1,1,343,179,0.2811776,"\int (c+d x)^3 \text{sech}(a+b x) \, dx","Integrate[(c + d*x)^3*Sech[a + b*x],x]","\frac{i \left(-2 i b^3 c^3 \tan ^{-1}\left(e^{a+b x}\right)+3 b^3 c^2 d x \log \left(1-i e^{a+b x}\right)-3 b^3 c^2 d x \log \left(1+i e^{a+b x}\right)+3 b^3 c d^2 x^2 \log \left(1-i e^{a+b x}\right)-3 b^3 c d^2 x^2 \log \left(1+i e^{a+b x}\right)+b^3 d^3 x^3 \log \left(1-i e^{a+b x}\right)-b^3 d^3 x^3 \log \left(1+i e^{a+b x}\right)-3 b^2 d (c+d x)^2 \text{Li}_2\left(-i e^{a+b x}\right)+3 b^2 d (c+d x)^2 \text{Li}_2\left(i e^{a+b x}\right)+6 b c d^2 \text{Li}_3\left(-i e^{a+b x}\right)-6 b c d^2 \text{Li}_3\left(i e^{a+b x}\right)+6 b d^3 x \text{Li}_3\left(-i e^{a+b x}\right)-6 b d^3 x \text{Li}_3\left(i e^{a+b x}\right)-6 d^3 \text{Li}_4\left(-i e^{a+b x}\right)+6 d^3 \text{Li}_4\left(i e^{a+b x}\right)\right)}{b^4}","-\frac{6 i d^3 \text{Li}_4\left(-i e^{a+b x}\right)}{b^4}+\frac{6 i d^3 \text{Li}_4\left(i e^{a+b x}\right)}{b^4}+\frac{6 i d^2 (c+d x) \text{Li}_3\left(-i e^{a+b x}\right)}{b^3}-\frac{6 i d^2 (c+d x) \text{Li}_3\left(i e^{a+b x}\right)}{b^3}-\frac{3 i d (c+d x)^2 \text{Li}_2\left(-i e^{a+b x}\right)}{b^2}+\frac{3 i d (c+d x)^2 \text{Li}_2\left(i e^{a+b x}\right)}{b^2}+\frac{2 (c+d x)^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}",1,"(I*((-2*I)*b^3*c^3*ArcTan[E^(a + b*x)] + 3*b^3*c^2*d*x*Log[1 - I*E^(a + b*x)] + 3*b^3*c*d^2*x^2*Log[1 - I*E^(a + b*x)] + b^3*d^3*x^3*Log[1 - I*E^(a + b*x)] - 3*b^3*c^2*d*x*Log[1 + I*E^(a + b*x)] - 3*b^3*c*d^2*x^2*Log[1 + I*E^(a + b*x)] - b^3*d^3*x^3*Log[1 + I*E^(a + b*x)] - 3*b^2*d*(c + d*x)^2*PolyLog[2, (-I)*E^(a + b*x)] + 3*b^2*d*(c + d*x)^2*PolyLog[2, I*E^(a + b*x)] + 6*b*c*d^2*PolyLog[3, (-I)*E^(a + b*x)] + 6*b*d^3*x*PolyLog[3, (-I)*E^(a + b*x)] - 6*b*c*d^2*PolyLog[3, I*E^(a + b*x)] - 6*b*d^3*x*PolyLog[3, I*E^(a + b*x)] - 6*d^3*PolyLog[4, (-I)*E^(a + b*x)] + 6*d^3*PolyLog[4, I*E^(a + b*x)]))/b^4","A",1
2,1,199,119,0.1226641,"\int (c+d x)^2 \text{sech}(a+b x) \, dx","Integrate[(c + d*x)^2*Sech[a + b*x],x]","\frac{i \left(-2 i b^2 c^2 \tan ^{-1}\left(e^{a+b x}\right)+2 b^2 c d x \log \left(1-i e^{a+b x}\right)-2 b^2 c d x \log \left(1+i e^{a+b x}\right)+b^2 d^2 x^2 \log \left(1-i e^{a+b x}\right)-b^2 d^2 x^2 \log \left(1+i e^{a+b x}\right)-2 