begin{cases} \frac{a \tan{\left(c + d x \right)} + \frac{b \tan^{2}{\left(c + d x \right)}}{2}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tan{\left(c \right)}\right) \sec^{2}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*tan(c + d*x) + b*tan(c + d*x)**2/2)/d, Ne(d, 0)), (x*(a + b*tan(c))*sec(c)**2, True))","A",0
512,1,37,0,4.515222," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c)),x)","\begin{cases} \frac{a \log{\left(\tan{\left(c + d x \right)} + \sec{\left(c + d x \right)} \right)} + b \sec{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tan{\left(c \right)}\right) \sec{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*log(tan(c + d*x) + sec(c + d*x)) + b*sec(c + d*x))/d, Ne(d, 0)), (x*(a + b*tan(c))*sec(c), True))","A",0
513,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*cos(c + d*x), x)","F",0
514,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*cos(c + d*x)**2, x)","F",0
515,0,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \cos^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*cos(c + d*x)**3, x)","F",0
516,0,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+b*tan(d*x+c)),x)","\int \left(a + b \tan{\left(c + d x \right)}\right) \cos^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))*cos(c + d*x)**4, x)","F",0
517,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{8}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**8, x)","F",0
518,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**6, x)","F",0
519,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**4, x)","F",0
520,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**2, x)","F",0
521,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x)**2, x)","F",0
522,0,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x)**4, x)","F",0
523,0,0,0,0.000000," ","integrate(sec(d*x+c)**7*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{7}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**7, x)","F",0
524,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**5, x)","F",0
525,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x)**3, x)","F",0
526,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*sec(c + d*x), x)","F",0
527,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x), x)","F",0
528,0,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x)**3, x)","F",0
529,0,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x)**5, x)","F",0
530,0,0,0,0.000000," ","integrate(cos(d*x+c)**7*(a+b*tan(d*x+c))**2,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{2} \cos^{7}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**2*cos(c + d*x)**7, x)","F",0
531,0,0,0,0.000000," ","integrate(sec(d*x+c)**8*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{8}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**8, x)","F",0
532,0,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**6, x)","F",0
533,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**4, x)","F",0
534,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**2, x)","F",0
535,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*cos(c + d*x)**2, x)","F",0
536,0,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \cos^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*cos(c + d*x)**4, x)","F",0
537,0,0,0,0.000000," ","integrate(sec(d*x+c)**5*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**5, x)","F",0
538,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x)**3, x)","F",0
539,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*sec(c + d*x), x)","F",0
540,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*cos(c + d*x), x)","F",0
541,0,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \cos^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*cos(c + d*x)**3, x)","F",0
542,0,0,0,0.000000," ","integrate(cos(d*x+c)**5*(a+b*tan(d*x+c))**3,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{3} \cos^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**3*cos(c + d*x)**5, x)","F",0
543,-1,0,0,0.000000," ","integrate(cos(d*x+c)**7*(a+b*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
544,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+b*tan(d*x+c)),x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(a + b*tan(c + d*x)), x)","F",0
545,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+b*tan(d*x+c)),x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(a + b*tan(c + d*x)), x)","F",0
546,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+b*tan(d*x+c)),x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(a + b*tan(c + d*x)), x)","F",0
547,0,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+b*tan(d*x+c)),x)","\int \frac{\cos^{2}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(cos(c + d*x)**2/(a + b*tan(c + d*x)), x)","F",0
548,0,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+b*tan(d*x+c)),x)","\int \frac{\cos^{4}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(cos(c + d*x)**4/(a + b*tan(c + d*x)), x)","F",0
549,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+b*tan(d*x+c)),x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(a + b*tan(c + d*x)), x)","F",0
550,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+b*tan(d*x+c)),x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(a + b*tan(c + d*x)), x)","F",0
