1,1,130,0,1.103448," ","integrate((a+b*sech(d*x+c)^2)*sinh(d*x+c)^4,x, algorithm=""giac"")","\frac{24 \, {\left(d x + c\right)} {\left(a - 4 \, b\right)} + a e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} - {\left(18 \, a e^{\left(4 \, d x + 4 \, c\right)} - 72 \, b e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{128 \, b}{e^{\left(2 \, d x + 2 \, c\right)} + 1}}{64 \, d}"," ",0,"1/64*(24*(d*x + c)*(a - 4*b) + a*e^(4*d*x + 4*c) - 8*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) - (18*a*e^(4*d*x + 4*c) - 72*b*e^(4*d*x + 4*c) - 8*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) + a)*e^(-4*d*x - 4*c) - 128*b/(e^(2*d*x + 2*c) + 1))/d","B",0
2,1,85,0,0.132714," ","integrate((a+b*sech(d*x+c)^2)*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 12 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 12 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + \frac{48 \, b}{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}}{24 \, d}"," ",0,"1/24*(a*(e^(d*x + c) + e^(-d*x - c))^3 - 12*a*(e^(d*x + c) + e^(-d*x - c)) + 12*b*(e^(d*x + c) + e^(-d*x - c)) + 48*b/(e^(d*x + c) + e^(-d*x - c)))/d","B",0
3,1,92,0,0.164358," ","integrate((a+b*sech(d*x+c)^2)*sinh(d*x+c)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(d x + c\right)} {\left(a - 2 \, b\right)} - a e^{\left(2 \, d x + 2 \, c\right)} - \frac{a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, b e^{\left(4 \, d x + 4 \, c\right)} + 14 \, b e^{\left(2 \, d x + 2 \, c\right)} - a}{e^{\left(4 \, d x + 4 \, c\right)} + e^{\left(2 \, d x + 2 \, c\right)}}}{8 \, d}"," ",0,"-1/8*(4*(d*x + c)*(a - 2*b) - a*e^(2*d*x + 2*c) - (a*e^(4*d*x + 4*c) - 2*b*e^(4*d*x + 4*c) + 14*b*e^(2*d*x + 2*c) - a)/(e^(4*d*x + 4*c) + e^(2*d*x + 2*c)))/d","B",0
4,1,45,0,0.124704," ","integrate((a+b*sech(d*x+c)^2)*sinh(d*x+c),x, algorithm=""giac"")","\frac{a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - \frac{4 \, b}{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}}{2 \, d}"," ",0,"1/2*(a*(e^(d*x + c) + e^(-d*x - c)) - 4*b/(e^(d*x + c) + e^(-d*x - c)))/d","A",0
5,1,72,0,0.126073," ","integrate(csch(d*x+c)*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{{\left(a + b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - {\left(a + b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, b}{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}}{2 \, d}"," ",0,"-1/2*((a + b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - (a + b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*b/(e^(d*x + c) + e^(-d*x - c)))/d","B",0
6,1,34,0,0.143492," ","integrate(csch(d*x+c)^2*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b\right)}}{d {\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}}"," ",0,"-2*(a*e^(2*d*x + 2*c) + a + 2*b)/(d*(e^(4*d*x + 4*c) - 1))","A",0
7,1,142,0,0.154121," ","integrate(csch(d*x+c)^3*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(a + 3 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - {\left(a + 3 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 3 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 8 \, b\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 4 \, e^{\left(d x + c\right)} - 4 \, e^{\left(-d x - c\right)}}}{4 \, d}"," ",0,"1/4*((a + 3*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - (a + 3*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(a*(e^(d*x + c) + e^(-d*x - c))^2 + 3*b*(e^(d*x + c) + e^(-d*x - c))^2 - 8*b)/((e^(d*x + c) + e^(-d*x - c))^3 - 4*e^(d*x + c) - 4*e^(-d*x - c)))/d","B",0
8,1,80,0,0.134948," ","integrate(csch(d*x+c)^4*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, b}{e^{\left(2 \, d x + 2 \, c\right)} + 1} - \frac{3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 12 \, b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a + 5 \, b}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}\right)}}{3 \, d}"," ",0,"-2/3*(3*b/(e^(2*d*x + 2*c) + 1) - (3*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) - 12*b*e^(2*d*x + 2*c) + 2*a + 5*b)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
9,1,231,0,0.177097," ","integrate((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^4,x, algorithm=""giac"")","\frac{3 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 24 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 48 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 24 \, {\left(3 \, a^{2} - 24 \, a b + 8 \, b^{2}\right)} {\left(d x + c\right)} - 3 \, {\left(18 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 144 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 16 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{256 \, {\left(3 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b - 2 \, b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{192 \, d}"," ",0,"1/192*(3*a^2*e^(4*d*x + 4*c) - 24*a^2*e^(2*d*x + 2*c) + 48*a*b*e^(2*d*x + 2*c) + 24*(3*a^2 - 24*a*b + 8*b^2)*(d*x + c) - 3*(18*a^2*e^(4*d*x + 4*c) - 144*a*b*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) - 8*a^2*e^(2*d*x + 2*c) + 16*a*b*e^(2*d*x + 2*c) + a^2)*e^(-4*d*x - 4*c) - 256*(3*a*b*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) + 6*a*b*e^(2*d*x + 2*c) - 3*b^2*e^(2*d*x + 2*c) + 3*a*b - 2*b^2)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
10,1,140,0,0.189388," ","integrate((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 12 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 24 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + \frac{16 \, {\left(6 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 3 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 4 \, b^{2}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3}}}{24 \, d}"," ",0,"1/24*(a^2*(e^(d*x + c) + e^(-d*x - c))^3 - 12*a^2*(e^(d*x + c) + e^(-d*x - c)) + 24*a*b*(e^(d*x + c) + e^(-d*x - c)) + 16*(6*a*b*(e^(d*x + c) + e^(-d*x - c))^2 - 3*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 4*b^2)/(e^(d*x + c) + e^(-d*x - c))^3)/d","B",0
11,1,144,0,0.176706," ","integrate((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 12 \, {\left(a^{2} - 4 \, a b\right)} {\left(d x + c\right)} + 3 \, {\left(2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} - a^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + \frac{16 \, {\left(6 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 12 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b - b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*a^2*e^(2*d*x + 2*c) - 12*(a^2 - 4*a*b)*(d*x + c) + 3*(2*a^2*e^(2*d*x + 2*c) - 8*a*b*e^(2*d*x + 2*c) - a^2)*e^(-2*d*x - 2*c) + 16*(6*a*b*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) + 12*a*b*e^(2*d*x + 2*c) + 6*a*b - b^2)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
12,1,75,0,0.142482," ","integrate((a+b*sech(d*x+c)^2)^2*sinh(d*x+c),x, algorithm=""giac"")","\frac{3 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - \frac{8 \, {\left(3 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 2 \, b^{2}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*a^2*(e^(d*x + c) + e^(-d*x - c)) - 8*(3*a*b*(e^(d*x + c) + e^(-d*x - c))^2 + 2*b^2)/(e^(d*x + c) + e^(-d*x - c))^3)/d","A",0
13,1,139,0,0.139874," ","integrate(csch(d*x+c)*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(6 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 3 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 4 \, b^{2}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(3*(a^2 + 2*a*b + b^2)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 3*(a^2 + 2*a*b + b^2)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(6*a*b*(e^(d*x + c) + e^(-d*x - c))^2 + 3*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 4*b^2)/(e^(d*x + c) + e^(-d*x - c))^3)/d","B",0
14,1,111,0,0.151064," ","integrate(csch(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}{e^{\left(2 \, d x + 2 \, c\right)} - 1} - \frac{6 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 12 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b + 5 \, b^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}\right)}}{3 \, d}"," ",0,"-2/3*(3*(a^2 + 2*a*b + b^2)/(e^(2*d*x + 2*c) - 1) - (6*a*b*e^(4*d*x + 4*c) + 3*b^2*e^(4*d*x + 4*c) + 12*a*b*e^(2*d*x + 2*c) + 12*b^2*e^(2*d*x + 2*c) + 6*a*b + 5*b^2)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
15,1,228,0,0.157013," ","integrate(csch(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(a^{2} + 6 \, a b + 5 \, b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 3 \, {\left(a^{2} + 6 \, a b + 5 \, b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{12 \, {\left(a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 2 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4} - \frac{16 \, {\left(3 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 3 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 2 \, b^{2}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3}}}{12 \, d}"," ",0,"1/12*(3*(a^2 + 6*a*b + 5*b^2)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 3*(a^2 + 6*a*b + 5*b^2)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 12*(a^2*(e^(d*x + c) + e^(-d*x - c)) + 2*a*b*(e^(d*x + c) + e^(-d*x - c)) + b^2*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4) - 16*(3*a*b*(e^(d*x + c) + e^(-d*x - c))^2 + 3*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 2*b^2)/(e^(d*x + c) + e^(-d*x - c))^3)/d","B",0
16,1,115,0,0.175217," ","integrate(csch(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 8 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 6 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 24 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - a^{2} - 8 \, a b - 8 \, b^{2}\right)}}{3 \, d {\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}^{3}}"," ",0,"-4/3*(3*a^2*e^(8*d*x + 8*c) + 8*a^2*e^(6*d*x + 6*c) + 16*a*b*e^(6*d*x + 6*c) + 6*a^2*e^(4*d*x + 4*c) + 24*a*b*e^(4*d*x + 4*c) + 24*b^2*e^(4*d*x + 4*c) - a^2 - 8*a*b - 8*b^2)/(d*(e^(4*d*x + 4*c) - 1)^3)","A",0
17,1,339,0,0.217529," ","integrate((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^4,x, algorithm=""giac"")","\frac{5 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 120 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 120 \, {\left(a^{3} - 12 \, a^{2} b + 8 \, a b^{2}\right)} {\left(d x + c\right)} - 5 \, {\left(18 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 216 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 144 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + a^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{128 \, {\left(15 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 30 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 5 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 60 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 110 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 10 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 70 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 15 \, a^{2} b - 20 \, a b^{2} + b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{320 \, d}"," ",0,"1/320*(5*a^3*e^(4*d*x + 4*c) - 40*a^3*e^(2*d*x + 2*c) + 120*a^2*b*e^(2*d*x + 2*c) + 120*(a^3 - 12*a^2*b + 8*a*b^2)*(d*x + c) - 5*(18*a^3*e^(4*d*x + 4*c) - 216*a^2*b*e^(4*d*x + 4*c) + 144*a*b^2*e^(4*d*x + 4*c) - 8*a^3*e^(2*d*x + 2*c) + 24*a^2*b*e^(2*d*x + 2*c) + a^3)*e^(-4*d*x - 4*c) - 128*(15*a^2*b*e^(8*d*x + 8*c) - 30*a*b^2*e^(8*d*x + 8*c) + 5*b^3*e^(8*d*x + 8*c) + 60*a^2*b*e^(6*d*x + 6*c) - 90*a*b^2*e^(6*d*x + 6*c) + 90*a^2*b*e^(4*d*x + 4*c) - 110*a*b^2*e^(4*d*x + 4*c) + 10*b^3*e^(4*d*x + 4*c) + 60*a^2*b*e^(2*d*x + 2*c) - 70*a*b^2*e^(2*d*x + 2*c) + 15*a^2*b - 20*a*b^2 + b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","A",0
18,1,193,0,0.209274," ","integrate((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{5 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 60 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 180 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + \frac{16 \, {\left(45 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 45 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 60 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 20 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 48 \, b^{3}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5}}}{120 \, d}"," ",0,"1/120*(5*a^3*(e^(d*x + c) + e^(-d*x - c))^3 - 60*a^3*(e^(d*x + c) + e^(-d*x - c)) + 180*a^2*b*(e^(d*x + c) + e^(-d*x - c)) + 16*(45*a^2*b*(e^(d*x + c) + e^(-d*x - c))^4 - 45*a*b^2*(e^(d*x + c) + e^(-d*x - c))^4 + 60*a*b^2*(e^(d*x + c) + e^(-d*x - c))^2 - 20*b^3*(e^(d*x + c) + e^(-d*x - c))^2 + 48*b^3)/(e^(d*x + c) + e^(-d*x - c))^5)/d","B",0
19,1,278,0,0.201885," ","integrate((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^2,x, algorithm=""giac"")","\frac{15 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 60 \, {\left(a^{3} - 6 \, a^{2} b\right)} {\left(d x + c\right)} + 15 \, {\left(2 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 12 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - a^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + \frac{16 \, {\left(45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 45 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 180 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 30 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 270 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 60 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 10 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 180 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 30 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 10 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 45 \, a^{2} b - 15 \, a b^{2} - 2 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(15*a^3*e^(2*d*x + 2*c) - 60*(a^3 - 6*a^2*b)*(d*x + c) + 15*(2*a^3*e^(2*d*x + 2*c) - 12*a^2*b*e^(2*d*x + 2*c) - a^3)*e^(-2*d*x - 2*c) + 16*(45*a^2*b*e^(8*d*x + 8*c) - 45*a*b^2*e^(8*d*x + 8*c) + 180*a^2*b*e^(6*d*x + 6*c) - 90*a*b^2*e^(6*d*x + 6*c) - 30*b^3*e^(6*d*x + 6*c) + 270*a^2*b*e^(4*d*x + 4*c) - 60*a*b^2*e^(4*d*x + 4*c) + 10*b^3*e^(4*d*x + 4*c) + 180*a^2*b*e^(2*d*x + 2*c) - 30*a*b^2*e^(2*d*x + 2*c) - 10*b^3*e^(2*d*x + 2*c) + 45*a^2*b - 15*a*b^2 - 2*b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
20,1,101,0,0.191155," ","integrate((a+b*sech(d*x+c)^2)^3*sinh(d*x+c),x, algorithm=""giac"")","\frac{5 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - \frac{4 \, {\left(15 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 20 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 16 \, b^{3}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5}}}{10 \, d}"," ",0,"1/10*(5*a^3*(e^(d*x + c) + e^(-d*x - c)) - 4*(15*a^2*b*(e^(d*x + c) + e^(-d*x - c))^4 + 20*a*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 16*b^3)/(e^(d*x + c) + e^(-d*x - c))^5)/d","A",0
21,1,228,0,0.167874," ","integrate(csch(d*x+c)*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{15 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 15 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(45 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 45 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 15 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 60 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 20 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 48 \, b^{3}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5}}}{30 \, d}"," ",0,"-1/30*(15*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 15*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(45*a^2*b*(e^(d*x + c) + e^(-d*x - c))^4 + 45*a*b^2*(e^(d*x + c) + e^(-d*x - c))^4 + 15*b^3*(e^(d*x + c) + e^(-d*x - c))^4 + 60*a*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 20*b^3*(e^(d*x + c) + e^(-d*x - c))^2 + 48*b^3)/(e^(d*x + c) + e^(-d*x - c))^5)/d","B",0
22,1,249,0,0.180563," ","integrate(csch(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{5 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}}{e^{\left(2 \, d x + 2 \, c\right)} - 1} - \frac{15 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 15 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 5 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 60 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 30 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 160 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 110 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 50 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 15 \, a^{2} b + 25 \, a b^{2} + 11 \, b^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}\right)}}{5 \, d}"," ",0,"-2/5*(5*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)/(e^(2*d*x + 2*c) - 1) - (15*a^2*b*e^(8*d*x + 8*c) + 15*a*b^2*e^(8*d*x + 8*c) + 5*b^3*e^(8*d*x + 8*c) + 60*a^2*b*e^(6*d*x + 6*c) + 90*a*b^2*e^(6*d*x + 6*c) + 30*b^3*e^(6*d*x + 6*c) + 90*a^2*b*e^(4*d*x + 4*c) + 160*a*b^2*e^(4*d*x + 4*c) + 80*b^3*e^(4*d*x + 4*c) + 60*a^2*b*e^(2*d*x + 2*c) + 110*a*b^2*e^(2*d*x + 2*c) + 50*b^3*e^(2*d*x + 2*c) + 15*a^2*b + 25*a*b^2 + 11*b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
23,1,341,0,0.196723," ","integrate(csch(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, {\left(a^{3} + 9 \, a^{2} b + 15 \, a b^{2} + 7 \, b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 15 \, {\left(a^{3} + 9 \, a^{2} b + 15 \, a b^{2} + 7 \, b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{60 \, {\left(a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 3 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 3 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4} - \frac{8 \, {\left(45 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 90 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 45 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} + 60 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 40 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} + 48 \, b^{3}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5}}}{60 \, d}"," ",0,"1/60*(15*(a^3 + 9*a^2*b + 15*a*b^2 + 7*b^3)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 15*(a^3 + 9*a^2*b + 15*a*b^2 + 7*b^3)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 60*(a^3*(e^(d*x + c) + e^(-d*x - c)) + 3*a^2*b*(e^(d*x + c) + e^(-d*x - c)) + 3*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + b^3*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4) - 8*(45*a^2*b*(e^(d*x + c) + e^(-d*x - c))^4 + 90*a*b^2*(e^(d*x + c) + e^(-d*x - c))^4 + 45*b^3*(e^(d*x + c) + e^(-d*x - c))^4 + 60*a*b^2*(e^(d*x + c) + e^(-d*x - c))^2 + 40*b^3*(e^(d*x + c) + e^(-d*x - c))^2 + 48*b^3)/(e^(d*x + c) + e^(-d*x - c))^5)/d","B",0