b d (c+d x) \text{Li}_2\left(-i e^{a+b x}\right)+2 b d (c+d x) \text{Li}_2\left(i e^{a+b x}\right)+2 d^2 \text{Li}_3\left(-i e^{a+b x}\right)-2 d^2 \text{Li}_3\left(i e^{a+b x}\right)\right)}{b^3}","\frac{2 i d^2 \text{Li}_3\left(-i e^{a+b x}\right)}{b^3}-\frac{2 i d^2 \text{Li}_3\left(i e^{a+b x}\right)}{b^3}-\frac{2 i d (c+d x) \text{Li}_2\left(-i e^{a+b x}\right)}{b^2}+\frac{2 i d (c+d x) \text{Li}_2\left(i e^{a+b x}\right)}{b^2}+\frac{2 (c+d x)^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}",1,"(I*((-2*I)*b^2*c^2*ArcTan[E^(a + b*x)] + 2*b^2*c*d*x*Log[1 - I*E^(a + b*x)] + b^2*d^2*x^2*Log[1 - I*E^(a + b*x)] - 2*b^2*c*d*x*Log[1 + I*E^(a + b*x)] - b^2*d^2*x^2*Log[1 + I*E^(a + b*x)] - 2*b*d*(c + d*x)*PolyLog[2, (-I)*E^(a + b*x)] + 2*b*d*(c + d*x)*PolyLog[2, I*E^(a + b*x)] + 2*d^2*PolyLog[3, (-I)*E^(a + b*x)] - 2*d^2*PolyLog[3, I*E^(a + b*x)]))/b^3","A",1
3,1,127,61,0.1350864,"\int (c+d x) \text{sech}(a+b x) \, dx","Integrate[(c + d*x)*Sech[a + b*x],x]","\frac{b c \tan ^{-1}(\sinh (a+b x))+\frac{1}{2} d \left(-2 i \left(\text{Li}_2\left(-i e^{a+b x}\right)-\text{Li}_2\left(i e^{a+b x}\right)\right)-\left((-2 i a-2 i b x+\pi ) \left(\log \left(1-i e^{a+b x}\right)-\log \left(1+i e^{a+b x}\right)\right)\right)+(\pi -2 i a) \log \left(\cot \left(\frac{1}{4} (2 i a+2 i b x+\pi )\right)\right)\right)}{b^2}","-\frac{i d \text{Li}_2\left(-i e^{a+b x}\right)}{b^2}+\frac{i d \text{Li}_2\left(i e^{a+b x}\right)}{b^2}+\frac{2 (c+d x) \tan ^{-1}\left(e^{a+b x}\right)}{b}",1,"(b*c*ArcTan[Sinh[a + b*x]] + (d*(-(((-2*I)*a + Pi - (2*I)*b*x)*(Log[1 - I*E^(a + b*x)] - Log[1 + I*E^(a + b*x)])) + ((-2*I)*a + Pi)*Log[Cot[((2*I)*a + Pi + (2*I)*b*x)/4]] - (2*I)*(PolyLog[2, (-I)*E^(a + b*x)] - PolyLog[2, I*E^(a + b*x)])))/2)/b^2","B",1
4,0,0,17,0.3489732,"\int \frac{\text{sech}(a+b x)}{c+d x} \, dx","Integrate[Sech[a + b*x]/(c + d*x),x]","\int \frac{\text{sech}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{sech}(a+b x)}{c+d x},x\right)",0,"Integrate[Sech[a + b*x]/(c + d*x), x]","A",-1