551,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+b*tan(d*x+c)),x)","\int \frac{\sec{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(sec(c + d*x)/(a + b*tan(c + d*x)), x)","F",0
552,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+b*tan(d*x+c)),x)","\int \frac{\cos{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(cos(c + d*x)/(a + b*tan(c + d*x)), x)","F",0
553,0,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+b*tan(d*x+c)),x)","\int \frac{\cos^{3}{\left(c + d x \right)}}{a + b \tan{\left(c + d x \right)}}\, dx"," ",0,"Integral(cos(c + d*x)**3/(a + b*tan(c + d*x)), x)","F",0
554,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{8}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**8/(a + b*tan(c + d*x))**2, x)","F",0
555,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(a + b*tan(c + d*x))**2, x)","F",0
556,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(a + b*tan(c + d*x))**2, x)","F",0
557,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(a + b*tan(c + d*x))**2, x)","F",0
558,-1,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+b*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
559,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+b*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
560,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**7/(a + b*tan(c + d*x))**2, x)","F",0
561,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(a + b*tan(c + d*x))**2, x)","F",0
562,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(a + b*tan(c + d*x))**2, x)","F",0
563,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+b*tan(d*x+c))**2,x)","\int \frac{\sec{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sec(c + d*x)/(a + b*tan(c + d*x))**2, x)","F",0
564,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+b*tan(d*x+c))**2,x)","\int \frac{\cos{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cos(c + d*x)/(a + b*tan(c + d*x))**2, x)","F",0
565,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+b*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,0,0,0,0.000000," ","integrate(sec(d*x+c)**8/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{8}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**8/(a + b*tan(c + d*x))**3, x)","F",0
567,0,0,0,0.000000," ","integrate(sec(d*x+c)**6/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{6}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**6/(a + b*tan(c + d*x))**3, x)","F",0
568,0,0,0,0.000000," ","integrate(sec(d*x+c)**4/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{4}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**4/(a + b*tan(c + d*x))**3, x)","F",0
569,0,0,0,0.000000," ","integrate(sec(d*x+c)**2/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{2}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**2/(a + b*tan(c + d*x))**3, x)","F",0
570,-2,0,0,0.000000," ","integrate(cos(d*x+c)**2/(a+b*tan(d*x+c))**3,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
571,-2,0,0,0.000000," ","integrate(cos(d*x+c)**4/(a+b*tan(d*x+c))**3,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
572,0,0,0,0.000000," ","integrate(sec(d*x+c)**7/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{7}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**7/(a + b*tan(c + d*x))**3, x)","F",0
573,0,0,0,0.000000," ","integrate(sec(d*x+c)**5/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{5}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**5/(a + b*tan(c + d*x))**3, x)","F",0
574,0,0,0,0.000000," ","integrate(sec(d*x+c)**3/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec^{3}{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)**3/(a + b*tan(c + d*x))**3, x)","F",0
575,0,0,0,0.000000," ","integrate(sec(d*x+c)/(a+b*tan(d*x+c))**3,x)","\int \frac{\sec{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(sec(c + d*x)/(a + b*tan(c + d*x))**3, x)","F",0
576,0,0,0,0.000000," ","integrate(cos(d*x+c)/(a+b*tan(d*x+c))**3,x)","\int \frac{\cos{\left(c + d x \right)}}{\left(a + b \tan{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cos(c + d*x)/(a + b*tan(c + d*x))**3, x)","F",0
577,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3/(a+b*tan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
578,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(7/2)*(a+b*tan(f*x+e)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
579,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)*(a+b*tan(f*x+e)),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/2)*(a + b*tan(e + f*x)), x)","F",0
580,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)*(a+b*tan(f*x+e)),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x)), x)","F",0
581,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)*(a+b*tan(f*x+e)),x)","\int \sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x)), x)","F",0
582,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(1/2),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\sqrt{d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/sqrt(d*sec(e + f*x)), x)","F",0
583,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(3/2),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/(d*sec(e + f*x))**(3/2), x)","F",0
