1,1,10,0,0.0056658,"\int \sinh (a+b x) \, dx","Int[Sinh[a + b*x],x]","\frac{\cosh (a+b x)}{b}","\frac{\cosh (a+b x)}{b}",1,"Cosh[a + b*x]/b","A",1,1,6,0.1667,1,"{2638}"
2,1,25,0,0.0091,"\int \sinh ^2(a+b x) \, dx","Int[Sinh[a + b*x]^2,x]","\frac{\sinh (a+b x) \cosh (a+b x)}{2 b}-\frac{x}{2}","\frac{\sinh (a+b x) \cosh (a+b x)}{2 b}-\frac{x}{2}",1,"-x/2 + (Cosh[a + b*x]*Sinh[a + b*x])/(2*b)","A",2,2,8,0.2500,1,"{2635, 8}"
3,1,27,0,0.0139676,"\int \sinh ^3(a+b x) \, dx","Int[Sinh[a + b*x]^3,x]","\frac{\cosh ^3(a+b x)}{3 b}-\frac{\cosh (a+b x)}{b}","\frac{\cosh ^3(a+b x)}{3 b}-\frac{\cosh (a+b x)}{b}",1,"-(Cosh[a + b*x]/b) + Cosh[a + b*x]^3/(3*b)","A",2,1,8,0.1250,1,"{2633}"
4,1,46,0,0.0207817,"\int \sinh ^4(a+b x) \, dx","Int[Sinh[a + b*x]^4,x]","\frac{\sinh ^3(a+b x) \cosh (a+b x)}{4 b}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b}+\frac{3 x}{8}","\frac{\sinh ^3(a+b x) \cosh (a+b x)}{4 b}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b}+\frac{3 x}{8}",1,"(3*x)/8 - (3*Cosh[a + b*x]*Sinh[a + b*x])/(8*b) + (Cosh[a + b*x]*Sinh[a + b*x]^3)/(4*b)","A",3,2,8,0.2500,1,"{2635, 8}"
5,1,41,0,0.0169643,"\int \sinh ^5(a+b x) \, dx","Int[Sinh[a + b*x]^5,x]","\frac{\cosh ^5(a+b x)}{5 b}-\frac{2 \cosh ^3(a+b x)}{3 b}+\frac{\cosh (a+b x)}{b}","\frac{\cosh ^5(a+b x)}{5 b}-\frac{2 \cosh ^3(a+b x)}{3 b}+\frac{\cosh (a+b x)}{b}",1,"Cosh[a + b*x]/b - (2*Cosh[a + b*x]^3)/(3*b) + Cosh[a + b*x]^5/(5*b)","A",2,1,8,0.1250,1,"{2633}"
6,1,67,0,0.0325209,"\int \sinh ^6(a+b x) \, dx","Int[Sinh[a + b*x]^6,x]","\frac{\sinh ^5(a+b x) \cosh (a+b x)}{6 b}-\frac{5 \sinh ^3(a+b x) \cosh (a+b x)}{24 b}+\frac{5 \sinh (a+b x) \cosh (a+b x)}{16 b}-\frac{5 x}{16}","\frac{\sinh ^5(a+b x) \cosh (a+b x)}{6 b}-\frac{5 \sinh ^3(a+b x) \cosh (a+b x)}{24 b}+\frac{5 \sinh (a+b x) \cosh (a+b x)}{16 b}-\frac{5 x}{16}",1,"(-5*x)/16 + (5*Cosh[a + b*x]*Sinh[a + b*x])/(16*b) - (5*Cosh[a + b*x]*Sinh[a + b*x]^3)/(24*b) + (Cosh[a + b*x]*Sinh[a + b*x]^5)/(6*b)","A",4,2,8,0.2500,1,"{2635, 8}"
7,1,103,0,0.048612,"\int \sinh ^{\frac{7}{2}}(a+b x) \, dx","Int[Sinh[a + b*x]^(7/2),x]","\frac{2 \sinh ^{\frac{5}{2}}(a+b x) \cosh (a+b x)}{7 b}-\frac{10 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{21 b}-\frac{10 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{21 b \sqrt{\sinh (a+b x)}}","\frac{2 \sinh ^{\frac{5}{2}}(a+b x) \cosh (a+b x)}{7 b}-\frac{10 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{21 b}-\frac{10 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{21 b \sqrt{\sinh (a+b x)}}",1,"(((-10*I)/21)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]]) - (10*Cosh[a + b*x]*Sqrt[Sinh[a + b*x]])/(21*b) + (2*Cosh[a + b*x]*Sinh[a + b*x]^(5/2))/(7*b)","A",4,3,10,0.3000,1,"{2635, 2642, 2641}"
8,1,80,0,0.0320144,"\int \sinh ^{\frac{5}{2}}(a+b x) \, dx","Int[Sinh[a + b*x]^(5/2),x]","\frac{2 \sinh ^{\frac{3}{2}}(a+b x) \cosh (a+b x)}{5 b}+\frac{6 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)}}","\frac{2 \sinh ^{\frac{3}{2}}(a+b x) \cosh (a+b x)}{5 b}+\frac{6 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)}}",1,"(((6*I)/5)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b*Sqrt[I*Sinh[a + b*x]]) + (2*Cosh[a + b*x]*Sinh[a + b*x]^(3/2))/(5*b)","A",3,3,10,0.3000,1,"{2635, 2640, 2639}"
9,1,80,0,0.0318454,"\int \sinh ^{\frac{3}{2}}(a+b x) \, dx","Int[Sinh[a + b*x]^(3/2),x]","\frac{2 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{3 b}+\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b \sqrt{\sinh (a+b x)}}","\frac{2 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{3 b}+\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b \sqrt{\sinh (a+b x)}}",1,"(((2*I)/3)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]]) + (2*Cosh[a + b*x]*Sqrt[Sinh[a + b*x]])/(3*b)","A",3,3,10,0.3000,1,"{2635, 2642, 2641}"
10,1,54,0,0.0187614,"\int \sqrt{\sinh (a+b x)} \, dx","Int[Sqrt[Sinh[a + b*x]],x]","-\frac{2 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)}}","-\frac{2 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)}}",1,"((-2*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b*Sqrt[I*Sinh[a + b*x]])","A",2,2,10,0.2000,1,"{2640, 2639}"
11,1,54,0,0.019737,"\int \frac{1}{\sqrt{\sinh (a+b x)}} \, dx","Int[1/Sqrt[Sinh[a + b*x]],x]","-\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{\sinh (a+b x)}}","-\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{\sinh (a+b x)}}",1,"((-2*I)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]])","A",2,2,10,0.2000,1,"{2642, 2641}"
12,1,76,0,0.028671,"\int \frac{1}{\sinh ^{\frac{3}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(-3/2),x]","-\frac{2 \cosh (a+b x)}{b \sqrt{\sinh (a+b x)}}-\frac{2 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)}}","-\frac{2 \cosh (a+b x)}{b \sqrt{\sinh (a+b x)}}-\frac{2 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)}}",1,"(-2*Cosh[a + b*x])/(b*Sqrt[Sinh[a + b*x]]) - ((2*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b*Sqrt[I*Sinh[a + b*x]])","A",3,3,10,0.3000,1,"{2636, 2640, 2639}"
13,1,80,0,0.0317031,"\int \frac{1}{\sinh ^{\frac{5}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(-5/2),x]","-\frac{2 \cosh (a+b x)}{3 b \sinh ^{\frac{3}{2}}(a+b x)}+\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b \sqrt{\sinh (a+b x)}}","-\frac{2 \cosh (a+b x)}{3 b \sinh ^{\frac{3}{2}}(a+b x)}+\frac{2 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b \sqrt{\sinh (a+b x)}}",1,"(-2*Cosh[a + b*x])/(3*b*Sinh[a + b*x]^(3/2)) + (((2*I)/3)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]])","A",3,3,10,0.3000,1,"{2636, 2642, 2641}"
14,1,103,0,0.0442112,"\int \frac{1}{\sinh ^{\frac{7}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(-7/2),x]","-\frac{2 \cosh (a+b x)}{5 b \sinh ^{\frac{5}{2}}(a+b x)}+\frac{6 \cosh (a+b x)}{5 b \sqrt{\sinh (a+b x)}}+\frac{6 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)}}","-\frac{2 \cosh (a+b x)}{5 b \sinh ^{\frac{5}{2}}(a+b x)}+\frac{6 \cosh (a+b x)}{5 b \sqrt{\sinh (a+b x)}}+\frac{6 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)}}",1,"(-2*Cosh[a + b*x])/(5*b*Sinh[a + b*x]^(5/2)) + (6*Cosh[a + b*x])/(5*b*Sqrt[Sinh[a + b*x]]) + (((6*I)/5)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b*Sqrt[I*Sinh[a + b*x]])","A",4,3,10,0.3000,1,"{2636, 2640, 2639}"
15,1,116,0,0.0578067,"\int (b \sinh (c+d x))^{7/2} \, dx","Int[(b*Sinh[c + d*x])^(7/2),x]","-\frac{10 b^3 \cosh (c+d x) \sqrt{b \sinh (c+d x)}}{21 d}-\frac{10 i b^4 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{21 d \sqrt{b \sinh (c+d x)}}+\frac{2 b \cosh (c+d x) (b \sinh (c+d x))^{5/2}}{7 d}","-\frac{10 b^3 \cosh (c+d x) \sqrt{b \sinh (c+d x)}}{21 d}-\frac{10 i b^4 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{21 d \sqrt{b \sinh (c+d x)}}+\frac{2 b \cosh (c+d x) (b \sinh (c+d x))^{5/2}}{7 d}",1,"(((-10*I)/21)*b^4*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(d*Sqrt[b*Sinh[c + d*x]]) - (10*b^3*Cosh[c + d*x]*Sqrt[b*Sinh[c + d*x]])/(21*d) + (2*b*Cosh[c + d*x]*(b*Sinh[c + d*x])^(5/2))/(7*d)","A",4,3,12,0.2500,1,"{2635, 2642, 2641}"
16,1,88,0,0.036614,"\int (b \sinh (c+d x))^{5/2} \, dx","Int[(b*Sinh[c + d*x])^(5/2),x]","\frac{2 b \cosh (c+d x) (b \sinh (c+d x))^{3/2}}{5 d}+\frac{6 i b^2 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{5 d \sqrt{i \sinh (c+d x)}}","\frac{2 b \cosh (c+d x) (b \sinh (c+d x))^{3/2}}{5 d}+\frac{6 i b^2 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{5 d \sqrt{i \sinh (c+d x)}}",1,"(((6*I)/5)*b^2*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[b*Sinh[c + d*x]])/(d*Sqrt[I*Sinh[c + d*x]]) + (2*b*Cosh[c + d*x]*(b*Sinh[c + d*x])^(3/2))/(5*d)","A",3,3,12,0.2500,1,"{2635, 2640, 2639}"
17,1,88,0,0.0368896,"\int (b \sinh (c+d x))^{3/2} \, dx","Int[(b*Sinh[c + d*x])^(3/2),x]","\frac{2 b \cosh (c+d x) \sqrt{b \sinh (c+d x)}}{3 d}+\frac{2 i b^2 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d \sqrt{b \sinh (c+d x)}}","\frac{2 b \cosh (c+d x) \sqrt{b \sinh (c+d x)}}{3 d}+\frac{2 i b^2 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d \sqrt{b \sinh (c+d x)}}",1,"(((2*I)/3)*b^2*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(d*Sqrt[b*Sinh[c + d*x]]) + (2*b*Cosh[c + d*x]*Sqrt[b*Sinh[c + d*x]])/(3*d)","A",3,3,12,0.2500,1,"{2635, 2642, 2641}"
18,1,56,0,0.0215649,"\int \sqrt{b \sinh (c+d x)} \, dx","Int[Sqrt[b*Sinh[c + d*x]],x]","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{d \sqrt{i \sinh (c+d x)}}","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{d \sqrt{i \sinh (c+d x)}}",1,"((-2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[b*Sinh[c + d*x]])/(d*Sqrt[I*Sinh[c + d*x]])","A",2,2,12,0.1667,1,"{2640, 2639}"
19,1,56,0,0.0218033,"\int \frac{1}{\sqrt{b \sinh (c+d x)}} \, dx","Int[1/Sqrt[b*Sinh[c + d*x]],x]","-\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{b \sinh (c+d x)}}","-\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{b \sinh (c+d x)}}",1,"((-2*I)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(d*Sqrt[b*Sinh[c + d*x]])","A",2,2,12,0.1667,1,"{2642, 2641}"
20,1,86,0,0.0379691,"\int \frac{1}{(b \sinh (c+d x))^{3/2}} \, dx","Int[(b*Sinh[c + d*x])^(-3/2),x]","-\frac{2 \cosh (c+d x)}{b d \sqrt{b \sinh (c+d x)}}-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{b^2 d \sqrt{i \sinh (c+d x)}}","-\frac{2 \cosh (c+d x)}{b d \sqrt{b \sinh (c+d x)}}-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{b^2 d \sqrt{i \sinh (c+d x)}}",1,"(-2*Cosh[c + d*x])/(b*d*Sqrt[b*Sinh[c + d*x]]) - ((2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[b*Sinh[c + d*x]])/(b^2*d*Sqrt[I*Sinh[c + d*x]])","A",3,3,12,0.2500,1,"{2636, 2640, 2639}"
21,1,90,0,0.0379677,"\int \frac{1}{(b \sinh (c+d x))^{5/2}} \, dx","Int[(b*Sinh[c + d*x])^(-5/2),x]","-\frac{2 \cosh (c+d x)}{3 b d (b \sinh (c+d x))^{3/2}}+\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 d \sqrt{b \sinh (c+d x)}}","-\frac{2 \cosh (c+d x)}{3 b d (b \sinh (c+d x))^{3/2}}+\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 d \sqrt{b \sinh (c+d x)}}",1,"(-2*Cosh[c + d*x])/(3*b*d*(b*Sinh[c + d*x])^(3/2)) + (((2*I)/3)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(b^2*d*Sqrt[b*Sinh[c + d*x]])","A",3,3,12,0.2500,1,"{2636, 2642, 2641}"
22,1,118,0,0.0560453,"\int \frac{1}{(b \sinh (c+d x))^{7/2}} \, dx","Int[(b*Sinh[c + d*x])^(-7/2),x]","\frac{6 \cosh (c+d x)}{5 b^3 d \sqrt{b \sinh (c+d x)}}+\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{5 b^4 d \sqrt{i \sinh (c+d x)}}-\frac{2 \cosh (c+d x)}{5 b d (b \sinh (c+d x))^{5/2}}","\frac{6 \cosh (c+d x)}{5 b^3 d \sqrt{b \sinh (c+d x)}}+\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \sinh (c+d x)}}{5 b^4 d \sqrt{i \sinh (c+d x)}}-\frac{2 \cosh (c+d x)}{5 b d (b \sinh (c+d x))^{5/2}}",1,"(-2*Cosh[c + d*x])/(5*b*d*(b*Sinh[c + d*x])^(5/2)) + (6*Cosh[c + d*x])/(5*b^3*d*Sqrt[b*Sinh[c + d*x]]) + (((6*I)/5)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[b*Sinh[c + d*x]])/(b^4*d*Sqrt[I*Sinh[c + d*x]])","A",4,3,12,0.2500,1,"{2636, 2640, 2639}"
23,1,91,0,0.0343493,"\int (i \sinh (c+d x))^{7/2} \, dx","Int[(I*Sinh[c + d*x])^(7/2),x]","-\frac{10 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{21 d}+\frac{2 i (i \sinh (c+d x))^{5/2} \cosh (c+d x)}{7 d}+\frac{10 i \sqrt{i \sinh (c+d x)} \cosh (c+d x)}{21 d}","-\frac{10 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{21 d}+\frac{2 i (i \sinh (c+d x))^{5/2} \cosh (c+d x)}{7 d}+\frac{10 i \sqrt{i \sinh (c+d x)} \cosh (c+d x)}{21 d}",1,"(((-10*I)/21)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d + (((10*I)/21)*Cosh[c + d*x]*Sqrt[I*Sinh[c + d*x]])/d + (((2*I)/7)*Cosh[c + d*x]*(I*Sinh[c + d*x])^(5/2))/d","A",3,2,14,0.1429,1,"{2635, 2641}"
24,1,62,0,0.0198261,"\int (i \sinh (c+d x))^{5/2} \, dx","Int[(I*Sinh[c + d*x])^(5/2),x]","\frac{2 i (i \sinh (c+d x))^{3/2} \cosh (c+d x)}{5 d}-\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d}","\frac{2 i (i \sinh (c+d x))^{3/2} \cosh (c+d x)}{5 d}-\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d}",1,"(((-6*I)/5)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d + (((2*I)/5)*Cosh[c + d*x]*(I*Sinh[c + d*x])^(3/2))/d","A",2,2,14,0.1429,1,"{2635, 2639}"
25,1,62,0,0.0205847,"\int (i \sinh (c+d x))^{3/2} \, dx","Int[(I*Sinh[c + d*x])^(3/2),x]","\frac{2 i \sqrt{i \sinh (c+d x)} \cosh (c+d x)}{3 d}-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d}","\frac{2 i \sqrt{i \sinh (c+d x)} \cosh (c+d x)}{3 d}-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d}",1,"(((-2*I)/3)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d + (((2*I)/3)*Cosh[c + d*x]*Sqrt[I*Sinh[c + d*x]])/d","A",2,2,14,0.1429,1,"{2635, 2641}"
26,1,30,0,0.0091243,"\int \sqrt{i \sinh (c+d x)} \, dx","Int[Sqrt[I*Sinh[c + d*x]],x]","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}",1,"((-2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d","A",1,1,14,0.07143,1,"{2639}"