24,1,355,0,0.189354," ","integrate(csch(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{5 \, {\left(9 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 18 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 36 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 54 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 24 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} + 15 \, a^{2} b + 24 \, a b^{2} + 11 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}} - \frac{45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 90 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 45 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 180 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 450 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 240 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 270 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 750 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 490 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 180 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 510 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 320 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 45 \, a^{2} b + 120 \, a b^{2} + 73 \, b^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}\right)}}{15 \, d}"," ",0,"2/15*(5*(9*a^2*b*e^(4*d*x + 4*c) + 18*a*b^2*e^(4*d*x + 4*c) + 9*b^3*e^(4*d*x + 4*c) - 6*a^3*e^(2*d*x + 2*c) - 36*a^2*b*e^(2*d*x + 2*c) - 54*a*b^2*e^(2*d*x + 2*c) - 24*b^3*e^(2*d*x + 2*c) + 2*a^3 + 15*a^2*b + 24*a*b^2 + 11*b^3)/(e^(2*d*x + 2*c) - 1)^3 - (45*a^2*b*e^(8*d*x + 8*c) + 90*a*b^2*e^(8*d*x + 8*c) + 45*b^3*e^(8*d*x + 8*c) + 180*a^2*b*e^(6*d*x + 6*c) + 450*a*b^2*e^(6*d*x + 6*c) + 240*b^3*e^(6*d*x + 6*c) + 270*a^2*b*e^(4*d*x + 4*c) + 750*a*b^2*e^(4*d*x + 4*c) + 490*b^3*e^(4*d*x + 4*c) + 180*a^2*b*e^(2*d*x + 2*c) + 510*a*b^2*e^(2*d*x + 2*c) + 320*b^3*e^(2*d*x + 2*c) + 45*a^2*b + 120*a*b^2 + 73*b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
25,1,220,0,2.883091," ","integrate(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{8 \, {\left(3 \, a^{2} + 12 \, a b + 8 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3}} + \frac{a e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b e^{\left(2 \, d x + 2 \, c\right)}}{a^{2}} - \frac{{\left(18 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 72 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{a^{3}} - \frac{64 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{3}}}{64 \, d}"," ",0,"1/64*(8*(3*a^2 + 12*a*b + 8*b^2)*(d*x + c)/a^3 + (a*e^(4*d*x + 4*c) - 8*a*e^(2*d*x + 2*c) - 8*b*e^(2*d*x + 2*c))/a^2 - (18*a^2*e^(4*d*x + 4*c) + 72*a*b*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) - 8*a^2*e^(2*d*x + 2*c) - 8*a*b*e^(2*d*x + 2*c) + a^2)*e^(-4*d*x - 4*c)/a^3 - 64*(a^2*b + 2*a*b^2 + b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^3))/d","B",0
26,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,44]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[36,86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-59,-45]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,66]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[55,80]Undef/Unsigned Inf encountered in limitEvaluation time: 1.19Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
27,1,132,0,1.603235," ","integrate(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(d x + c\right)} {\left(a + 2 \, b\right)}}{a^{2}} - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{a} - \frac{{\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} - a\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a^{2}} - \frac{8 \, {\left(a b + b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{2}}}{8 \, d}"," ",0,"-1/8*(4*(d*x + c)*(a + 2*b)/a^2 - e^(2*d*x + 2*c)/a - (2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) - a)*e^(-2*d*x - 2*c)/a^2 - 8*(a*b + b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^2))/d","B",0
28,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,44]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Undef/Unsigned Inf encountered in limitEvaluation time: 0.7Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
29,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
30,1,75,0,0.633051," ","integrate(csch(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} {\left(a + b\right)}} - \frac{2}{{\left(a + b\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{d}"," ",0,"(b*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*(a + b)) - 2/((a + b)*(e^(2*d*x + 2*c) - 1)))/d","A",0
31,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Undef/Unsigned Inf encountered in limitEvaluation time: 0.45Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
32,1,123,0,0.668664," ","integrate(csch(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{3 \, a b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a + b\right)}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"-1/3*(3*a*b*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^2 + 2*a*b + b^2)*sqrt(-a*b - b^2)) + 2*(3*b*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) - 2*a + b)/((a^2 + 2*a*b + b^2)*(e^(2*d*x + 2*c) - 1)^3))/d","A",0
33,1,323,0,3.727717," ","integrate(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{24 \, {\left(a^{2} + 8 \, a b + 8 \, b^{2}\right)} {\left(d x + c\right)}}{a^{4}} - \frac{{\left(18 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 144 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 144 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{a^{4}} - \frac{96 \, {\left(a^{2} b + 3 \, a b^{2} + 2 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{4}} + \frac{a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, a b e^{\left(2 \, d x + 2 \, c\right)}}{a^{4}} + \frac{64 \, {\left(a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} b + a b^{2}\right)}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a^{4}}}{64 \, d}"," ",0,"1/64*(24*(a^2 + 8*a*b + 8*b^2)*(d*x + c)/a^4 - (18*a^2*e^(4*d*x + 4*c) + 144*a*b*e^(4*d*x + 4*c) + 144*b^2*e^(4*d*x + 4*c) - 8*a^2*e^(2*d*x + 2*c) - 16*a*b*e^(2*d*x + 2*c) + a^2)*e^(-4*d*x - 4*c)/a^4 - 96*(a^2*b + 3*a*b^2 + 2*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^4) + (a^2*e^(4*d*x + 4*c) - 8*a^2*e^(2*d*x + 2*c) - 16*a*b*e^(2*d*x + 2*c))/a^4 + 64*(a^2*b*e^(2*d*x + 2*c) + 3*a*b^2*e^(2*d*x + 2*c) + 2*b^3*e^(2*d*x + 2*c) + a^2*b + a*b^2)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a^4))/d","A",0
34,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-37,-59]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-67,22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-72,77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[43,41]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[37,80]Undef/Unsigned Inf encountered in limitEvaluation time: 1.43Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
35,1,234,0,2.050625," ","integrate(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(d x + c\right)} {\left(a + 4 \, b\right)}}{a^{3}} - \frac{3 \, e^{\left(2 \, d x + 2 \, c\right)}}{a^{2}} - \frac{12 \, {\left(3 \, a b + 4 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{3}} - \frac{2 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 8 \, a b e^{\left(6 \, d x + 6 \, c\right)} + a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 16 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 28 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a^{2}}{{\left(a e^{\left(6 \, d x + 6 \, c\right)} + 2 \, a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} + a e^{\left(2 \, d x + 2 \, c\right)}\right)} a^{3}}}{24 \, d}"," ",0,"-1/24*(12*(d*x + c)*(a + 4*b)/a^3 - 3*e^(2*d*x + 2*c)/a^2 - 12*(3*a*b + 4*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^3) - (2*a^2*e^(6*d*x + 6*c) + 8*a*b*e^(6*d*x + 6*c) + a^2*e^(4*d*x + 4*c) - 16*b^2*e^(4*d*x + 4*c) - 4*a^2*e^(2*d*x + 2*c) - 28*a*b*e^(2*d*x + 2*c) - 3*a^2)/((a*e^(6*d*x + 6*c) + 2*a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) + a*e^(2*d*x + 2*c))*a^3))/d","A",0
36,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[67,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-88,66]Undef/Unsigned Inf encountered in limitEvaluation time: 0.78Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
37,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
38,1,239,0,0.732106," ","integrate(csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(2 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + a b e^{\left(4 \, d x + 4 \, c\right)} + 2 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} - a b\right)}}{{\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} {\left(a e^{\left(6 \, d x + 6 \, c\right)} + a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} - a e^{\left(2 \, d x + 2 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} - a\right)}}}{2 \, d}"," ",0,"1/2*(3*b*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^2 + 2*a*b + b^2)*sqrt(-a*b - b^2)) - 2*(2*a^2*e^(4*d*x + 4*c) + a*b*e^(4*d*x + 4*c) + 2*b^2*e^(4*d*x + 4*c) + 4*a^2*e^(2*d*x + 2*c) + 8*a*b*e^(2*d*x + 2*c) - 2*b^2*e^(2*d*x + 2*c) + 2*a^2 - a*b)/((a^3 + 2*a^2*b + a*b^2)*(a*e^(6*d*x + 6*c) + a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) - a*e^(2*d*x + 2*c) - 4*b*e^(2*d*x + 2*c) - a)))/d","B",0
39,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Undef/Unsigned Inf encountered in limitEvaluation time: 0.7Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
40,1,253,0,0.772238," ","integrate(csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(3 \, a b - 2 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{-a b - b^{2}}} - \frac{6 \, {\left(a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a b\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}} + \frac{8 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b e^{\left(2 \, d x + 2 \, c\right)} - a + 2 \, b\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(3*(3*a*b - 2*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(-a*b - b^2)) - 6*(a*b*e^(2*d*x + 2*c) + 2*b^2*e^(2*d*x + 2*c) + a*b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)) + 8*(3*b*e^(4*d*x + 4*c) + 3*a*e^(2*d*x + 2*c) - 3*b*e^(2*d*x + 2*c) - a + 2*b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*d*x + 2*c) - 1)^3))/d","B",0
41,1,518,0,6.127647," ","integrate(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{24 \, {\left(a^{2} + 12 \, a b + 16 \, b^{2}\right)} {\left(d x + c\right)}}{a^{5}} - \frac{24 \, {\left(5 \, a^{2} b + 20 \, a b^{2} + 16 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{5}} + \frac{a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 24 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)}}{a^{6}} - \frac{6 \, a^{4} e^{\left(12 \, d x + 12 \, c\right)} + 72 \, a^{3} b e^{\left(12 \, d x + 12 \, c\right)} + 96 \, a^{2} b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 16 \, a^{4} e^{\left(10 \, d x + 10 \, c\right)} + 168 \, a^{3} b e^{\left(10 \, d x + 10 \, c\right)} + 384 \, a^{2} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 256 \, a b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 5 \, a^{4} e^{\left(8 \, d x + 8 \, c\right)} - 64 \, a^{3} b e^{\left(8 \, d x + 8 \, c\right)} - 192 \, a^{2} b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 256 \, a b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 256 \, b^{4} e^{\left(8 \, d x + 8 \, c\right)} - 20 \, a^{4} e^{\left(6 \, d x + 6 \, c\right)} - 360 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} - 1024 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 896 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 20 \, a^{4} e^{\left(4 \, d x + 4 \, c\right)} - 216 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} - 304 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a^{4} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + a^{4}}{{\left(a e^{\left(6 \, d x + 6 \, c\right)} + 2 \, a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} + a e^{\left(2 \, d x + 2 \, c\right)}\right)}^{2} a^{5}}}{64 \, d}"," ",0,"1/64*(24*(a^2 + 12*a*b + 16*b^2)*(d*x + c)/a^5 - 24*(5*a^2*b + 20*a*b^2 + 16*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^5) + (a^3*e^(4*d*x + 4*c) - 8*a^3*e^(2*d*x + 2*c) - 24*a^2*b*e^(2*d*x + 2*c))/a^6 - (6*a^4*e^(12*d*x + 12*c) + 72*a^3*b*e^(12*d*x + 12*c) + 96*a^2*b^2*e^(12*d*x + 12*c) + 16*a^4*e^(10*d*x + 10*c) + 168*a^3*b*e^(10*d*x + 10*c) + 384*a^2*b^2*e^(10*d*x + 10*c) + 256*a*b^3*e^(10*d*x + 10*c) + 5*a^4*e^(8*d*x + 8*c) - 64*a^3*b*e^(8*d*x + 8*c) - 192*a^2*b^2*e^(8*d*x + 8*c) - 256*a*b^3*e^(8*d*x + 8*c) - 256*b^4*e^(8*d*x + 8*c) - 20*a^4*e^(6*d*x + 6*c) - 360*a^3*b*e^(6*d*x + 6*c) - 1024*a^2*b^2*e^(6*d*x + 6*c) - 896*a*b^3*e^(6*d*x + 6*c) - 20*a^4*e^(4*d*x + 4*c) - 216*a^3*b*e^(4*d*x + 4*c) - 304*a^2*b^2*e^(4*d*x + 4*c) - 4*a^4*e^(2*d*x + 2*c) - 16*a^3*b*e^(2*d*x + 2*c) + a^4)/((a*e^(6*d*x + 6*c) + 2*a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) + a*e^(2*d*x + 2*c))^2*a^5))/d","B",0
42,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-5,48]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,-84]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[90,-39]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[70,15]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-11,29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,29]Undef/Unsigned Inf encountered in limitEvaluation time: 3.48Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
43,1,370,0,3.701844," ","integrate(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(15 \, a^{2} b + 40 \, a b^{2} + 24 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{5} + a^{4} b\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(9 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 32 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 24 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 27 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 102 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 152 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 80 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 56 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{3} b + 10 \, a^{2} b^{2}\right)}}{{\left(a^{5} + a^{4} b\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} - \frac{4 \, {\left(d x + c\right)} {\left(a + 6 \, b\right)}}{a^{4}} + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{a^{3}} + \frac{{\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b e^{\left(2 \, d x + 2 \, c\right)} - a\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a^{4}}}{8 \, d}"," ",0,"1/8*((15*a^2*b + 40*a*b^2 + 24*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^5 + a^4*b)*sqrt(-a*b - b^2)) - 2*(9*a^3*b*e^(6*d*x + 6*c) + 32*a^2*b^2*e^(6*d*x + 6*c) + 24*a*b^3*e^(6*d*x + 6*c) + 27*a^3*b*e^(4*d*x + 4*c) + 102*a^2*b^2*e^(4*d*x + 4*c) + 152*a*b^3*e^(4*d*x + 4*c) + 80*b^4*e^(4*d*x + 4*c) + 27*a^3*b*e^(2*d*x + 2*c) + 80*a^2*b^2*e^(2*d*x + 2*c) + 56*a*b^3*e^(2*d*x + 2*c) + 9*a^3*b + 10*a^2*b^2)/((a^5 + a^4*b)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) - 4*(d*x + c)*(a + 6*b)/a^4 + e^(2*d*x + 2*c)/a^3 + (2*a*e^(2*d*x + 2*c) + 12*b*e^(2*d*x + 2*c) - a)*e^(-2*d*x - 2*c)/a^4)/d","B",0
44,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-82,81]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-60,-34]Undef/Unsigned Inf encountered in limitEvaluation time: 2.06Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
45,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Undef/Unsigned Inf encountered in limitEvaluation time: 1.19Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
46,1,347,0,1.760599," ","integrate(csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(9 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 24 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 8 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 27 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 78 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 88 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 56 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{3} b + 2 \, a^{2} b^{2}\right)}}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} - \frac{16}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{8 \, d}"," ",0,"1/8*(15*b*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(-a*b - b^2)) - 2*(9*a^3*b*e^(6*d*x + 6*c) + 24*a^2*b^2*e^(6*d*x + 6*c) + 8*a*b^3*e^(6*d*x + 6*c) + 27*a^3*b*e^(4*d*x + 4*c) + 78*a^2*b^2*e^(4*d*x + 4*c) + 88*a*b^3*e^(4*d*x + 4*c) + 16*b^4*e^(4*d*x + 4*c) + 27*a^3*b*e^(2*d*x + 2*c) + 56*a^2*b^2*e^(2*d*x + 2*c) + 8*a*b^3*e^(2*d*x + 2*c) + 9*a^3*b + 2*a^2*b^2)/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) - 16/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*d*x + 2*c) - 1)))/d","B",0
47,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Undef/Unsigned Inf encountered in limitEvaluation time: 1.54Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
48,1,406,0,1.664057," ","integrate(csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, a b - 4 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sqrt{-a b - b^{2}}} - \frac{6 \, {\left(9 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 20 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 27 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 66 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 56 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 16 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 44 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{3} b - 2 \, a^{2} b^{2}\right)}}{{\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} + \frac{16 \, {\left(9 \, b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 12 \, b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a + 7 \, b\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{24 \, d}"," ",0,"-1/24*(15*(3*a*b - 4*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sqrt(-a*b - b^2)) - 6*(9*a^3*b*e^(6*d*x + 6*c) + 20*a^2*b^2*e^(6*d*x + 6*c) + 27*a^3*b*e^(4*d*x + 4*c) + 66*a^2*b^2*e^(4*d*x + 4*c) + 56*a*b^3*e^(4*d*x + 4*c) - 16*b^4*e^(4*d*x + 4*c) + 27*a^3*b*e^(2*d*x + 2*c) + 44*a^2*b^2*e^(2*d*x + 2*c) - 16*a*b^3*e^(2*d*x + 2*c) + 9*a^3*b - 2*a^2*b^2)/((a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) + 16*(9*b*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) - 12*b*e^(2*d*x + 2*c) - 2*a + 7*b)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*(e^(2*d*x + 2*c) - 1)^3))/d","B",0
49,1,116,0,0.136576," ","integrate(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{8 \, {\left(d x + c\right)} {\left(3 \, a + 4 \, b\right)} + a e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} - {\left(18 \, a e^{\left(4 \, d x + 4 \, c\right)} + 24 \, b e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/64*(8*(d*x + c)*(3*a + 4*b) + a*e^(4*d*x + 4*c) + 8*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) - (18*a*e^(4*d*x + 4*c) + 24*b*e^(4*d*x + 4*c) + 8*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) + a)*e^(-4*d*x - 4*c))/d","B",0