5,1,145,103,0.7802738,"\int (c+d x)^3 \text{sech}^2(a+b x) \, dx","Integrate[(c + d*x)^3*Sech[a + b*x]^2,x]","\frac{2 \text{sech}(a) \sinh (b x) (c+d x)^3 \text{sech}(a+b x)-\frac{e^{2 a} d \left(-\frac{3 \left(e^{-2 a}+1\right) d \left(2 b (c+d x) \text{Li}_2\left(-e^{-2 (a+b x)}\right)+d \text{Li}_3\left(-e^{-2 (a+b x)}\right)\right)}{b^3}+\frac{6 \left(e^{-2 a}+1\right) (c+d x)^2 \log \left(e^{-2 (a+b x)}+1\right)}{b}+\frac{4 e^{-2 a} (c+d x)^3}{d}\right)}{e^{2 a}+1}}{2 b}","\frac{3 d^3 \text{Li}_3\left(-e^{2 (a+b x)}\right)}{2 b^4}-\frac{3 d^2 (c+d x) \text{Li}_2\left(-e^{2 (a+b x)}\right)}{b^3}-\frac{3 d (c+d x)^2 \log \left(e^{2 (a+b x)}+1\right)}{b^2}+\frac{(c+d x)^3 \tanh (a+b x)}{b}+\frac{(c+d x)^3}{b}",1,"(-((d*E^(2*a)*((4*(c + d*x)^3)/(d*E^(2*a)) + (6*(1 + E^(-2*a))*(c + d*x)^2*Log[1 + E^(-2*(a + b*x))])/b - (3*d*(1 + E^(-2*a))*(2*b*(c + d*x)*PolyLog[2, -E^(-2*(a + b*x))] + d*PolyLog[3, -E^(-2*(a + b*x))]))/b^3))/(1 + E^(2*a))) + 2*(c + d*x)^3*Sech[a]*Sech[a + b*x]*Sinh[b*x])/(2*b)","A",1
6,1,277,73,6.2481341,"\int (c+d x)^2 \text{sech}^2(a+b x) \, dx","Integrate[(c + d*x)^2*Sech[a + b*x]^2,x]","-\frac{2 c d \text{sech}(a) (\cosh (a) \log (\sinh (a) \sinh (b x)+\cosh (a) \cosh (b x))-b x \sinh (a))}{b^2 \left(\cosh ^2(a)-\sinh ^2(a)\right)}-\frac{d^2 \text{csch}(a) \text{sech}(a) \left(b^2 x^2 e^{-\tanh ^{-1}(\coth (a))}-\frac{i \coth (a) \left(i \text{Li}_2\left(e^{2 i \left(i b x+i \tanh ^{-1}(\coth (a))\right)}\right)-b x \left(-\pi +2 i \tanh ^{-1}(\coth (a))\right)-2 \left(i \tanh ^{-1}(\coth (a))+i b x\right) \log \left(1-e^{2 i \left(i \tanh ^{-1}(\coth (a))+i b x\right)}\right)+2 i \tanh ^{-1}(\coth (a)) \log \left(i \sinh \left(\tanh ^{-1}(\coth (a))+b x\right)\right)-\pi  \log \left(e^{2 b x}+1\right)+\pi  \log (\cosh (b x))\right)}{\sqrt{1-\coth ^2(a)}}\right)}{b^3 \sqrt{\text{csch}^2(a) \left(\sinh ^2(a)-\cosh ^2(a)\right)}}+\frac{\text{sech}(a) \text{sech}(a+b x) \left(c^2 \sinh (b x)+2 c d x \sinh (b x)+d^2 x^2 \sinh (b x)\right)}{b}","-\frac{d^2 \text{Li}_2\left(-e^{2 (a+b x)}\right)}{b^3}-\frac{2 d (c+d x) \log \left(e^{2 (a+b x)}+1\right)}{b^2}+\frac{(c+d x)^2 \tanh (a+b x)}{b}+\frac{(c+d x)^2}{b}",1,"(-2*c*d*Sech[a]*(Cosh[a]*Log[Cosh[a]*Cosh[b*x] + Sinh[a]*Sinh[b*x]] - b*x*Sinh[a]))/(b^2*(Cosh[a]^2 - Sinh[a]^2)) - (d^2*Csch[a]*((b^2*x^2)/E^ArcTanh[Coth[a]] - (I*Coth[a]*(-(b*x*(-Pi + (2*I)*ArcTanh[Coth[a]])) - Pi*Log[1 + E^(2*b*x)] - 2*(I*b*x + I*ArcTanh[Coth[a]])*Log[1 - E^((2*I)*(I*b*x + I*ArcTanh[Coth[a]]))] + Pi*Log[Cosh[b*x]] + (2*I)*ArcTanh[Coth[a]]*Log[I*Sinh[b*x + ArcTanh[Coth[a]]]] + I*PolyLog[2, E^((2*I)*(I*b*x + I*ArcTanh[Coth[a]]))]))/Sqrt[1 - Coth[a]^2])*Sech[a])/(b^3*Sqrt[Csch[a]^2*(-Cosh[a]^2 + Sinh[a]^2)]) + (Sech[a]*Sech[a + b*x]*(c^2*Sinh[b*x] + 2*c*d*x*Sinh[b*x] + d^2*x^2*Sinh[b*x]))/b","C",0