27,1,30,0,0.0086927,"\int \frac{1}{\sqrt{i \sinh (c+d x)}} \, dx","Int[1/Sqrt[I*Sinh[c + d*x]],x]","-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}","-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}",1,"((-2*I)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d","A",1,1,14,0.07143,1,"{2641}"
28,1,58,0,0.0186412,"\int \frac{1}{(i \sinh (c+d x))^{3/2}} \, dx","Int[(I*Sinh[c + d*x])^(-3/2),x]","\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}+\frac{2 i \cosh (c+d x)}{d \sqrt{i \sinh (c+d x)}}","\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d}+\frac{2 i \cosh (c+d x)}{d \sqrt{i \sinh (c+d x)}}",1,"((2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d + ((2*I)*Cosh[c + d*x])/(d*Sqrt[I*Sinh[c + d*x]])","A",2,2,14,0.1429,1,"{2636, 2639}"
29,1,62,0,0.0201901,"\int \frac{1}{(i \sinh (c+d x))^{5/2}} \, dx","Int[(I*Sinh[c + d*x])^(-5/2),x]","\frac{2 i \cosh (c+d x)}{3 d (i \sinh (c+d x))^{3/2}}-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d}","\frac{2 i \cosh (c+d x)}{3 d (i \sinh (c+d x))^{3/2}}-\frac{2 i F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{3 d}",1,"(((-2*I)/3)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d + (((2*I)/3)*Cosh[c + d*x])/(d*(I*Sinh[c + d*x])^(3/2))","A",2,2,14,0.1429,1,"{2636, 2641}"
30,1,91,0,0.0333186,"\int \frac{1}{(i \sinh (c+d x))^{7/2}} \, dx","Int[(I*Sinh[c + d*x])^(-7/2),x]","\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d}+\frac{6 i \cosh (c+d x)}{5 d \sqrt{i \sinh (c+d x)}}+\frac{2 i \cosh (c+d x)}{5 d (i \sinh (c+d x))^{5/2}}","\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d}+\frac{6 i \cosh (c+d x)}{5 d \sqrt{i \sinh (c+d x)}}+\frac{2 i \cosh (c+d x)}{5 d (i \sinh (c+d x))^{5/2}}",1,"(((6*I)/5)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d + (((2*I)/5)*Cosh[c + d*x])/(d*(I*Sinh[c + d*x])^(5/2)) + (((6*I)/5)*Cosh[c + d*x])/(d*Sqrt[I*Sinh[c + d*x]])","A",3,2,14,0.1429,1,"{2636, 2639}"
31,1,60,0,0.0154059,"\int (b \sinh (c+d x))^{4/3} \, dx","Int[(b*Sinh[c + d*x])^(4/3),x]","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{7/3} \, _2F_1\left(\frac{1}{2},\frac{7}{6};\frac{13}{6};-\sinh ^2(c+d x)\right)}{7 b d \sqrt{\cosh ^2(c+d x)}}","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{7/3} \, _2F_1\left(\frac{1}{2},\frac{7}{6};\frac{13}{6};-\sinh ^2(c+d x)\right)}{7 b d \sqrt{\cosh ^2(c+d x)}}",1,"(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 7/6, 13/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(7/3))/(7*b*d*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
32,1,60,0,0.015458,"\int (b \sinh (c+d x))^{2/3} \, dx","Int[(b*Sinh[c + d*x])^(2/3),x]","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{5/3} \, _2F_1\left(\frac{1}{2},\frac{5}{6};\frac{11}{6};-\sinh ^2(c+d x)\right)}{5 b d \sqrt{\cosh ^2(c+d x)}}","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{5/3} \, _2F_1\left(\frac{1}{2},\frac{5}{6};\frac{11}{6};-\sinh ^2(c+d x)\right)}{5 b d \sqrt{\cosh ^2(c+d x)}}",1,"(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 5/6, 11/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(5/3))/(5*b*d*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
33,1,60,0,0.0163367,"\int \sqrt[3]{b \sinh (c+d x)} \, dx","Int[(b*Sinh[c + d*x])^(1/3),x]","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{4/3} \, _2F_1\left(\frac{1}{2},\frac{2}{3};\frac{5}{3};-\sinh ^2(c+d x)\right)}{4 b d \sqrt{\cosh ^2(c+d x)}}","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{4/3} \, _2F_1\left(\frac{1}{2},\frac{2}{3};\frac{5}{3};-\sinh ^2(c+d x)\right)}{4 b d \sqrt{\cosh ^2(c+d x)}}",1,"(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 2/3, 5/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(4/3))/(4*b*d*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
34,1,60,0,0.0149039,"\int \frac{1}{\sqrt[3]{b \sinh (c+d x)}} \, dx","Int[(b*Sinh[c + d*x])^(-1/3),x]","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{2/3} \, _2F_1\left(\frac{1}{3},\frac{1}{2};\frac{4}{3};-\sinh ^2(c+d x)\right)}{2 b d \sqrt{\cosh ^2(c+d x)}}","\frac{3 \cosh (c+d x) (b \sinh (c+d x))^{2/3} \, _2F_1\left(\frac{1}{3},\frac{1}{2};\frac{4}{3};-\sinh ^2(c+d x)\right)}{2 b d \sqrt{\cosh ^2(c+d x)}}",1,"(3*Cosh[c + d*x]*Hypergeometric2F1[1/3, 1/2, 4/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(2/3))/(2*b*d*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
35,1,58,0,0.015846,"\int \frac{1}{(b \sinh (c+d x))^{2/3}} \, dx","Int[(b*Sinh[c + d*x])^(-2/3),x]","\frac{3 \cosh (c+d x) \sqrt[3]{b \sinh (c+d x)} \, _2F_1\left(\frac{1}{6},\frac{1}{2};\frac{7}{6};-\sinh ^2(c+d x)\right)}{b d \sqrt{\cosh ^2(c+d x)}}","\frac{3 \cosh (c+d x) \sqrt[3]{b \sinh (c+d x)} \, _2F_1\left(\frac{1}{6},\frac{1}{2};\frac{7}{6};-\sinh ^2(c+d x)\right)}{b d \sqrt{\cosh ^2(c+d x)}}",1,"(3*Cosh[c + d*x]*Hypergeometric2F1[1/6, 1/2, 7/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))/(b*d*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
36,1,58,0,0.0154207,"\int \frac{1}{(b \sinh (c+d x))^{4/3}} \, dx","Int[(b*Sinh[c + d*x])^(-4/3),x]","-\frac{3 \cosh (c+d x) \, _2F_1\left(-\frac{1}{6},\frac{1}{2};\frac{5}{6};-\sinh ^2(c+d x)\right)}{b d \sqrt{\cosh ^2(c+d x)} \sqrt[3]{b \sinh (c+d x)}}","-\frac{3 \cosh (c+d x) \, _2F_1\left(-\frac{1}{6},\frac{1}{2};\frac{5}{6};-\sinh ^2(c+d x)\right)}{b d \sqrt{\cosh ^2(c+d x)} \sqrt[3]{b \sinh (c+d x)}}",1,"(-3*Cosh[c + d*x]*Hypergeometric2F1[-1/6, 1/2, 5/6, -Sinh[c + d*x]^2])/(b*d*Sqrt[Cosh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))","A",1,1,12,0.08333,1,"{2643}"
37,1,70,0,0.0193254,"\int (b \sinh (c+d x))^n \, dx","Int[(b*Sinh[c + d*x])^n,x]","\frac{\cosh (c+d x) (b \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{b d (n+1) \sqrt{\cosh ^2(c+d x)}}","\frac{\cosh (c+d x) (b \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{b d (n+1) \sqrt{\cosh ^2(c+d x)}}",1,"(Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1 + n))/(b*d*(1 + n)*Sqrt[Cosh[c + d*x]^2])","A",1,1,10,0.1000,1,"{2643}"
38,1,72,0,0.0154995,"\int (i \sinh (c+d x))^n \, dx","Int[(I*Sinh[c + d*x])^n,x]","-\frac{i \cosh (c+d x) (i \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{d (n+1) \sqrt{\cosh ^2(c+d x)}}","-\frac{i \cosh (c+d x) (i \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{d (n+1) \sqrt{\cosh ^2(c+d x)}}",1,"((-I)*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(I*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
39,1,72,0,0.0157407,"\int (-i \sinh (c+d x))^n \, dx","Int[((-I)*Sinh[c + d*x])^n,x]","\frac{i \cosh (c+d x) (-i \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{d (n+1) \sqrt{\cosh ^2(c+d x)}}","\frac{i \cosh (c+d x) (-i \sinh (c+d x))^{n+1} \, _2F_1\left(\frac{1}{2},\frac{n+1}{2};\frac{n+3}{2};-\sinh ^2(c+d x)\right)}{d (n+1) \sqrt{\cosh ^2(c+d x)}}",1,"(I*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*((-I)*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])","A",1,1,12,0.08333,1,"{2643}"
40,1,46,0,0.065288,"\int \frac{\sinh ^4(x)}{i+\sinh (x)} \, dx","Int[Sinh[x]^4/(I + Sinh[x]),x]","\frac{3 i x}{2}+\frac{4 \cosh ^3(x)}{3}-4 \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{\sinh (x)+i}-\frac{3}{2} i \sinh (x) \cosh (x)","\frac{3 i x}{2}+\frac{4 \cosh ^3(x)}{3}-4 \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{\sinh (x)+i}-\frac{3}{2} i \sinh (x) \cosh (x)",1,"((3*I)/2)*x - 4*Cosh[x] + (4*Cosh[x]^3)/3 - ((3*I)/2)*Cosh[x]*Sinh[x] - (Cosh[x]*Sinh[x]^3)/(I + Sinh[x])","A",6,5,13,0.3846,1,"{2767, 2748, 2635, 8, 2633}"
41,1,36,0,0.0463383,"\int \frac{\sinh ^3(x)}{i+\sinh (x)} \, dx","Int[Sinh[x]^3/(I + Sinh[x]),x]","-\frac{3 x}{2}-2 i \cosh (x)-\frac{\sinh ^2(x) \cosh (x)}{\sinh (x)+i}+\frac{3}{2} \sinh (x) \cosh (x)","-\frac{3 x}{2}-2 i \cosh (x)-\frac{\sinh ^2(x) \cosh (x)}{\sinh (x)+i}+\frac{3}{2} \sinh (x) \cosh (x)",1,"(-3*x)/2 - (2*I)*Cosh[x] + (3*Cosh[x]*Sinh[x])/2 - (Cosh[x]*Sinh[x]^2)/(I + Sinh[x])","A",2,2,13,0.1538,1,"{2767, 2734}"
42,1,22,0,0.0589099,"\int \frac{\sinh ^2(x)}{i+\sinh (x)} \, dx","Int[Sinh[x]^2/(I + Sinh[x]),x]","-i x+\cosh (x)+\frac{i \cosh (x)}{\sinh (x)+i}","-i x+\cosh (x)+\frac{i \cosh (x)}{\sinh (x)+i}",1,"(-I)*x + Cosh[x] + (I*Cosh[x])/(I + Sinh[x])","A",3,3,13,0.2308,1,"{2746, 2735, 2648}"
43,1,14,0,0.0271906,"\int \frac{\sinh (x)}{i+\sinh (x)} \, dx","Int[Sinh[x]/(I + Sinh[x]),x]","x-\frac{\cosh (x)}{\sinh (x)+i}","x-\frac{\cosh (x)}{\sinh (x)+i}",1,"x - Cosh[x]/(I + Sinh[x])","A",2,2,11,0.1818,1,"{2735, 2648}"
44,1,19,0,0.0388776,"\int \frac{\text{csch}(x)}{i+\sinh (x)} \, dx","Int[Csch[x]/(I + Sinh[x]),x]","\frac{\cosh (x)}{\sinh (x)+i}+i \tanh ^{-1}(\cosh (x))","\frac{\cosh (x)}{\sinh (x)+i}+i \tanh ^{-1}(\cosh (x))",1,"I*ArcTanh[Cosh[x]] + Cosh[x]/(I + Sinh[x])","A",3,3,11,0.2727,1,"{2747, 2648, 3770}"
45,1,23,0,0.0584309,"\int \frac{\text{csch}^2(x)}{i+\sinh (x)} \, dx","Int[Csch[x]^2/(I + Sinh[x]),x]","2 i \coth (x)-\tanh ^{-1}(\cosh (x))+\frac{\coth (x)}{\sinh (x)+i}","2 i \coth (x)-\tanh ^{-1}(\cosh (x))+\frac{\coth (x)}{\sinh (x)+i}",1,"-ArcTanh[Cosh[x]] + (2*I)*Coth[x] + Coth[x]/(I + Sinh[x])","A",5,5,13,0.3846,1,"{2768, 2748, 3767, 8, 3770}"
46,1,37,0,0.073395,"\int \frac{\text{csch}^3(x)}{i+\sinh (x)} \, dx","Int[Csch[x]^3/(I + Sinh[x]),x]","-2 \coth (x)-\frac{3}{2} i \tanh ^{-1}(\cosh (x))+\frac{3}{2} i \coth (x) \text{csch}(x)+\frac{\coth (x) \text{csch}(x)}{\sinh (x)+i}","-2 \coth (x)-\frac{3}{2} i \tanh ^{-1}(\cosh (x))+\frac{3}{2} i \coth (x) \text{csch}(x)+\frac{\coth (x) \text{csch}(x)}{\sinh (x)+i}",1,"((-3*I)/2)*ArcTanh[Cosh[x]] - 2*Coth[x] + ((3*I)/2)*Coth[x]*Csch[x] + (Coth[x]*Csch[x])/(I + Sinh[x])","A",6,6,13,0.4615,1,"{2768, 2748, 3768, 3770, 3767, 8}"
47,1,47,0,0.0726019,"\int \frac{\text{csch}^4(x)}{i+\sinh (x)} \, dx","Int[Csch[x]^4/(I + Sinh[x]),x]","\frac{4}{3} i \coth ^3(x)-4 i \coth (x)+\frac{3}{2} \tanh ^{-1}(\cosh (x))-\frac{3}{2} \coth (x) \text{csch}(x)+\frac{\coth (x) \text{csch}^2(x)}{\sinh (x)+i}","\frac{4}{3} i \coth ^3(x)-4 i \coth (x)+\frac{3}{2} \tanh ^{-1}(\cosh (x))-\frac{3}{2} \coth (x) \text{csch}(x)+\frac{\coth (x) \text{csch}^2(x)}{\sinh (x)+i}",1,"(3*ArcTanh[Cosh[x]])/2 - (4*I)*Coth[x] + ((4*I)/3)*Coth[x]^3 - (3*Coth[x]*Csch[x])/2 + (Coth[x]*Csch[x]^2)/(I + Sinh[x])","A",6,5,13,0.3846,1,"{2768, 2748, 3767, 3768, 3770}"
48,1,58,0,0.1019361,"\int \frac{\sinh ^4(x)}{(i+\sinh (x))^2} \, dx","Int[Sinh[x]^4/(I + Sinh[x])^2,x]","-\frac{7 x}{2}-\frac{16}{3} i \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{3 (\sinh (x)+i)^2}-\frac{8 \sinh ^2(x) \cosh (x)}{3 (\sinh (x)+i)}+\frac{7}{2} \sinh (x) \cosh (x)","-\frac{7 x}{2}-\frac{16}{3} i \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{3 (\sinh (x)+i)^2}-\frac{8 \sinh ^2(x) \cosh (x)}{3 (\sinh (x)+i)}+\frac{7}{2} \sinh (x) \cosh (x)",1,"(-7*x)/2 - ((16*I)/3)*Cosh[x] + (7*Cosh[x]*Sinh[x])/2 - (Cosh[x]*Sinh[x]^3)/(3*(I + Sinh[x])^2) - (8*Cosh[x]*Sinh[x]^2)/(3*(I + Sinh[x]))","A",3,3,13,0.2308,1,"{2765, 2977, 2734}"
49,1,44,0,0.1294889,"\int \frac{\sinh ^3(x)}{(i+\sinh (x))^2} \, dx","Int[Sinh[x]^3/(I + Sinh[x])^2,x]","-2 i x+\frac{4 \cosh (x)}{3}-\frac{\sinh ^2(x) \cosh (x)}{3 (\sinh (x)+i)^2}+\frac{2 i \cosh (x)}{\sinh (x)+i}","-2 i x+\frac{4 \cosh (x)}{3}-\frac{\sinh ^2(x) \cosh (x)}{3 (\sinh (x)+i)^2}+\frac{2 i \cosh (x)}{\sinh (x)+i}",1,"(-2*I)*x + (4*Cosh[x])/3 - (Cosh[x]*Sinh[x]^2)/(3*(I + Sinh[x])^2) + ((2*I)*Cosh[x])/(I + Sinh[x])","A",6,6,13,0.4615,1,"{2765, 2968, 3023, 12, 2735, 2648}"
50,1,32,0,0.0609489,"\int \frac{\sinh ^2(x)}{(i+\sinh (x))^2} \, dx","Int[Sinh[x]^2/(I + Sinh[x])^2,x]","x-\frac{5 \cosh (x)}{3 (\sinh (x)+i)}+\frac{i \cosh (x)}{3 (\sinh (x)+i)^2}","x-\frac{5 \cosh (x)}{3 (\sinh (x)+i)}+\frac{i \cosh (x)}{3 (\sinh (x)+i)^2}",1,"x + ((I/3)*Cosh[x])/(I + Sinh[x])^2 - (5*Cosh[x])/(3*(I + Sinh[x]))","A",3,3,13,0.2308,1,"{2758, 2735, 2648}"
51,1,31,0,0.0295506,"\int \frac{\sinh (x)}{(i+\sinh (x))^2} \, dx","Int[Sinh[x]/(I + Sinh[x])^2,x]","-\frac{2 i \cosh (x)}{3 (\sinh (x)+i)}-\frac{\cosh (x)}{3 (\sinh (x)+i)^2}","-\frac{2 i \cosh (x)}{3 (\sinh (x)+i)}-\frac{\cosh (x)}{3 (\sinh (x)+i)^2}",1,"-Cosh[x]/(3*(I + Sinh[x])^2) - (((2*I)/3)*Cosh[x])/(I + Sinh[x])","A",2,2,11,0.1818,1,"{2750, 2648}"
52,1,34,0,0.0826279,"\int \frac{\text{csch}(x)}{(i+\sinh (x))^2} \, dx","Int[Csch[x]/(I + Sinh[x])^2,x]","-\frac{4 i \cosh (x)}{3 (\sinh (x)+i)}+\frac{\cosh (x)}{3 (\sinh (x)+i)^2}+\tanh ^{-1}(\cosh (x))","-\frac{4 i \cosh (x)}{3 (\sinh (x)+i)}+\frac{\cosh (x)}{3 (\sinh (x)+i)^2}+\tanh ^{-1}(\cosh (x))",1,"ArcTanh[Cosh[x]] + Cosh[x]/(3*(I + Sinh[x])^2) - (((4*I)/3)*Cosh[x])/(I + Sinh[x])","A",4,4,11,0.3636,1,"{2766, 2978, 12, 3770}"