50,1,72,0,0.157079," ","integrate(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{a e^{\left(3 \, d x + 3 \, c\right)} + 9 \, a e^{\left(d x + c\right)} + 12 \, b e^{\left(d x + c\right)} - {\left(9 \, a e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*(a*e^(3*d*x + 3*c) + 9*a*e^(d*x + c) + 12*b*e^(d*x + c) - (9*a*e^(2*d*x + 2*c) + 12*b*e^(2*d*x + 2*c) + a)*e^(-3*d*x - 3*c))/d","B",0
51,1,66,0,0.145863," ","integrate(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{4 \, {\left(d x + c\right)} {\left(a + 2 \, b\right)} + a e^{\left(2 \, d x + 2 \, c\right)} - {\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/8*(4*(d*x + c)*(a + 2*b) + a*e^(2*d*x + 2*c) - (2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*e^(-2*d*x - 2*c))/d","B",0
52,1,36,0,0.145665," ","integrate(cosh(d*x+c)*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{4 \, b \arctan\left(e^{\left(d x + c\right)}\right) + a e^{\left(d x + c\right)} - a e^{\left(-d x - c\right)}}{2 \, d}"," ",0,"1/2*(4*b*arctan(e^(d*x + c)) + a*e^(d*x + c) - a*e^(-d*x - c))/d","A",0
53,1,84,0,0.123845," ","integrate(sech(d*x+c)*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(2 \, a + b\right)} + \frac{4 \, b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4}}{4 \, d}"," ",0,"1/4*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(2*a + b) + 4*b*(e^(d*x + c) - e^(-d*x - c))/((e^(d*x + c) - e^(-d*x - c))^2 + 4))/d","B",0
54,1,61,0,0.124025," ","integrate(sech(d*x+c)^2*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 6 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a + 2 \, b\right)}}{3 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*a*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) + 6*b*e^(2*d*x + 2*c) + 3*a + 2*b)/(d*(e^(2*d*x + 2*c) + 1)^3)","B",0
55,1,156,0,0.157568," ","integrate(sech(d*x+c)^3*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(4 \, a + 3 \, b\right)} + \frac{4 \, {\left(4 \, a {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 3 \, b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 16 \, a {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 20 \, b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(4*a + 3*b) + 4*(4*a*(e^(d*x + c) - e^(-d*x - c))^3 + 3*b*(e^(d*x + c) - e^(-d*x - c))^3 + 16*a*(e^(d*x + c) - e^(-d*x - c)) + 20*b*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
56,1,85,0,0.145039," ","integrate(sech(d*x+c)^4*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{4 \, {\left(15 \, a e^{\left(6 \, d x + 6 \, c\right)} + 35 \, a e^{\left(4 \, d x + 4 \, c\right)} + 40 \, b e^{\left(4 \, d x + 4 \, c\right)} + 25 \, a e^{\left(2 \, d x + 2 \, c\right)} + 20 \, b e^{\left(2 \, d x + 2 \, c\right)} + 5 \, a + 4 \, b\right)}}{15 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}"," ",0,"-4/15*(15*a*e^(6*d*x + 6*c) + 35*a*e^(4*d*x + 4*c) + 40*b*e^(4*d*x + 4*c) + 25*a*e^(2*d*x + 2*c) + 20*b*e^(2*d*x + 2*c) + 5*a + 4*b)/(d*(e^(2*d*x + 2*c) + 1)^5)","A",0
57,1,151,0,0.154650," ","integrate(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 16 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, {\left(3 \, a^{2} + 8 \, a b + 8 \, b^{2}\right)} {\left(d x + c\right)} - {\left(18 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 16 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/64*(a^2*e^(4*d*x + 4*c) + 8*a^2*e^(2*d*x + 2*c) + 16*a*b*e^(2*d*x + 2*c) + 8*(3*a^2 + 8*a*b + 8*b^2)*(d*x + c) - (18*a^2*e^(4*d*x + 4*c) + 48*a*b*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) + 8*a^2*e^(2*d*x + 2*c) + 16*a*b*e^(2*d*x + 2*c) + a^2)*e^(-4*d*x - 4*c))/d","A",0
58,1,94,0,0.151415," ","integrate(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{48 \, b^{2} \arctan\left(e^{\left(d x + c\right)}\right) + a^{2} e^{\left(3 \, d x + 3 \, c\right)} + 9 \, a^{2} e^{\left(d x + c\right)} + 24 \, a b e^{\left(d x + c\right)} - {\left(9 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*(48*b^2*arctan(e^(d*x + c)) + a^2*e^(3*d*x + 3*c) + 9*a^2*e^(d*x + c) + 24*a*b*e^(d*x + c) - (9*a^2*e^(2*d*x + 2*c) + 24*a*b*e^(2*d*x + 2*c) + a^2)*e^(-3*d*x - 3*c))/d","A",0
59,1,128,0,0.172827," ","integrate(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, {\left(a^{2} + 4 \, a b\right)} {\left(d x + c\right)} - \frac{a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 16 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2}}{e^{\left(4 \, d x + 4 \, c\right)} + e^{\left(2 \, d x + 2 \, c\right)}}}{8 \, d}"," ",0,"1/8*(a^2*e^(2*d*x + 2*c) + 4*(a^2 + 4*a*b)*(d*x + c) - (a^2*e^(4*d*x + 4*c) + 4*a*b*e^(4*d*x + 4*c) + 2*a^2*e^(2*d*x + 2*c) + 4*a*b*e^(2*d*x + 2*c) + 16*b^2*e^(2*d*x + 2*c) + a^2)/(e^(4*d*x + 4*c) + e^(2*d*x + 2*c)))/d","B",0
60,1,112,0,0.138608," ","integrate(cosh(d*x+c)*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{2 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(4 \, a b + b^{2}\right)} + \frac{4 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4}}{4 \, d}"," ",0,"1/4*(2*a^2*(e^(d*x + c) - e^(-d*x - c)) + (pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(4*a*b + b^2) + 4*b^2*(e^(d*x + c) - e^(-d*x - c))/((e^(d*x + c) - e^(-d*x - c))^2 + 4))/d","B",0
61,1,170,0,0.140508," ","integrate(sech(d*x+c)*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(8 \, a^{2} + 8 \, a b + 3 \, b^{2}\right)} + \frac{4 \, {\left(8 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 3 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 32 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 20 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(8*a^2 + 8*a*b + 3*b^2) + 4*(8*a*b*(e^(d*x + c) - e^(-d*x - c))^3 + 3*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 32*a*b*(e^(d*x + c) - e^(-d*x - c)) + 20*b^2*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
62,1,156,0,0.172915," ","integrate(sech(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 60 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 60 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 140 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 100 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 40 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 15 \, a^{2} + 20 \, a b + 8 \, b^{2}\right)}}{15 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}"," ",0,"-2/15*(15*a^2*e^(8*d*x + 8*c) + 60*a^2*e^(6*d*x + 6*c) + 60*a*b*e^(6*d*x + 6*c) + 90*a^2*e^(4*d*x + 4*c) + 140*a*b*e^(4*d*x + 4*c) + 80*b^2*e^(4*d*x + 4*c) + 60*a^2*e^(2*d*x + 2*c) + 100*a*b*e^(2*d*x + 2*c) + 40*b^2*e^(2*d*x + 2*c) + 15*a^2 + 20*a*b + 8*b^2)/(d*(e^(2*d*x + 2*c) + 1)^5)","B",0
63,1,293,0,0.160470," ","integrate(sech(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(8 \, a^{2} + 12 \, a b + 5 \, b^{2}\right)} + \frac{4 \, {\left(24 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 36 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 15 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 192 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 384 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 160 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 384 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 960 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 528 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(8*a^2 + 12*a*b + 5*b^2) + 4*(24*a^2*(e^(d*x + c) - e^(-d*x - c))^5 + 36*a*b*(e^(d*x + c) - e^(-d*x - c))^5 + 15*b^2*(e^(d*x + c) - e^(-d*x - c))^5 + 192*a^2*(e^(d*x + c) - e^(-d*x - c))^3 + 384*a*b*(e^(d*x + c) - e^(-d*x - c))^3 + 160*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 384*a^2*(e^(d*x + c) - e^(-d*x - c)) + 960*a*b*(e^(d*x + c) - e^(-d*x - c)) + 528*b^2*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^3)/d","B",0
64,1,197,0,0.159327," ","integrate(sech(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(105 \, a^{2} e^{\left(10 \, d x + 10 \, c\right)} + 455 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 560 \, a b e^{\left(8 \, d x + 8 \, c\right)} + 770 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 1400 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 840 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 630 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 1176 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 504 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 245 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 392 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 168 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 35 \, a^{2} + 56 \, a b + 24 \, b^{2}\right)}}{105 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}"," ",0,"-4/105*(105*a^2*e^(10*d*x + 10*c) + 455*a^2*e^(8*d*x + 8*c) + 560*a*b*e^(8*d*x + 8*c) + 770*a^2*e^(6*d*x + 6*c) + 1400*a*b*e^(6*d*x + 6*c) + 840*b^2*e^(6*d*x + 6*c) + 630*a^2*e^(4*d*x + 4*c) + 1176*a*b*e^(4*d*x + 4*c) + 504*b^2*e^(4*d*x + 4*c) + 245*a^2*e^(2*d*x + 2*c) + 392*a*b*e^(2*d*x + 2*c) + 168*b^2*e^(2*d*x + 2*c) + 35*a^2 + 56*a*b + 24*b^2)/(d*(e^(2*d*x + 2*c) + 1)^7)","B",0
65,1,177,0,0.214243," ","integrate(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 24 \, {\left(a^{3} + 4 \, a^{2} b + 8 \, a b^{2}\right)} {\left(d x + c\right)} - \frac{128 \, b^{3}}{e^{\left(2 \, d x + 2 \, c\right)} + 1} - {\left(18 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 72 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 144 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + a^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/64*(a^3*e^(4*d*x + 4*c) + 8*a^3*e^(2*d*x + 2*c) + 24*a^2*b*e^(2*d*x + 2*c) + 24*(a^3 + 4*a^2*b + 8*a*b^2)*(d*x + c) - 128*b^3/(e^(2*d*x + 2*c) + 1) - (18*a^3*e^(4*d*x + 4*c) + 72*a^2*b*e^(4*d*x + 4*c) + 144*a*b^2*e^(4*d*x + 4*c) + 8*a^3*e^(2*d*x + 2*c) + 24*a^2*b*e^(2*d*x + 2*c) + a^3)*e^(-4*d*x - 4*c))/d","B",0
66,1,163,0,0.212608," ","integrate(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 12 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 36 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + \frac{24 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4} + 6 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(6 \, a b^{2} + b^{3}\right)}}{24 \, d}"," ",0,"1/24*(a^3*(e^(d*x + c) - e^(-d*x - c))^3 + 12*a^3*(e^(d*x + c) - e^(-d*x - c)) + 36*a^2*b*(e^(d*x + c) - e^(-d*x - c)) + 24*b^3*(e^(d*x + c) - e^(-d*x - c))/((e^(d*x + c) - e^(-d*x - c))^2 + 4) + 6*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(6*a*b^2 + b^3))/d","B",0
67,1,152,0,0.195319," ","integrate(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, {\left(a^{3} + 6 \, a^{2} b\right)} {\left(d x + c\right)} - 3 \, {\left(2 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + a^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - \frac{16 \, {\left(9 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 18 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a b^{2} + 2 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*a^3*e^(2*d*x + 2*c) + 12*(a^3 + 6*a^2*b)*(d*x + c) - 3*(2*a^3*e^(2*d*x + 2*c) + 12*a^2*b*e^(2*d*x + 2*c) + a^3)*e^(-2*d*x - 2*c) - 16*(9*a*b^2*e^(4*d*x + 4*c) + 18*a*b^2*e^(2*d*x + 2*c) + 6*b^3*e^(2*d*x + 2*c) + 9*a*b^2 + 2*b^3)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
68,1,199,0,0.190844," ","integrate(cosh(d*x+c)*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{8 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(8 \, a^{2} b + 4 \, a b^{2} + b^{3}\right)} + \frac{4 \, {\left(12 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 3 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 48 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 20 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*(8*a^3*(e^(d*x + c) - e^(-d*x - c)) + 3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(8*a^2*b + 4*a*b^2 + b^3) + 4*(12*a*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 3*b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 48*a*b^2*(e^(d*x + c) - e^(-d*x - c)) + 20*b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
69,1,310,0,0.188748," ","integrate(sech(d*x+c)*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(16 \, a^{3} + 24 \, a^{2} b + 18 \, a b^{2} + 5 \, b^{3}\right)} + \frac{4 \, {\left(72 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 54 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 15 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 576 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 576 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 160 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 1152 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 1440 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 528 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(16*a^3 + 24*a^2*b + 18*a*b^2 + 5*b^3) + 4*(72*a^2*b*(e^(d*x + c) - e^(-d*x - c))^5 + 54*a*b^2*(e^(d*x + c) - e^(-d*x - c))^5 + 15*b^3*(e^(d*x + c) - e^(-d*x - c))^5 + 576*a^2*b*(e^(d*x + c) - e^(-d*x - c))^3 + 576*a*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 160*b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 1152*a^2*b*(e^(d*x + c) - e^(-d*x - c)) + 1440*a*b^2*(e^(d*x + c) - e^(-d*x - c)) + 528*b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^3)/d","B",0
70,1,302,0,0.190781," ","integrate(sech(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 210 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 210 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 525 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 910 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 560 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 700 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 1540 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 1400 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 560 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 525 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 1260 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 1176 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 336 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 210 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 490 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 392 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 112 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 35 \, a^{3} + 70 \, a^{2} b + 56 \, a b^{2} + 16 \, b^{3}\right)}}{35 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}"," ",0,"-2/35*(35*a^3*e^(12*d*x + 12*c) + 210*a^3*e^(10*d*x + 10*c) + 210*a^2*b*e^(10*d*x + 10*c) + 525*a^3*e^(8*d*x + 8*c) + 910*a^2*b*e^(8*d*x + 8*c) + 560*a*b^2*e^(8*d*x + 8*c) + 700*a^3*e^(6*d*x + 6*c) + 1540*a^2*b*e^(6*d*x + 6*c) + 1400*a*b^2*e^(6*d*x + 6*c) + 560*b^3*e^(6*d*x + 6*c) + 525*a^3*e^(4*d*x + 4*c) + 1260*a^2*b*e^(4*d*x + 4*c) + 1176*a*b^2*e^(4*d*x + 4*c) + 336*b^3*e^(4*d*x + 4*c) + 210*a^3*e^(2*d*x + 2*c) + 490*a^2*b*e^(2*d*x + 2*c) + 392*a*b^2*e^(2*d*x + 2*c) + 112*b^3*e^(2*d*x + 2*c) + 35*a^3 + 70*a^2*b + 56*a*b^2 + 16*b^3)/(d*(e^(2*d*x + 2*c) + 1)^7)","B",0
71,1,485,0,0.176990," ","integrate(sech(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(64 \, a^{3} + 144 \, a^{2} b + 120 \, a b^{2} + 35 \, b^{3}\right)} + \frac{4 \, {\left(192 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{7} + 432 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{7} + 360 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{7} + 105 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{7} + 2304 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 6336 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 5280 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 1540 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 9216 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 29952 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 28032 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 8176 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 12288 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 46080 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 50688 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 17856 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{4}}}{768 \, d}"," ",0,"1/768*(3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(64*a^3 + 144*a^2*b + 120*a*b^2 + 35*b^3) + 4*(192*a^3*(e^(d*x + c) - e^(-d*x - c))^7 + 432*a^2*b*(e^(d*x + c) - e^(-d*x - c))^7 + 360*a*b^2*(e^(d*x + c) - e^(-d*x - c))^7 + 105*b^3*(e^(d*x + c) - e^(-d*x - c))^7 + 2304*a^3*(e^(d*x + c) - e^(-d*x - c))^5 + 6336*a^2*b*(e^(d*x + c) - e^(-d*x - c))^5 + 5280*a*b^2*(e^(d*x + c) - e^(-d*x - c))^5 + 1540*b^3*(e^(d*x + c) - e^(-d*x - c))^5 + 9216*a^3*(e^(d*x + c) - e^(-d*x - c))^3 + 29952*a^2*b*(e^(d*x + c) - e^(-d*x - c))^3 + 28032*a*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 8176*b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 12288*a^3*(e^(d*x + c) - e^(-d*x - c)) + 46080*a^2*b*(e^(d*x + c) - e^(-d*x - c)) + 50688*a*b^2*(e^(d*x + c) - e^(-d*x - c)) + 17856*b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^4)/d","B",0
72,1,360,0,0.181560," ","integrate(sech(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{4 \, {\left(315 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} + 1995 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 2520 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 5355 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 11340 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 7560 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 7875 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 20412 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 19656 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 8064 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 6825 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 18648 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 18144 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 5376 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 3465 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 9072 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 7776 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 2304 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 945 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2268 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 1944 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 576 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 105 \, a^{3} + 252 \, a^{2} b + 216 \, a b^{2} + 64 \, b^{3}\right)}}{315 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{9}}"," ",0,"-4/315*(315*a^3*e^(14*d*x + 14*c) + 1995*a^3*e^(12*d*x + 12*c) + 2520*a^2*b*e^(12*d*x + 12*c) + 5355*a^3*e^(10*d*x + 10*c) + 11340*a^2*b*e^(10*d*x + 10*c) + 7560*a*b^2*e^(10*d*x + 10*c) + 7875*a^3*e^(8*d*x + 8*c) + 20412*a^2*b*e^(8*d*x + 8*c) + 19656*a*b^2*e^(8*d*x + 8*c) + 8064*b^3*e^(8*d*x + 8*c) + 6825*a^3*e^(6*d*x + 6*c) + 18648*a^2*b*e^(6*d*x + 6*c) + 18144*a*b^2*e^(6*d*x + 6*c) + 5376*b^3*e^(6*d*x + 6*c) + 3465*a^3*e^(4*d*x + 4*c) + 9072*a^2*b*e^(4*d*x + 4*c) + 7776*a*b^2*e^(4*d*x + 4*c) + 2304*b^3*e^(4*d*x + 4*c) + 945*a^3*e^(2*d*x + 2*c) + 2268*a^2*b*e^(2*d*x + 2*c) + 1944*a*b^2*e^(2*d*x + 2*c) + 576*b^3*e^(2*d*x + 2*c) + 105*a^3 + 252*a^2*b + 216*a*b^2 + 64*b^3)/(d*(e^(2*d*x + 2*c) + 1)^9)","B",0