584,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(5/2),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/(d*sec(e + f*x))**(5/2), x)","F",0
585,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(7/2),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/(d*sec(e + f*x))**(7/2), x)","F",0
586,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)*(a+b*tan(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
587,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)*(a+b*tan(f*x+e))**2,x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x))**2, x)","F",0
588,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)*(a+b*tan(f*x+e))**2,x)","\int \sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x))**2, x)","F",0
589,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(1/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\sqrt{d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/sqrt(d*sec(e + f*x)), x)","F",0
590,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(3/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/(d*sec(e + f*x))**(3/2), x)","F",0
591,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(5/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/(d*sec(e + f*x))**(5/2), x)","F",0
592,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(7/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/(d*sec(e + f*x))**(7/2), x)","F",0
593,-1,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
594,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)*(a+b*tan(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
595,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)*(a+b*tan(f*x+e))**3,x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x))**3, x)","F",0
596,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)*(a+b*tan(f*x+e))**3,x)","\int \sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x))**3, x)","F",0
597,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(1/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}{\sqrt{d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**3/sqrt(d*sec(e + f*x)), x)","F",0
598,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(3/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**3/(d*sec(e + f*x))**(3/2), x)","F",0
599,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(5/2),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**3/(d*sec(e + f*x))**(5/2), x)","F",0
600,-1,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
601,-1,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
602,-1,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**3/(d*sec(f*x+e))**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
603,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(7/2)/(a+b*tan(f*x+e)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
604,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e)),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/2)/(a + b*tan(e + f*x)), x)","F",0
605,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e)),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)/(a + b*tan(e + f*x)), x)","F",0
606,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e)),x)","\int \frac{\sqrt{d \sec{\left(e + f x \right)}}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))/(a + b*tan(e + f*x)), x)","F",0
607,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x))), x)","F",0
608,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x))), x)","F",0
609,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}} \left(a + b \tan{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(5/2)*(a + b*tan(e + f*x))), x)","F",0
610,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(7/2)/(a+b*tan(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
611,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/2)/(a + b*tan(e + f*x))**2, x)","F",0
612,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)/(a + b*tan(e + f*x))**2, x)","F",0
613,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{\sqrt{d \sec{\left(e + f x \right)}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))/(a + b*tan(e + f*x))**2, x)","F",0
614,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{1}{\sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x))**2), x)","F",0
615,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x))**2), x)","F",0
616,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e))**2,x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(5/2)*(a + b*tan(e + f*x))**2), x)","F",0
617,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(7/2)/(a+b*tan(f*x+e))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
618,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/2)/(a + b*tan(e + f*x))**3, x)","F",0
619,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(3/2)/(a + b*tan(e + f*x))**3, x)","F",0
620,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{\sqrt{d \sec{\left(e + f x \right)}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(sqrt(d*sec(e + f*x))/(a + b*tan(e + f*x))**3, x)","F",0
621,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{1}{\sqrt{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/(sqrt(d*sec(e + f*x))*(a + b*tan(e + f*x))**3), x)","F",0