53,1,42,0,0.1173216,"\int \frac{\text{csch}^2(x)}{(i+\sinh (x))^2} \, dx","Int[Csch[x]^2/(I + Sinh[x])^2,x]","\frac{10 \coth (x)}{3}+2 i \tanh ^{-1}(\cosh (x))-\frac{2 i \coth (x)}{\sinh (x)+i}+\frac{\coth (x)}{3 (\sinh (x)+i)^2}","\frac{10 \coth (x)}{3}+2 i \tanh ^{-1}(\cosh (x))-\frac{2 i \coth (x)}{\sinh (x)+i}+\frac{\coth (x)}{3 (\sinh (x)+i)^2}",1,"(2*I)*ArcTanh[Cosh[x]] + (10*Coth[x])/3 + Coth[x]/(3*(I + Sinh[x])^2) - ((2*I)*Coth[x])/(I + Sinh[x])","A",6,6,13,0.4615,1,"{2766, 2978, 2748, 3767, 8, 3770}"
54,1,58,0,0.1396868,"\int \frac{\text{csch}^3(x)}{(i+\sinh (x))^2} \, dx","Int[Csch[x]^3/(I + Sinh[x])^2,x]","\frac{16}{3} i \coth (x)-\frac{7}{2} \tanh ^{-1}(\cosh (x))+\frac{7}{2} \coth (x) \text{csch}(x)-\frac{8 i \coth (x) \text{csch}(x)}{3 (\sinh (x)+i)}+\frac{\coth (x) \text{csch}(x)}{3 (\sinh (x)+i)^2}","\frac{16}{3} i \coth (x)-\frac{7}{2} \tanh ^{-1}(\cosh (x))+\frac{7}{2} \coth (x) \text{csch}(x)-\frac{8 i \coth (x) \text{csch}(x)}{3 (\sinh (x)+i)}+\frac{\coth (x) \text{csch}(x)}{3 (\sinh (x)+i)^2}",1,"(-7*ArcTanh[Cosh[x]])/2 + ((16*I)/3)*Coth[x] + (7*Coth[x]*Csch[x])/2 + (Coth[x]*Csch[x])/(3*(I + Sinh[x])^2) - (((8*I)/3)*Coth[x]*Csch[x])/(I + Sinh[x])","A",7,7,13,0.5385,1,"{2766, 2978, 2748, 3768, 3770, 3767, 8}"
55,1,64,0,0.1309316,"\int \frac{\text{csch}^4(x)}{(i+\sinh (x))^2} \, dx","Int[Csch[x]^4/(I + Sinh[x])^2,x]","4 \coth ^3(x)-12 \coth (x)-5 i \tanh ^{-1}(\cosh (x))+5 i \coth (x) \text{csch}(x)-\frac{10 i \coth (x) \text{csch}^2(x)}{3 (\sinh (x)+i)}+\frac{\coth (x) \text{csch}^2(x)}{3 (\sinh (x)+i)^2}","4 \coth ^3(x)-12 \coth (x)-5 i \tanh ^{-1}(\cosh (x))+5 i \coth (x) \text{csch}(x)-\frac{10 i \coth (x) \text{csch}^2(x)}{3 (\sinh (x)+i)}+\frac{\coth (x) \text{csch}^2(x)}{3 (\sinh (x)+i)^2}",1,"(-5*I)*ArcTanh[Cosh[x]] - 12*Coth[x] + 4*Coth[x]^3 + (5*I)*Coth[x]*Csch[x] + (Coth[x]*Csch[x]^2)/(3*(I + Sinh[x])^2) - (((10*I)/3)*Coth[x]*Csch[x]^2)/(I + Sinh[x])","A",7,6,13,0.4615,1,"{2766, 2978, 2748, 3767, 3768, 3770}"
56,1,27,0,0.0113079,"\int \frac{1}{1+i \sinh (c+d x)} \, dx","Int[(1 + I*Sinh[c + d*x])^(-1),x]","\frac{i \cosh (c+d x)}{d (1+i \sinh (c+d x))}","\frac{i \cosh (c+d x)}{d (1+i \sinh (c+d x))}",1,"(I*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))","A",1,1,14,0.07143,1,"{2648}"
57,1,59,0,0.0263944,"\int \frac{1}{(1+i \sinh (c+d x))^2} \, dx","Int[(1 + I*Sinh[c + d*x])^(-2),x]","\frac{i \cosh (c+d x)}{3 d (1+i \sinh (c+d x))}+\frac{i \cosh (c+d x)}{3 d (1+i \sinh (c+d x))^2}","\frac{i \cosh (c+d x)}{3 d (1+i \sinh (c+d x))}+\frac{i \cosh (c+d x)}{3 d (1+i \sinh (c+d x))^2}",1,"((I/3)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^2) + ((I/3)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))","A",2,2,14,0.1429,1,"{2650, 2648}"
58,1,88,0,0.0416327,"\int \frac{1}{(1+i \sinh (c+d x))^3} \, dx","Int[(1 + I*Sinh[c + d*x])^(-3),x]","\frac{2 i \cosh (c+d x)}{15 d (1+i \sinh (c+d x))}+\frac{2 i \cosh (c+d x)}{15 d (1+i \sinh (c+d x))^2}+\frac{i \cosh (c+d x)}{5 d (1+i \sinh (c+d x))^3}","\frac{2 i \cosh (c+d x)}{15 d (1+i \sinh (c+d x))}+\frac{2 i \cosh (c+d x)}{15 d (1+i \sinh (c+d x))^2}+\frac{i \cosh (c+d x)}{5 d (1+i \sinh (c+d x))^3}",1,"((I/5)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^3) + (((2*I)/15)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^2) + (((2*I)/15)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))","A",3,2,14,0.1429,1,"{2650, 2648}"
59,1,117,0,0.0596243,"\int \frac{1}{(1+i \sinh (c+d x))^4} \, dx","Int[(1 + I*Sinh[c + d*x])^(-4),x]","\frac{2 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))}+\frac{2 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))^2}+\frac{3 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))^3}+\frac{i \cosh (c+d x)}{7 d (1+i \sinh (c+d x))^4}","\frac{2 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))}+\frac{2 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))^2}+\frac{3 i \cosh (c+d x)}{35 d (1+i \sinh (c+d x))^3}+\frac{i \cosh (c+d x)}{7 d (1+i \sinh (c+d x))^4}",1,"((I/7)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^4) + (((3*I)/35)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^3) + (((2*I)/35)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x])^2) + (((2*I)/35)*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))","A",4,2,14,0.1429,1,"{2650, 2648}"
60,1,27,0,0.0120213,"\int \frac{1}{1-i \sinh (c+d x)} \, dx","Int[(1 - I*Sinh[c + d*x])^(-1),x]","-\frac{i \cosh (c+d x)}{d (1-i \sinh (c+d x))}","-\frac{i \cosh (c+d x)}{d (1-i \sinh (c+d x))}",1,"((-I)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))","A",1,1,14,0.07143,1,"{2648}"
61,1,59,0,0.0272801,"\int \frac{1}{(1-i \sinh (c+d x))^2} \, dx","Int[(1 - I*Sinh[c + d*x])^(-2),x]","-\frac{i \cosh (c+d x)}{3 d (1-i \sinh (c+d x))}-\frac{i \cosh (c+d x)}{3 d (1-i \sinh (c+d x))^2}","-\frac{i \cosh (c+d x)}{3 d (1-i \sinh (c+d x))}-\frac{i \cosh (c+d x)}{3 d (1-i \sinh (c+d x))^2}",1,"((-I/3)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^2) - ((I/3)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))","A",2,2,14,0.1429,1,"{2650, 2648}"
62,1,88,0,0.0418598,"\int \frac{1}{(1-i \sinh (c+d x))^3} \, dx","Int[(1 - I*Sinh[c + d*x])^(-3),x]","-\frac{2 i \cosh (c+d x)}{15 d (1-i \sinh (c+d x))}-\frac{2 i \cosh (c+d x)}{15 d (1-i \sinh (c+d x))^2}-\frac{i \cosh (c+d x)}{5 d (1-i \sinh (c+d x))^3}","-\frac{2 i \cosh (c+d x)}{15 d (1-i \sinh (c+d x))}-\frac{2 i \cosh (c+d x)}{15 d (1-i \sinh (c+d x))^2}-\frac{i \cosh (c+d x)}{5 d (1-i \sinh (c+d x))^3}",1,"((-I/5)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^3) - (((2*I)/15)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^2) - (((2*I)/15)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))","A",3,2,14,0.1429,1,"{2650, 2648}"
63,1,117,0,0.0599475,"\int \frac{1}{(1-i \sinh (c+d x))^4} \, dx","Int[(1 - I*Sinh[c + d*x])^(-4),x]","-\frac{2 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))}-\frac{2 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))^2}-\frac{3 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))^3}-\frac{i \cosh (c+d x)}{7 d (1-i \sinh (c+d x))^4}","-\frac{2 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))}-\frac{2 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))^2}-\frac{3 i \cosh (c+d x)}{35 d (1-i \sinh (c+d x))^3}-\frac{i \cosh (c+d x)}{7 d (1-i \sinh (c+d x))^4}",1,"((-I/7)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^4) - (((3*I)/35)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^3) - (((2*I)/35)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x])^2) - (((2*I)/35)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))","A",4,2,14,0.1429,1,"{2650, 2648}"
64,1,57,0,0.0559671,"\int \frac{\sinh (x)}{\sqrt{a+i a \sinh (x)}} \, dx","Int[Sinh[x]/Sqrt[a + I*a*Sinh[x]],x]","\frac{2 \cosh (x)}{\sqrt{a+i a \sinh (x)}}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{\sqrt{a}}","\frac{2 \cosh (x)}{\sqrt{a+i a \sinh (x)}}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{\sqrt{a}}",1,"-((Sqrt[2]*ArcTanh[(Sqrt[a]*Cosh[x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[x]])])/Sqrt[a]) + (2*Cosh[x])/Sqrt[a + I*a*Sinh[x]]","A",3,3,16,0.1875,1,"{2751, 2649, 206}"
65,1,57,0,0.0557816,"\int \frac{\sinh (x)}{\sqrt{a-i a \sinh (x)}} \, dx","Int[Sinh[x]/Sqrt[a - I*a*Sinh[x]],x]","\frac{2 \cosh (x)}{\sqrt{a-i a \sinh (x)}}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a-i a \sinh (x)}}\right)}{\sqrt{a}}","\frac{2 \cosh (x)}{\sqrt{a-i a \sinh (x)}}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a-i a \sinh (x)}}\right)}{\sqrt{a}}",1,"-((Sqrt[2]*ArcTanh[(Sqrt[a]*Cosh[x])/(Sqrt[2]*Sqrt[a - I*a*Sinh[x]])])/Sqrt[a]) + (2*Cosh[x])/Sqrt[a - I*a*Sinh[x]]","A",3,3,16,0.1875,1,"{2751, 2649, 206}"
66,1,104,0,0.0531309,"\int (a+i a \sinh (c+d x))^{5/2} \, dx","Int[(a + I*a*Sinh[c + d*x])^(5/2),x]","\frac{64 i a^3 \cosh (c+d x)}{15 d \sqrt{a+i a \sinh (c+d x)}}+\frac{16 i a^2 \cosh (c+d x) \sqrt{a+i a \sinh (c+d x)}}{15 d}+\frac{2 i a \cosh (c+d x) (a+i a \sinh (c+d x))^{3/2}}{5 d}","\frac{64 i a^3 \cosh (c+d x)}{15 d \sqrt{a+i a \sinh (c+d x)}}+\frac{16 i a^2 \cosh (c+d x) \sqrt{a+i a \sinh (c+d x)}}{15 d}+\frac{2 i a \cosh (c+d x) (a+i a \sinh (c+d x))^{3/2}}{5 d}",1,"(((64*I)/15)*a^3*Cosh[c + d*x])/(d*Sqrt[a + I*a*Sinh[c + d*x]]) + (((16*I)/15)*a^2*Cosh[c + d*x]*Sqrt[a + I*a*Sinh[c + d*x]])/d + (((2*I)/5)*a*Cosh[c + d*x]*(a + I*a*Sinh[c + d*x])^(3/2))/d","A",3,2,17,0.1176,1,"{2647, 2646}"
67,1,69,0,0.031358,"\int (a+i a \sinh (c+d x))^{3/2} \, dx","Int[(a + I*a*Sinh[c + d*x])^(3/2),x]","\frac{8 i a^2 \cosh (c+d x)}{3 d \sqrt{a+i a \sinh (c+d x)}}+\frac{2 i a \cosh (c+d x) \sqrt{a+i a \sinh (c+d x)}}{3 d}","\frac{8 i a^2 \cosh (c+d x)}{3 d \sqrt{a+i a \sinh (c+d x)}}+\frac{2 i a \cosh (c+d x) \sqrt{a+i a \sinh (c+d x)}}{3 d}",1,"(((8*I)/3)*a^2*Cosh[c + d*x])/(d*Sqrt[a + I*a*Sinh[c + d*x]]) + (((2*I)/3)*a*Cosh[c + d*x]*Sqrt[a + I*a*Sinh[c + d*x]])/d","A",2,2,17,0.1176,1,"{2647, 2646}"
68,1,31,0,0.0139036,"\int \sqrt{a+i a \sinh (c+d x)} \, dx","Int[Sqrt[a + I*a*Sinh[c + d*x]],x]","\frac{2 i a \cosh (c+d x)}{d \sqrt{a+i a \sinh (c+d x)}}","\frac{2 i a \cosh (c+d x)}{d \sqrt{a+i a \sinh (c+d x)}}",1,"((2*I)*a*Cosh[c + d*x])/(d*Sqrt[a + I*a*Sinh[c + d*x]])","A",1,1,17,0.05882,1,"{2646}"
69,1,52,0,0.0243704,"\int \frac{1}{\sqrt{a+i a \sinh (c+d x)}} \, dx","Int[1/Sqrt[a + I*a*Sinh[c + d*x]],x]","\frac{i \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{\sqrt{a} d}","\frac{i \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{\sqrt{a} d}",1,"(I*Sqrt[2]*ArcTanh[(Sqrt[a]*Cosh[c + d*x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[c + d*x]])])/(Sqrt[a]*d)","A",2,2,17,0.1176,1,"{2649, 206}"
70,1,87,0,0.044912,"\int \frac{1}{(a+i a \sinh (c+d x))^{3/2}} \, dx","Int[(a + I*a*Sinh[c + d*x])^(-3/2),x]","\frac{i \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{2 \sqrt{2} a^{3/2} d}+\frac{i \cosh (c+d x)}{2 d (a+i a \sinh (c+d x))^{3/2}}","\frac{i \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{2 \sqrt{2} a^{3/2} d}+\frac{i \cosh (c+d x)}{2 d (a+i a \sinh (c+d x))^{3/2}}",1,"((I/2)*ArcTanh[(Sqrt[a]*Cosh[c + d*x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[c + d*x]])])/(Sqrt[2]*a^(3/2)*d) + ((I/2)*Cosh[c + d*x])/(d*(a + I*a*Sinh[c + d*x])^(3/2))","A",3,3,17,0.1765,1,"{2650, 2649, 206}"
71,1,122,0,0.0681726,"\int \frac{1}{(a+i a \sinh (c+d x))^{5/2}} \, dx","Int[(a + I*a*Sinh[c + d*x])^(-5/2),x]","\frac{3 i \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{16 \sqrt{2} a^{5/2} d}+\frac{3 i \cosh (c+d x)}{16 a d (a+i a \sinh (c+d x))^{3/2}}+\frac{i \cosh (c+d x)}{4 d (a+i a \sinh (c+d x))^{5/2}}","\frac{3 i \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (c+d x)}{\sqrt{2} \sqrt{a+i a \sinh (c+d x)}}\right)}{16 \sqrt{2} a^{5/2} d}+\frac{3 i \cosh (c+d x)}{16 a d (a+i a \sinh (c+d x))^{3/2}}+\frac{i \cosh (c+d x)}{4 d (a+i a \sinh (c+d x))^{5/2}}",1,"(((3*I)/16)*ArcTanh[(Sqrt[a]*Cosh[c + d*x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[c + d*x]])])/(Sqrt[2]*a^(5/2)*d) + ((I/4)*Cosh[c + d*x])/(d*(a + I*a*Sinh[c + d*x])^(5/2)) + (((3*I)/16)*Cosh[c + d*x])/(a*d*(a + I*a*Sinh[c + d*x])^(3/2))","A",4,3,17,0.1765,1,"{2650, 2649, 206}"
72,1,108,0,0.31549,"\int \frac{\sinh ^4(x)}{a+b \sinh (x)} \, dx","Int[Sinh[x]^4/(a + b*Sinh[x]),x]","-\frac{a x \left(2 a^2-b^2\right)}{2 b^4}-\frac{\left(2-\frac{3 a^2}{b^2}\right) \cosh (x)}{3 b}-\frac{2 a^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \sqrt{a^2+b^2}}-\frac{a \sinh (x) \cosh (x)}{2 b^2}+\frac{\sinh ^2(x) \cosh (x)}{3 b}","-\frac{a x \left(2 a^2-b^2\right)}{2 b^4}-\frac{\left(2-\frac{3 a^2}{b^2}\right) \cosh (x)}{3 b}-\frac{2 a^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \sqrt{a^2+b^2}}-\frac{a \sinh (x) \cosh (x)}{2 b^2}+\frac{\sinh ^2(x) \cosh (x)}{3 b}",1,"-(a*(2*a^2 - b^2)*x)/(2*b^4) - (2*a^4*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^4*Sqrt[a^2 + b^2]) - ((2 - (3*a^2)/b^2)*Cosh[x])/(3*b) - (a*Cosh[x]*Sinh[x])/(2*b^2) + (Cosh[x]*Sinh[x]^2)/(3*b)","A",7,7,13,0.5385,1,"{2793, 3049, 3023, 2735, 2660, 618, 206}"
73,1,82,0,0.1847489,"\int \frac{\sinh ^3(x)}{a+b \sinh (x)} \, dx","Int[Sinh[x]^3/(a + b*Sinh[x]),x]","\frac{x \left(2 a^2-b^2\right)}{2 b^3}+\frac{2 a^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \sqrt{a^2+b^2}}-\frac{a \cosh (x)}{b^2}+\frac{\sinh (x) \cosh (x)}{2 b}","\frac{x \left(2 a^2-b^2\right)}{2 b^3}+\frac{2 a^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \sqrt{a^2+b^2}}-\frac{a \cosh (x)}{b^2}+\frac{\sinh (x) \cosh (x)}{2 b}",1,"((2*a^2 - b^2)*x)/(2*b^3) + (2*a^3*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^3*Sqrt[a^2 + b^2]) - (a*Cosh[x])/b^2 + (Cosh[x]*Sinh[x])/(2*b)","A",6,6,13,0.4615,1,"{2793, 3023, 2735, 2660, 618, 206}"