73,1,208,0,2.623104," ","integrate(cosh(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{64 \, b^{3} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{3}} - \frac{8 \, {\left(3 \, a^{2} - 4 \, a b + 8 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3}} - \frac{a e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b e^{\left(2 \, d x + 2 \, c\right)}}{a^{2}} + \frac{{\left(18 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 24 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{a^{3}}}{64 \, d}"," ",0,"-1/64*(64*b^3*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^3) - 8*(3*a^2 - 4*a*b + 8*b^2)*(d*x + c)/a^3 - (a*e^(4*d*x + 4*c) + 8*a*e^(2*d*x + 2*c) - 8*b*e^(2*d*x + 2*c))/a^2 + (18*a^2*e^(4*d*x + 4*c) - 24*a*b*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) + 8*a^2*e^(2*d*x + 2*c) - 8*a*b*e^(2*d*x + 2*c) + a^2)*e^(-4*d*x - 4*c)/a^3)/d","B",0
74,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,44]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[36,86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-59,-45]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,66]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[55,80]Undef/Unsigned Inf encountered in limitEvaluation time: 1.25Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
75,1,125,0,1.574262," ","integrate(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{8 \, b^{2} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a^{2}} + \frac{4 \, {\left(d x + c\right)} {\left(a - 2 \, b\right)}}{a^{2}} + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{a} - \frac{{\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a^{2}}}{8 \, d}"," ",0,"1/8*(8*b^2*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a^2) + 4*(d*x + c)*(a - 2*b)/a^2 + e^(2*d*x + 2*c)/a - (2*a*e^(2*d*x + 2*c) - 4*b*e^(2*d*x + 2*c) + a)*e^(-2*d*x - 2*c)/a^2)/d","A",0
76,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,44]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Undef/Unsigned Inf encountered in limitEvaluation time: 0.84Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
77,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
78,1,47,0,0.639051," ","integrate(sech(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} d}"," ",0,"arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*d)","A",0
79,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Undef/Unsigned Inf encountered in limitEvaluation time: 0.57Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
80,1,72,0,0.621508," ","integrate(sech(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{a \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} b} + \frac{2}{b {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}}}{d}"," ",0,"-(a*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*b) + 2/(b*(e^(2*d*x + 2*c) + 1)))/d","A",0
81,-2,0,0,0.000000," ","integrate(sech(d*x+c)^5/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-13,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,-82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[97,-56]Undef/Unsigned Inf encountered in limitEvaluation time: 0.48Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
82,1,118,0,0.639395," ","integrate(sech(d*x+c)^6/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{3 \, a^{2} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} b^{2}} + \frac{2 \, {\left(3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a - 2 \, b\right)}}{b^{2} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a^2*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*b^2) + 2*(3*a*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) - 6*b*e^(2*d*x + 2*c) + 3*a - 2*b)/(b^2*(e^(2*d*x + 2*c) + 1)^3))/d","A",0
83,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-37,-59]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-67,22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[62,70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[50,35]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[43,41]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[37,80]Undef/Unsigned Inf encountered in limitEvaluation time: 1.64Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
84,1,323,0,2.018109," ","integrate(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(5 \, a b^{2} + 4 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{4} + a^{3} b\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 6 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 7 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 16 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 28 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{3} + 3 \, a^{2} b}{{\left(a^{4} + a^{3} b\right)} {\left(a e^{\left(6 \, d x + 6 \, c\right)} + 2 \, a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} + a e^{\left(2 \, d x + 2 \, c\right)}\right)}} + \frac{12 \, {\left(d x + c\right)} {\left(a - 4 \, b\right)}}{a^{3}} + \frac{3 \, e^{\left(2 \, d x + 2 \, c\right)}}{a^{2}}}{24 \, d}"," ",0,"1/24*(12*(5*a*b^2 + 4*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^4 + a^3*b)*sqrt(-a*b - b^2)) - (2*a^3*e^(6*d*x + 6*c) - 6*a^2*b*e^(6*d*x + 6*c) - 8*a*b^2*e^(6*d*x + 6*c) + 7*a^3*e^(4*d*x + 4*c) - a^2*b*e^(4*d*x + 4*c) - 16*a*b^2*e^(4*d*x + 4*c) + 16*b^3*e^(4*d*x + 4*c) + 8*a^3*e^(2*d*x + 2*c) + 12*a^2*b*e^(2*d*x + 2*c) + 28*a*b^2*e^(2*d*x + 2*c) + 3*a^3 + 3*a^2*b)/((a^4 + a^3*b)*(a*e^(6*d*x + 6*c) + 2*a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) + a*e^(2*d*x + 2*c))) + 12*(d*x + c)*(a - 4*b)/a^3 + 3*e^(2*d*x + 2*c)/a^2)/d","B",0
85,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[67,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-88,66]Undef/Unsigned Inf encountered in limitEvaluation time: 0.99Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
86,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
87,1,130,0,0.744092," ","integrate(sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{\arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} {\left(a + b\right)}} - \frac{2 \, {\left(a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}{{\left(a^{2} + a b\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}}{2 \, d}"," ",0,"1/2*(arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*(a + b)) - 2*(a*e^(2*d*x + 2*c) + 2*b*e^(2*d*x + 2*c) + a)/((a^2 + a*b)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)))/d","A",0
88,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Undef/Unsigned Inf encountered in limitEvaluation time: 0.58Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
89,1,139,0,0.768706," ","integrate(sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(a + 2 \, b\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a b + b^{2}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, {\left(a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}{{\left(a b + b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}}{2 \, d}"," ",0,"1/2*((a + 2*b)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a*b + b^2)*sqrt(-a*b - b^2)) + 2*(a*e^(2*d*x + 2*c) + 2*b*e^(2*d*x + 2*c) + a)/((a*b + b^2)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)))/d","A",0
90,-2,0,0,0.000000," ","integrate(sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Undef/Unsigned Inf encountered in limitEvaluation time: 0.62Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
91,1,225,0,0.789353," ","integrate(sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, a^{2} + 4 \, a b\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a b^{2} + b^{3}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, {\left(3 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 14 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{2} + 2 \, a b\right)}}{{\left(a b^{2} + b^{3}\right)} {\left(a e^{\left(6 \, d x + 6 \, c\right)} + 3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}}{2 \, d}"," ",0,"-1/2*((3*a^2 + 4*a*b)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a*b^2 + b^3)*sqrt(-a*b - b^2)) + 2*(3*a^2*e^(4*d*x + 4*c) + 4*a*b*e^(4*d*x + 4*c) + 6*a^2*e^(2*d*x + 2*c) + 14*a*b*e^(2*d*x + 2*c) + 8*b^2*e^(2*d*x + 2*c) + 3*a^2 + 2*a*b)/((a*b^2 + b^3)*(a*e^(6*d*x + 6*c) + 3*a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) + 3*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)))/d","B",0
92,-2,0,0,0.000000," ","integrate(sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[12,-32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,72]Undef/Unsigned Inf encountered in limitEvaluation time: 0.71Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
93,1,395,0,3.670646," ","integrate(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(35 \, a^{2} b^{2} + 56 \, a b^{3} + 24 \, b^{4}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(13 \, a^{3} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 40 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 24 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 39 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 134 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 184 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 39 \, a^{3} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 104 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 56 \, a b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 13 \, a^{3} b^{2} + 10 \, a^{2} b^{3}\right)}}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} + \frac{4 \, {\left(d x + c\right)} {\left(a - 6 \, b\right)}}{a^{4}} + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{a^{3}} - \frac{{\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} - 12 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a^{4}}}{8 \, d}"," ",0,"1/8*((35*a^2*b^2 + 56*a*b^3 + 24*b^4)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^6 + 2*a^5*b + a^4*b^2)*sqrt(-a*b - b^2)) - 2*(13*a^3*b^2*e^(6*d*x + 6*c) + 40*a^2*b^3*e^(6*d*x + 6*c) + 24*a*b^4*e^(6*d*x + 6*c) + 39*a^3*b^2*e^(4*d*x + 4*c) + 134*a^2*b^3*e^(4*d*x + 4*c) + 184*a*b^4*e^(4*d*x + 4*c) + 80*b^5*e^(4*d*x + 4*c) + 39*a^3*b^2*e^(2*d*x + 2*c) + 104*a^2*b^3*e^(2*d*x + 2*c) + 56*a*b^4*e^(2*d*x + 2*c) + 13*a^3*b^2 + 10*a^2*b^3)/((a^6 + 2*a^5*b + a^4*b^2)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) + 4*(d*x + c)*(a - 6*b)/a^4 + e^(2*d*x + 2*c)/a^3 - (2*a*e^(2*d*x + 2*c) - 12*b*e^(2*d*x + 2*c) + a)*e^(-2*d*x - 2*c)/a^4)/d","B",0
94,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-82,81]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-60,-34]Undef/Unsigned Inf encountered in limitEvaluation time: 2.08Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
95,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Undef/Unsigned Inf encountered in limitEvaluation time: 1.18Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
96,1,282,0,1.754141," ","integrate(sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(5 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 8 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 15 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 46 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 56 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 15 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 5 \, a^{3} + 2 \, a^{2} b\right)}}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}}}{8 \, d}"," ",0,"1/8*(3*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^2 + 2*a*b + b^2)*sqrt(-a*b - b^2)) - 2*(5*a^3*e^(6*d*x + 6*c) + 16*a^2*b*e^(6*d*x + 6*c) + 8*a*b^2*e^(6*d*x + 6*c) + 15*a^3*e^(4*d*x + 4*c) + 46*a^2*b*e^(4*d*x + 4*c) + 56*a*b^2*e^(4*d*x + 4*c) + 16*b^3*e^(4*d*x + 4*c) + 15*a^3*e^(2*d*x + 2*c) + 32*a^2*b*e^(2*d*x + 2*c) + 8*a*b^2*e^(2*d*x + 2*c) + 5*a^3 + 2*a^2*b)/((a^4 + 2*a^3*b + a^2*b^2)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2))/d","B",0
97,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Undef/Unsigned Inf encountered in limitEvaluation time: 1.54Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
98,1,274,0,1.734086," ","integrate(sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(a + 4 \, b\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, {\left(a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 4 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 3 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 16 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 4 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 16 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{3} - 2 \, a^{2} b\right)}}{{\left(a^{3} b + 2 \, a^{2} b^{2} + a b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}}}{8 \, d}"," ",0,"1/8*((a + 4*b)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^2*b + 2*a*b^2 + b^3)*sqrt(-a*b - b^2)) + 2*(a^3*e^(6*d*x + 6*c) + 4*a^2*b*e^(6*d*x + 6*c) + 3*a^3*e^(4*d*x + 4*c) + 2*a^2*b*e^(4*d*x + 4*c) - 8*a*b^2*e^(4*d*x + 4*c) - 16*b^3*e^(4*d*x + 4*c) + 3*a^3*e^(2*d*x + 2*c) - 4*a^2*b*e^(2*d*x + 2*c) - 16*a*b^2*e^(2*d*x + 2*c) + a^3 - 2*a^2*b)/((a^3*b + 2*a^2*b^2 + a*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2))/d","B",0
99,-2,0,0,0.000000," ","integrate(sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Undef/Unsigned Inf encountered in limitEvaluation time: 1.6Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
100,1,302,0,1.751265," ","integrate(sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(3 \, a^{2} + 8 \, a b + 8 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, {\left(3 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 8 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 9 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 42 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 72 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 40 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 40 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{3} + 6 \, a^{2} b\right)}}{{\left(a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}}}{8 \, d}"," ",0,"1/8*((3*a^2 + 8*a*b + 8*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^2*b^2 + 2*a*b^3 + b^4)*sqrt(-a*b - b^2)) + 2*(3*a^3*e^(6*d*x + 6*c) + 8*a^2*b*e^(6*d*x + 6*c) + 8*a*b^2*e^(6*d*x + 6*c) + 9*a^3*e^(4*d*x + 4*c) + 42*a^2*b*e^(4*d*x + 4*c) + 72*a*b^2*e^(4*d*x + 4*c) + 48*b^3*e^(4*d*x + 4*c) + 9*a^3*e^(2*d*x + 2*c) + 40*a^2*b*e^(2*d*x + 2*c) + 40*a*b^2*e^(2*d*x + 2*c) + 3*a^3 + 6*a^2*b)/((a^2*b^2 + 2*a*b^3 + b^4)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2))/d","B",0
101,-2,0,0,0.000000," ","integrate(sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[84,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-42,-12]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-43,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-28,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-7,46]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-35,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[7,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-70]Undef/Unsigned Inf encountered in limitEvaluation time: 1.51Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
102,1,105,0,0.202044," ","integrate((a+b*sech(d*x+c)^2)*tanh(d*x+c)^4,x, algorithm=""giac"")","\frac{15 \, a d x + \frac{2 \, {\left(30 \, a e^{\left(8 \, d x + 8 \, c\right)} - 15 \, b e^{\left(8 \, d x + 8 \, c\right)} + 90 \, a e^{\left(6 \, d x + 6 \, c\right)} + 110 \, a e^{\left(4 \, d x + 4 \, c\right)} - 30 \, b e^{\left(4 \, d x + 4 \, c\right)} + 70 \, a e^{\left(2 \, d x + 2 \, c\right)} + 20 \, a - 3 \, b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*a*d*x + 2*(30*a*e^(8*d*x + 8*c) - 15*b*e^(8*d*x + 8*c) + 90*a*e^(6*d*x + 6*c) + 110*a*e^(4*d*x + 4*c) - 30*b*e^(4*d*x + 4*c) + 70*a*e^(2*d*x + 2*c) + 20*a - 3*b)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
103,1,116,0,0.178700," ","integrate((a+b*sech(d*x+c)^2)*tanh(d*x+c)^3,x, algorithm=""giac"")","-\frac{12 \, a d x - 12 \, a \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{25 \, a e^{\left(8 \, d x + 8 \, c\right)} + 76 \, a e^{\left(6 \, d x + 6 \, c\right)} + 24 \, b e^{\left(6 \, d x + 6 \, c\right)} + 102 \, a e^{\left(4 \, d x + 4 \, c\right)} + 76 \, a e^{\left(2 \, d x + 2 \, c\right)} + 24 \, b e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a*d*x - 12*a*log(e^(2*d*x + 2*c) + 1) + (25*a*e^(8*d*x + 8*c) + 76*a*e^(6*d*x + 6*c) + 24*b*e^(6*d*x + 6*c) + 102*a*e^(4*d*x + 4*c) + 76*a*e^(2*d*x + 2*c) + 24*b*e^(2*d*x + 2*c) + 25*a)/(e^(2*d*x + 2*c) + 1)^4)/d","B",0
104,1,69,0,0.161230," ","integrate((a+b*sech(d*x+c)^2)*tanh(d*x+c)^2,x, algorithm=""giac"")","\frac{3 \, a d x + \frac{2 \, {\left(3 \, a e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a - b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a*d*x + 2*(3*a*e^(4*d*x + 4*c) - 3*b*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) + 3*a - b)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
105,1,80,0,0.134445," ","integrate((a+b*sech(d*x+c)^2)*tanh(d*x+c),x, algorithm=""giac"")","-\frac{2 \, a d x - 2 \, a \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*a*d*x - 2*a*log(e^(2*d*x + 2*c) + 1) + (3*a*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + 3*a)/(e^(2*d*x + 2*c) + 1)^2)/d","B",0
106,1,23,0,0.121076," ","integrate(a+b*sech(d*x+c)^2,x, algorithm=""giac"")","a x - \frac{2 \, b}{d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}}"," ",0,"a*x - 2*b/(d*(e^(2*d*x + 2*c) + 1))","A",0
107,1,56,0,0.152622," ","integrate(coth(d*x+c)*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{a d x - {\left(a e^{\left(2 \, c\right)} + b e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{d}"," ",0,"-(a*d*x - (a*e^(2*c) + b*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) + b*log(e^(2*d*x + 2*c) + 1))/d","A",0
108,1,27,0,0.145856," ","integrate(coth(d*x+c)^2*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{a d x - \frac{2 \, {\left(a + b\right)}}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}{d}"," ",0,"(a*d*x - 2*(a + b)/(e^(2*d*x + 2*c) - 1))/d","A",0
109,1,81,0,0.207614," ","integrate(coth(d*x+c)^3*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, a d x - 2 \, a \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{3 \, a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*a*d*x - 2*a*log(abs(e^(2*d*x + 2*c) - 1)) + (3*a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + 3*a)/(e^(2*d*x + 2*c) - 1)^2)/d","B",0
110,1,67,0,0.214070," ","integrate(coth(d*x+c)^4*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, a d x - \frac{2 \, {\left(6 \, a e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a*d*x - 2*(6*a*e^(4*d*x + 4*c) + 3*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) + 4*a + b)/(e^(2*d*x + 2*c) - 1)^3)/d","B",0