7,1,51,29,0.0898344,"\int (c+d x) \text{sech}^2(a+b x) \, dx","Integrate[(c + d*x)*Sech[a + b*x]^2,x]","-\frac{d \log (\cosh (a+b x))}{b^2}+\frac{c \tanh (a+b x)}{b}+\frac{d x \tanh (a)}{b}+\frac{d x \text{sech}(a) \sinh (b x) \text{sech}(a+b x)}{b}","\frac{(c+d x) \tanh (a+b x)}{b}-\frac{d \log (\cosh (a+b x))}{b^2}",1,"-((d*Log[Cosh[a + b*x]])/b^2) + (d*x*Sech[a]*Sech[a + b*x]*Sinh[b*x])/b + (d*x*Tanh[a])/b + (c*Tanh[a + b*x])/b","A",1
8,0,0,19,5.9257933,"\int \frac{\text{sech}^2(a+b x)}{c+d x} \, dx","Integrate[Sech[a + b*x]^2/(c + d*x),x]","\int \frac{\text{sech}^2(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{sech}^2(a+b x)}{c+d x},x\right)",0,"Integrate[Sech[a + b*x]^2/(c + d*x), x]","A",-1
9,1,455,296,6.4195462,"\int (c+d x)^3 \text{sech}^3(a+b x) \, dx","Integrate[(c + d*x)^3*Sech[a + b*x]^3,x]","\frac{b^2 (c+d x)^2 \text{sech}(a+b x) (b (c+d x) \tanh (a+b x)+3 d)+i \left(-2 i b^3 c^3 \tan ^{-1}\left(e^{a+b x}\right)+3 b^3 c^2 d x \log \left(1-i e^{a+b x}\right)-3 b^3 c^2 d x \log \left(1+i e^{a+b x}\right)+3 b^3 c d^2 x^2 \log \left(1-i e^{a+b x}\right)-3 b^3 c d^2 x^2 \log \left(1+i e^{a+b x}\right)+b^3 d^3 x^3 \log \left(1-i e^{a+b x}\right)-b^3 d^3 x^3 \log \left(1+i e^{a+b x}\right)-3 d \text{Li}_2\left(-i e^{a+b x}\right) \left(b^2 (c+d x)^2-2 d^2\right)+3 d \text{Li}_2\left(i e^{a+b x}\right) \left(b^2 (c+d x)^2-2 d^2\right)+6 b c d^2 \text{Li}_3\left(-i e^{a+b x}\right)-6 b c d^2 \text{Li}_3\left(i e^{a+b x}\right)+12 i b c d^2 \tan ^{-1}\left(e^{a+b x}\right)+6 b d^3 x \text{Li}_3\left(-i e^{a+b x}\right)-6 b d^3 x \text{Li}_3\left(i e^{a+b x}\right)-6 d^3 \text{Li}_4\left(-i e^{a+b x}\right)+6 d^3 \text{Li}_4\left(i e^{a+b x}\right)-6 b d^3 x \log \left(1-i e^{a+b x}\right)+6 b d^3 x \log \left(1+i e^{a+b x}\right)\right)}{2 b^4}","\frac{3 i d^3 \text{Li}_2\left(-i e^{a+b x}\right)}{b^4}-\frac{3 i d^3 \text{Li}_2\left(i e^{a+b x}\right)}{b^4}-\frac{3 i