74,1,57,0,0.1161126,"\int \frac{\sinh ^2(x)}{a+b \sinh (x)} \, dx","Int[Sinh[x]^2/(a + b*Sinh[x]),x]","-\frac{2 a^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{a x}{b^2}+\frac{\cosh (x)}{b}","-\frac{2 a^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{a x}{b^2}+\frac{\cosh (x)}{b}",1,"-((a*x)/b^2) - (2*a^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^2*Sqrt[a^2 + b^2]) + Cosh[x]/b","A",6,6,13,0.4615,1,"{2746, 12, 2735, 2660, 618, 206}"
75,1,47,0,0.0608682,"\int \frac{\sinh (x)}{a+b \sinh (x)} \, dx","Int[Sinh[x]/(a + b*Sinh[x]),x]","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}+\frac{x}{b}","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}+\frac{x}{b}",1,"x/b + (2*a*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b*Sqrt[a^2 + b^2])","A",4,4,11,0.3636,1,"{2735, 2660, 618, 206}"
76,1,50,0,0.0756402,"\int \frac{\text{csch}(x)}{a+b \sinh (x)} \, dx","Int[Csch[x]/(a + b*Sinh[x]),x]","\frac{2 b \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \sqrt{a^2+b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{a}","\frac{2 b \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \sqrt{a^2+b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{a}",1,"-(ArcTanh[Cosh[x]]/a) + (2*b*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*Sqrt[a^2 + b^2])","A",5,5,11,0.4545,1,"{2747, 3770, 2660, 618, 206}"
77,1,59,0,0.1211374,"\int \frac{\text{csch}^2(x)}{a+b \sinh (x)} \, dx","Int[Csch[x]^2/(a + b*Sinh[x]),x]","-\frac{2 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \sqrt{a^2+b^2}}+\frac{b \tanh ^{-1}(\cosh (x))}{a^2}-\frac{\coth (x)}{a}","-\frac{2 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \sqrt{a^2+b^2}}+\frac{b \tanh ^{-1}(\cosh (x))}{a^2}-\frac{\coth (x)}{a}",1,"(b*ArcTanh[Cosh[x]])/a^2 - (2*b^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2*Sqrt[a^2 + b^2]) - Coth[x]/a","A",7,7,13,0.5385,1,"{2802, 12, 2747, 3770, 2660, 618, 206}"
78,1,81,0,0.3179498,"\int \frac{\text{csch}^3(x)}{a+b \sinh (x)} \, dx","Int[Csch[x]^3/(a + b*Sinh[x]),x]","\frac{2 b^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}+\frac{\left(a^2-2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^3}+\frac{b \coth (x)}{a^2}-\frac{\coth (x) \text{csch}(x)}{2 a}","\frac{2 b^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}+\frac{\left(a^2-2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^3}+\frac{b \coth (x)}{a^2}-\frac{\coth (x) \text{csch}(x)}{2 a}",1,"((a^2 - 2*b^2)*ArcTanh[Cosh[x]])/(2*a^3) + (2*b^3*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^3*Sqrt[a^2 + b^2]) + (b*Coth[x])/a^2 - (Coth[x]*Csch[x])/(2*a)","A",7,7,13,0.5385,1,"{2802, 3055, 3001, 3770, 2660, 618, 206}"
79,1,109,0,0.491286,"\int \frac{\text{csch}^4(x)}{a+b \sinh (x)} \, dx","Int[Csch[x]^4/(a + b*Sinh[x]),x]","-\frac{2 b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \sqrt{a^2+b^2}}+\frac{\left(2 a^2-3 b^2\right) \coth (x)}{3 a^3}-\frac{b \left(a^2-2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}+\frac{b \coth (x) \text{csch}(x)}{2 a^2}-\frac{\coth (x) \text{csch}^2(x)}{3 a}","-\frac{2 b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \sqrt{a^2+b^2}}+\frac{\left(2 a^2-3 b^2\right) \coth (x)}{3 a^3}-\frac{b \left(a^2-2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}+\frac{b \coth (x) \text{csch}(x)}{2 a^2}-\frac{\coth (x) \text{csch}^2(x)}{3 a}",1,"-(b*(a^2 - 2*b^2)*ArcTanh[Cosh[x]])/(2*a^4) - (2*b^4*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^4*Sqrt[a^2 + b^2]) + ((2*a^2 - 3*b^2)*Coth[x])/(3*a^3) + (b*Coth[x]*Csch[x])/(2*a^2) - (Coth[x]*Csch[x]^2)/(3*a)","A",8,7,13,0.5385,1,"{2802, 3055, 3001, 3770, 2660, 618, 206}"
80,1,162,0,0.4053372,"\int \frac{\sinh ^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Sinh[x]^4/(a + b*Sinh[x])^2,x]","\frac{x \left(6 a^2-b^2\right)}{2 b^4}-\frac{a \left(3 a^2+2 b^2\right) \cosh (x)}{b^3 \left(a^2+b^2\right)}+\frac{2 a^3 \left(3 a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \sinh ^2(x) \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\left(3 a^2+b^2\right) \sinh (x) \cosh (x)}{2 b^2 \left(a^2+b^2\right)}","\frac{x \left(6 a^2-b^2\right)}{2 b^4}-\frac{a \left(3 a^2+2 b^2\right) \cosh (x)}{b^3 \left(a^2+b^2\right)}+\frac{2 a^3 \left(3 a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \sinh ^2(x) \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\left(3 a^2+b^2\right) \sinh (x) \cosh (x)}{2 b^2 \left(a^2+b^2\right)}",1,"((6*a^2 - b^2)*x)/(2*b^4) + (2*a^3*(3*a^2 + 4*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^4*(a^2 + b^2)^(3/2)) - (a*(3*a^2 + 2*b^2)*Cosh[x])/(b^3*(a^2 + b^2)) + ((3*a^2 + b^2)*Cosh[x]*Sinh[x])/(2*b^2*(a^2 + b^2)) - (a^2*Cosh[x]*Sinh[x]^2)/(b*(a^2 + b^2)*(a + b*Sinh[x]))","A",7,7,13,0.5385,1,"{2792, 3049, 3023, 2735, 2660, 618, 206}"
81,1,115,0,0.2384547,"\int \frac{\sinh ^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Sinh[x]^3/(a + b*Sinh[x])^2,x]","\frac{\left(2 a^2+b^2\right) \cosh (x)}{b^2 \left(a^2+b^2\right)}-\frac{2 a^2 \left(2 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \sinh (x) \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{2 a x}{b^3}","\frac{\left(2 a^2+b^2\right) \cosh (x)}{b^2 \left(a^2+b^2\right)}-\frac{2 a^2 \left(2 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \sinh (x) \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{2 a x}{b^3}",1,"(-2*a*x)/b^3 - (2*a^2*(2*a^2 + 3*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^3*(a^2 + b^2)^(3/2)) + ((2*a^2 + b^2)*Cosh[x])/(b^2*(a^2 + b^2)) - (a^2*Cosh[x]*Sinh[x])/(b*(a^2 + b^2)*(a + b*Sinh[x]))","A",6,6,13,0.4615,1,"{2792, 3023, 2735, 2660, 618, 206}"
82,1,83,0,0.1335049,"\int \frac{\sinh ^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Sinh[x]^2/(a + b*Sinh[x])^2,x]","\frac{2 a \left(a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{x}{b^2}","\frac{2 a \left(a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \left(a^2+b^2\right)^{3/2}}-\frac{a^2 \cosh (x)}{b \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{x}{b^2}",1,"x/b^2 + (2*a*(a^2 + 2*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^2*(a^2 + b^2)^(3/2)) - (a^2*Cosh[x])/(b*(a^2 + b^2)*(a + b*Sinh[x]))","A",5,5,13,0.3846,1,"{2790, 2735, 2660, 618, 206}"
83,1,60,0,0.0737309,"\int \frac{\sinh (x)}{(a+b \sinh (x))^2} \, dx","Int[Sinh[x]/(a + b*Sinh[x])^2,x]","\frac{a \cosh (x)}{\left(a^2+b^2\right) (a+b \sinh (x))}-\frac{2 b \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}","\frac{a \cosh (x)}{\left(a^2+b^2\right) (a+b \sinh (x))}-\frac{2 b \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}",1,"(-2*b*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(3/2) + (a*Cosh[x])/((a^2 + b^2)*(a + b*Sinh[x]))","A",5,5,11,0.4545,1,"{2754, 12, 2660, 618, 206}"
84,1,85,0,0.2156878,"\int \frac{\text{csch}(x)}{(a+b \sinh (x))^2} \, dx","Int[Csch[x]/(a + b*Sinh[x])^2,x]","\frac{2 b \left(2 a^2+b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \left(a^2+b^2\right)^{3/2}}+\frac{b^2 \cosh (x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\tanh ^{-1}(\cosh (x))}{a^2}","\frac{2 b \left(2 a^2+b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \left(a^2+b^2\right)^{3/2}}+\frac{b^2 \cosh (x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\tanh ^{-1}(\cosh (x))}{a^2}",1,"-(ArcTanh[Cosh[x]]/a^2) + (2*b*(2*a^2 + b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2*(a^2 + b^2)^(3/2)) + (b^2*Cosh[x])/(a*(a^2 + b^2)*(a + b*Sinh[x]))","A",6,6,11,0.5455,1,"{2802, 3001, 3770, 2660, 618, 206}"
85,1,115,0,0.3719793,"\int \frac{\text{csch}^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Csch[x]^2/(a + b*Sinh[x])^2,x]","-\frac{2 b^2 \left(3 a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \left(a^2+b^2\right)^{3/2}}-\frac{\left(a^2+2 b^2\right) \coth (x)}{a^2 \left(a^2+b^2\right)}+\frac{b^2 \coth (x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{2 b \tanh ^{-1}(\cosh (x))}{a^3}","-\frac{2 b^2 \left(3 a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \left(a^2+b^2\right)^{3/2}}-\frac{\left(a^2+2 b^2\right) \coth (x)}{a^2 \left(a^2+b^2\right)}+\frac{b^2 \coth (x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}+\frac{2 b \tanh ^{-1}(\cosh (x))}{a^3}",1,"(2*b*ArcTanh[Cosh[x]])/a^3 - (2*b^2*(3*a^2 + 2*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^3*(a^2 + b^2)^(3/2)) - ((a^2 + 2*b^2)*Coth[x])/(a^2*(a^2 + b^2)) + (b^2*Coth[x])/(a*(a^2 + b^2)*(a + b*Sinh[x]))","A",7,7,13,0.5385,1,"{2802, 3055, 3001, 3770, 2660, 618, 206}"
86,1,158,0,0.6752456,"\int \frac{\text{csch}^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Csch[x]^3/(a + b*Sinh[x])^2,x]","\frac{2 b^3 \left(4 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \left(a^2+b^2\right)^{3/2}}+\frac{b \left(2 a^2+3 b^2\right) \coth (x)}{a^3 \left(a^2+b^2\right)}+\frac{\left(a^2-6 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}-\frac{\left(a^2+3 b^2\right) \coth (x) \text{csch}(x)}{2 a^2 \left(a^2+b^2\right)}+\frac{b^2 \coth (x) \text{csch}(x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}","\frac{2 b^3 \left(4 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \left(a^2+b^2\right)^{3/2}}+\frac{b \left(2 a^2+3 b^2\right) \coth (x)}{a^3 \left(a^2+b^2\right)}+\frac{\left(a^2-6 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}-\frac{\left(a^2+3 b^2\right) \coth (x) \text{csch}(x)}{2 a^2 \left(a^2+b^2\right)}+\frac{b^2 \coth (x) \text{csch}(x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}",1,"((a^2 - 6*b^2)*ArcTanh[Cosh[x]])/(2*a^4) + (2*b^3*(4*a^2 + 3*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^4*(a^2 + b^2)^(3/2)) + (b*(2*a^2 + 3*b^2)*Coth[x])/(a^3*(a^2 + b^2)) - ((a^2 + 3*b^2)*Coth[x]*Csch[x])/(2*a^2*(a^2 + b^2)) + (b^2*Coth[x]*Csch[x])/(a*(a^2 + b^2)*(a + b*Sinh[x]))","A",8,7,13,0.5385,1,"{2802, 3055, 3001, 3770, 2660, 618, 206}"
87,1,198,0,0.8837863,"\int \frac{\text{csch}^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Csch[x]^4/(a + b*Sinh[x])^2,x]","-\frac{2 b^4 \left(5 a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5 \left(a^2+b^2\right)^{3/2}}+\frac{\left(-7 a^2 b^2+2 a^4-12 b^4\right) \coth (x)}{3 a^4 \left(a^2+b^2\right)}-\frac{b \left(a^2-4 b^2\right) \tanh ^{-1}(\cosh (x))}{a^5}-\frac{\left(a^2+4 b^2\right) \coth (x) \text{csch}^2(x)}{3 a^2 \left(a^2+b^2\right)}+\frac{b \left(a^2+2 b^2\right) \coth (x) \text{csch}(x)}{a^3 \left(a^2+b^2\right)}+\frac{b^2 \coth (x) \text{csch}^2(x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}","-\frac{2 b^4 \left(5 a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5 \left(a^2+b^2\right)^{3/2}}+\frac{\left(-7 a^2 b^2+2 a^4-12 b^4\right) \coth (x)}{3 a^4 \left(a^2+b^2\right)}-\frac{b \left(a^2-4 b^2\right) \tanh ^{-1}(\cosh (x))}{a^5}-\frac{\left(a^2+4 b^2\right) \coth (x) \text{csch}^2(x)}{3 a^2 \left(a^2+b^2\right)}+\frac{b \left(a^2+2 b^2\right) \coth (x) \text{csch}(x)}{a^3 \left(a^2+b^2\right)}+\frac{b^2 \coth (x) \text{csch}^2(x)}{a \left(a^2+b^2\right) (a+b \sinh (x))}",1,"-((b*(a^2 - 4*b^2)*ArcTanh[Cosh[x]])/a^5) - (2*b^4*(5*a^2 + 4*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^5*(a^2 + b^2)^(3/2)) + ((2*a^4 - 7*a^2*b^2 - 12*b^4)*Coth[x])/(3*a^4*(a^2 + b^2)) + (b*(a^2 + 2*b^2)*Coth[x]*Csch[x])/(a^3*(a^2 + b^2)) - ((a^2 + 4*b^2)*Coth[x]*Csch[x]^2)/(3*a^2*(a^2 + b^2)) + (b^2*Coth[x]*Csch[x]^2)/(a*(a^2 + b^2)*(a + b*Sinh[x]))","A",9,7,13,0.5385,1,"{2802, 3055, 3001, 3770, 2660, 618, 206}"
88,1,73,0,0.0281812,"\int \frac{1}{3+5 i \sinh (c+d x)} \, dx","Int[(3 + (5*I)*Sinh[c + d*x])^(-1),x]","\frac{i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{4 d}-\frac{i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{4 d}","\frac{i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{4 d}-\frac{i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{4 d}",1,"((I/4)*Log[3*Cosh[(c + d*x)/2] + I*Sinh[(c + d*x)/2]])/d - ((I/4)*Log[Cosh[(c + d*x)/2] + (3*I)*Sinh[(c + d*x)/2]])/d","A",4,3,14,0.2143,1,"{2660, 616, 31}"
89,1,102,0,0.0508041,"\int \frac{1}{(3+5 i \sinh (c+d x))^2} \, dx","Int[(3 + (5*I)*Sinh[c + d*x])^(-2),x]","\frac{5 i \cosh (c+d x)}{16 d (3+5 i \sinh (c+d x))}-\frac{3 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{64 d}+\frac{3 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{64 d}","\frac{5 i \cosh (c+d x)}{16 d (3+5 i \sinh (c+d x))}-\frac{3 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{64 d}+\frac{3 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{64 d}",1,"(((-3*I)/64)*Log[3*Cosh[(c + d*x)/2] + I*Sinh[(c + d*x)/2]])/d + (((3*I)/64)*Log[Cosh[(c + d*x)/2] + (3*I)*Sinh[(c + d*x)/2]])/d + (((5*I)/16)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x]))","A",6,5,14,0.3571,1,"{2664, 12, 2660, 616, 31}"