111,1,117,0,0.231911," ","integrate(coth(d*x+c)^5*(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{12 \, a d x - 12 \, a \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{25 \, a e^{\left(8 \, d x + 8 \, c\right)} - 52 \, a e^{\left(6 \, d x + 6 \, c\right)} + 24 \, b e^{\left(6 \, d x + 6 \, c\right)} + 102 \, a e^{\left(4 \, d x + 4 \, c\right)} - 52 \, a e^{\left(2 \, d x + 2 \, c\right)} + 24 \, b e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a*d*x - 12*a*log(abs(e^(2*d*x + 2*c) - 1)) + (25*a*e^(8*d*x + 8*c) - 52*a*e^(6*d*x + 6*c) + 24*b*e^(6*d*x + 6*c) + 102*a*e^(4*d*x + 4*c) - 52*a*e^(2*d*x + 2*c) + 24*b*e^(2*d*x + 2*c) + 25*a)/(e^(2*d*x + 2*c) - 1)^4)/d","B",0
112,1,275,0,0.249114," ","integrate((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^4,x, algorithm=""giac"")","\frac{105 \, a^{2} d x + \frac{4 \, {\left(105 \, a^{2} e^{\left(12 \, d x + 12 \, c\right)} - 105 \, a b e^{\left(12 \, d x + 12 \, c\right)} + 525 \, a^{2} e^{\left(10 \, d x + 10 \, c\right)} - 210 \, a b e^{\left(10 \, d x + 10 \, c\right)} - 105 \, b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1120 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} - 315 \, a b e^{\left(8 \, d x + 8 \, c\right)} + 105 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 1330 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} - 420 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 210 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 945 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 231 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 42 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 385 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 42 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 21 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 70 \, a^{2} - 21 \, a b - 3 \, b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}}{105 \, d}"," ",0,"1/105*(105*a^2*d*x + 4*(105*a^2*e^(12*d*x + 12*c) - 105*a*b*e^(12*d*x + 12*c) + 525*a^2*e^(10*d*x + 10*c) - 210*a*b*e^(10*d*x + 10*c) - 105*b^2*e^(10*d*x + 10*c) + 1120*a^2*e^(8*d*x + 8*c) - 315*a*b*e^(8*d*x + 8*c) + 105*b^2*e^(8*d*x + 8*c) + 1330*a^2*e^(6*d*x + 6*c) - 420*a*b*e^(6*d*x + 6*c) - 210*b^2*e^(6*d*x + 6*c) + 945*a^2*e^(4*d*x + 4*c) - 231*a*b*e^(4*d*x + 4*c) + 42*b^2*e^(4*d*x + 4*c) + 385*a^2*e^(2*d*x + 2*c) - 42*a*b*e^(2*d*x + 2*c) - 21*b^2*e^(2*d*x + 2*c) + 70*a^2 - 21*a*b - 3*b^2)/(e^(2*d*x + 2*c) + 1)^7)/d","B",0
113,1,241,0,0.202417," ","integrate((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^3,x, algorithm=""giac"")","-\frac{60 \, a^{2} d x - 60 \, a^{2} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{147 \, a^{2} e^{\left(12 \, d x + 12 \, c\right)} + 762 \, a^{2} e^{\left(10 \, d x + 10 \, c\right)} + 240 \, a b e^{\left(10 \, d x + 10 \, c\right)} + 1725 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 480 \, a b e^{\left(8 \, d x + 8 \, c\right)} + 240 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 2220 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 480 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 160 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 1725 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 480 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 240 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 762 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 240 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 147 \, a^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{6}}}{60 \, d}"," ",0,"-1/60*(60*a^2*d*x - 60*a^2*log(e^(2*d*x + 2*c) + 1) + (147*a^2*e^(12*d*x + 12*c) + 762*a^2*e^(10*d*x + 10*c) + 240*a*b*e^(10*d*x + 10*c) + 1725*a^2*e^(8*d*x + 8*c) + 480*a*b*e^(8*d*x + 8*c) + 240*b^2*e^(8*d*x + 8*c) + 2220*a^2*e^(6*d*x + 6*c) + 480*a*b*e^(6*d*x + 6*c) - 160*b^2*e^(6*d*x + 6*c) + 1725*a^2*e^(4*d*x + 4*c) + 480*a*b*e^(4*d*x + 4*c) + 240*b^2*e^(4*d*x + 4*c) + 762*a^2*e^(2*d*x + 2*c) + 240*a*b*e^(2*d*x + 2*c) + 147*a^2)/(e^(2*d*x + 2*c) + 1)^6)/d","B",0
114,1,193,0,0.170855," ","integrate((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^2,x, algorithm=""giac"")","\frac{15 \, a^{2} d x + \frac{2 \, {\left(15 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} - 30 \, a b e^{\left(8 \, d x + 8 \, c\right)} + 60 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} - 60 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 30 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 10 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 20 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 10 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 15 \, a^{2} - 10 \, a b - 2 \, b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*a^2*d*x + 2*(15*a^2*e^(8*d*x + 8*c) - 30*a*b*e^(8*d*x + 8*c) + 60*a^2*e^(6*d*x + 6*c) - 60*a*b*e^(6*d*x + 6*c) - 30*b^2*e^(6*d*x + 6*c) + 90*a^2*e^(4*d*x + 4*c) - 40*a*b*e^(4*d*x + 4*c) + 10*b^2*e^(4*d*x + 4*c) + 60*a^2*e^(2*d*x + 2*c) - 20*a*b*e^(2*d*x + 2*c) - 10*b^2*e^(2*d*x + 2*c) + 15*a^2 - 10*a*b - 2*b^2)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
115,1,159,0,0.142088," ","integrate((a+b*sech(d*x+c)^2)^2*tanh(d*x+c),x, algorithm=""giac"")","-\frac{12 \, a^{2} d x - 12 \, a^{2} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{25 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 100 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 150 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 96 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 100 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 48 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a^2*d*x - 12*a^2*log(e^(2*d*x + 2*c) + 1) + (25*a^2*e^(8*d*x + 8*c) + 100*a^2*e^(6*d*x + 6*c) + 48*a*b*e^(6*d*x + 6*c) + 150*a^2*e^(4*d*x + 4*c) + 96*a*b*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) + 100*a^2*e^(2*d*x + 2*c) + 48*a*b*e^(2*d*x + 2*c) + 25*a^2)/(e^(2*d*x + 2*c) + 1)^4)/d","B",0
116,1,79,0,0.144317," ","integrate((a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} a^{2} - \frac{4 \, {\left(3 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b + b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*a^2 - 4*(3*a*b*e^(4*d*x + 4*c) + 6*a*b*e^(2*d*x + 2*c) + 3*b^2*e^(2*d*x + 2*c) + 3*a*b + b^2)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
117,1,171,0,0.170626," ","integrate(coth(d*x+c)*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, a^{2} d x + 2 \, {\left(2 \, a b e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) - 2 \, {\left(a^{2} e^{\left(2 \, c\right)} + 2 \, a b e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) - \frac{6 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 12 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 10 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b + 3 \, b^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*a^2*d*x + 2*(2*a*b*e^(2*c) + b^2*e^(2*c))*e^(-2*c)*log(e^(2*d*x + 2*c) + 1) - 2*(a^2*e^(2*c) + 2*a*b*e^(2*c) + b^2*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) - (6*a*b*e^(4*d*x + 4*c) + 3*b^2*e^(4*d*x + 4*c) + 12*a*b*e^(2*d*x + 2*c) + 10*b^2*e^(2*d*x + 2*c) + 6*a*b + 3*b^2)/(e^(2*d*x + 2*c) + 1)^2)/d","B",0
118,1,65,0,0.201391," ","integrate(coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{a^{2} d x - \frac{2 \, {\left(a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a^{2} + 2 \, a b + 2 \, b^{2}\right)}}{e^{\left(4 \, d x + 4 \, c\right)} - 1}}{d}"," ",0,"(a^2*d*x - 2*(a^2*e^(2*d*x + 2*c) + 2*a*b*e^(2*d*x + 2*c) + a^2 + 2*a*b + 2*b^2)/(e^(4*d*x + 4*c) - 1))/d","A",0
119,1,161,0,0.252110," ","integrate(coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, a^{2} d x - 2 \, b^{2} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) - 2 \, {\left(a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{3 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 10 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{2} - 3 \, b^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*a^2*d*x - 2*b^2*log(e^(2*d*x + 2*c) + 1) - 2*(a^2*e^(2*c) - b^2*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) + (3*a^2*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) - 2*a^2*e^(2*d*x + 2*c) + 8*a*b*e^(2*d*x + 2*c) + 10*b^2*e^(2*d*x + 2*c) + 3*a^2 - 3*b^2)/(e^(2*d*x + 2*c) - 1)^2)/d","B",0
120,1,97,0,0.272036," ","integrate(coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} d x - \frac{4 \, {\left(3 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} + a b - b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a^2*d*x - 4*(3*a^2*e^(4*d*x + 4*c) + 3*a*b*e^(4*d*x + 4*c) - 3*a^2*e^(2*d*x + 2*c) + 3*b^2*e^(2*d*x + 2*c) + 2*a^2 + a*b - b^2)/(e^(2*d*x + 2*c) - 1)^3)/d","B",0
121,1,147,0,0.336793," ","integrate(coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{12 \, a^{2} d x - 12 \, a^{2} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{25 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} - 52 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 102 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 52 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 48 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a^2*d*x - 12*a^2*log(abs(e^(2*d*x + 2*c) - 1)) + (25*a^2*e^(8*d*x + 8*c) - 52*a^2*e^(6*d*x + 6*c) + 48*a*b*e^(6*d*x + 6*c) + 102*a^2*e^(4*d*x + 4*c) + 48*b^2*e^(4*d*x + 4*c) - 52*a^2*e^(2*d*x + 2*c) + 48*a*b*e^(2*d*x + 2*c) + 25*a^2)/(e^(2*d*x + 2*c) - 1)^4)/d","B",0
122,1,167,0,0.373936," ","integrate(coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{15 \, a^{2} d x - \frac{2 \, {\left(45 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 30 \, a b e^{\left(8 \, d x + 8 \, c\right)} - 90 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 30 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 140 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 10 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 70 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 23 \, a^{2} + 6 \, a b - 2 \, b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*a^2*d*x - 2*(45*a^2*e^(8*d*x + 8*c) + 30*a*b*e^(8*d*x + 8*c) - 90*a^2*e^(6*d*x + 6*c) + 30*b^2*e^(6*d*x + 6*c) + 140*a^2*e^(4*d*x + 4*c) + 60*a*b*e^(4*d*x + 4*c) + 10*b^2*e^(4*d*x + 4*c) - 70*a^2*e^(2*d*x + 2*c) + 10*b^2*e^(2*d*x + 2*c) + 23*a^2 + 6*a*b - 2*b^2)/(e^(2*d*x + 2*c) - 1)^5)/d","B",0
123,1,216,0,0.459274," ","integrate(coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{60 \, a^{2} d x - 60 \, a^{2} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{147 \, a^{2} e^{\left(12 \, d x + 12 \, c\right)} - 522 \, a^{2} e^{\left(10 \, d x + 10 \, c\right)} + 240 \, a b e^{\left(10 \, d x + 10 \, c\right)} + 1485 \, a^{2} e^{\left(8 \, d x + 8 \, c\right)} + 240 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 1580 \, a^{2} e^{\left(6 \, d x + 6 \, c\right)} + 800 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 160 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 1485 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 240 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 522 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 240 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 147 \, a^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{6}}}{60 \, d}"," ",0,"-1/60*(60*a^2*d*x - 60*a^2*log(abs(e^(2*d*x + 2*c) - 1)) + (147*a^2*e^(12*d*x + 12*c) - 522*a^2*e^(10*d*x + 10*c) + 240*a*b*e^(10*d*x + 10*c) + 1485*a^2*e^(8*d*x + 8*c) + 240*b^2*e^(8*d*x + 8*c) - 1580*a^2*e^(6*d*x + 6*c) + 800*a*b*e^(6*d*x + 6*c) + 160*b^2*e^(6*d*x + 6*c) + 1485*a^2*e^(4*d*x + 4*c) + 240*b^2*e^(4*d*x + 4*c) - 522*a^2*e^(2*d*x + 2*c) + 240*a*b*e^(2*d*x + 2*c) + 147*a^2)/(e^(2*d*x + 2*c) - 1)^6)/d","B",0
124,1,472,0,0.304964," ","integrate((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^4,x, algorithm=""giac"")","\frac{315 \, a^{3} d x + \frac{2 \, {\left(630 \, a^{3} e^{\left(16 \, d x + 16 \, c\right)} - 945 \, a^{2} b e^{\left(16 \, d x + 16 \, c\right)} + 4410 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} - 3780 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} - 1890 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 13650 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} - 7560 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} - 1890 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 1680 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 24570 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} - 11340 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 1890 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 2520 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 28350 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 12474 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 4914 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 3528 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 21630 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 8316 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 2646 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 1008 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 10710 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 3024 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 54 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 288 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 3150 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 756 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 486 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 72 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 420 \, a^{3} - 189 \, a^{2} b - 54 \, a b^{2} - 8 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{9}}}{315 \, d}"," ",0,"1/315*(315*a^3*d*x + 2*(630*a^3*e^(16*d*x + 16*c) - 945*a^2*b*e^(16*d*x + 16*c) + 4410*a^3*e^(14*d*x + 14*c) - 3780*a^2*b*e^(14*d*x + 14*c) - 1890*a*b^2*e^(14*d*x + 14*c) + 13650*a^3*e^(12*d*x + 12*c) - 7560*a^2*b*e^(12*d*x + 12*c) - 1890*a*b^2*e^(12*d*x + 12*c) - 1680*b^3*e^(12*d*x + 12*c) + 24570*a^3*e^(10*d*x + 10*c) - 11340*a^2*b*e^(10*d*x + 10*c) - 1890*a*b^2*e^(10*d*x + 10*c) + 2520*b^3*e^(10*d*x + 10*c) + 28350*a^3*e^(8*d*x + 8*c) - 12474*a^2*b*e^(8*d*x + 8*c) - 4914*a*b^2*e^(8*d*x + 8*c) - 3528*b^3*e^(8*d*x + 8*c) + 21630*a^3*e^(6*d*x + 6*c) - 8316*a^2*b*e^(6*d*x + 6*c) - 2646*a*b^2*e^(6*d*x + 6*c) + 1008*b^3*e^(6*d*x + 6*c) + 10710*a^3*e^(4*d*x + 4*c) - 3024*a^2*b*e^(4*d*x + 4*c) - 54*a*b^2*e^(4*d*x + 4*c) - 288*b^3*e^(4*d*x + 4*c) + 3150*a^3*e^(2*d*x + 2*c) - 756*a^2*b*e^(2*d*x + 2*c) - 486*a*b^2*e^(2*d*x + 2*c) - 72*b^3*e^(2*d*x + 2*c) + 420*a^3 - 189*a^2*b - 54*a*b^2 - 8*b^3)/(e^(2*d*x + 2*c) + 1)^9)/d","B",0
125,1,384,0,0.272842," ","integrate((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^3,x, algorithm=""giac"")","-\frac{840 \, a^{3} d x - 840 \, a^{3} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{2283 \, a^{3} e^{\left(16 \, d x + 16 \, c\right)} + 16584 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} + 5040 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} + 53844 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 20160 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 10080 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 102648 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 35280 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 13440 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 8960 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 126210 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 40320 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 6720 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 8960 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 102648 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 35280 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 13440 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 8960 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 53844 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 20160 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 10080 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 16584 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 5040 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2283 \, a^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{8}}}{840 \, d}"," ",0,"-1/840*(840*a^3*d*x - 840*a^3*log(e^(2*d*x + 2*c) + 1) + (2283*a^3*e^(16*d*x + 16*c) + 16584*a^3*e^(14*d*x + 14*c) + 5040*a^2*b*e^(14*d*x + 14*c) + 53844*a^3*e^(12*d*x + 12*c) + 20160*a^2*b*e^(12*d*x + 12*c) + 10080*a*b^2*e^(12*d*x + 12*c) + 102648*a^3*e^(10*d*x + 10*c) + 35280*a^2*b*e^(10*d*x + 10*c) + 13440*a*b^2*e^(10*d*x + 10*c) + 8960*b^3*e^(10*d*x + 10*c) + 126210*a^3*e^(8*d*x + 8*c) + 40320*a^2*b*e^(8*d*x + 8*c) + 6720*a*b^2*e^(8*d*x + 8*c) - 8960*b^3*e^(8*d*x + 8*c) + 102648*a^3*e^(6*d*x + 6*c) + 35280*a^2*b*e^(6*d*x + 6*c) + 13440*a*b^2*e^(6*d*x + 6*c) + 8960*b^3*e^(6*d*x + 6*c) + 53844*a^3*e^(4*d*x + 4*c) + 20160*a^2*b*e^(4*d*x + 4*c) + 10080*a*b^2*e^(4*d*x + 4*c) + 16584*a^3*e^(2*d*x + 2*c) + 5040*a^2*b*e^(2*d*x + 2*c) + 2283*a^3)/(e^(2*d*x + 2*c) + 1)^8)/d","B",0
126,1,356,0,0.196965," ","integrate((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^2,x, algorithm=""giac"")","\frac{105 \, a^{3} d x + \frac{2 \, {\left(105 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} - 315 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 630 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} - 1260 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 630 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1575 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 1995 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 1050 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 560 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 2100 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 1680 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 420 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 280 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 1575 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 945 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 252 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 168 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 630 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 420 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 294 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 56 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 105 \, a^{3} - 105 \, a^{2} b - 42 \, a b^{2} - 8 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}}{105 \, d}"," ",0,"1/105*(105*a^3*d*x + 2*(105*a^3*e^(12*d*x + 12*c) - 315*a^2*b*e^(12*d*x + 12*c) + 630*a^3*e^(10*d*x + 10*c) - 1260*a^2*b*e^(10*d*x + 10*c) - 630*a*b^2*e^(10*d*x + 10*c) + 1575*a^3*e^(8*d*x + 8*c) - 1995*a^2*b*e^(8*d*x + 8*c) - 1050*a*b^2*e^(8*d*x + 8*c) - 560*b^3*e^(8*d*x + 8*c) + 2100*a^3*e^(6*d*x + 6*c) - 1680*a^2*b*e^(6*d*x + 6*c) - 420*a*b^2*e^(6*d*x + 6*c) + 280*b^3*e^(6*d*x + 6*c) + 1575*a^3*e^(4*d*x + 4*c) - 945*a^2*b*e^(4*d*x + 4*c) - 252*a*b^2*e^(4*d*x + 4*c) - 168*b^3*e^(4*d*x + 4*c) + 630*a^3*e^(2*d*x + 2*c) - 420*a^2*b*e^(2*d*x + 2*c) - 294*a*b^2*e^(2*d*x + 2*c) - 56*b^3*e^(2*d*x + 2*c) + 105*a^3 - 105*a^2*b - 42*a*b^2 - 8*b^3)/(e^(2*d*x + 2*c) + 1)^7)/d","B",0