622,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(3/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{3}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(3/2)*(a + b*tan(e + f*x))**3), x)","F",0
623,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/2)/(a+b*tan(f*x+e))**3,x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{2}} \left(a + b \tan{\left(e + f x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(5/2)*(a + b*tan(e + f*x))**3), x)","F",0
624,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)*(a+b*tan(f*x+e)),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/3)*(a + b*tan(e + f*x)), x)","F",0
625,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)*(a+b*tan(f*x+e)),x)","\int \sqrt[3]{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*sec(e + f*x))**(1/3)*(a + b*tan(e + f*x)), x)","F",0
626,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(1/3),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/(d*sec(e + f*x))**(1/3), x)","F",0
627,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*sec(f*x+e))**(5/3),x)","\int \frac{a + b \tan{\left(e + f x \right)}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))/(d*sec(e + f*x))**(5/3), x)","F",0
628,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)*(a+b*tan(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)*(a+b*tan(f*x+e))**2,x)","\int \sqrt[3]{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((d*sec(e + f*x))**(1/3)*(a + b*tan(e + f*x))**2, x)","F",0
630,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(1/3),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\sqrt[3]{d \sec{\left(e + f x \right)}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/(d*sec(e + f*x))**(1/3), x)","F",0
631,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))**2/(d*sec(f*x+e))**(5/3),x)","\int \frac{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral((a + b*tan(e + f*x))**2/(d*sec(e + f*x))**(5/3), x)","F",0
632,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)/(a+b*tan(f*x+e)),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/3)/(a + b*tan(e + f*x)), x)","F",0
633,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)/(a+b*tan(f*x+e)),x)","\int \frac{\sqrt[3]{d \sec{\left(e + f x \right)}}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(1/3)/(a + b*tan(e + f*x)), x)","F",0
634,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/3)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\sqrt[3]{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(1/3)*(a + b*tan(e + f*x))), x)","F",0
635,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/3)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \left(a + b \tan{\left(e + f x \right)}\right)}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(5/3)*(a + b*tan(e + f*x))), x)","F",0
636,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(5/3)/(a+b*tan(f*x+e))**2,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(5/3)/(a + b*tan(e + f*x))**2, x)","F",0
637,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**(1/3)/(a+b*tan(f*x+e))**2,x)","\int \frac{\sqrt[3]{d \sec{\left(e + f x \right)}}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*sec(e + f*x))**(1/3)/(a + b*tan(e + f*x))**2, x)","F",0
638,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(1/3)/(a+b*tan(f*x+e))**2,x)","\int \frac{1}{\sqrt[3]{d \sec{\left(e + f x \right)}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(1/3)*(a + b*tan(e + f*x))**2), x)","F",0
639,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))**(5/3)/(a+b*tan(f*x+e))**2,x)","\int \frac{1}{\left(d \sec{\left(e + f x \right)}\right)^{\frac{5}{3}} \left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((d*sec(e + f*x))**(5/3)*(a + b*tan(e + f*x))**2), x)","F",0
640,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m*(a+b*tan(f*x+e))**3,x)","\int \left(d \sec{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((d*sec(e + f*x))**m*(a + b*tan(e + f*x))**3, x)","F",0
641,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m*(a+b*tan(f*x+e))**2,x)","\int \left(d \sec{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((d*sec(e + f*x))**m*(a + b*tan(e + f*x))**2, x)","F",0
642,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m*(a+b*tan(f*x+e)),x)","\int \left(d \sec{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*sec(e + f*x))**m*(a + b*tan(e + f*x)), x)","F",0
643,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m/(a+b*tan(f*x+e)),x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{m}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*sec(e + f*x))**m/(a + b*tan(e + f*x)), x)","F",0
644,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m/(a+b*tan(f*x+e))**2,x)","\int \frac{\left(d \sec{\left(e + f x \right)}\right)^{m}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*sec(e + f*x))**m/(a + b*tan(e + f*x))**2, x)","F",0
645,0,0,0,0.000000," ","integrate((d*sec(f*x+e))**m*(a+b*tan(f*x+e))**n,x)","\int \left(d \sec{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)^{n}\, dx"," ",0,"Integral((d*sec(e + f*x))**m*(a + b*tan(e + f*x))**n, x)","F",0
646,-1,0,0,0.000000," ","integrate(sec(d*x+c)**6*(a+b*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