90,1,131,0,0.0851339,"\int \frac{1}{(3+5 i \sinh (c+d x))^3} \, dx","Int[(3 + (5*I)*Sinh[c + d*x])^(-3),x]","-\frac{45 i \cosh (c+d x)}{512 d (3+5 i \sinh (c+d x))}+\frac{5 i \cosh (c+d x)}{32 d (3+5 i \sinh (c+d x))^2}+\frac{43 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{2048 d}-\frac{43 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{2048 d}","-\frac{45 i \cosh (c+d x)}{512 d (3+5 i \sinh (c+d x))}+\frac{5 i \cosh (c+d x)}{32 d (3+5 i \sinh (c+d x))^2}+\frac{43 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{2048 d}-\frac{43 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{2048 d}",1,"(((43*I)/2048)*Log[3*Cosh[(c + d*x)/2] + I*Sinh[(c + d*x)/2]])/d - (((43*I)/2048)*Log[Cosh[(c + d*x)/2] + (3*I)*Sinh[(c + d*x)/2]])/d + (((5*I)/32)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x])^2) - (((45*I)/512)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x]))","A",7,6,14,0.4286,1,"{2664, 2754, 12, 2660, 616, 31}"
91,1,160,0,0.1261193,"\int \frac{1}{(3+5 i \sinh (c+d x))^4} \, dx","Int[(3 + (5*I)*Sinh[c + d*x])^(-4),x]","\frac{995 i \cosh (c+d x)}{24576 d (3+5 i \sinh (c+d x))}-\frac{25 i \cosh (c+d x)}{512 d (3+5 i \sinh (c+d x))^2}+\frac{5 i \cosh (c+d x)}{48 d (3+5 i \sinh (c+d x))^3}-\frac{279 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{32768 d}+\frac{279 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{32768 d}","\frac{995 i \cosh (c+d x)}{24576 d (3+5 i \sinh (c+d x))}-\frac{25 i \cosh (c+d x)}{512 d (3+5 i \sinh (c+d x))^2}+\frac{5 i \cosh (c+d x)}{48 d (3+5 i \sinh (c+d x))^3}-\frac{279 i \log \left(3 \cosh \left(\frac{1}{2} (c+d x)\right)+i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{32768 d}+\frac{279 i \log \left(\cosh \left(\frac{1}{2} (c+d x)\right)+3 i \sinh \left(\frac{1}{2} (c+d x)\right)\right)}{32768 d}",1,"(((-279*I)/32768)*Log[3*Cosh[(c + d*x)/2] + I*Sinh[(c + d*x)/2]])/d + (((279*I)/32768)*Log[Cosh[(c + d*x)/2] + (3*I)*Sinh[(c + d*x)/2]])/d + (((5*I)/48)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x])^3) - (((25*I)/512)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x])^2) + (((995*I)/24576)*Cosh[c + d*x])/(d*(3 + (5*I)*Sinh[c + d*x]))","A",8,6,14,0.4286,1,"{2664, 2754, 12, 2660, 616, 31}"
92,1,37,0,0.0132772,"\int \frac{1}{5+3 i \sinh (c+d x)} \, dx","Int[(5 + (3*I)*Sinh[c + d*x])^(-1),x]","\frac{x}{4}-\frac{i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{2 d}","\frac{x}{4}-\frac{i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{2 d}",1,"x/4 - ((I/2)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d","A",1,1,14,0.07143,1,"{2657}"
93,1,66,0,0.0346976,"\int \frac{1}{(5+3 i \sinh (c+d x))^2} \, dx","Int[(5 + (3*I)*Sinh[c + d*x])^(-2),x]","-\frac{3 i \cosh (c+d x)}{16 d (5+3 i \sinh (c+d x))}-\frac{5 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{32 d}+\frac{5 x}{64}","-\frac{3 i \cosh (c+d x)}{16 d (5+3 i \sinh (c+d x))}-\frac{5 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{32 d}+\frac{5 x}{64}",1,"(5*x)/64 - (((5*I)/32)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d - (((3*I)/16)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x]))","A",3,3,14,0.2143,1,"{2664, 12, 2657}"
94,1,95,0,0.0674412,"\int \frac{1}{(5+3 i \sinh (c+d x))^3} \, dx","Int[(5 + (3*I)*Sinh[c + d*x])^(-3),x]","-\frac{45 i \cosh (c+d x)}{512 d (5+3 i \sinh (c+d x))}-\frac{3 i \cosh (c+d x)}{32 d (5+3 i \sinh (c+d x))^2}-\frac{59 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{1024 d}+\frac{59 x}{2048}","-\frac{45 i \cosh (c+d x)}{512 d (5+3 i \sinh (c+d x))}-\frac{3 i \cosh (c+d x)}{32 d (5+3 i \sinh (c+d x))^2}-\frac{59 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{1024 d}+\frac{59 x}{2048}",1,"(59*x)/2048 - (((59*I)/1024)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d - (((3*I)/32)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x])^2) - (((45*I)/512)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x]))","A",4,4,14,0.2857,1,"{2664, 2754, 12, 2657}"
95,1,124,0,0.1017507,"\int \frac{1}{(5+3 i \sinh (c+d x))^4} \, dx","Int[(5 + (3*I)*Sinh[c + d*x])^(-4),x]","-\frac{311 i \cosh (c+d x)}{8192 d (5+3 i \sinh (c+d x))}-\frac{25 i \cosh (c+d x)}{512 d (5+3 i \sinh (c+d x))^2}-\frac{i \cosh (c+d x)}{16 d (5+3 i \sinh (c+d x))^3}-\frac{385 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{16384 d}+\frac{385 x}{32768}","-\frac{311 i \cosh (c+d x)}{8192 d (5+3 i \sinh (c+d x))}-\frac{25 i \cosh (c+d x)}{512 d (5+3 i \sinh (c+d x))^2}-\frac{i \cosh (c+d x)}{16 d (5+3 i \sinh (c+d x))^3}-\frac{385 i \tan ^{-1}\left(\frac{\cosh (c+d x)}{3+i \sinh (c+d x)}\right)}{16384 d}+\frac{385 x}{32768}",1,"(385*x)/32768 - (((385*I)/16384)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d - ((I/16)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x])^3) - (((25*I)/512)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x])^2) - (((311*I)/8192)*Cosh[c + d*x])/(d*(5 + (3*I)*Sinh[c + d*x]))","A",5,4,14,0.2857,1,"{2664, 2754, 12, 2657}"
96,1,183,0,0.2734717,"\int (a+b \sinh (c+d x))^5 \, dx","Int[(a + b*Sinh[c + d*x])^5,x]","\frac{b \left(-192 a^2 b^2+107 a^4+16 b^4\right) \cosh (c+d x)}{30 d}+\frac{b \left(47 a^2-16 b^2\right) \cosh (c+d x) (a+b \sinh (c+d x))^2}{60 d}+\frac{7 a b^2 \left(22 a^2-23 b^2\right) \sinh (c+d x) \cosh (c+d x)}{120 d}+\frac{1}{8} a x \left(-40 a^2 b^2+8 a^4+15 b^4\right)+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^4}{5 d}+\frac{9 a b \cosh (c+d x) (a+b \sinh (c+d x))^3}{20 d}","\frac{b \left(-192 a^2 b^2+107 a^4+16 b^4\right) \cosh (c+d x)}{30 d}+\frac{b \left(47 a^2-16 b^2\right) \cosh (c+d x) (a+b \sinh (c+d x))^2}{60 d}+\frac{7 a b^2 \left(22 a^2-23 b^2\right) \sinh (c+d x) \cosh (c+d x)}{120 d}+\frac{1}{8} a x \left(-40 a^2 b^2+8 a^4+15 b^4\right)+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^4}{5 d}+\frac{9 a b \cosh (c+d x) (a+b \sinh (c+d x))^3}{20 d}",1,"(a*(8*a^4 - 40*a^2*b^2 + 15*b^4)*x)/8 + (b*(107*a^4 - 192*a^2*b^2 + 16*b^4)*Cosh[c + d*x])/(30*d) + (7*a*b^2*(22*a^2 - 23*b^2)*Cosh[c + d*x]*Sinh[c + d*x])/(120*d) + (b*(47*a^2 - 16*b^2)*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^2)/(60*d) + (9*a*b*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^3)/(20*d) + (b*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^4)/(5*d)","A",4,3,12,0.2500,1,"{2656, 2753, 2734}"
97,1,137,0,0.1557359,"\int (a+b \sinh (c+d x))^4 \, dx","Int[(a + b*Sinh[c + d*x])^4,x]","\frac{a b \left(19 a^2-16 b^2\right) \cosh (c+d x)}{6 d}+\frac{b^2 \left(26 a^2-9 b^2\right) \sinh (c+d x) \cosh (c+d x)}{24 d}+\frac{1}{8} x \left(-24 a^2 b^2+8 a^4+3 b^4\right)+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^3}{4 d}+\frac{7 a b \cosh (c+d x) (a+b \sinh (c+d x))^2}{12 d}","\frac{a b \left(19 a^2-16 b^2\right) \cosh (c+d x)}{6 d}+\frac{b^2 \left(26 a^2-9 b^2\right) \sinh (c+d x) \cosh (c+d x)}{24 d}+\frac{1}{8} x \left(-24 a^2 b^2+8 a^4+3 b^4\right)+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^3}{4 d}+\frac{7 a b \cosh (c+d x) (a+b \sinh (c+d x))^2}{12 d}",1,"((8*a^4 - 24*a^2*b^2 + 3*b^4)*x)/8 + (a*b*(19*a^2 - 16*b^2)*Cosh[c + d*x])/(6*d) + (b^2*(26*a^2 - 9*b^2)*Cosh[c + d*x]*Sinh[c + d*x])/(24*d) + (7*a*b*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^2)/(12*d) + (b*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^3)/(4*d)","A",3,3,12,0.2500,1,"{2656, 2753, 2734}"
98,1,92,0,0.0728995,"\int (a+b \sinh (c+d x))^3 \, dx","Int[(a + b*Sinh[c + d*x])^3,x]","\frac{2 b \left(4 a^2-b^2\right) \cosh (c+d x)}{3 d}+\frac{1}{2} a x \left(2 a^2-3 b^2\right)+\frac{5 a b^2 \sinh (c+d x) \cosh (c+d x)}{6 d}+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^2}{3 d}","\frac{2 b \left(4 a^2-b^2\right) \cosh (c+d x)}{3 d}+\frac{1}{2} a x \left(2 a^2-3 b^2\right)+\frac{5 a b^2 \sinh (c+d x) \cosh (c+d x)}{6 d}+\frac{b \cosh (c+d x) (a+b \sinh (c+d x))^2}{3 d}",1,"(a*(2*a^2 - 3*b^2)*x)/2 + (2*b*(4*a^2 - b^2)*Cosh[c + d*x])/(3*d) + (5*a*b^2*Cosh[c + d*x]*Sinh[c + d*x])/(6*d) + (b*Cosh[c + d*x]*(a + b*Sinh[c + d*x])^2)/(3*d)","A",2,2,12,0.1667,1,"{2656, 2734}"
99,1,52,0,0.0165329,"\int (a+b \sinh (c+d x))^2 \, dx","Int[(a + b*Sinh[c + d*x])^2,x]","\frac{1}{2} x \left(2 a^2-b^2\right)+\frac{2 a b \cosh (c+d x)}{d}+\frac{b^2 \sinh (c+d x) \cosh (c+d x)}{2 d}","\frac{1}{2} x \left(2 a^2-b^2\right)+\frac{2 a b \cosh (c+d x)}{d}+\frac{b^2 \sinh (c+d x) \cosh (c+d x)}{2 d}",1,"((2*a^2 - b^2)*x)/2 + (2*a*b*Cosh[c + d*x])/d + (b^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*d)","A",1,1,12,0.08333,1,"{2644}"
100,1,15,0,0.0097391,"\int (a+b \sinh (c+d x)) \, dx","Int[a + b*Sinh[c + d*x],x]","a x+\frac{b \cosh (c+d x)}{d}","a x+\frac{b \cosh (c+d x)}{d}",1,"a*x + (b*Cosh[c + d*x])/d","A",2,1,10,0.1000,1,"{2638}"
101,1,44,0,0.0355395,"\int \frac{1}{a+b \sinh (c+d x)} \, dx","Int[(a + b*Sinh[c + d*x])^(-1),x]","-\frac{2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \sqrt{a^2+b^2}}","-\frac{2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \sqrt{a^2+b^2}}",1,"(-2*ArcTanh[(b - a*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/(Sqrt[a^2 + b^2]*d)","A",3,3,12,0.2500,1,"{2660, 618, 204}"
102,1,79,0,0.0628787,"\int \frac{1}{(a+b \sinh (c+d x))^2} \, dx","Int[(a + b*Sinh[c + d*x])^(-2),x]","-\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{3/2}}-\frac{b \cosh (c+d x)}{d \left(a^2+b^2\right) (a+b \sinh (c+d x))}","-\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{3/2}}-\frac{b \cosh (c+d x)}{d \left(a^2+b^2\right) (a+b \sinh (c+d x))}",1,"(-2*a*ArcTanh[(b - a*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/((a^2 + b^2)^(3/2)*d) - (b*Cosh[c + d*x])/((a^2 + b^2)*d*(a + b*Sinh[c + d*x]))","A",5,5,12,0.4167,1,"{2664, 12, 2660, 618, 204}"
103,1,127,0,0.122238,"\int \frac{1}{(a+b \sinh (c+d x))^3} \, dx","Int[(a + b*Sinh[c + d*x])^(-3),x]","-\frac{\left(2 a^2-b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{5/2}}-\frac{3 a b \cosh (c+d x)}{2 d \left(a^2+b^2\right)^2 (a+b \sinh (c+d x))}-\frac{b \cosh (c+d x)}{2 d \left(a^2+b^2\right) (a+b \sinh (c+d x))^2}","-\frac{\left(2 a^2-b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{5/2}}-\frac{3 a b \cosh (c+d x)}{2 d \left(a^2+b^2\right)^2 (a+b \sinh (c+d x))}-\frac{b \cosh (c+d x)}{2 d \left(a^2+b^2\right) (a+b \sinh (c+d x))^2}",1,"-(((2*a^2 - b^2)*ArcTanh[(b - a*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/((a^2 + b^2)^(5/2)*d)) - (b*Cosh[c + d*x])/(2*(a^2 + b^2)*d*(a + b*Sinh[c + d*x])^2) - (3*a*b*Cosh[c + d*x])/(2*(a^2 + b^2)^2*d*(a + b*Sinh[c + d*x]))","A",6,6,12,0.5000,1,"{2664, 2754, 12, 2660, 618, 204}"
104,1,174,0,0.2196409,"\int \frac{1}{(a+b \sinh (c+d x))^4} \, dx","Int[(a + b*Sinh[c + d*x])^(-4),x]","-\frac{a \left(2 a^2-3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{7/2}}-\frac{b \left(11 a^2-4 b^2\right) \cosh (c+d x)}{6 d \left(a^2+b^2\right)^3 (a+b \sinh (c+d x))}-\frac{5 a b \cosh (c+d x)}{6 d \left(a^2+b^2\right)^2 (a+b \sinh (c+d x))^2}-\frac{b \cosh (c+d x)}{3 d \left(a^2+b^2\right) (a+b \sinh (c+d x))^3}","-\frac{a \left(2 a^2-3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{d \left(a^2+b^2\right)^{7/2}}-\frac{b \left(11 a^2-4 b^2\right) \cosh (c+d x)}{6 d \left(a^2+b^2\right)^3 (a+b \sinh (c+d x))}-\frac{5 a b \cosh (c+d x)}{6 d \left(a^2+b^2\right)^2 (a+b \sinh (c+d x))^2}-\frac{b \cosh (c+d x)}{3 d \left(a^2+b^2\right) (a+b \sinh (c+d x))^3}",1,"-((a*(2*a^2 - 3*b^2)*ArcTanh[(b - a*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/((a^2 + b^2)^(7/2)*d)) - (b*Cosh[c + d*x])/(3*(a^2 + b^2)*d*(a + b*Sinh[c + d*x])^3) - (5*a*b*Cosh[c + d*x])/(6*(a^2 + b^2)^2*d*(a + b*Sinh[c + d*x])^2) - (b*(11*a^2 - 4*b^2)*Cosh[c + d*x])/(6*(a^2 + b^2)^3*d*(a + b*Sinh[c + d*x]))","A",7,6,12,0.5000,1,"{2664, 2754, 12, 2660, 618, 204}"
105,1,179,0,0.2578082,"\int (a+b \sinh (x))^{5/2} \, dx","Int[(a + b*Sinh[x])^(5/2),x]","-\frac{16 i a \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 \sqrt{a+b \sinh (x)}}+\frac{2 i \left(23 a^2-9 b^2\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{5} b \cosh (x) (a+b \sinh (x))^{3/2}+\frac{16}{15} a b \cosh (x) \sqrt{a+b \sinh (x)}","-\frac{16 i a \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 \sqrt{a+b \sinh (x)}}+\frac{2 i \left(23 a^2-9 b^2\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{5} b \cosh (x) (a+b \sinh (x))^{3/2}+\frac{16}{15} a b \cosh (x) \sqrt{a+b \sinh (x)}",1,"(16*a*b*Cosh[x]*Sqrt[a + b*Sinh[x]])/15 + (2*b*Cosh[x]*(a + b*Sinh[x])^(3/2))/5 + (((2*I)/15)*(23*a^2 - 9*b^2)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/Sqrt[(a + b*Sinh[x])/(a - I*b)] - (((16*I)/15)*a*(a^2 + b^2)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/Sqrt[a + b*Sinh[x]]","A",7,7,10,0.7000,1,"{2656, 2753, 2752, 2663, 2661, 2655, 2653}"