127,1,268,0,0.186167," ","integrate((a+b*sech(d*x+c)^2)^3*tanh(d*x+c),x, algorithm=""giac"")","-\frac{60 \, a^{3} d x - 60 \, a^{3} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{147 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 882 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 360 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 2205 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 1440 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 720 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 2940 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 2160 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 1440 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 640 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 2205 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 1440 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 720 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 882 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 360 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 147 \, a^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{6}}}{60 \, d}"," ",0,"-1/60*(60*a^3*d*x - 60*a^3*log(e^(2*d*x + 2*c) + 1) + (147*a^3*e^(12*d*x + 12*c) + 882*a^3*e^(10*d*x + 10*c) + 360*a^2*b*e^(10*d*x + 10*c) + 2205*a^3*e^(8*d*x + 8*c) + 1440*a^2*b*e^(8*d*x + 8*c) + 720*a*b^2*e^(8*d*x + 8*c) + 2940*a^3*e^(6*d*x + 6*c) + 2160*a^2*b*e^(6*d*x + 6*c) + 1440*a*b^2*e^(6*d*x + 6*c) + 640*b^3*e^(6*d*x + 6*c) + 2205*a^3*e^(4*d*x + 4*c) + 1440*a^2*b*e^(4*d*x + 4*c) + 720*a*b^2*e^(4*d*x + 4*c) + 882*a^3*e^(2*d*x + 2*c) + 360*a^2*b*e^(2*d*x + 2*c) + 147*a^3)/(e^(2*d*x + 2*c) + 1)^6)/d","B",0
128,1,182,0,0.153703," ","integrate((a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, {\left(d x + c\right)} a^{3} - \frac{2 \, {\left(45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 180 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 270 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 210 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 180 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 150 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 40 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 45 \, a^{2} b + 30 \, a b^{2} + 8 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*(d*x + c)*a^3 - 2*(45*a^2*b*e^(8*d*x + 8*c) + 180*a^2*b*e^(6*d*x + 6*c) + 90*a*b^2*e^(6*d*x + 6*c) + 270*a^2*b*e^(4*d*x + 4*c) + 210*a*b^2*e^(4*d*x + 4*c) + 80*b^3*e^(4*d*x + 4*c) + 180*a^2*b*e^(2*d*x + 2*c) + 150*a*b^2*e^(2*d*x + 2*c) + 40*b^3*e^(2*d*x + 2*c) + 45*a^2*b + 30*a*b^2 + 8*b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
129,1,325,0,0.183178," ","integrate(coth(d*x+c)*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{12 \, a^{3} d x + 12 \, {\left(3 \, a^{2} b e^{\left(2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) - 12 \, {\left(a^{3} e^{\left(2 \, c\right)} + 3 \, a^{2} b e^{\left(2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) - \frac{75 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 75 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 25 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 300 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 372 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 124 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 450 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 594 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 246 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 300 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 372 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 124 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 75 \, a^{2} b + 75 \, a b^{2} + 25 \, b^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a^3*d*x + 12*(3*a^2*b*e^(2*c) + 3*a*b^2*e^(2*c) + b^3*e^(2*c))*e^(-2*c)*log(e^(2*d*x + 2*c) + 1) - 12*(a^3*e^(2*c) + 3*a^2*b*e^(2*c) + 3*a*b^2*e^(2*c) + b^3*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) - (75*a^2*b*e^(8*d*x + 8*c) + 75*a*b^2*e^(8*d*x + 8*c) + 25*b^3*e^(8*d*x + 8*c) + 300*a^2*b*e^(6*d*x + 6*c) + 372*a*b^2*e^(6*d*x + 6*c) + 124*b^3*e^(6*d*x + 6*c) + 450*a^2*b*e^(4*d*x + 4*c) + 594*a*b^2*e^(4*d*x + 4*c) + 246*b^3*e^(4*d*x + 4*c) + 300*a^2*b*e^(2*d*x + 2*c) + 372*a*b^2*e^(2*d*x + 2*c) + 124*b^3*e^(2*d*x + 2*c) + 75*a^2*b + 75*a*b^2 + 25*b^3)/(e^(2*d*x + 2*c) + 1)^4)/d","B",0
130,1,132,0,0.211202," ","integrate(coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, a^{3} d x - \frac{6 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}}{e^{\left(2 \, d x + 2 \, c\right)} - 1} + \frac{2 \, {\left(9 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 18 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a b^{2} + 5 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a^3*d*x - 6*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)/(e^(2*d*x + 2*c) - 1) + 2*(9*a*b^2*e^(4*d*x + 4*c) + 3*b^3*e^(4*d*x + 4*c) + 18*a*b^2*e^(2*d*x + 2*c) + 12*b^3*e^(2*d*x + 2*c) + 9*a*b^2 + 5*b^3)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
131,1,292,0,0.289256," ","integrate(coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{4 \, a^{3} d x - 4 \, {\left(3 \, a b^{2} e^{\left(2 \, c\right)} + 2 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) - 4 \, {\left(a^{3} e^{\left(2 \, c\right)} - 3 \, a b^{2} e^{\left(2 \, c\right)} - 2 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{3 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 8 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 24 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 24 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 10 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 48 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 24 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 16 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{3}}{{\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}^{2}}}{4 \, d}"," ",0,"-1/4*(4*a^3*d*x - 4*(3*a*b^2*e^(2*c) + 2*b^3*e^(2*c))*e^(-2*c)*log(e^(2*d*x + 2*c) + 1) - 4*(a^3*e^(2*c) - 3*a*b^2*e^(2*c) - 2*b^3*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) + (3*a^3*e^(8*d*x + 8*c) + 8*a^3*e^(6*d*x + 6*c) + 24*a^2*b*e^(6*d*x + 6*c) + 24*a*b^2*e^(6*d*x + 6*c) + 16*b^3*e^(6*d*x + 6*c) + 10*a^3*e^(4*d*x + 4*c) + 48*a^2*b*e^(4*d*x + 4*c) + 48*a*b^2*e^(4*d*x + 4*c) + 8*a^3*e^(2*d*x + 2*c) + 24*a^2*b*e^(2*d*x + 2*c) + 24*a*b^2*e^(2*d*x + 2*c) + 16*b^3*e^(2*d*x + 2*c) + 3*a^3)/(e^(4*d*x + 4*c) - 1)^2)/d","B",0
132,1,155,0,0.342821," ","integrate(coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, a^{3} d x - \frac{6 \, b^{3}}{e^{\left(2 \, d x + 2 \, c\right)} + 1} - \frac{2 \, {\left(6 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 18 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a^{3} + 3 \, a^{2} b - 6 \, a b^{2} - 5 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*a^3*d*x - 6*b^3/(e^(2*d*x + 2*c) + 1) - 2*(6*a^3*e^(4*d*x + 4*c) + 9*a^2*b*e^(4*d*x + 4*c) - 3*b^3*e^(4*d*x + 4*c) - 6*a^3*e^(2*d*x + 2*c) + 18*a*b^2*e^(2*d*x + 2*c) + 12*b^3*e^(2*d*x + 2*c) + 4*a^3 + 3*a^2*b - 6*a*b^2 - 5*b^3)/(e^(2*d*x + 2*c) - 1)^3)/d","B",0
133,1,248,0,0.409644," ","integrate(coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{12 \, a^{3} d x + 12 \, b^{3} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) - 12 \, {\left(a^{3} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{25 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 25 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 52 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 72 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 124 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 102 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 144 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 246 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 52 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 72 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 124 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a^{3} + 25 \, b^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{4}}}{12 \, d}"," ",0,"-1/12*(12*a^3*d*x + 12*b^3*log(e^(2*d*x + 2*c) + 1) - 12*(a^3*e^(2*c) + b^3*e^(2*c))*e^(-2*c)*log(abs(e^(2*d*x + 2*c) - 1)) + (25*a^3*e^(8*d*x + 8*c) + 25*b^3*e^(8*d*x + 8*c) - 52*a^3*e^(6*d*x + 6*c) + 72*a^2*b*e^(6*d*x + 6*c) - 124*b^3*e^(6*d*x + 6*c) + 102*a^3*e^(4*d*x + 4*c) + 144*a*b^2*e^(4*d*x + 4*c) + 246*b^3*e^(4*d*x + 4*c) - 52*a^3*e^(2*d*x + 2*c) + 72*a^2*b*e^(2*d*x + 2*c) - 124*b^3*e^(2*d*x + 2*c) + 25*a^3 + 25*b^3)/(e^(2*d*x + 2*c) - 1)^4)/d","B",0
134,1,210,0,0.427222," ","integrate(coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, a^{3} d x - \frac{2 \, {\left(45 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 90 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 140 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 90 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 30 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 70 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 30 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 40 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 23 \, a^{3} + 9 \, a^{2} b - 6 \, a b^{2} + 8 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*a^3*d*x - 2*(45*a^3*e^(8*d*x + 8*c) + 45*a^2*b*e^(8*d*x + 8*c) - 90*a^3*e^(6*d*x + 6*c) + 90*a*b^2*e^(6*d*x + 6*c) + 140*a^3*e^(4*d*x + 4*c) + 90*a^2*b*e^(4*d*x + 4*c) + 30*a*b^2*e^(4*d*x + 4*c) + 80*b^3*e^(4*d*x + 4*c) - 70*a^3*e^(2*d*x + 2*c) + 30*a*b^2*e^(2*d*x + 2*c) - 40*b^3*e^(2*d*x + 2*c) + 23*a^3 + 9*a^2*b - 6*a*b^2 + 8*b^3)/(e^(2*d*x + 2*c) - 1)^5)/d","B",0
135,1,239,0,0.585600," ","integrate(coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{60 \, a^{3} d x - 60 \, a^{3} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) + \frac{147 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} - 522 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 360 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 1485 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 720 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 1580 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 1200 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 480 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 640 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 1485 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 720 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 522 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 360 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 147 \, a^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{6}}}{60 \, d}"," ",0,"-1/60*(60*a^3*d*x - 60*a^3*log(abs(e^(2*d*x + 2*c) - 1)) + (147*a^3*e^(12*d*x + 12*c) - 522*a^3*e^(10*d*x + 10*c) + 360*a^2*b*e^(10*d*x + 10*c) + 1485*a^3*e^(8*d*x + 8*c) + 720*a*b^2*e^(8*d*x + 8*c) - 1580*a^3*e^(6*d*x + 6*c) + 1200*a^2*b*e^(6*d*x + 6*c) + 480*a*b^2*e^(6*d*x + 6*c) + 640*b^3*e^(6*d*x + 6*c) + 1485*a^3*e^(4*d*x + 4*c) + 720*a*b^2*e^(4*d*x + 4*c) - 522*a^3*e^(2*d*x + 2*c) + 360*a^2*b*e^(2*d*x + 2*c) + 147*a^3)/(e^(2*d*x + 2*c) - 1)^6)/d","B",0
136,1,334,0,0.150888," ","integrate((a+b*sech(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{105 \, {\left(d x + c\right)} a^{4} - \frac{8 \, {\left(105 \, a^{3} b e^{\left(12 \, d x + 12 \, c\right)} + 630 \, a^{3} b e^{\left(10 \, d x + 10 \, c\right)} + 315 \, a^{2} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1575 \, a^{3} b e^{\left(8 \, d x + 8 \, c\right)} + 1365 \, a^{2} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 560 \, a b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 2100 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 2310 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 1400 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 420 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 1575 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 1890 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 1176 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 252 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 630 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 735 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 392 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 84 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 105 \, a^{3} b + 105 \, a^{2} b^{2} + 56 \, a b^{3} + 12 \, b^{4}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}}{105 \, d}"," ",0,"1/105*(105*(d*x + c)*a^4 - 8*(105*a^3*b*e^(12*d*x + 12*c) + 630*a^3*b*e^(10*d*x + 10*c) + 315*a^2*b^2*e^(10*d*x + 10*c) + 1575*a^3*b*e^(8*d*x + 8*c) + 1365*a^2*b^2*e^(8*d*x + 8*c) + 560*a*b^3*e^(8*d*x + 8*c) + 2100*a^3*b*e^(6*d*x + 6*c) + 2310*a^2*b^2*e^(6*d*x + 6*c) + 1400*a*b^3*e^(6*d*x + 6*c) + 420*b^4*e^(6*d*x + 6*c) + 1575*a^3*b*e^(4*d*x + 4*c) + 1890*a^2*b^2*e^(4*d*x + 4*c) + 1176*a*b^3*e^(4*d*x + 4*c) + 252*b^4*e^(4*d*x + 4*c) + 630*a^3*b*e^(2*d*x + 2*c) + 735*a^2*b^2*e^(2*d*x + 2*c) + 392*a*b^3*e^(2*d*x + 2*c) + 84*b^4*e^(2*d*x + 2*c) + 105*a^3*b + 105*a^2*b^2 + 56*a*b^3 + 12*b^4)/(e^(2*d*x + 2*c) + 1)^7)/d","B",0
137,1,537,0,0.166646," ","integrate((a+b*sech(d*x+c)^2)^5,x, algorithm=""giac"")","\frac{315 \, {\left(d x + c\right)} a^{5} - \frac{2 \, {\left(1575 \, a^{4} b e^{\left(16 \, d x + 16 \, c\right)} + 12600 \, a^{4} b e^{\left(14 \, d x + 14 \, c\right)} + 6300 \, a^{3} b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 44100 \, a^{4} b e^{\left(12 \, d x + 12 \, c\right)} + 39900 \, a^{3} b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 16800 \, a^{2} b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 88200 \, a^{4} b e^{\left(10 \, d x + 10 \, c\right)} + 107100 \, a^{3} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 75600 \, a^{2} b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 25200 \, a b^{4} e^{\left(10 \, d x + 10 \, c\right)} + 110250 \, a^{4} b e^{\left(8 \, d x + 8 \, c\right)} + 157500 \, a^{3} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 136080 \, a^{2} b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 65520 \, a b^{4} e^{\left(8 \, d x + 8 \, c\right)} + 16128 \, b^{5} e^{\left(8 \, d x + 8 \, c\right)} + 88200 \, a^{4} b e^{\left(6 \, d x + 6 \, c\right)} + 136500 \, a^{3} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 124320 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 60480 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 10752 \, b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 44100 \, a^{4} b e^{\left(4 \, d x + 4 \, c\right)} + 69300 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 60480 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 25920 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 4608 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 12600 \, a^{4} b e^{\left(2 \, d x + 2 \, c\right)} + 18900 \, a^{3} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 15120 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 6480 \, a b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 1152 \, b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 1575 \, a^{4} b + 2100 \, a^{3} b^{2} + 1680 \, a^{2} b^{3} + 720 \, a b^{4} + 128 \, b^{5}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{9}}}{315 \, d}"," ",0,"1/315*(315*(d*x + c)*a^5 - 2*(1575*a^4*b*e^(16*d*x + 16*c) + 12600*a^4*b*e^(14*d*x + 14*c) + 6300*a^3*b^2*e^(14*d*x + 14*c) + 44100*a^4*b*e^(12*d*x + 12*c) + 39900*a^3*b^2*e^(12*d*x + 12*c) + 16800*a^2*b^3*e^(12*d*x + 12*c) + 88200*a^4*b*e^(10*d*x + 10*c) + 107100*a^3*b^2*e^(10*d*x + 10*c) + 75600*a^2*b^3*e^(10*d*x + 10*c) + 25200*a*b^4*e^(10*d*x + 10*c) + 110250*a^4*b*e^(8*d*x + 8*c) + 157500*a^3*b^2*e^(8*d*x + 8*c) + 136080*a^2*b^3*e^(8*d*x + 8*c) + 65520*a*b^4*e^(8*d*x + 8*c) + 16128*b^5*e^(8*d*x + 8*c) + 88200*a^4*b*e^(6*d*x + 6*c) + 136500*a^3*b^2*e^(6*d*x + 6*c) + 124320*a^2*b^3*e^(6*d*x + 6*c) + 60480*a*b^4*e^(6*d*x + 6*c) + 10752*b^5*e^(6*d*x + 6*c) + 44100*a^4*b*e^(4*d*x + 4*c) + 69300*a^3*b^2*e^(4*d*x + 4*c) + 60480*a^2*b^3*e^(4*d*x + 4*c) + 25920*a*b^4*e^(4*d*x + 4*c) + 4608*b^5*e^(4*d*x + 4*c) + 12600*a^4*b*e^(2*d*x + 2*c) + 18900*a^3*b^2*e^(2*d*x + 2*c) + 15120*a^2*b^3*e^(2*d*x + 2*c) + 6480*a*b^4*e^(2*d*x + 2*c) + 1152*b^5*e^(2*d*x + 2*c) + 1575*a^4*b + 2100*a^3*b^2 + 1680*a^2*b^3 + 720*a*b^4 + 128*b^5)/(e^(2*d*x + 2*c) + 1)^9)/d","B",0
138,-2,0,0,0.000000," ","integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueEvaluation time: 0.46Done","F(-2)",0
139,-2,0,0,0.000000," ","integrate(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueDone","F(-2)",0
140,-2,0,0,0.000000," ","integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueDone","F(-2)",0
141,-2,0,0,0.000000," ","integrate(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueDone","F(-2)",0
142,-2,0,0,0.000000," ","integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueDone","F(-2)",0
143,1,64,0,0.390433," ","integrate(1/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{\sqrt{-a b - b^{2}} a} - \frac{d x + c}{a}}{d}"," ",0,"-(b*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/(sqrt(-a*b - b^2)*a) - (d*x + c)/a)/d","A",0
144,1,97,0,0.334320," ","integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{2 \, d x}{a} - \frac{b \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{2} + a b} - \frac{2 \, e^{\left(2 \, c\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right)}{a e^{\left(2 \, c\right)} + b e^{\left(2 \, c\right)}}}{2 \, d}"," ",0,"-1/2*(2*d*x/a - b*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^2 + a*b) - 2*e^(2*c)*log(abs(e^(2*d*x + 2*c) - 1))/(a*e^(2*c) + b*e^(2*c)))/d","B",0
145,-2,0,0,0.000000," ","integrate(coth(d*x+c)^2/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueDone","F(-2)",0
146,-2,0,0,0.000000," ","integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueEvaluation time: 0.58Done","F(-2)",0
147,-2,0,0,0.000000," ","integrate(coth(d*x+c)^4/(a+b*sech(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueEvaluation time: 0.68Done","F(-2)",0
148,1,208,0,1.375571," ","integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, d x}{a^{2}} - \frac{2 \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{b^{2}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{2} b^{2}} - \frac{a^{2} e^{\left(4 \, d x + 4 \, c\right)} - b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 6 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} - b^{2}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a b^{2}}}{2 \, d}"," ",0,"-1/2*(2*d*x/a^2 - 2*log(e^(2*d*x + 2*c) + 1)/b^2 + (a^2 - b^2)*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^2*b^2) - (a^2*e^(4*d*x + 4*c) - b^2*e^(4*d*x + 4*c) + 2*a^2*e^(2*d*x + 2*c) + 8*a*b*e^(2*d*x + 2*c) + 6*b^2*e^(2*d*x + 2*c) + a^2 - b^2)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a*b^2))/d","B",0