d^3 \text{Li}_4\left(-i e^{a+b x}\right)}{b^4}+\frac{3 i d^3 \text{Li}_4\left(i e^{a+b x}\right)}{b^4}+\frac{3 i d^2 (c+d x) \text{Li}_3\left(-i e^{a+b x}\right)}{b^3}-\frac{3 i d^2 (c+d x) \text{Li}_3\left(i e^{a+b x}\right)}{b^3}-\frac{6 d^2 (c+d x) \tan ^{-1}\left(e^{a+b x}\right)}{b^3}-\frac{3 i d (c+d x)^2 \text{Li}_2\left(-i e^{a+b x}\right)}{2 b^2}+\frac{3 i d (c+d x)^2 \text{Li}_2\left(i e^{a+b x}\right)}{2 b^2}+\frac{3 d (c+d x)^2 \text{sech}(a+b x)}{2 b^2}+\frac{(c+d x)^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{(c+d x)^3 \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(I*((-2*I)*b^3*c^3*ArcTan[E^(a + b*x)] + (12*I)*b*c*d^2*ArcTan[E^(a + b*x)] + 3*b^3*c^2*d*x*Log[1 - I*E^(a + b*x)] - 6*b*d^3*x*Log[1 - I*E^(a + b*x)] + 3*b^3*c*d^2*x^2*Log[1 - I*E^(a + b*x)] + b^3*d^3*x^3*Log[1 - I*E^(a + b*x)] - 3*b^3*c^2*d*x*Log[1 + I*E^(a + b*x)] + 6*b*d^3*x*Log[1 + I*E^(a + b*x)] - 3*b^3*c*d^2*x^2*Log[1 + I*E^(a + b*x)] - b^3*d^3*x^3*Log[1 + I*E^(a + b*x)] - 3*d*(-2*d^2 + b^2*(c + d*x)^2)*PolyLog[2, (-I)*E^(a + b*x)] + 3*d*(-2*d^2 + b^2*(c + d*x)^2)*PolyLog[2, I*E^(a + b*x)] + 6*b*c*d^2*PolyLog[3, (-I)*E^(a + b*x)] + 6*b*d^3*x*PolyLog[3, (-I)*E^(a + b*x)] - 6*b*c*d^2*PolyLog[3, I*E^(a + b*x)] - 6*b*d^3*x*PolyLog[3, I*E^(a + b*x)] - 6*d^3*PolyLog[4, (-I)*E^(a + b*x)] + 6*d^3*PolyLog[4, I*E^(a + b*x)]) + b^2*(c + d*x)^2*Sech[a + b*x]*(3*d + b*(c + d*x)*Tanh[a + b*x]))/(2*b^4)","A",1
10,1,270,175,2.050583,"\int (c+d x)^2 \text{sech}^3(a+b x) \, dx","Integrate[(c + d*x)^2*Sech[a + b*x]^3,x]","\frac{i \left(-2 i b^2 c^2 \tan ^{-1}\left(e^{a+b x}\right)+2 b^2 c d x \log \left(1-i e^{a+b x}\right)-2 b^2 c d x \log \left(1+i e^{a+b x}\right)+b^2 d^2 x^2 \log \left(1-i e^{a+b x}\right)-b^2 d^2 x^2 \log \left(1+i e^{a+b x}\right)-2 b d (c+d x) \text{Li}_2\left(-i e^{a+b x}\right)+2 b d (c+d x) \text{Li}_2\left(i e^{a+b x}\right)+2 d^2 \text{Li}_3\left(-i e^{a+b x}\right)-2 d^2 \text{Li}_3\left(i e^{a+b x}\right)+4 i d^2 \tan ^{-1}\left(e^{a+b x}\right)\right)+b^2 \text{sech}(a) \sinh (b x) (c+d x)^2 \text{sech}^2(a+b x)+b (c+d x) \text{sech}(a+b x) (b \tanh (a) (c+d x)+2 d)}{2 b^3}","\frac{i d^2 \text{Li}_3\left(-i e^{a+b x}\right)}{b^3}-\frac{i d^2 \text{Li}_3\left(i e^{a+b x}\right)}{b^3}-\frac{d^2 \tan ^{-1}(\sinh (a+b x))}{b^3}-\frac{i d (c+d x) \text{Li}_2\left(-i e^{a+b x}\right)}{b^2}+\frac{i d (c+d x) \text{Li}_2\left(i e^{a+b x}\right)}{b^2}+\frac{d (c+d x) \text{sech}(a+b x)}{b^2}+\frac{(c+d x)^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{(c+d x)^2 \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(I*((-2*I)*b^2*c^2*ArcTan[E^(a + b*x)] + (4*I)*d^2*ArcTan[E^(a + b*x)] + 2*b^2*c*d*x*Log[1 - I*E^(a + b*x)] + b^2*d^2*x^2*Log[1 - I*E^(a + b*x)] - 2*b^2*c*d*x*Log[1 + I*E^(a + b*x)] - b^2*d^2*x^2*Log[1 + I*E^(a + b*x)] - 2*b*d*(c + d*x)*PolyLog[2, (-I)*E^(a + b*x)] + 2*b*d*(c + d*x)*PolyLog[2, I*E^(a + b*x)] + 2*d^2*PolyLog[3, (-I)*E^(a + b*x)] - 2*d^2*PolyLog[3, I*E^(a + b*x)]) + b^2*(c + d*x)^2*Sech[a]*Sech[a + b*x]^2*Sinh[b*x] + b*(c + d*x)*Sech[a + b*x]*(2*d + b*(c + d*x)*Tanh[a]))/(2*b^3)","A",1
11,1,178,102,2.9576291,"\int (c+d x) \text{sech}^3(a+b x) \, dx","Integrate[(c + d*x)*Sech[a + b*x]^3,x]","\frac{b c \tan ^{-1}(\sinh (a+b x))+b c \tanh (a+b x) \text{sech}(a+b x)+\frac{1}{2} d \left(-2 i \left(\text{Li}_2\left(-i e^{a+b x}\right)-\text{Li}_2\left(i e^{a+b x}\right)\right)-\left((-2 i a-2 i b x+\pi ) \left(\log \left(1-i e^{a+b x}\right)-\log \left(1+i e^{a+b x}\right)\right)\right)+(\pi -2 i a) \log \left(\cot \left(\frac{1}{4} (2 i a+2 i b x+\pi )\right)\right)\right)+b d x \text{sech}(a) \sinh (b x) \text{sech}^2(a+b x)+d (b x \tanh (a)+1) \text{sech}(a+b x)}{2 b^2}","-\frac{i d \text{Li}_2\left(-i e^{a+b x}\right)}{2 b^2}+\frac{i d \text{Li}_2\left(i e^{a+b x}\right)}{2 b^2}+\frac{d \text{sech}(a+b x)}{2 b^2}+\frac{(c+d x) \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{(c+d x) \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(b*c*ArcTan[Sinh[a + b*x]] + (d*(-(((-2*I)*a + Pi - (2*I)*b*x)*(Log[1 - I*E^(a + b*x)] - Log[1 + I*E^(a + b*x)])) + ((-2*I)*a + Pi)*Log[Cot[((2*I)*a + Pi + (2*I)*b*x)/4]] - (2*I)*(PolyLog[2, (-I)*E^(a + b*x)] - PolyLog[2, I*E^(a + b*x)])))/2 + b*d*x*Sech[a]*Sech[a + b*x]^2*Sinh[b*x] + d*Sech[a + b*x]*(1 + b*x*Tanh[a]) + b*c*Sech[a + b*x]*Tanh[a + b*x])/(2*b^2)","A",1
12,0,0,19,94.1932322,"\int \frac{\text{sech}^3(a+b x)}{c+d x} \, dx","Integrate[Sech[a + b*x]^3/(c + d*x),x]","\int \frac{\text{sech}^3(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{sech}^3(a+b x)}{c+d x},x\right)",0,"Integrate[Sech[a + b*x]^3/(c + d*x), x]","A",-1