106,1,150,0,0.1658041,"\int (a+b \sinh (x))^{3/2} \, dx","Int[(a + b*Sinh[x])^(3/2),x]","-\frac{2 i \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \sqrt{a+b \sinh (x)}}+\frac{2}{3} b \cosh (x) \sqrt{a+b \sinh (x)}+\frac{8 i a \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}","-\frac{2 i \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \sqrt{a+b \sinh (x)}}+\frac{2}{3} b \cosh (x) \sqrt{a+b \sinh (x)}+\frac{8 i a \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"(2*b*Cosh[x]*Sqrt[a + b*Sinh[x]])/3 + (((8*I)/3)*a*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/Sqrt[(a + b*Sinh[x])/(a - I*b)] - (((2*I)/3)*(a^2 + b^2)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/Sqrt[a + b*Sinh[x]]","A",6,6,10,0.6000,1,"{2656, 2752, 2663, 2661, 2655, 2653}"
107,1,60,0,0.0371274,"\int \sqrt{a+b \sinh (x)} \, dx","Int[Sqrt[a + b*Sinh[x]],x]","\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\sqrt{\frac{a+b \sinh (x)}{a-i b}}}","\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"((2*I)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/Sqrt[(a + b*Sinh[x])/(a - I*b)]","A",2,2,10,0.2000,1,"{2655, 2653}"
108,1,60,0,0.0368365,"\int \frac{1}{\sqrt{a+b \sinh (x)}} \, dx","Int[1/Sqrt[a + b*Sinh[x]],x]","\frac{2 i \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\sqrt{a+b \sinh (x)}}","\frac{2 i \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\sqrt{a+b \sinh (x)}}",1,"((2*I)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/Sqrt[a + b*Sinh[x]]","A",2,2,10,0.2000,1,"{2663, 2661}"
109,1,94,0,0.0597764,"\int \frac{1}{(a+b \sinh (x))^{3/2}} \, dx","Int[(a + b*Sinh[x])^(-3/2),x]","-\frac{2 b \cosh (x)}{\left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}}}","-\frac{2 b \cosh (x)}{\left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{\left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"(-2*b*Cosh[x])/((a^2 + b^2)*Sqrt[a + b*Sinh[x]]) + ((2*I)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/((a^2 + b^2)*Sqrt[(a + b*Sinh[x])/(a - I*b)])","A",4,4,10,0.4000,1,"{2664, 21, 2655, 2653}"
110,1,197,0,0.2118729,"\int \frac{1}{(a+b \sinh (x))^{5/2}} \, dx","Int[(a + b*Sinh[x])^(-5/2),x]","-\frac{8 a b \cosh (x)}{3 \left(a^2+b^2\right)^2 \sqrt{a+b \sinh (x)}}-\frac{2 b \cosh (x)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^{3/2}}-\frac{2 i \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{8 i a \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \left(a^2+b^2\right)^2 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}","-\frac{8 a b \cosh (x)}{3 \left(a^2+b^2\right)^2 \sqrt{a+b \sinh (x)}}-\frac{2 b \cosh (x)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^{3/2}}-\frac{2 i \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{8 i a \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 \left(a^2+b^2\right)^2 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"(-2*b*Cosh[x])/(3*(a^2 + b^2)*(a + b*Sinh[x])^(3/2)) - (8*a*b*Cosh[x])/(3*(a^2 + b^2)^2*Sqrt[a + b*Sinh[x]]) + (((8*I)/3)*a*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/((a^2 + b^2)^2*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - (((2*I)/3)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/((a^2 + b^2)*Sqrt[a + b*Sinh[x]])","A",7,7,10,0.7000,1,"{2664, 2754, 2752, 2663, 2661, 2655, 2653}"
111,1,128,0,0.1142537,"\int \frac{\sinh (x)}{\sqrt{a+b \sinh (x)}} \, dx","Int[Sinh[x]/Sqrt[a + b*Sinh[x]],x]","\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}-\frac{2 i a \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}","\frac{2 i \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}-\frac{2 i a \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}",1,"((2*I)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - ((2*I)*a*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",5,5,13,0.3846,1,"{2752, 2663, 2661, 2655, 2653}"
112,1,112,0,0.1001429,"\int (a+i a \sinh (x))^{5/2} (A+B \sinh (x)) \, dx","Int[(a + I*a*Sinh[x])^(5/2)*(A + B*Sinh[x]),x]","\frac{64 a^3 (5 B+7 i A) \cosh (x)}{105 \sqrt{a+i a \sinh (x)}}+\frac{16}{105} a^2 (5 B+7 i A) \cosh (x) \sqrt{a+i a \sinh (x)}+\frac{2}{35} a (5 B+7 i A) \cosh (x) (a+i a \sinh (x))^{3/2}+\frac{2}{7} B \cosh (x) (a+i a \sinh (x))^{5/2}","\frac{64 a^3 (5 B+7 i A) \cosh (x)}{105 \sqrt{a+i a \sinh (x)}}+\frac{16}{105} a^2 (5 B+7 i A) \cosh (x) \sqrt{a+i a \sinh (x)}+\frac{2}{35} a (5 B+7 i A) \cosh (x) (a+i a \sinh (x))^{3/2}+\frac{2}{7} B \cosh (x) (a+i a \sinh (x))^{5/2}",1,"(64*a^3*((7*I)*A + 5*B)*Cosh[x])/(105*Sqrt[a + I*a*Sinh[x]]) + (16*a^2*((7*I)*A + 5*B)*Cosh[x]*Sqrt[a + I*a*Sinh[x]])/105 + (2*a*((7*I)*A + 5*B)*Cosh[x]*(a + I*a*Sinh[x])^(3/2))/35 + (2*B*Cosh[x]*(a + I*a*Sinh[x])^(5/2))/7","A",4,3,20,0.1500,1,"{2751, 2647, 2646}"
113,1,81,0,0.0808424,"\int (a+i a \sinh (x))^{3/2} (A+B \sinh (x)) \, dx","Int[(a + I*a*Sinh[x])^(3/2)*(A + B*Sinh[x]),x]","\frac{8 a^2 (3 B+5 i A) \cosh (x)}{15 \sqrt{a+i a \sinh (x)}}+\frac{2}{15} a (3 B+5 i A) \cosh (x) \sqrt{a+i a \sinh (x)}+\frac{2}{5} B \cosh (x) (a+i a \sinh (x))^{3/2}","\frac{8 a^2 (3 B+5 i A) \cosh (x)}{15 \sqrt{a+i a \sinh (x)}}+\frac{2}{15} a (3 B+5 i A) \cosh (x) \sqrt{a+i a \sinh (x)}+\frac{2}{5} B \cosh (x) (a+i a \sinh (x))^{3/2}",1,"(8*a^2*((5*I)*A + 3*B)*Cosh[x])/(15*Sqrt[a + I*a*Sinh[x]]) + (2*a*((5*I)*A + 3*B)*Cosh[x]*Sqrt[a + I*a*Sinh[x]])/15 + (2*B*Cosh[x]*(a + I*a*Sinh[x])^(3/2))/5","A",3,3,20,0.1500,1,"{2751, 2647, 2646}"
114,1,48,0,0.0538788,"\int \sqrt{a+i a \sinh (x)} (A+B \sinh (x)) \, dx","Int[Sqrt[a + I*a*Sinh[x]]*(A + B*Sinh[x]),x]","\frac{2 a (B+3 i A) \cosh (x)}{3 \sqrt{a+i a \sinh (x)}}+\frac{2}{3} B \cosh (x) \sqrt{a+i a \sinh (x)}","\frac{2 a (B+3 i A) \cosh (x)}{3 \sqrt{a+i a \sinh (x)}}+\frac{2}{3} B \cosh (x) \sqrt{a+i a \sinh (x)}",1,"(2*a*((3*I)*A + B)*Cosh[x])/(3*Sqrt[a + I*a*Sinh[x]]) + (2*B*Cosh[x]*Sqrt[a + I*a*Sinh[x]])/3","A",2,2,20,0.1000,1,"{2751, 2646}"
115,1,23,0,0.037834,"\int \frac{A+B \sinh (x)}{i+\sinh (x)} \, dx","Int[(A + B*Sinh[x])/(I + Sinh[x]),x]","B x-\frac{(B+i A) \cosh (x)}{\sinh (x)+i}","B x-\frac{(B+i A) \cosh (x)}{\sinh (x)+i}",1,"B*x - ((I*A + B)*Cosh[x])/(I + Sinh[x])","A",2,2,15,0.1333,1,"{2735, 2648}"
116,1,43,0,0.0422746,"\int \frac{A+B \sinh (x)}{(i+\sinh (x))^2} \, dx","Int[(A + B*Sinh[x])/(I + Sinh[x])^2,x]","-\frac{(A+2 i B) \cosh (x)}{3 (\sinh (x)+i)}-\frac{(B+i A) \cosh (x)}{3 (\sinh (x)+i)^2}","-\frac{(A+2 i B) \cosh (x)}{3 (\sinh (x)+i)}-\frac{(B+i A) \cosh (x)}{3 (\sinh (x)+i)^2}",1,"-((I*A + B)*Cosh[x])/(3*(I + Sinh[x])^2) - ((A + (2*I)*B)*Cosh[x])/(3*(I + Sinh[x]))","A",2,2,15,0.1333,1,"{2750, 2648}"
117,1,68,0,0.0535386,"\int \frac{A+B \sinh (x)}{(i+\sinh (x))^3} \, dx","Int[(A + B*Sinh[x])/(I + Sinh[x])^3,x]","\frac{(-3 B+2 i A) \cosh (x)}{15 (\sinh (x)+i)}-\frac{(2 A+3 i B) \cosh (x)}{15 (\sinh (x)+i)^2}-\frac{(B+i A) \cosh (x)}{5 (\sinh (x)+i)^3}","\frac{(-3 B+2 i A) \cosh (x)}{15 (\sinh (x)+i)}-\frac{(2 A+3 i B) \cosh (x)}{15 (\sinh (x)+i)^2}-\frac{(B+i A) \cosh (x)}{5 (\sinh (x)+i)^3}",1,"-((I*A + B)*Cosh[x])/(5*(I + Sinh[x])^3) - ((2*A + (3*I)*B)*Cosh[x])/(15*(I + Sinh[x])^2) + (((2*I)*A - 3*B)*Cosh[x])/(15*(I + Sinh[x]))","A",3,3,15,0.2000,1,"{2750, 2650, 2648}"
118,1,91,0,0.0676414,"\int \frac{A+B \sinh (x)}{(i+\sinh (x))^4} \, dx","Int[(A + B*Sinh[x])/(I + Sinh[x])^4,x]","\frac{2 (3 A+4 i B) \cosh (x)}{105 (\sinh (x)+i)}+\frac{2 (-4 B+3 i A) \cosh (x)}{105 (\sinh (x)+i)^2}-\frac{(3 A+4 i B) \cosh (x)}{35 (\sinh (x)+i)^3}-\frac{(B+i A) \cosh (x)}{7 (\sinh (x)+i)^4}","\frac{2 (3 A+4 i B) \cosh (x)}{105 (\sinh (x)+i)}+\frac{2 (-4 B+3 i A) \cosh (x)}{105 (\sinh (x)+i)^2}-\frac{(3 A+4 i B) \cosh (x)}{35 (\sinh (x)+i)^3}-\frac{(B+i A) \cosh (x)}{7 (\sinh (x)+i)^4}",1,"-((I*A + B)*Cosh[x])/(7*(I + Sinh[x])^4) - ((3*A + (4*I)*B)*Cosh[x])/(35*(I + Sinh[x])^3) + (2*((3*I)*A - 4*B)*Cosh[x])/(105*(I + Sinh[x])^2) + (2*(3*A + (4*I)*B)*Cosh[x])/(105*(I + Sinh[x]))","A",4,3,15,0.2000,1,"{2750, 2650, 2648}"
119,1,27,0,0.042611,"\int \frac{A+B \sinh (x)}{i-\sinh (x)} \, dx","Int[(A + B*Sinh[x])/(I - Sinh[x]),x]","-B x+\frac{(-B+i A) \cosh (x)}{-\sinh (x)+i}","-B x+\frac{(-B+i A) \cosh (x)}{-\sinh (x)+i}",1,"-(B*x) + ((I*A - B)*Cosh[x])/(I - Sinh[x])","A",2,2,17,0.1176,1,"{2735, 2648}"
120,1,49,0,0.0435185,"\int \frac{A+B \sinh (x)}{(i-\sinh (x))^2} \, dx","Int[(A + B*Sinh[x])/(I - Sinh[x])^2,x]","\frac{(A-2 i B) \cosh (x)}{3 (-\sinh (x)+i)}+\frac{(-B+i A) \cosh (x)}{3 (-\sinh (x)+i)^2}","\frac{(A-2 i B) \cosh (x)}{3 (-\sinh (x)+i)}+\frac{(-B+i A) \cosh (x)}{3 (-\sinh (x)+i)^2}",1,"((I*A - B)*Cosh[x])/(3*(I - Sinh[x])^2) + ((A - (2*I)*B)*Cosh[x])/(3*(I - Sinh[x]))","A",2,2,17,0.1176,1,"{2750, 2648}"
121,1,76,0,0.0585895,"\int \frac{A+B \sinh (x)}{(i-\sinh (x))^3} \, dx","Int[(A + B*Sinh[x])/(I - Sinh[x])^3,x]","-\frac{(3 B+2 i A) \cosh (x)}{15 (-\sinh (x)+i)}+\frac{(2 A-3 i B) \cosh (x)}{15 (-\sinh (x)+i)^2}+\frac{(-B+i A) \cosh (x)}{5 (-\sinh (x)+i)^3}","-\frac{(3 B+2 i A) \cosh (x)}{15 (-\sinh (x)+i)}+\frac{(2 A-3 i B) \cosh (x)}{15 (-\sinh (x)+i)^2}+\frac{(-B+i A) \cosh (x)}{5 (-\sinh (x)+i)^3}",1,"((I*A - B)*Cosh[x])/(5*(I - Sinh[x])^3) + ((2*A - (3*I)*B)*Cosh[x])/(15*(I - Sinh[x])^2) - (((2*I)*A + 3*B)*Cosh[x])/(15*(I - Sinh[x]))","A",3,3,17,0.1765,1,"{2750, 2650, 2648}"
122,1,101,0,0.0699008,"\int \frac{A+B \sinh (x)}{(i-\sinh (x))^4} \, dx","Int[(A + B*Sinh[x])/(I - Sinh[x])^4,x]","-\frac{2 (3 A-4 i B) \cosh (x)}{105 (-\sinh (x)+i)}-\frac{2 (4 B+3 i A) \cosh (x)}{105 (-\sinh (x)+i)^2}+\frac{(3 A-4 i B) \cosh (x)}{35 (-\sinh (x)+i)^3}+\frac{(-B+i A) \cosh (x)}{7 (-\sinh (x)+i)^4}","-\frac{2 (3 A-4 i B) \cosh (x)}{105 (-\sinh (x)+i)}-\frac{2 (4 B+3 i A) \cosh (x)}{105 (-\sinh (x)+i)^2}+\frac{(3 A-4 i B) \cosh (x)}{35 (-\sinh (x)+i)^3}+\frac{(-B+i A) \cosh (x)}{7 (-\sinh (x)+i)^4}",1,"((I*A - B)*Cosh[x])/(7*(I - Sinh[x])^4) + ((3*A - (4*I)*B)*Cosh[x])/(35*(I - Sinh[x])^3) - (2*((3*I)*A + 4*B)*Cosh[x])/(105*(I - Sinh[x])^2) - (2*(3*A - (4*I)*B)*Cosh[x])/(105*(I - Sinh[x]))","A",4,3,17,0.1765,1,"{2750, 2650, 2648}"
123,1,66,0,0.0659672,"\int \frac{A+B \sinh (x)}{\sqrt{a+i a \sinh (x)}} \, dx","Int[(A + B*Sinh[x])/Sqrt[a + I*a*Sinh[x]],x]","\frac{\sqrt{2} (-B+i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{\sqrt{a}}+\frac{2 B \cosh (x)}{\sqrt{a+i a \sinh (x)}}","\frac{\sqrt{2} (-B+i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{\sqrt{a}}+\frac{2 B \cosh (x)}{\sqrt{a+i a \sinh (x)}}",1,"(Sqrt[2]*(I*A - B)*ArcTanh[(Sqrt[a]*Cosh[x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[x]])])/Sqrt[a] + (2*B*Cosh[x])/Sqrt[a + I*a*Sinh[x]]","A",3,3,20,0.1500,1,"{2751, 2649, 206}"
124,1,79,0,0.0768225,"\int \frac{A+B \sinh (x)}{(a+i a \sinh (x))^{3/2}} \, dx","Int[(A + B*Sinh[x])/(a + I*a*Sinh[x])^(3/2),x]","\frac{(3 B+i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{2 \sqrt{2} a^{3/2}}+\frac{(-B+i A) \cosh (x)}{2 (a+i a \sinh (x))^{3/2}}","\frac{(3 B+i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{2 \sqrt{2} a^{3/2}}+\frac{(-B+i A) \cosh (x)}{2 (a+i a \sinh (x))^{3/2}}",1,"((I*A + 3*B)*ArcTanh[(Sqrt[a]*Cosh[x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[x]])])/(2*Sqrt[2]*a^(3/2)) + ((I*A - B)*Cosh[x])/(2*(a + I*a*Sinh[x])^(3/2))","A",3,3,20,0.1500,1,"{2750, 2649, 206}"
125,1,110,0,0.1000809,"\int \frac{A+B \sinh (x)}{(a+i a \sinh (x))^{5/2}} \, dx","Int[(A + B*Sinh[x])/(a + I*a*Sinh[x])^(5/2),x]","\frac{(5 B+3 i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{16 \sqrt{2} a^{5/2}}+\frac{(5 B+3 i A) \cosh (x)}{16 a (a+i a \sinh (x))^{3/2}}+\frac{(-B+i A) \cosh (x)}{4 (a+i a \sinh (x))^{5/2}}","\frac{(5 B+3 i A) \tanh ^{-1}\left(\frac{\sqrt{a} \cosh (x)}{\sqrt{2} \sqrt{a+i a \sinh (x)}}\right)}{16 \sqrt{2} a^{5/2}}+\frac{(5 B+3 i A) \cosh (x)}{16 a (a+i a \sinh (x))^{3/2}}+\frac{(-B+i A) \cosh (x)}{4 (a+i a \sinh (x))^{5/2}}",1,"(((3*I)*A + 5*B)*ArcTanh[(Sqrt[a]*Cosh[x])/(Sqrt[2]*Sqrt[a + I*a*Sinh[x]])])/(16*Sqrt[2]*a^(5/2)) + ((I*A - B)*Cosh[x])/(4*(a + I*a*Sinh[x])^(5/2)) + (((3*I)*A + 5*B)*Cosh[x])/(16*a*(a + I*a*Sinh[x])^(3/2))","A",4,4,20,0.2000,1,"{2750, 2650, 2649, 206}"
126,1,259,0,0.4463241,"\int (a+b \sinh (x))^{5/2} (A+B \sinh (x)) \, dx","Int[(a + b*Sinh[x])^(5/2)*(A + B*Sinh[x]),x]","\frac{2}{105} \cosh (x) \left(15 a^2 B+56 a A b-25 b^2 B\right) \sqrt{a+b \sinh (x)}-\frac{2 i \left(a^2+b^2\right) \left(15 a^2 B+56 a A b-25 b^2 B\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{105 b \sqrt{a+b \sinh (x)}}+\frac{2 i \left(161 a^2 A b+15 a^3 B-145 a b^2 B-63 A b^3\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{105 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{35} \cosh (x) (5 a B+7 A b) (a+b \sinh (x))^{3/2}+\frac{2}{7} B \cosh (x) (a+b \sinh (x))^{5/2}","\frac{2}{105} \cosh (x) \left(15 a^2 B+56 a A b-25 b^2 B\right) \sqrt{a+b \sinh (x)}-\frac{2 i \left(a^2+b^2\right) \left(15 a^2 B+56 a A b-25 b^2 B\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{105 b \sqrt{a+b \sinh (x)}}+\frac{2 i \left(161 a^2 A b+15 a^3 B-145 a b^2 B-63 A b^3\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{105 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{35} \cosh (x) (5 a B+7 A b) (a+b \sinh (x))^{3/2}+\frac{2}{7} B \cosh (x) (a+b \sinh (x))^{5/2}",1,"(2*(56*a*A*b + 15*a^2*B - 25*b^2*B)*Cosh[x]*Sqrt[a + b*Sinh[x]])/105 + (2*(7*A*b + 5*a*B)*Cosh[x]*(a + b*Sinh[x])^(3/2))/35 + (2*B*Cosh[x]*(a + b*Sinh[x])^(5/2))/7 + (((2*I)/105)*(161*a^2*A*b - 63*A*b^3 + 15*a^3*B - 145*a*b^2*B)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - (((2*I)/105)*(a^2 + b^2)*(56*a*A*b + 15*a^2*B - 25*b^2*B)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",8,6,17,0.3529,1,"{2753, 2752, 2663, 2661, 2655, 2653}"