149,1,187,0,1.161617," ","integrate(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{2 \, d x}{a^{2}} + \frac{{\left(a^{2} e^{\left(2 \, c\right)} - a b e^{\left(2 \, c\right)} - 2 \, b^{2} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{\sqrt{-a b - b^{2}} a^{2} b} + \frac{2 \, {\left(a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} + a b\right)}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a^{2} b}}{2 \, d}"," ",0,"1/2*(2*d*x/a^2 + (a^2*e^(2*c) - a*b*e^(2*c) - 2*b^2*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/(sqrt(-a*b - b^2)*a^2*b) + 2*(a^2*e^(2*d*x + 2*c) + 3*a*b*e^(2*d*x + 2*c) + 2*b^2*e^(2*d*x + 2*c) + a^2 + a*b)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a^2*b))/d","B",0
150,1,121,0,0.889209," ","integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, d x}{a^{2}} + \frac{e^{\left(4 \, d x + 4 \, c\right)} - 2 \, e^{\left(2 \, d x + 2 \, c\right)} + 1}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a} - \frac{\log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{2}}}{2 \, d}"," ",0,"-1/2*(2*d*x/a^2 + (e^(4*d*x + 4*c) - 2*e^(2*d*x + 2*c) + 1)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a) - log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/a^2)/d","B",0
151,1,147,0,0.718481," ","integrate(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(a e^{\left(2 \, c\right)} + 2 \, b e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{\sqrt{-a b - b^{2}} a^{2}} - \frac{2 \, d x}{a^{2}} - \frac{2 \, {\left(a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a^{2}}}{2 \, d}"," ",0,"-1/2*((a*e^(2*c) + 2*b*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/(sqrt(-a*b - b^2)*a^2) - 2*d*x/a^2 - 2*(a*e^(2*d*x + 2*c) + 2*b*e^(2*d*x + 2*c) + a)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a^2))/d","A",0
152,1,121,0,0.422924," ","integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, d x}{a^{2}} + \frac{e^{\left(4 \, d x + 4 \, c\right)} + 2 \, e^{\left(2 \, d x + 2 \, c\right)} + 1}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)} a} - \frac{\log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{2}}}{2 \, d}"," ",0,"-1/2*(2*d*x/a^2 + (e^(4*d*x + 4*c) + 2*e^(2*d*x + 2*c) + 1)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)*a) - log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/a^2)/d","B",0
153,1,163,0,0.435260," ","integrate(1/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, a b + 2 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{3} + a^{2} b\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a b\right)}}{{\left(a^{3} + a^{2} b\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}} - \frac{2 \, {\left(d x + c\right)}}{a^{2}}}{2 \, d}"," ",0,"-1/2*((3*a*b + 2*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^3 + a^2*b)*sqrt(-a*b - b^2)) - 2*(a*b*e^(2*d*x + 2*c) + 2*b^2*e^(2*d*x + 2*c) + a*b)/((a^3 + a^2*b)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)) - 2*(d*x + c)/a^2)/d","A",0
154,1,246,0,0.555662," ","integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, a b + b^{2}\right)} \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{4} + 2 \, a^{3} b + a^{2} b^{2}} + \frac{2 \, e^{\left(2 \, c\right)} \log\left({\left| -e^{\left(2 \, d x + 2 \, c\right)} + 1 \right|}\right)}{a^{2} e^{\left(2 \, c\right)} + 2 \, a b e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}} - \frac{2 \, d x}{a^{2}} - \frac{2 \, a b e^{\left(4 \, d x + 4 \, c\right)} + b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 6 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b + b^{2}}{{\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}}}{2 \, d}"," ",0,"1/2*((2*a*b + b^2)*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^4 + 2*a^3*b + a^2*b^2) + 2*e^(2*c)*log(abs(-e^(2*d*x + 2*c) + 1))/(a^2*e^(2*c) + 2*a*b*e^(2*c) + b^2*e^(2*c)) - 2*d*x/a^2 - (2*a*b*e^(4*d*x + 4*c) + b^2*e^(4*d*x + 4*c) + 4*a*b*e^(2*d*x + 2*c) + 6*b^2*e^(2*d*x + 2*c) + 2*a*b + b^2)/((a^3 + 2*a^2*b + a*b^2)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)))/d","B",0
155,1,282,0,0.955498," ","integrate(coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, a b^{2} e^{\left(2 \, c\right)} + 2 \, b^{3} e^{\left(2 \, c\right)}\right)} \arctan\left(-\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{-a b - b^{2}}} + \frac{2 \, d x}{a^{2}} - \frac{2 \, {\left(2 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} + a b^{2}\right)}}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(a e^{\left(6 \, d x + 6 \, c\right)} + a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} - a e^{\left(2 \, d x + 2 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} - a\right)}}}{2 \, d}"," ",0,"1/2*((5*a*b^2*e^(2*c) + 2*b^3*e^(2*c))*arctan(-1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/((a^4 + 2*a^3*b + a^2*b^2)*sqrt(-a*b - b^2)) + 2*d*x/a^2 - 2*(2*a^3*e^(4*d*x + 4*c) - a*b^2*e^(4*d*x + 4*c) - 2*b^3*e^(4*d*x + 4*c) + 4*a^3*e^(2*d*x + 2*c) + 8*a^2*b*e^(2*d*x + 2*c) + 2*b^3*e^(2*d*x + 2*c) + 2*a^3 + a*b^2)/((a^4 + 2*a^3*b + a^2*b^2)*(a*e^(6*d*x + 6*c) + a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) - a*e^(2*d*x + 2*c) - 4*b*e^(2*d*x + 2*c) - a)))/d","B",0
156,1,383,0,1.318456," ","integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(3 \, a b^{2} + b^{3}\right)} \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}} + \frac{2 \, {\left(a e^{\left(2 \, c\right)} + 3 \, b e^{\left(2 \, c\right)}\right)} \log\left({\left| -e^{\left(2 \, d x + 2 \, c\right)} + 1 \right|}\right)}{a^{3} e^{\left(2 \, c\right)} + 3 \, a^{2} b e^{\left(2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}} - \frac{2 \, d x}{a^{2}} - \frac{3 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b^{2} + b^{3}}{{\left(a^{4} + 3 \, a^{3} b + 3 \, a^{2} b^{2} + a b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}} - \frac{3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} - 14 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a + 9 \, b}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*((3*a*b^2 + b^3)*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3) + 2*(a*e^(2*c) + 3*b*e^(2*c))*log(abs(-e^(2*d*x + 2*c) + 1))/(a^3*e^(2*c) + 3*a^2*b*e^(2*c) + 3*a*b^2*e^(2*c) + b^3*e^(2*c)) - 2*d*x/a^2 - (3*a*b^2*e^(4*d*x + 4*c) + b^3*e^(4*d*x + 4*c) + 6*a*b^2*e^(2*d*x + 2*c) + 10*b^3*e^(2*d*x + 2*c) + 3*a*b^2 + b^3)/((a^4 + 3*a^3*b + 3*a^2*b^2 + a*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)) - (3*a*e^(4*d*x + 4*c) + 9*b*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) - 14*b*e^(2*d*x + 2*c) + 3*a + 9*b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*d*x + 2*c) - 1)^2))/d","B",0
157,1,302,0,1.604423," ","integrate(coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(7 \, a b^{3} e^{\left(2 \, c\right)} + 2 \, b^{4} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} \sqrt{-a b - b^{2}}} - \frac{6 \, d x}{a^{2}} - \frac{6 \, {\left(a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + a b^{3}\right)}}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}} + \frac{8 \, {\left(3 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, a e^{\left(2 \, d x + 2 \, c\right)} - 9 \, b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a + 5 \, b\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(3*(7*a*b^3*e^(2*c) + 2*b^4*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*sqrt(-a*b - b^2)) - 6*d*x/a^2 - 6*(a*b^3*e^(2*d*x + 2*c) + 2*b^4*e^(2*d*x + 2*c) + a*b^3)/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)) + 8*(3*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 3*a*e^(2*d*x + 2*c) - 9*b*e^(2*d*x + 2*c) + 2*a + 5*b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*d*x + 2*c) - 1)^3))/d","B",0
158,1,371,0,2.250659," ","integrate(tanh(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{8 \, d x}{a^{3}} - \frac{{\left(3 \, a^{3} e^{\left(2 \, c\right)} - a^{2} b e^{\left(2 \, c\right)} + 4 \, a b^{2} e^{\left(2 \, c\right)} + 8 \, b^{3} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{\sqrt{-a b - b^{2}} a^{3} b^{2}} - \frac{2 \, {\left(3 \, a^{4} e^{\left(6 \, d x + 6 \, c\right)} - a^{3} b e^{\left(6 \, d x + 6 \, c\right)} - 20 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 9 \, a^{4} e^{\left(4 \, d x + 4 \, c\right)} + 15 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} - 18 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 72 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 48 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, a^{4} e^{\left(2 \, d x + 2 \, c\right)} + 13 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} - 28 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 32 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{4} - 3 \, a^{3} b - 6 \, a^{2} b^{2}\right)}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2} a^{3} b^{2}}}{8 \, d}"," ",0,"1/8*(8*d*x/a^3 - (3*a^3*e^(2*c) - a^2*b*e^(2*c) + 4*a*b^2*e^(2*c) + 8*b^3*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/(sqrt(-a*b - b^2)*a^3*b^2) - 2*(3*a^4*e^(6*d*x + 6*c) - a^3*b*e^(6*d*x + 6*c) - 20*a^2*b^2*e^(6*d*x + 6*c) - 16*a*b^3*e^(6*d*x + 6*c) + 9*a^4*e^(4*d*x + 4*c) + 15*a^3*b*e^(4*d*x + 4*c) - 18*a^2*b^2*e^(4*d*x + 4*c) - 72*a*b^3*e^(4*d*x + 4*c) - 48*b^4*e^(4*d*x + 4*c) + 9*a^4*e^(2*d*x + 2*c) + 13*a^3*b*e^(2*d*x + 2*c) - 28*a^2*b^2*e^(2*d*x + 2*c) - 32*a*b^3*e^(2*d*x + 2*c) + 3*a^4 - 3*a^3*b - 6*a^2*b^2)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2*a^3*b^2))/d","B",0
159,1,187,0,1.883147," ","integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, d x}{a^{3}} - \frac{2 \, \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{3}} + \frac{3 \, a e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a e^{\left(6 \, d x + 6 \, c\right)} + 8 \, b e^{\left(6 \, d x + 6 \, c\right)} + 2 \, a e^{\left(4 \, d x + 4 \, c\right)} - 16 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2} a^{2}}}{4 \, d}"," ",0,"-1/4*(4*d*x/a^3 - 2*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/a^3 + (3*a*e^(8*d*x + 8*c) - 4*a*e^(6*d*x + 6*c) + 8*b*e^(6*d*x + 6*c) + 2*a*e^(4*d*x + 4*c) - 16*b*e^(4*d*x + 4*c) - 4*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) + 3*a)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2*a^2))/d","B",0
160,1,295,0,1.614311," ","integrate(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{8 \, d x}{a^{3}} + \frac{{\left(a^{2} e^{\left(2 \, c\right)} - 4 \, a b e^{\left(2 \, c\right)} - 8 \, b^{2} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{\sqrt{-a b - b^{2}} a^{3} b} + \frac{2 \, {\left(a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 12 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 26 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 56 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 20 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{3} + 6 \, a^{2} b\right)}}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2} a^{3} b}}{8 \, d}"," ",0,"1/8*(8*d*x/a^3 + (a^2*e^(2*c) - 4*a*b*e^(2*c) - 8*b^2*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/(sqrt(-a*b - b^2)*a^3*b) + 2*(a^3*e^(6*d*x + 6*c) + 12*a^2*b*e^(6*d*x + 6*c) + 16*a*b^2*e^(6*d*x + 6*c) + 3*a^3*e^(4*d*x + 4*c) + 26*a^2*b*e^(4*d*x + 4*c) + 56*a*b^2*e^(4*d*x + 4*c) + 48*b^3*e^(4*d*x + 4*c) + 3*a^3*e^(2*d*x + 2*c) + 20*a^2*b*e^(2*d*x + 2*c) + 32*a*b^2*e^(2*d*x + 2*c) + a^3 + 6*a^2*b)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2*a^3*b))/d","B",0
161,1,175,0,1.221478," ","integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, d x}{a^{3}} - \frac{2 \, \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{3}} + \frac{3 \, a e^{\left(8 \, d x + 8 \, c\right)} + 4 \, a e^{\left(6 \, d x + 6 \, c\right)} + 8 \, b e^{\left(6 \, d x + 6 \, c\right)} + 2 \, a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2} a^{2}}}{4 \, d}"," ",0,"-1/4*(4*d*x/a^3 - 2*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/a^3 + (3*a*e^(8*d*x + 8*c) + 4*a*e^(6*d*x + 6*c) + 8*b*e^(6*d*x + 6*c) + 2*a*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) + 3*a)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2*a^2))/d","B",0
162,1,309,0,0.966179," ","integrate(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, a^{2} e^{\left(2 \, c\right)} + 12 \, a b e^{\left(2 \, c\right)} + 8 \, b^{2} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{{\left(a^{4} + a^{3} b\right)} \sqrt{-a b - b^{2}}} - \frac{8 \, d x}{a^{3}} - \frac{2 \, {\left(5 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 20 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 15 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 58 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 88 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 15 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 44 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 5 \, a^{3} + 6 \, a^{2} b\right)}}{{\left(a^{4} + a^{3} b\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}}}{8 \, d}"," ",0,"-1/8*((3*a^2*e^(2*c) + 12*a*b*e^(2*c) + 8*b^2*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/((a^4 + a^3*b)*sqrt(-a*b - b^2)) - 8*d*x/a^3 - 2*(5*a^3*e^(6*d*x + 6*c) + 20*a^2*b*e^(6*d*x + 6*c) + 16*a*b^2*e^(6*d*x + 6*c) + 15*a^3*e^(4*d*x + 4*c) + 58*a^2*b*e^(4*d*x + 4*c) + 88*a*b^2*e^(4*d*x + 4*c) + 48*b^3*e^(4*d*x + 4*c) + 15*a^3*e^(2*d*x + 2*c) + 44*a^2*b*e^(2*d*x + 2*c) + 32*a*b^2*e^(2*d*x + 2*c) + 5*a^3 + 6*a^2*b)/((a^4 + a^3*b)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2))/d","B",0
163,1,187,0,0.525998," ","integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, d x}{a^{3}} - \frac{2 \, \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{3}} + \frac{3 \, a e^{\left(8 \, d x + 8 \, c\right)} + 12 \, a e^{\left(6 \, d x + 6 \, c\right)} + 8 \, b e^{\left(6 \, d x + 6 \, c\right)} + 18 \, a e^{\left(4 \, d x + 4 \, c\right)} + 16 \, b e^{\left(4 \, d x + 4 \, c\right)} + 12 \, a e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a}{{\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2} a^{2}}}{4 \, d}"," ",0,"-1/4*(4*d*x/a^3 - 2*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/a^3 + (3*a*e^(8*d*x + 8*c) + 12*a*e^(6*d*x + 6*c) + 8*b*e^(6*d*x + 6*c) + 18*a*e^(4*d*x + 4*c) + 16*b*e^(4*d*x + 4*c) + 12*a*e^(2*d*x + 2*c) + 8*b*e^(2*d*x + 2*c) + 3*a)/((a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2*a^2))/d","B",0
164,1,327,0,0.856390," ","integrate(1/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b + 20 \, a b^{2} + 8 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(9 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 28 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 27 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 90 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 120 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 68 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{3} b + 6 \, a^{2} b^{2}\right)}}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} - \frac{8 \, {\left(d x + c\right)}}{a^{3}}}{8 \, d}"," ",0,"-1/8*((15*a^2*b + 20*a*b^2 + 8*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^5 + 2*a^4*b + a^3*b^2)*sqrt(-a*b - b^2)) - 2*(9*a^3*b*e^(6*d*x + 6*c) + 28*a^2*b^2*e^(6*d*x + 6*c) + 16*a*b^3*e^(6*d*x + 6*c) + 27*a^3*b*e^(4*d*x + 4*c) + 90*a^2*b^2*e^(4*d*x + 4*c) + 120*a*b^3*e^(4*d*x + 4*c) + 48*b^4*e^(4*d*x + 4*c) + 27*a^3*b*e^(2*d*x + 2*c) + 68*a^2*b^2*e^(2*d*x + 2*c) + 32*a*b^3*e^(2*d*x + 2*c) + 9*a^3*b + 6*a^2*b^2)/((a^5 + 2*a^4*b + a^3*b^2)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) - 8*(d*x + c)/a^3)/d","B",0
165,1,475,0,0.715506," ","integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}} + \frac{4 \, e^{\left(2 \, c\right)} \log\left({\left| -e^{\left(2 \, d x + 2 \, c\right)} + 1 \right|}\right)}{a^{3} e^{\left(2 \, c\right)} + 3 \, a^{2} b e^{\left(2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}} - \frac{4 \, d x}{a^{3}} - \frac{9 \, a^{3} b e^{\left(8 \, d x + 8 \, c\right)} + 9 \, a^{2} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 3 \, a b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 36 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 84 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 44 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 8 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 54 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 150 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 146 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 32 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 36 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 84 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 44 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{3} b + 9 \, a^{2} b^{2} + 3 \, a b^{3}}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}}}{4 \, d}"," ",0,"1/4*(2*(3*a^2*b + 3*a*b^2 + b^3)*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3) + 4*e^(2*c)*log(abs(-e^(2*d*x + 2*c) + 1))/(a^3*e^(2*c) + 3*a^2*b*e^(2*c) + 3*a*b^2*e^(2*c) + b^3*e^(2*c)) - 4*d*x/a^3 - (9*a^3*b*e^(8*d*x + 8*c) + 9*a^2*b^2*e^(8*d*x + 8*c) + 3*a*b^3*e^(8*d*x + 8*c) + 36*a^3*b*e^(6*d*x + 6*c) + 84*a^2*b^2*e^(6*d*x + 6*c) + 44*a*b^3*e^(6*d*x + 6*c) + 8*b^4*e^(6*d*x + 6*c) + 54*a^3*b*e^(4*d*x + 4*c) + 150*a^2*b^2*e^(4*d*x + 4*c) + 146*a*b^3*e^(4*d*x + 4*c) + 32*b^4*e^(4*d*x + 4*c) + 36*a^3*b*e^(2*d*x + 2*c) + 84*a^2*b^2*e^(2*d*x + 2*c) + 44*a*b^3*e^(2*d*x + 2*c) + 8*b^4*e^(2*d*x + 2*c) + 9*a^3*b + 9*a^2*b^2 + 3*a*b^3)/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2))/d","B",0
166,1,402,0,1.272269," ","integrate(coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(35 \, a^{2} b^{2} e^{\left(2 \, c\right)} + 28 \, a b^{3} e^{\left(2 \, c\right)} + 8 \, b^{4} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{{\left(a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}\right)} \sqrt{-a b - b^{2}}} - \frac{8 \, d x}{a^{3}} - \frac{2 \, {\left(13 \, a^{3} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 36 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 39 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 122 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 152 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 39 \, a^{3} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 92 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 13 \, a^{3} b^{2} + 6 \, a^{2} b^{3}\right)}}{{\left(a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} + \frac{16}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{8 \, d}"," ",0,"-1/8*((35*a^2*b^2*e^(2*c) + 28*a*b^3*e^(2*c) + 8*b^4*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/((a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3)*sqrt(-a*b - b^2)) - 8*d*x/a^3 - 2*(13*a^3*b^2*e^(6*d*x + 6*c) + 36*a^2*b^3*e^(6*d*x + 6*c) + 16*a*b^4*e^(6*d*x + 6*c) + 39*a^3*b^2*e^(4*d*x + 4*c) + 122*a^2*b^3*e^(4*d*x + 4*c) + 152*a*b^4*e^(4*d*x + 4*c) + 48*b^5*e^(4*d*x + 4*c) + 39*a^3*b^2*e^(2*d*x + 2*c) + 92*a^2*b^3*e^(2*d*x + 2*c) + 32*a*b^4*e^(2*d*x + 2*c) + 13*a^3*b^2 + 6*a^2*b^3)/((a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) + 16/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*d*x + 2*c) - 1)))/d","B",0