647,0,0,0,0.000000," ","integrate(sec(d*x+c)**4*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \sec^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*sec(c + d*x)**4, x)","F",0
648,0,0,0,0.000000," ","integrate(sec(d*x+c)**2*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \sec^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*sec(c + d*x)**2, x)","F",0
649,0,0,0,0.000000," ","integrate(cos(d*x+c)**2*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \cos^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*cos(c + d*x)**2, x)","F",0
650,-1,0,0,0.000000," ","integrate(cos(d*x+c)**4*(a+b*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
651,0,0,0,0.000000," ","integrate(sec(d*x+c)**3*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \sec^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*sec(c + d*x)**3, x)","F",0
652,0,0,0,0.000000," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \sec{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*sec(c + d*x), x)","F",0
653,0,0,0,0.000000," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c))**n,x)","\int \left(a + b \tan{\left(c + d x \right)}\right)^{n} \cos{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tan(c + d*x))**n*cos(c + d*x), x)","F",0
654,-1,0,0,0.000000," ","integrate(cos(d*x+c)**3*(a+b*tan(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
655,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(7/2)*(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
656,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(5/2)*(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
657,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(3/2)*(a+I*a*tan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
658,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**(1/2)*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \sqrt{e \cos{\left(c + d x \right)}}\right)\, dx + \int \sqrt{e \cos{\left(c + d x \right)}} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*sqrt(e*cos(c + d*x)), x) + Integral(sqrt(e*cos(c + d*x))*tan(c + d*x), x))","F",0
659,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*cos(d*x+c))**(1/2),x)","i a \left(\int \left(- \frac{i}{\sqrt{e \cos{\left(c + d x \right)}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\sqrt{e \cos{\left(c + d x \right)}}}\, dx\right)"," ",0,"I*a*(Integral(-I/sqrt(e*cos(c + d*x)), x) + Integral(tan(c + d*x)/sqrt(e*cos(c + d*x)), x))","F",0
660,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*cos(d*x+c))**(3/2),x)","i a \left(\int \left(- \frac{i}{\left(e \cos{\left(c + d x \right)}\right)^{\frac{3}{2}}}\right)\, dx + \int \frac{\tan{\left(c + d x \right)}}{\left(e \cos{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx\right)"," ",0,"I*a*(Integral(-I/(e*cos(c + d*x))**(3/2), x) + Integral(tan(c + d*x)/(e*cos(c + d*x))**(3/2), x))","F",0
661,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*cos(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
662,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))/(e*cos(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
663,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
664,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
665,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
666,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\sqrt{e \cos{\left(c + d x \right)}}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral(sqrt(e*cos(c + d*x))/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
667,0,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{1}{\sqrt{e \cos{\left(c + d x \right)}} \tan^{2}{\left(c + d x \right)} - 2 i \sqrt{e \cos{\left(c + d x \right)}} \tan{\left(c + d x \right)} - \sqrt{e \cos{\left(c + d x \right)}}}\, dx}{a^{2}}"," ",0,"-Integral(1/(sqrt(e*cos(c + d*x))*tan(c + d*x)**2 - 2*I*sqrt(e*cos(c + d*x))*tan(c + d*x) - sqrt(e*cos(c + d*x))), x)/a**2","F",0
668,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
669,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
670,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
671,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(9/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
672,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(11/2)/(a+I*a*tan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
673,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(7/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
674,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(5/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
675,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(3/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
676,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**(1/2)*(a+I*a*tan(d*x+c))**(1/2),x)","\int \sqrt{e \cos{\left(c + d x \right)}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}\, dx"," ",0,"Integral(sqrt(e*cos(c + d*x))*sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
677,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*cos(d*x+c))**(1/2),x)","\int \frac{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}{\sqrt{e \cos{\left(c + d x \right)}}}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))/sqrt(e*cos(c + d*x)), x)","F",0