13,1,17,24,0.0995234,"\int \left(\frac{x}{\text{sech}^{\frac{3}{2}}(x)}-\frac{1}{3} x \sqrt{\text{sech}(x)}\right) \, dx","Integrate[x/Sech[x]^(3/2) - (x*Sqrt[Sech[x]])/3,x]","\frac{2 (3 x \tanh (x)-2)}{9 \text{sech}^{\frac{3}{2}}(x)}","\frac{2 x \sinh (x)}{3 \sqrt{\text{sech}(x)}}-\frac{4}{9 \text{sech}^{\frac{3}{2}}(x)}",1,"(2*(-2 + 3*x*Tanh[x]))/(9*Sech[x]^(3/2))","A",1
14,1,17,24,0.1227254,"\int \left(\frac{x}{\text{sech}^{\frac{5}{2}}(x)}-\frac{3 x}{5 \sqrt{\text{sech}(x)}}\right) \, dx","Integrate[x/Sech[x]^(5/2) - (3*x)/(5*Sqrt[Sech[x]]),x]","\frac{2 (5 x \tanh (x)-2)}{25 \text{sech}^{\frac{5}{2}}(x)}","\frac{2 x \sinh (x)}{5 \text{sech}^{\frac{3}{2}}(x)}-\frac{4}{25 \text{sech}^{\frac{5}{2}}(x)}",1,"(2*(-2 + 5*x*Tanh[x]))/(25*Sech[x]^(5/2))","A",1
15,1,45,47,0.0959648,"\int \left(\frac{x}{\text{sech}^{\frac{7}{2}}(x)}-\frac{5}{21} x \sqrt{\text{sech}(x)}\right) \, dx","Integrate[x/Sech[x]^(7/2) - (5*x*Sqrt[Sech[x]])/21,x]","\sqrt{\text{sech}(x)} \left(\frac{13}{42} x \sinh (2 x)+\frac{1}{28} x \sinh (4 x)-\frac{88}{441} \cosh (2 x)-\frac{1}{98} \cosh (4 x)-\frac{167}{882}\right)","-\frac{20}{63 \text{sech}^{\frac{3}{2}}(x)}-\frac{4}{49 \text{sech}^{\frac{7}{2}}(x)}+\frac{2 x \sinh (x)}{7 \text{sech}^{\frac{5}{2}}(x)}+\frac{10 x \sinh (x)}{21 \sqrt{\text{sech}(x)}}",1,"Sqrt[Sech[x]]*(-167/882 - (88*Cosh[2*x])/441 - Cosh[4*x]/98 + (13*x*Sinh[2*x])/42 + (x*Sinh[4*x])/28)","A",1
16,1,55,66,0.0963906,"\int \left(\frac{x^2}{\text{sech}^{\frac{3}{2}}(x)}-\frac{1}{3} x^2 \sqrt{\text{sech}(x)}\right) \, dx","Integrate[x^2/Sech[x]^(3/2) - (x^2*Sqrt[Sech[x]])/3,x]","\frac{1}{27} \sqrt{\text{sech}(x)} \left(9 x^2 \sinh (2 x)-12 x+8 \sinh (2 x)-12 x \cosh (2 x)-16 i \sqrt{\cosh (x)} F\left(\left.\frac{i x}{2}\right|2\right)\right)","\frac{2 x^2 \sinh (x)}{3 \sqrt{\text{sech}(x)}}-\frac{8 x}{9 \text{sech}^{\frac{3}{2}}(x)}+\frac{16 \sinh (x)}{27 \sqrt{\text{sech}(x)}}-\frac{16}{27} i \sqrt{\cosh (x)} \sqrt{\text{sech}(x)} F\left(\left.\frac{i x}{2}\right|2\right)",1,"(Sqrt[Sech[x]]*(-12*x - 12*x*Cosh[2*x] - (16*I)*Sqrt[Cosh[x]]*EllipticF[(I/2)*x, 2] + 8*Sinh[2*x] + 9*x^2*Sinh[2*x]))/27","A",1