167,1,766,0,2.474663," ","integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \log\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}{a^{7} + 4 \, a^{6} b + 6 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + a^{3} b^{4}} + \frac{2 \, {\left(a e^{\left(2 \, c\right)} + 4 \, b e^{\left(2 \, c\right)}\right)} \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right)}{a^{4} e^{\left(2 \, c\right)} + 4 \, a^{3} b e^{\left(2 \, c\right)} + 6 \, a^{2} b^{2} e^{\left(2 \, c\right)} + 4 \, a b^{3} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}} - \frac{2 \, d x}{a^{3}} - \frac{a^{5} e^{\left(12 \, d x + 12 \, c\right)} + 3 \, a^{4} b e^{\left(12 \, d x + 12 \, c\right)} + 3 \, a^{3} b^{2} e^{\left(12 \, d x + 12 \, c\right)} + a^{2} b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 6 \, a^{5} e^{\left(10 \, d x + 10 \, c\right)} + 14 \, a^{4} b e^{\left(10 \, d x + 10 \, c\right)} + 30 \, a^{3} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 10 \, a^{2} b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 15 \, a^{5} e^{\left(8 \, d x + 8 \, c\right)} + 29 \, a^{4} b e^{\left(8 \, d x + 8 \, c\right)} + 13 \, a^{3} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 47 \, a^{2} b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 8 \, a b^{4} e^{\left(8 \, d x + 8 \, c\right)} - 8 \, b^{5} e^{\left(8 \, d x + 8 \, c\right)} + 20 \, a^{5} e^{\left(6 \, d x + 6 \, c\right)} + 36 \, a^{4} b e^{\left(6 \, d x + 6 \, c\right)} - 28 \, a^{3} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 116 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 15 \, a^{5} e^{\left(4 \, d x + 4 \, c\right)} + 29 \, a^{4} b e^{\left(4 \, d x + 4 \, c\right)} + 13 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 47 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a^{5} e^{\left(2 \, d x + 2 \, c\right)} + 14 \, a^{4} b e^{\left(2 \, d x + 2 \, c\right)} + 30 \, a^{3} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}}{{\left(a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}\right)} {\left(a e^{\left(6 \, d x + 6 \, c\right)} + a e^{\left(4 \, d x + 4 \, c\right)} + 4 \, b e^{\left(4 \, d x + 4 \, c\right)} - a e^{\left(2 \, d x + 2 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} - a\right)}^{2}}}{2 \, d}"," ",0,"1/2*((6*a^2*b^2 + 4*a*b^3 + b^4)*log(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)/(a^7 + 4*a^6*b + 6*a^5*b^2 + 4*a^4*b^3 + a^3*b^4) + 2*(a*e^(2*c) + 4*b*e^(2*c))*log(abs(e^(2*d*x + 2*c) - 1))/(a^4*e^(2*c) + 4*a^3*b*e^(2*c) + 6*a^2*b^2*e^(2*c) + 4*a*b^3*e^(2*c) + b^4*e^(2*c)) - 2*d*x/a^3 - (a^5*e^(12*d*x + 12*c) + 3*a^4*b*e^(12*d*x + 12*c) + 3*a^3*b^2*e^(12*d*x + 12*c) + a^2*b^3*e^(12*d*x + 12*c) + 6*a^5*e^(10*d*x + 10*c) + 14*a^4*b*e^(10*d*x + 10*c) + 30*a^3*b^2*e^(10*d*x + 10*c) + 10*a^2*b^3*e^(10*d*x + 10*c) + 15*a^5*e^(8*d*x + 8*c) + 29*a^4*b*e^(8*d*x + 8*c) + 13*a^3*b^2*e^(8*d*x + 8*c) + 47*a^2*b^3*e^(8*d*x + 8*c) - 8*a*b^4*e^(8*d*x + 8*c) - 8*b^5*e^(8*d*x + 8*c) + 20*a^5*e^(6*d*x + 6*c) + 36*a^4*b*e^(6*d*x + 6*c) - 28*a^3*b^2*e^(6*d*x + 6*c) - 116*a^2*b^3*e^(6*d*x + 6*c) + 16*a*b^4*e^(6*d*x + 6*c) + 16*b^5*e^(6*d*x + 6*c) + 15*a^5*e^(4*d*x + 4*c) + 29*a^4*b*e^(4*d*x + 4*c) + 13*a^3*b^2*e^(4*d*x + 4*c) + 47*a^2*b^3*e^(4*d*x + 4*c) - 8*a*b^4*e^(4*d*x + 4*c) - 8*b^5*e^(4*d*x + 4*c) + 6*a^5*e^(2*d*x + 2*c) + 14*a^4*b*e^(2*d*x + 2*c) + 30*a^3*b^2*e^(2*d*x + 2*c) + 10*a^2*b^3*e^(2*d*x + 2*c) + a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)/((a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3)*(a*e^(6*d*x + 6*c) + a*e^(4*d*x + 4*c) + 4*b*e^(4*d*x + 4*c) - a*e^(2*d*x + 2*c) - 4*b*e^(2*d*x + 2*c) - a)^2))/d","B",0
168,1,482,0,2.586888," ","integrate(coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(63 \, a^{2} b^{3} e^{\left(2 \, c\right)} + 36 \, a b^{4} e^{\left(2 \, c\right)} + 8 \, b^{5} e^{\left(2 \, c\right)}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right) e^{\left(-2 \, c\right)}}{{\left(a^{7} + 4 \, a^{6} b + 6 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + a^{3} b^{4}\right)} \sqrt{-a b - b^{2}}} - \frac{24 \, d x}{a^{3}} - \frac{6 \, {\left(17 \, a^{3} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 44 \, a^{2} b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 51 \, a^{3} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 154 \, a^{2} b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 184 \, a b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{6} e^{\left(4 \, d x + 4 \, c\right)} + 51 \, a^{3} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 116 \, a^{2} b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 17 \, a^{3} b^{3} + 6 \, a^{2} b^{4}\right)}}{{\left(a^{7} + 4 \, a^{6} b + 6 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + a^{3} b^{4}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} + \frac{16 \, {\left(6 \, a e^{\left(4 \, d x + 4 \, c\right)} + 15 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 24 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + 13 \, b\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{24 \, d}"," ",0,"-1/24*(3*(63*a^2*b^3*e^(2*c) + 36*a*b^4*e^(2*c) + 8*b^5*e^(2*c))*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))*e^(-2*c)/((a^7 + 4*a^6*b + 6*a^5*b^2 + 4*a^4*b^3 + a^3*b^4)*sqrt(-a*b - b^2)) - 24*d*x/a^3 - 6*(17*a^3*b^3*e^(6*d*x + 6*c) + 44*a^2*b^4*e^(6*d*x + 6*c) + 16*a*b^5*e^(6*d*x + 6*c) + 51*a^3*b^3*e^(4*d*x + 4*c) + 154*a^2*b^4*e^(4*d*x + 4*c) + 184*a*b^5*e^(4*d*x + 4*c) + 48*b^6*e^(4*d*x + 4*c) + 51*a^3*b^3*e^(2*d*x + 2*c) + 116*a^2*b^4*e^(2*d*x + 2*c) + 32*a*b^5*e^(2*d*x + 2*c) + 17*a^3*b^3 + 6*a^2*b^4)/((a^7 + 4*a^6*b + 6*a^5*b^2 + 4*a^4*b^3 + a^3*b^4)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) + 16*(6*a*e^(4*d*x + 4*c) + 15*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) - 24*b*e^(2*d*x + 2*c) + 4*a + 13*b)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*(e^(2*d*x + 2*c) - 1)^3))/d","B",0
169,1,594,0,0.852596," ","integrate(1/(a+b*sech(d*x+c)^2)^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(35 \, a^{3} b + 70 \, a^{2} b^{2} + 56 \, a b^{3} + 16 \, b^{4}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} + a + 2 \, b}{2 \, \sqrt{-a b - b^{2}}}\right)}{{\left(a^{7} + 3 \, a^{6} b + 3 \, a^{5} b^{2} + a^{4} b^{3}\right)} \sqrt{-a b - b^{2}}} - \frac{2 \, {\left(87 \, a^{5} b e^{\left(10 \, d x + 10 \, c\right)} + 366 \, a^{4} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 408 \, a^{3} b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 144 \, a^{2} b^{4} e^{\left(10 \, d x + 10 \, c\right)} + 435 \, a^{5} b e^{\left(8 \, d x + 8 \, c\right)} + 2124 \, a^{4} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 3972 \, a^{3} b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 3072 \, a^{2} b^{4} e^{\left(8 \, d x + 8 \, c\right)} + 864 \, a b^{5} e^{\left(8 \, d x + 8 \, c\right)} + 870 \, a^{5} b e^{\left(6 \, d x + 6 \, c\right)} + 4292 \, a^{4} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 8792 \, a^{3} b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 9936 \, a^{2} b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 5824 \, a b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 1408 \, b^{6} e^{\left(6 \, d x + 6 \, c\right)} + 870 \, a^{5} b e^{\left(4 \, d x + 4 \, c\right)} + 3792 \, a^{4} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 6432 \, a^{3} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 4608 \, a^{2} b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 1248 \, a b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 435 \, a^{5} b e^{\left(2 \, d x + 2 \, c\right)} + 1374 \, a^{4} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 1248 \, a^{3} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 384 \, a^{2} b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 87 \, a^{5} b + 116 \, a^{4} b^{2} + 44 \, a^{3} b^{3}\right)}}{{\left(a^{7} + 3 \, a^{6} b + 3 \, a^{5} b^{2} + a^{4} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{3}} - \frac{48 \, {\left(d x + c\right)}}{a^{4}}}{48 \, d}"," ",0,"-1/48*(3*(35*a^3*b + 70*a^2*b^2 + 56*a*b^3 + 16*b^4)*arctan(1/2*(a*e^(2*d*x + 2*c) + a + 2*b)/sqrt(-a*b - b^2))/((a^7 + 3*a^6*b + 3*a^5*b^2 + a^4*b^3)*sqrt(-a*b - b^2)) - 2*(87*a^5*b*e^(10*d*x + 10*c) + 366*a^4*b^2*e^(10*d*x + 10*c) + 408*a^3*b^3*e^(10*d*x + 10*c) + 144*a^2*b^4*e^(10*d*x + 10*c) + 435*a^5*b*e^(8*d*x + 8*c) + 2124*a^4*b^2*e^(8*d*x + 8*c) + 3972*a^3*b^3*e^(8*d*x + 8*c) + 3072*a^2*b^4*e^(8*d*x + 8*c) + 864*a*b^5*e^(8*d*x + 8*c) + 870*a^5*b*e^(6*d*x + 6*c) + 4292*a^4*b^2*e^(6*d*x + 6*c) + 8792*a^3*b^3*e^(6*d*x + 6*c) + 9936*a^2*b^4*e^(6*d*x + 6*c) + 5824*a*b^5*e^(6*d*x + 6*c) + 1408*b^6*e^(6*d*x + 6*c) + 870*a^5*b*e^(4*d*x + 4*c) + 3792*a^4*b^2*e^(4*d*x + 4*c) + 6432*a^3*b^3*e^(4*d*x + 4*c) + 4608*a^2*b^4*e^(4*d*x + 4*c) + 1248*a*b^5*e^(4*d*x + 4*c) + 435*a^5*b*e^(2*d*x + 2*c) + 1374*a^4*b^2*e^(2*d*x + 2*c) + 1248*a^3*b^3*e^(2*d*x + 2*c) + 384*a^2*b^4*e^(2*d*x + 2*c) + 87*a^5*b + 116*a^4*b^2 + 44*a^3*b^3)/((a^7 + 3*a^6*b + 3*a^5*b^2 + a^4*b^3)*(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^3) - 48*(d*x + c)/a^4)/d","B",0
170,1,72,0,0.125525," ","integrate((1-sech(x)^2)^(3/2),x, algorithm=""giac"")","-x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \frac{3 \, e^{\left(4 \, x\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 2 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 3 \, \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}{2 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-x*sgn(e^(4*x) - 1) + log(e^(2*x) + 1)*sgn(e^(4*x) - 1) - 1/2*(3*e^(4*x)*sgn(e^(4*x) - 1) + 2*e^(2*x)*sgn(e^(4*x) - 1) + 3*sgn(e^(4*x) - 1))/(e^(2*x) + 1)^2","B",0
171,1,26,0,0.116987," ","integrate((1-sech(x)^2)^(1/2),x, algorithm=""giac"")","-x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)"," ",0,"-x*sgn(e^(4*x) - 1) + log(e^(2*x) + 1)*sgn(e^(4*x) - 1)","B",0
172,1,31,0,0.134459," ","integrate(1/(1-sech(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{x}{\mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)} + \frac{\log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{\mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}"," ",0,"-x/sgn(e^(4*x) - 1) + log(abs(e^(2*x) - 1))/sgn(e^(4*x) - 1)","B",0
173,1,83,0,0.142353," ","integrate((-1+sech(x)^2)^(3/2),x, algorithm=""giac"")","-i \, x \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) + i \, \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) - \frac{i \, {\left(3 \, e^{\left(4 \, x\right)} \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) + 2 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) + 3 \, \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)\right)}}{2 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-I*x*sgn(-e^(4*x) + 1) + I*log(e^(2*x) + 1)*sgn(-e^(4*x) + 1) - 1/2*I*(3*e^(4*x)*sgn(-e^(4*x) + 1) + 2*e^(2*x)*sgn(-e^(4*x) + 1) + 3*sgn(-e^(4*x) + 1))/(e^(2*x) + 1)^2","C",0
174,1,31,0,0.125499," ","integrate((-1+sech(x)^2)^(1/2),x, algorithm=""giac"")","i \, x \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) - i \, \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)"," ",0,"I*x*sgn(-e^(4*x) + 1) - I*log(e^(2*x) + 1)*sgn(-e^(4*x) + 1)","C",0
175,1,37,0,0.141088," ","integrate(1/(-1+sech(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{i \, x}{\mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)} + \frac{i \, \log\left(-i \, e^{\left(2 \, x\right)} + i\right)}{\mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)}"," ",0,"-I*x/sgn(-e^(4*x) + 1) + I*log(-I*e^(2*x) + I)/sgn(-e^(4*x) + 1)","C",0
176,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^5,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.47Error: Bad Argument Type","F(-2)",0
177,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
178,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
179,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
180,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2)*tanh(x),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
181,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-39]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[35]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[90]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-98]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-5]Evaluation time: 0.57index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
182,-2,0,0,0.000000," ","integrate(coth(x)*(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-59]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-92]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[84]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[89]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-4]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[16]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-86]Precision problem choosing root in common_EXT, current precision 14Evaluation time: 0.62index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
183,-2,0,0,0.000000," ","integrate(coth(x)^2*(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
184,-2,0,0,0.000000," ","integrate(coth(x)^3*(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
185,-2,0,0,0.000000," ","integrate(coth(x)^4*(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
186,-2,0,0,0.000000," ","integrate(coth(x)^5*(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
187,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(3/2)*tanh(x)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.77Error: Bad Argument Type","F(-2)",0
188,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(3/2)*tanh(x)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.46Error: Bad Argument Type","F(-2)",0
189,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(3/2)*tanh(x),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
190,-2,0,0,0.000000," ","integrate((a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
191,1,134,0,0.472571," ","integrate(coth(x)*(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{4 \, {\left({\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} b^{2} - \sqrt{a} b^{2}\right)}}{{\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)}^{2} + 2 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} \sqrt{a} + a + 4 \, b}"," ",0,"-4*((sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*b^2 - sqrt(a)*b^2)/((sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))^2 + 2*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*sqrt(a) + a + 4*b)","B",0
192,1,222,0,0.523289," ","integrate(coth(x)^2*(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\frac{4 \, {\left({\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} a^{2} + 2 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} a b + {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} b^{2} + a^{\frac{5}{2}} + 2 \, a^{\frac{3}{2}} b + \sqrt{a} b^{2}\right)}}{{\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)}^{2} - 2 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + 4 \, b e^{\left(2 \, x\right)} + a}\right)} \sqrt{a} - 3 \, a - 4 \, b}"," ",0,"4*((sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*a^2 + 2*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*a*b + (sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*b^2 + a^(5/2) + 2*a^(3/2)*b + sqrt(a)*b^2)/((sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))^2 - 2*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) + 2*a*e^(2*x) + 4*b*e^(2*x) + a))*sqrt(a) - 3*a - 4*b)","B",0
193,-2,0,0,0.000000," ","integrate((a+b*sech(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.13Error: Bad Argument Type","F(-2)",0
194,-2,0,0,0.000000," ","integrate(tanh(x)^5/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
195,-2,0,0,0.000000," ","integrate(tanh(x)^4/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
196,-2,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
197,-2,0,0,0.000000," ","integrate(tanh(x)^2/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
198,-2,0,0,0.000000," ","integrate(tanh(x)/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
199,-2,0,0,0.000000," ","integrate(1/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
200,-2,0,0,0.000000," ","integrate(coth(x)/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
201,-2,0,0,0.000000," ","integrate(coth(x)^2/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
202,-2,0,0,0.000000," ","integrate(coth(x)^3/(a+b*sech(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
203,-2,0,0,0.000000," ","integrate(tanh(x)^5/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
204,-2,0,0,0.000000," ","integrate(tanh(x)^4/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
205,-2,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
206,-2,0,0,0.000000," ","integrate(tanh(x)^2/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
207,-2,0,0,0.000000," ","integrate(tanh(x)/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
208,-2,0,0,0.000000," ","integrate(1/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
209,-2,0,0,0.000000," ","integrate(coth(x)/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
210,-2,0,0,0.000000," ","integrate(coth(x)^2/(a+b*sech(x)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
211,-2,0,0,0.000000," ","integrate(tanh(x)^6/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
212,-2,0,0,0.000000," ","integrate(tanh(x)^5/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
213,-2,0,0,0.000000," ","integrate(tanh(x)^4/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
214,-2,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
215,-2,0,0,0.000000," ","integrate(tanh(x)^2/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
216,-2,0,0,0.000000," ","integrate(tanh(x)/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
217,-2,0,0,0.000000," ","integrate(1/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
218,-2,0,0,0.000000," ","integrate(coth(x)/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
219,-2,0,0,0.000000," ","integrate(coth(x)^2/(a+b*sech(x)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.51Error: Bad Argument Type","F(-2)",0
220,-2,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c)^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.44Error: Bad Argument Type","F(-2)",0