127,1,207,0,0.3111124,"\int (a+b \sinh (x))^{3/2} (A+B \sinh (x)) \, dx","Int[(a + b*Sinh[x])^(3/2)*(A + B*Sinh[x]),x]","-\frac{2 i \left(a^2+b^2\right) (3 a B+5 A b) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 b \sqrt{a+b \sinh (x)}}+\frac{2 i \left(3 a^2 B+20 a A b-9 b^2 B\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{15} \cosh (x) (3 a B+5 A b) \sqrt{a+b \sinh (x)}+\frac{2}{5} B \cosh (x) (a+b \sinh (x))^{3/2}","-\frac{2 i \left(a^2+b^2\right) (3 a B+5 A b) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 b \sqrt{a+b \sinh (x)}}+\frac{2 i \left(3 a^2 B+20 a A b-9 b^2 B\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{15 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{15} \cosh (x) (3 a B+5 A b) \sqrt{a+b \sinh (x)}+\frac{2}{5} B \cosh (x) (a+b \sinh (x))^{3/2}",1,"(2*(5*A*b + 3*a*B)*Cosh[x]*Sqrt[a + b*Sinh[x]])/15 + (2*B*Cosh[x]*(a + b*Sinh[x])^(3/2))/5 + (((2*I)/15)*(20*a*A*b + 3*a^2*B - 9*b^2*B)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - (((2*I)/15)*(a^2 + b^2)*(5*A*b + 3*a*B)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",7,6,17,0.3529,1,"{2753, 2752, 2663, 2661, 2655, 2653}"
128,1,164,0,0.2115301,"\int \sqrt{a+b \sinh (x)} (A+B \sinh (x)) \, dx","Int[Sqrt[a + b*Sinh[x]]*(A + B*Sinh[x]),x]","-\frac{2 i B \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \sqrt{a+b \sinh (x)}}+\frac{2 i (a B+3 A b) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{3} B \cosh (x) \sqrt{a+b \sinh (x)}","-\frac{2 i B \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \sqrt{a+b \sinh (x)}}+\frac{2 i (a B+3 A b) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2}{3} B \cosh (x) \sqrt{a+b \sinh (x)}",1,"(2*B*Cosh[x]*Sqrt[a + b*Sinh[x]])/3 + (((2*I)/3)*(3*A*b + a*B)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - (((2*I)/3)*(a^2 + b^2)*B*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",6,6,17,0.3529,1,"{2753, 2752, 2663, 2661, 2655, 2653}"
129,1,55,0,0.0750333,"\int \frac{A+B \sinh (x)}{a+b \sinh (x)} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x]),x]","\frac{B x}{b}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}","\frac{B x}{b}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}",1,"(B*x)/b - (2*(A*b - a*B)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b*Sqrt[a^2 + b^2])","A",4,4,15,0.2667,1,"{2735, 2660, 618, 206}"
130,1,74,0,0.0828692,"\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^2} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x])^2,x]","-\frac{2 (a A+b B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{\cosh (x) (A b-a B)}{\left(a^2+b^2\right) (a+b \sinh (x))}","-\frac{2 (a A+b B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{\cosh (x) (A b-a B)}{\left(a^2+b^2\right) (a+b \sinh (x))}",1,"(-2*(a*A + b*B)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(3/2) - ((A*b - a*B)*Cosh[x])/((a^2 + b^2)*(a + b*Sinh[x]))","A",5,5,15,0.3333,1,"{2754, 12, 2660, 618, 206}"
131,1,128,0,0.1750604,"\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^3} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x])^3,x]","-\frac{\left(2 a^2 A+3 a b B-A b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\cosh (x) \left(a^2 (-B)+3 a A b+2 b^2 B\right)}{2 \left(a^2+b^2\right)^2 (a+b \sinh (x))}-\frac{\cosh (x) (A b-a B)}{2 \left(a^2+b^2\right) (a+b \sinh (x))^2}","-\frac{\left(2 a^2 A+3 a b B-A b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\cosh (x) \left(a^2 (-B)+3 a A b+2 b^2 B\right)}{2 \left(a^2+b^2\right)^2 (a+b \sinh (x))}-\frac{\cosh (x) (A b-a B)}{2 \left(a^2+b^2\right) (a+b \sinh (x))^2}",1,"-(((2*a^2*A - A*b^2 + 3*a*b*B)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2)) - ((A*b - a*B)*Cosh[x])/(2*(a^2 + b^2)*(a + b*Sinh[x])^2) - ((3*a*A*b - a^2*B + 2*b^2*B)*Cosh[x])/(2*(a^2 + b^2)^2*(a + b*Sinh[x]))","A",6,5,15,0.3333,1,"{2754, 12, 2660, 618, 206}"
132,1,187,0,0.3253903,"\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^4} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x])^4,x]","-\frac{\left(2 a^3 A+4 a^2 b B-3 a A b^2-b^3 B\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{\cosh (x) \left(11 a^2 A b-2 a^3 B+13 a b^2 B-4 A b^3\right)}{6 \left(a^2+b^2\right)^3 (a+b \sinh (x))}-\frac{\cosh (x) \left(-2 a^2 B+5 a A b+3 b^2 B\right)}{6 \left(a^2+b^2\right)^2 (a+b \sinh (x))^2}-\frac{\cosh (x) (A b-a B)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^3}","-\frac{\left(2 a^3 A+4 a^2 b B-3 a A b^2-b^3 B\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{\cosh (x) \left(11 a^2 A b-2 a^3 B+13 a b^2 B-4 A b^3\right)}{6 \left(a^2+b^2\right)^3 (a+b \sinh (x))}-\frac{\cosh (x) \left(-2 a^2 B+5 a A b+3 b^2 B\right)}{6 \left(a^2+b^2\right)^2 (a+b \sinh (x))^2}-\frac{\cosh (x) (A b-a B)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^3}",1,"-(((2*a^3*A - 3*a*A*b^2 + 4*a^2*b*B - b^3*B)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(7/2)) - ((A*b - a*B)*Cosh[x])/(3*(a^2 + b^2)*(a + b*Sinh[x])^3) - ((5*a*A*b - 2*a^2*B + 3*b^2*B)*Cosh[x])/(6*(a^2 + b^2)^2*(a + b*Sinh[x])^2) - ((11*a^2*A*b - 4*A*b^3 - 2*a^3*B + 13*a*b^2*B)*Cosh[x])/(6*(a^2 + b^2)^3*(a + b*Sinh[x]))","A",7,5,15,0.3333,1,"{2754, 12, 2660, 618, 206}"
133,1,60,0,0.0837459,"\int \frac{\frac{b B}{a}+B \sinh (x)}{a+b \sinh (x)} \, dx","Int[((b*B)/a + B*Sinh[x])/(a + b*Sinh[x]),x]","\frac{2 B \left(a^2-b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b \sqrt{a^2+b^2}}+\frac{B x}{b}","\frac{2 B \left(a^2-b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b \sqrt{a^2+b^2}}+\frac{B x}{b}",1,"(B*x)/b + (2*(a^2 - b^2)*B*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*b*Sqrt[a^2 + b^2])","A",4,4,20,0.2000,1,"{2735, 2660, 618, 206}"
134,1,6,0,0.001466,"\int \frac{\frac{a B}{b}+B \sinh (x)}{a+b \sinh (x)} \, dx","Int[((a*B)/b + B*Sinh[x])/(a + b*Sinh[x]),x]","\frac{B x}{b}","\frac{B x}{b}",1,"(B*x)/b","A",2,2,20,0.1000,1,"{21, 8}"
135,1,12,0,0.0321646,"\int \frac{a-b \sinh (x)}{(b+a \sinh (x))^2} \, dx","Int[(a - b*Sinh[x])/(b + a*Sinh[x])^2,x]","-\frac{\cosh (x)}{a \sinh (x)+b}","-\frac{\cosh (x)}{a \sinh (x)+b}",1,"-(Cosh[x]/(b + a*Sinh[x]))","A",2,2,16,0.1250,1,"{2754, 8}"
136,1,34,0,0.037192,"\int \frac{2-\sinh (x)}{2+\sinh (x)} \, dx","Int[(2 - Sinh[x])/(2 + Sinh[x]),x]","\frac{4 x}{\sqrt{5}}-x-\frac{8 \tanh ^{-1}\left(\frac{\cosh (x)}{\sinh (x)+\sqrt{5}+2}\right)}{\sqrt{5}}","\frac{4 x}{\sqrt{5}}-x-\frac{8 \tanh ^{-1}\left(\frac{\cosh (x)}{\sinh (x)+\sqrt{5}+2}\right)}{\sqrt{5}}",1,"-x + (4*x)/Sqrt[5] - (8*ArcTanh[Cosh[x]/(2 + Sqrt[5] + Sinh[x])])/Sqrt[5]","A",2,2,13,0.1538,1,"{2735, 2657}"
137,1,136,0,0.1201672,"\int \frac{A+B \sinh (x)}{\sqrt{a+b \sinh (x)}} \, dx","Int[(A + B*Sinh[x])/Sqrt[a + b*Sinh[x]],x]","\frac{2 i (A b-a B) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}+\frac{2 i B \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}","\frac{2 i (A b-a B) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}+\frac{2 i B \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"((2*I)*B*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*Sqrt[(a + b*Sinh[x])/(a - I*b)]) + ((2*I)*(A*b - a*B)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",5,5,17,0.2941,1,"{2752, 2663, 2661, 2655, 2653}"
138,1,176,0,0.2266547,"\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^{3/2}} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x])^(3/2),x]","-\frac{2 \cosh (x) (A b-a B)}{\left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i (A b-a B) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2 i B \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}","-\frac{2 \cosh (x) (A b-a B)}{\left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i (A b-a B) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \left(a^2+b^2\right) \sqrt{\frac{a+b \sinh (x)}{a-i b}}}+\frac{2 i B \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{b \sqrt{a+b \sinh (x)}}",1,"(-2*(A*b - a*B)*Cosh[x])/((a^2 + b^2)*Sqrt[a + b*Sinh[x]]) + ((2*I)*(A*b - a*B)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*(a^2 + b^2)*Sqrt[(a + b*Sinh[x])/(a - I*b)]) + ((2*I)*B*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*Sqrt[a + b*Sinh[x]])","A",6,6,17,0.3529,1,"{2754, 2752, 2663, 2661, 2655, 2653}"
139,1,251,0,0.334651,"\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^{5/2}} \, dx","Int[(A + B*Sinh[x])/(a + b*Sinh[x])^(5/2),x]","-\frac{2 \cosh (x) \left(a^2 (-B)+4 a A b+3 b^2 B\right)}{3 \left(a^2+b^2\right)^2 \sqrt{a+b \sinh (x)}}-\frac{2 \cosh (x) (A b-a B)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^{3/2}}-\frac{2 i (A b-a B) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i \left(a^2 (-B)+4 a A b+3 b^2 B\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \left(a^2+b^2\right)^2 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}","-\frac{2 \cosh (x) \left(a^2 (-B)+4 a A b+3 b^2 B\right)}{3 \left(a^2+b^2\right)^2 \sqrt{a+b \sinh (x)}}-\frac{2 \cosh (x) (A b-a B)}{3 \left(a^2+b^2\right) (a+b \sinh (x))^{3/2}}-\frac{2 i (A b-a B) \sqrt{\frac{a+b \sinh (x)}{a-i b}} F\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \left(a^2+b^2\right) \sqrt{a+b \sinh (x)}}+\frac{2 i \left(a^2 (-B)+4 a A b+3 b^2 B\right) \sqrt{a+b \sinh (x)} E\left(\frac{\pi }{4}-\frac{i x}{2}|\frac{2 b}{i a+b}\right)}{3 b \left(a^2+b^2\right)^2 \sqrt{\frac{a+b \sinh (x)}{a-i b}}}",1,"(-2*(A*b - a*B)*Cosh[x])/(3*(a^2 + b^2)*(a + b*Sinh[x])^(3/2)) - (2*(4*a*A*b - a^2*B + 3*b^2*B)*Cosh[x])/(3*(a^2 + b^2)^2*Sqrt[a + b*Sinh[x]]) + (((2*I)/3)*(4*a*A*b - a^2*B + 3*b^2*B)*EllipticE[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[a + b*Sinh[x]])/(b*(a^2 + b^2)^2*Sqrt[(a + b*Sinh[x])/(a - I*b)]) - (((2*I)/3)*(A*b - a*B)*EllipticF[Pi/4 - (I/2)*x, (2*b)/(I*a + b)]*Sqrt[(a + b*Sinh[x])/(a - I*b)])/(b*(a^2 + b^2)*Sqrt[a + b*Sinh[x]])","A",7,6,17,0.3529,1,"{2754, 2752, 2663, 2661, 2655, 2653}"
140,1,53,0,0.0371284,"\int \left(a \sinh ^2(x)\right)^{5/2} \, dx","Int[(a*Sinh[x]^2)^(5/2),x]","\frac{8}{15} a^2 \coth (x) \sqrt{a \sinh ^2(x)}+\frac{1}{5} \coth (x) \left(a \sinh ^2(x)\right)^{5/2}-\frac{4}{15} a \coth (x) \left(a \sinh ^2(x)\right)^{3/2}","\frac{8}{15} a^2 \coth (x) \sqrt{a \sinh ^2(x)}+\frac{1}{5} \coth (x) \left(a \sinh ^2(x)\right)^{5/2}-\frac{4}{15} a \coth (x) \left(a \sinh ^2(x)\right)^{3/2}",1,"(8*a^2*Coth[x]*Sqrt[a*Sinh[x]^2])/15 - (4*a*Coth[x]*(a*Sinh[x]^2)^(3/2))/15 + (Coth[x]*(a*Sinh[x]^2)^(5/2))/5","A",4,3,10,0.3000,1,"{3203, 3207, 2638}"
141,1,34,0,0.0239005,"\int \left(a \sinh ^2(x)\right)^{3/2} \, dx","Int[(a*Sinh[x]^2)^(3/2),x]","\frac{1}{3} \coth (x) \left(a \sinh ^2(x)\right)^{3/2}-\frac{2}{3} a \coth (x) \sqrt{a \sinh ^2(x)}","\frac{1}{3} \coth (x) \left(a \sinh ^2(x)\right)^{3/2}-\frac{2}{3} a \coth (x) \sqrt{a \sinh ^2(x)}",1,"(-2*a*Coth[x]*Sqrt[a*Sinh[x]^2])/3 + (Coth[x]*(a*Sinh[x]^2)^(3/2))/3","A",3,3,10,0.3000,1,"{3203, 3207, 2638}"
142,1,13,0,0.0128127,"\int \sqrt{a \sinh ^2(x)} \, dx","Int[Sqrt[a*Sinh[x]^2],x]","\coth (x) \sqrt{a \sinh ^2(x)}","\coth (x) \sqrt{a \sinh ^2(x)}",1,"Coth[x]*Sqrt[a*Sinh[x]^2]","A",2,2,10,0.2000,1,"{3207, 2638}"
143,1,17,0,0.0133405,"\int \frac{1}{\sqrt{a \sinh ^2(x)}} \, dx","Int[1/Sqrt[a*Sinh[x]^2],x]","-\frac{\sinh (x) \tanh ^{-1}(\cosh (x))}{\sqrt{a \sinh ^2(x)}}","-\frac{\sinh (x) \tanh ^{-1}(\cosh (x))}{\sqrt{a \sinh ^2(x)}}",1,"-((ArcTanh[Cosh[x]]*Sinh[x])/Sqrt[a*Sinh[x]^2])","A",2,2,10,0.2000,1,"{3207, 3770}"
144,1,42,0,0.0262079,"\int \frac{1}{\left(a \sinh ^2(x)\right)^{3/2}} \, dx","Int[(a*Sinh[x]^2)^(-3/2),x]","\frac{\sinh (x) \tanh ^{-1}(\cosh (x))}{2 a \sqrt{a \sinh ^2(x)}}-\frac{\coth (x)}{2 a \sqrt{a \sinh ^2(x)}}","\frac{\sinh (x) \tanh ^{-1}(\cosh (x))}{2 a \sqrt{a \sinh ^2(x)}}-\frac{\coth (x)}{2 a \sqrt{a \sinh ^2(x)}}",1,"-Coth[x]/(2*a*Sqrt[a*Sinh[x]^2]) + (ArcTanh[Cosh[x]]*Sinh[x])/(2*a*Sqrt[a*Sinh[x]^2])","A",3,3,10,0.3000,1,"{3204, 3207, 3770}"
145,1,61,0,0.0369936,"\int \frac{1}{\left(a \sinh ^2(x)\right)^{5/2}} \, dx","Int[(a*Sinh[x]^2)^(-5/2),x]","\frac{3 \coth (x)}{8 a^2 \sqrt{a \sinh ^2(x)}}-\frac{3 \sinh (x) \tanh ^{-1}(\cosh (x))}{8 a^2 \sqrt{a \sinh ^2(x)}}-\frac{\coth (x)}{4 a \left(a \sinh ^2(x)\right)^{3/2}}","\frac{3 \coth (x)}{8 a^2 \sqrt{a \sinh ^2(x)}}-\frac{3 \sinh (x) \tanh ^{-1}(\cosh (x))}{8 a^2 \sqrt{a \sinh ^2(x)}}-\frac{\coth (x)}{4 a \left(a \sinh ^2(x)\right)^{3/2}}",1,"-Coth[x]/(4*a*(a*Sinh[x]^2)^(3/2)) + (3*Coth[x])/(8*a^2*Sqrt[a*Sinh[x]^2]) - (3*ArcTanh[Cosh[x]]*Sinh[x])/(8*a^2*Sqrt[a*Sinh[x]^2])","A",4,3,10,0.3000,1,"{3204, 3207, 3770}"