678,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*cos(d*x+c))**(3/2),x)","\int \frac{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}{\left(e \cos{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(I*a*(tan(c + d*x) - I))/(e*cos(c + d*x))**(3/2), x)","F",0
679,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*cos(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
680,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))**(1/2)/(e*cos(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
681,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
682,-1,0,0,0.000000," ","integrate((e*cos(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
683,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\sqrt{e \cos{\left(c + d x \right)}}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(sqrt(e*cos(c + d*x))/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
684,0,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(1/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{e \cos{\left(c + d x \right)}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/(sqrt(e*cos(c + d*x))*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
685,0,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(3/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{1}{\left(e \cos{\left(c + d x \right)}\right)^{\frac{3}{2}} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral(1/((e*cos(c + d*x))**(3/2)*sqrt(I*a*(tan(c + d*x) - I))), x)","F",0
686,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(5/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
687,-1,0,0,0.000000," ","integrate(1/(e*cos(d*x+c))**(7/2)/(a+I*a*tan(d*x+c))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
688,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m*(a+I*a*tan(d*x+c))**n,x)","\int \left(e \cos{\left(c + d x \right)}\right)^{m} \left(i a \left(\tan{\left(c + d x \right)} - i\right)\right)^{n}\, dx"," ",0,"Integral((e*cos(c + d*x))**m*(I*a*(tan(c + d*x) - I))**n, x)","F",0
689,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m*(a+I*a*tan(d*x+c))**2,x)","- a^{2} \left(\int \left(- \left(e \cos{\left(c + d x \right)}\right)^{m}\right)\, dx + \int \left(e \cos{\left(c + d x \right)}\right)^{m} \tan^{2}{\left(c + d x \right)}\, dx + \int \left(- 2 i \left(e \cos{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\right)\, dx\right)"," ",0,"-a**2*(Integral(-(e*cos(c + d*x))**m, x) + Integral((e*cos(c + d*x))**m*tan(c + d*x)**2, x) + Integral(-2*I*(e*cos(c + d*x))**m*tan(c + d*x), x))","F",0
690,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m*(a+I*a*tan(d*x+c)),x)","i a \left(\int \left(- i \left(e \cos{\left(c + d x \right)}\right)^{m}\right)\, dx + \int \left(e \cos{\left(c + d x \right)}\right)^{m} \tan{\left(c + d x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(e*cos(c + d*x))**m, x) + Integral((e*cos(c + d*x))**m*tan(c + d*x), x))","F",0
691,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m/(a+I*a*tan(d*x+c)),x)","- \frac{i \int \frac{\left(e \cos{\left(c + d x \right)}\right)^{m}}{\tan{\left(c + d x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((e*cos(c + d*x))**m/(tan(c + d*x) - I), x)/a","F",0
692,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m/(a+I*a*tan(d*x+c))**2,x)","- \frac{\int \frac{\left(e \cos{\left(c + d x \right)}\right)^{m}}{\tan^{2}{\left(c + d x \right)} - 2 i \tan{\left(c + d x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((e*cos(c + d*x))**m/(tan(c + d*x)**2 - 2*I*tan(c + d*x) - 1), x)/a**2","F",0
693,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m*(a+I*a*tan(d*x+c))**(1/2),x)","\int \left(e \cos{\left(c + d x \right)}\right)^{m} \sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}\, dx"," ",0,"Integral((e*cos(c + d*x))**m*sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
694,0,0,0,0.000000," ","integrate((e*cos(d*x+c))**m/(a+I*a*tan(d*x+c))**(1/2),x)","\int \frac{\left(e \cos{\left(c + d x \right)}\right)^{m}}{\sqrt{i a \left(\tan{\left(c + d x \right)} - i\right)}}\, dx"," ",0,"Integral((e*cos(c + d*x))**m/sqrt(I*a*(tan(c + d*x) - I)), x)","F",0
695,0,0,0,0.000000," ","integrate((d*cos(f*x+e))**m*(a+b*tan(f*x+e))**3,x)","\int \left(d \cos{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((d*cos(e + f*x))**m*(a + b*tan(e + f*x))**3, x)","F",0
696,0,0,0,0.000000," ","integrate((d*cos(f*x+e))**m*(a+b*tan(f*x+e))**2,x)","\int \left(d \cos{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((d*cos(e + f*x))**m*(a + b*tan(e + f*x))**2, x)","F",0
697,0,0,0,0.000000," ","integrate((d*cos(f*x+e))**m*(a+b*tan(f*x+e)),x)","\int \left(d \cos{\left(e + f x \right)}\right)^{m} \left(a + b \tan{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((d*cos(e + f*x))**m*(a + b*tan(e + f*x)), x)","F",0
698,0,0,0,0.000000," ","integrate((d*cos(f*x+e))**m/(a+b*tan(f*x+e)),x)","\int \frac{\left(d \cos{\left(e + f x \right)}\right)^{m}}{a + b \tan{\left(e + f x \right)}}\, dx"," ",0,"Integral((d*cos(e + f*x))**m/(a + b*tan(e + f*x)), x)","F",0
699,0,0,0,0.000000," ","integrate((d*cos(f*x+e))**m/(a+b*tan(f*x+e))**2,x)","\int \frac{\left(d \cos{\left(e + f x \right)}\right)^{m}}{\left(a + b \tan{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((d*cos(e + f*x))**m/(a + b*tan(e + f*x))**2, x)","F",0
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