146,1,135,0,0.0605775,"\int \left(a \sinh ^3(x)\right)^{5/2} \, dx","Int[(a*Sinh[x]^3)^(5/2),x]","\frac{2}{15} a^2 \sinh ^5(x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{26}{165} a^2 \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^3(x)}+\frac{78}{385} a^2 \sinh (x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{26}{77} a^2 \coth (x) \sqrt{a \sinh ^3(x)}+\frac{26}{77} i a^2 \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}","\frac{2}{15} a^2 \sinh ^5(x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{26}{165} a^2 \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^3(x)}+\frac{78}{385} a^2 \sinh (x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{26}{77} a^2 \coth (x) \sqrt{a \sinh ^3(x)}+\frac{26}{77} i a^2 \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}",1,"(-26*a^2*Coth[x]*Sqrt[a*Sinh[x]^3])/77 + ((26*I)/77)*a^2*Csch[x]^2*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]]*Sqrt[a*Sinh[x]^3] + (78*a^2*Cosh[x]*Sinh[x]*Sqrt[a*Sinh[x]^3])/385 - (26*a^2*Cosh[x]*Sinh[x]^3*Sqrt[a*Sinh[x]^3])/165 + (2*a^2*Cosh[x]*Sinh[x]^5*Sqrt[a*Sinh[x]^3])/15","A",7,4,10,0.4000,1,"{3207, 2635, 2642, 2641}"
147,1,83,0,0.0436829,"\int \left(a \sinh ^3(x)\right)^{3/2} \, dx","Int[(a*Sinh[x]^3)^(3/2),x]","\frac{2}{9} a \sinh ^2(x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{14}{45} a \cosh (x) \sqrt{a \sinh ^3(x)}+\frac{14 i a \text{csch}(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}}{15 \sqrt{i \sinh (x)}}","\frac{2}{9} a \sinh ^2(x) \cosh (x) \sqrt{a \sinh ^3(x)}-\frac{14}{45} a \cosh (x) \sqrt{a \sinh ^3(x)}+\frac{14 i a \text{csch}(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}}{15 \sqrt{i \sinh (x)}}",1,"(-14*a*Cosh[x]*Sqrt[a*Sinh[x]^3])/45 + (((14*I)/15)*a*Csch[x]*EllipticE[Pi/4 - (I/2)*x, 2]*Sqrt[a*Sinh[x]^3])/Sqrt[I*Sinh[x]] + (2*a*Cosh[x]*Sinh[x]^2*Sqrt[a*Sinh[x]^3])/9","A",5,4,10,0.4000,1,"{3207, 2635, 2640, 2639}"
148,1,62,0,0.0326089,"\int \sqrt{a \sinh ^3(x)} \, dx","Int[Sqrt[a*Sinh[x]^3],x]","\frac{2}{3} \coth (x) \sqrt{a \sinh ^3(x)}-\frac{2}{3} i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}","\frac{2}{3} \coth (x) \sqrt{a \sinh ^3(x)}-\frac{2}{3} i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \sinh ^3(x)}",1,"(2*Coth[x]*Sqrt[a*Sinh[x]^3])/3 - ((2*I)/3)*Csch[x]^2*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]]*Sqrt[a*Sinh[x]^3]","A",4,4,10,0.4000,1,"{3207, 2635, 2642, 2641}"
149,1,60,0,0.0298034,"\int \frac{1}{\sqrt{a \sinh ^3(x)}} \, dx","Int[1/Sqrt[a*Sinh[x]^3],x]","-\frac{2 \sinh (x) \cosh (x)}{\sqrt{a \sinh ^3(x)}}+\frac{2 i \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{\sqrt{i \sinh (x)} \sqrt{a \sinh ^3(x)}}","-\frac{2 \sinh (x) \cosh (x)}{\sqrt{a \sinh ^3(x)}}+\frac{2 i \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{\sqrt{i \sinh (x)} \sqrt{a \sinh ^3(x)}}",1,"(-2*Cosh[x]*Sinh[x])/Sqrt[a*Sinh[x]^3] + ((2*I)*EllipticE[Pi/4 - (I/2)*x, 2]*Sinh[x]^2)/(Sqrt[I*Sinh[x]]*Sqrt[a*Sinh[x]^3])","A",4,4,10,0.4000,1,"{3207, 2636, 2640, 2639}"
150,1,87,0,0.0419059,"\int \frac{1}{\left(a \sinh ^3(x)\right)^{3/2}} \, dx","Int[(a*Sinh[x]^3)^(-3/2),x]","\frac{10 \cosh (x)}{21 a \sqrt{a \sinh ^3(x)}}+\frac{10 i \sqrt{i \sinh (x)} \sinh (x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{21 a \sqrt{a \sinh ^3(x)}}-\frac{2 \coth (x) \text{csch}(x)}{7 a \sqrt{a \sinh ^3(x)}}","\frac{10 \cosh (x)}{21 a \sqrt{a \sinh ^3(x)}}+\frac{10 i \sqrt{i \sinh (x)} \sinh (x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{21 a \sqrt{a \sinh ^3(x)}}-\frac{2 \coth (x) \text{csch}(x)}{7 a \sqrt{a \sinh ^3(x)}}",1,"(10*Cosh[x])/(21*a*Sqrt[a*Sinh[x]^3]) - (2*Coth[x]*Csch[x])/(7*a*Sqrt[a*Sinh[x]^3]) + (((10*I)/21)*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]]*Sinh[x])/(a*Sqrt[a*Sinh[x]^3])","A",5,4,10,0.4000,1,"{3207, 2636, 2642, 2641}"
151,1,135,0,0.0607026,"\int \frac{1}{\left(a \sinh ^3(x)\right)^{5/2}} \, dx","Int[(a*Sinh[x]^3)^(-5/2),x]","\frac{154 \sinh (x) \cosh (x)}{195 a^2 \sqrt{a \sinh ^3(x)}}-\frac{154 \coth (x)}{585 a^2 \sqrt{a \sinh ^3(x)}}-\frac{154 i \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{195 a^2 \sqrt{i \sinh (x)} \sqrt{a \sinh ^3(x)}}-\frac{2 \coth (x) \text{csch}^4(x)}{13 a^2 \sqrt{a \sinh ^3(x)}}+\frac{22 \coth (x) \text{csch}^2(x)}{117 a^2 \sqrt{a \sinh ^3(x)}}","\frac{154 \sinh (x) \cosh (x)}{195 a^2 \sqrt{a \sinh ^3(x)}}-\frac{154 \coth (x)}{585 a^2 \sqrt{a \sinh ^3(x)}}-\frac{154 i \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{195 a^2 \sqrt{i \sinh (x)} \sqrt{a \sinh ^3(x)}}-\frac{2 \coth (x) \text{csch}^4(x)}{13 a^2 \sqrt{a \sinh ^3(x)}}+\frac{22 \coth (x) \text{csch}^2(x)}{117 a^2 \sqrt{a \sinh ^3(x)}}",1,"(-154*Coth[x])/(585*a^2*Sqrt[a*Sinh[x]^3]) + (22*Coth[x]*Csch[x]^2)/(117*a^2*Sqrt[a*Sinh[x]^3]) - (2*Coth[x]*Csch[x]^4)/(13*a^2*Sqrt[a*Sinh[x]^3]) + (154*Cosh[x]*Sinh[x])/(195*a^2*Sqrt[a*Sinh[x]^3]) - (((154*I)/195)*EllipticE[Pi/4 - (I/2)*x, 2]*Sinh[x]^2)/(a^2*Sqrt[I*Sinh[x]]*Sqrt[a*Sinh[x]^3])","A",7,4,10,0.4000,1,"{3207, 2636, 2640, 2639}"
152,1,132,0,0.0488886,"\int \left(a \sinh ^4(x)\right)^{5/2} \, dx","Int[(a*Sinh[x]^4)^(5/2),x]","\frac{1}{10} a^2 \sinh ^7(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{9}{80} a^2 \sinh ^5(x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{21}{160} a^2 \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{21}{128} a^2 \sinh (x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{63}{256} a^2 \coth (x) \sqrt{a \sinh ^4(x)}-\frac{63}{256} a^2 x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}","\frac{1}{10} a^2 \sinh ^7(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{9}{80} a^2 \sinh ^5(x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{21}{160} a^2 \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{21}{128} a^2 \sinh (x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{63}{256} a^2 \coth (x) \sqrt{a \sinh ^4(x)}-\frac{63}{256} a^2 x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}",1,"(63*a^2*Coth[x]*Sqrt[a*Sinh[x]^4])/256 - (63*a^2*x*Csch[x]^2*Sqrt[a*Sinh[x]^4])/256 - (21*a^2*Cosh[x]*Sinh[x]*Sqrt[a*Sinh[x]^4])/128 + (21*a^2*Cosh[x]*Sinh[x]^3*Sqrt[a*Sinh[x]^4])/160 - (9*a^2*Cosh[x]*Sinh[x]^5*Sqrt[a*Sinh[x]^4])/80 + (a^2*Cosh[x]*Sinh[x]^7*Sqrt[a*Sinh[x]^4])/10","A",7,3,10,0.3000,1,"{3207, 2635, 8}"
153,1,78,0,0.0320572,"\int \left(a \sinh ^4(x)\right)^{3/2} \, dx","Int[(a*Sinh[x]^4)^(3/2),x]","\frac{1}{6} a \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{5}{24} a \sinh (x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{5}{16} a \coth (x) \sqrt{a \sinh ^4(x)}-\frac{5}{16} a x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}","\frac{1}{6} a \sinh ^3(x) \cosh (x) \sqrt{a \sinh ^4(x)}-\frac{5}{24} a \sinh (x) \cosh (x) \sqrt{a \sinh ^4(x)}+\frac{5}{16} a \coth (x) \sqrt{a \sinh ^4(x)}-\frac{5}{16} a x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}",1,"(5*a*Coth[x]*Sqrt[a*Sinh[x]^4])/16 - (5*a*x*Csch[x]^2*Sqrt[a*Sinh[x]^4])/16 - (5*a*Cosh[x]*Sinh[x]*Sqrt[a*Sinh[x]^4])/24 + (a*Cosh[x]*Sinh[x]^3*Sqrt[a*Sinh[x]^4])/6","A",5,3,10,0.3000,1,"{3207, 2635, 8}"
154,1,36,0,0.0149813,"\int \sqrt{a \sinh ^4(x)} \, dx","Int[Sqrt[a*Sinh[x]^4],x]","\frac{1}{2} \coth (x) \sqrt{a \sinh ^4(x)}-\frac{1}{2} x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}","\frac{1}{2} \coth (x) \sqrt{a \sinh ^4(x)}-\frac{1}{2} x \text{csch}^2(x) \sqrt{a \sinh ^4(x)}",1,"(Coth[x]*Sqrt[a*Sinh[x]^4])/2 - (x*Csch[x]^2*Sqrt[a*Sinh[x]^4])/2","A",3,3,10,0.3000,1,"{3207, 2635, 8}"
155,1,16,0,0.0136318,"\int \frac{1}{\sqrt{a \sinh ^4(x)}} \, dx","Int[1/Sqrt[a*Sinh[x]^4],x]","-\frac{\sinh (x) \cosh (x)}{\sqrt{a \sinh ^4(x)}}","-\frac{\sinh (x) \cosh (x)}{\sqrt{a \sinh ^4(x)}}",1,"-((Cosh[x]*Sinh[x])/Sqrt[a*Sinh[x]^4])","A",3,3,10,0.3000,1,"{3207, 3767, 8}"
156,1,68,0,0.0220898,"\int \frac{1}{\left(a \sinh ^4(x)\right)^{3/2}} \, dx","Int[(a*Sinh[x]^4)^(-3/2),x]","-\frac{\sinh (x) \cosh (x)}{a \sqrt{a \sinh ^4(x)}}-\frac{\cosh ^2(x) \coth ^3(x)}{5 a \sqrt{a \sinh ^4(x)}}+\frac{2 \cosh ^2(x) \coth (x)}{3 a \sqrt{a \sinh ^4(x)}}","-\frac{\sinh (x) \cosh (x)}{a \sqrt{a \sinh ^4(x)}}-\frac{\cosh ^2(x) \coth ^3(x)}{5 a \sqrt{a \sinh ^4(x)}}+\frac{2 \cosh ^2(x) \coth (x)}{3 a \sqrt{a \sinh ^4(x)}}",1,"(2*Cosh[x]^2*Coth[x])/(3*a*Sqrt[a*Sinh[x]^4]) - (Cosh[x]^2*Coth[x]^3)/(5*a*Sqrt[a*Sinh[x]^4]) - (Cosh[x]*Sinh[x])/(a*Sqrt[a*Sinh[x]^4])","A",3,2,10,0.2000,1,"{3207, 3767}"
157,1,118,0,0.0326209,"\int \frac{1}{\left(a \sinh ^4(x)\right)^{5/2}} \, dx","Int[(a*Sinh[x]^4)^(-5/2),x]","-\frac{\sinh (x) \cosh (x)}{a^2 \sqrt{a \sinh ^4(x)}}-\frac{\cosh ^2(x) \coth ^7(x)}{9 a^2 \sqrt{a \sinh ^4(x)}}+\frac{4 \cosh ^2(x) \coth ^5(x)}{7 a^2 \sqrt{a \sinh ^4(x)}}-\frac{6 \cosh ^2(x) \coth ^3(x)}{5 a^2 \sqrt{a \sinh ^4(x)}}+\frac{4 \cosh ^2(x) \coth (x)}{3 a^2 \sqrt{a \sinh ^4(x)}}","-\frac{\sinh (x) \cosh (x)}{a^2 \sqrt{a \sinh ^4(x)}}-\frac{\cosh ^2(x) \coth ^7(x)}{9 a^2 \sqrt{a \sinh ^4(x)}}+\frac{4 \cosh ^2(x) \coth ^5(x)}{7 a^2 \sqrt{a \sinh ^4(x)}}-\frac{6 \cosh ^2(x) \coth ^3(x)}{5 a^2 \sqrt{a \sinh ^4(x)}}+\frac{4 \cosh ^2(x) \coth (x)}{3 a^2 \sqrt{a \sinh ^4(x)}}",1,"(4*Cosh[x]^2*Coth[x])/(3*a^2*Sqrt[a*Sinh[x]^4]) - (6*Cosh[x]^2*Coth[x]^3)/(5*a^2*Sqrt[a*Sinh[x]^4]) + (4*Cosh[x]^2*Coth[x]^5)/(7*a^2*Sqrt[a*Sinh[x]^4]) - (Cosh[x]^2*Coth[x]^7)/(9*a^2*Sqrt[a*Sinh[x]^4]) - (Cosh[x]*Sinh[x])/(a^2*Sqrt[a*Sinh[x]^4])","A",3,2,10,0.2000,1,"{3207, 3767}"
158,1,50,0,0.0549461,"\int \frac{\cosh ^8(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^8/(I + Sinh[x]),x]","-\frac{5 i x}{16}+\frac{\cosh ^7(x)}{7}-\frac{1}{6} i \sinh (x) \cosh ^5(x)-\frac{5}{24} i \sinh (x) \cosh ^3(x)-\frac{5}{16} i \sinh (x) \cosh (x)","-\frac{5 i x}{16}+\frac{\cosh ^7(x)}{7}-\frac{1}{6} i \sinh (x) \cosh ^5(x)-\frac{5}{24} i \sinh (x) \cosh ^3(x)-\frac{5}{16} i \sinh (x) \cosh (x)",1,"((-5*I)/16)*x + Cosh[x]^7/7 - ((5*I)/16)*Cosh[x]*Sinh[x] - ((5*I)/24)*Cosh[x]^3*Sinh[x] - (I/6)*Cosh[x]^5*Sinh[x]","A",5,3,13,0.2308,1,"{2682, 2635, 8}"
159,1,43,0,0.0451925,"\int \frac{\cosh ^7(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^7/(I + Sinh[x]),x]","\frac{1}{6} (-\sinh (x)+i)^6-\frac{4}{5} i (-\sinh (x)+i)^5-(-\sinh (x)+i)^4","\frac{1}{6} (-\sinh (x)+i)^6-\frac{4}{5} i (-\sinh (x)+i)^5-(-\sinh (x)+i)^4",1,"-(I - Sinh[x])^4 - ((4*I)/5)*(I - Sinh[x])^5 + (I - Sinh[x])^6/6","A",3,2,13,0.1538,1,"{2667, 43}"
160,1,38,0,0.047439,"\int \frac{\cosh ^6(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^6/(I + Sinh[x]),x]","-\frac{3 i x}{8}+\frac{\cosh ^5(x)}{5}-\frac{1}{4} i \sinh (x) \cosh ^3(x)-\frac{3}{8} i \sinh (x) \cosh (x)","-\frac{3 i x}{8}+\frac{\cosh ^5(x)}{5}-\frac{1}{4} i \sinh (x) \cosh ^3(x)-\frac{3}{8} i \sinh (x) \cosh (x)",1,"((-3*I)/8)*x + Cosh[x]^5/5 - ((3*I)/8)*Cosh[x]*Sinh[x] - (I/4)*Cosh[x]^3*Sinh[x]","A",4,3,13,0.2308,1,"{2682, 2635, 8}"
161,1,33,0,0.0391253,"\int \frac{\cosh ^5(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^5/(I + Sinh[x]),x]","\frac{\sinh ^4(x)}{4}-\frac{1}{3} i \sinh ^3(x)+\frac{\sinh ^2(x)}{2}-i \sinh (x)","\frac{\sinh ^4(x)}{4}-\frac{1}{3} i \sinh ^3(x)+\frac{\sinh ^2(x)}{2}-i \sinh (x)",1,"(-I)*Sinh[x] + Sinh[x]^2/2 - (I/3)*Sinh[x]^3 + Sinh[x]^4/4","A",3,2,13,0.1538,1,"{2667, 43}"
162,1,26,0,0.0413358,"\int \frac{\cosh ^4(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^4/(I + Sinh[x]),x]","-\frac{i x}{2}+\frac{\cosh ^3(x)}{3}-\frac{1}{2} i \sinh (x) \cosh (x)","-\frac{i x}{2}+\frac{\cosh ^3(x)}{3}-\frac{1}{2} i \sinh (x) \cosh (x)",1,"(-I/2)*x + Cosh[x]^3/3 - (I/2)*Cosh[x]*Sinh[x]","A",3,3,13,0.2308,1,"{2682, 2635, 8}"
163,1,15,0,0.0342303,"\int \frac{\cosh ^3(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^3/(I + Sinh[x]),x]","\frac{\sinh ^2(x)}{2}-i \sinh (x)","\frac{\sinh ^2(x)}{2}-i \sinh (x)",1,"(-I)*Sinh[x] + Sinh[x]^2/2","A",2,1,13,0.07692,1,"{2667}"
164,1,8,0,0.0312799,"\int \frac{\cosh ^2(x)}{i+\sinh (x)} \, dx","Int[Cosh[x]^2/(I + Sinh[x]),x]","\cosh (x)-i x","\cosh (x)-i x",1,"(-I)*x + Cosh[x]","A",2,2,13,0.1538,1,"{2682, 8}"
165,1,7,0,0.0184888,"\int \frac{\cosh (x)}{i+\sinh (x)} \, dx","Int[Cosh[x]/(I + Sinh[x]),x]","\log (\sinh (x)+i)","\log (\sinh (x)+i)",1,"Log[I + Sinh[x]]","A",2,2,11,0.1818,1,"{2667, 31}"
166,1,24,0,0.034876,"\int \frac{\text{sech}(x)}{i+\sinh (x)} \, dx","Int[Sech[x]/(I + Sinh[x]),x]","-\frac{i}{2 (\sinh (x)+i)}-\frac{1}{2} i \tan ^{-1}(\sinh (x))","-\frac{i}{2 (\sinh (x)+i)}-\frac{1}{2} i \tan ^{-1}(\sinh (x))",1,"(-I/2)*ArcTan[Sinh[x]] - (I/2)/(I + Sinh[x])","A",4,3,11,0.2727,1,"{2667, 44, 203}"
167,1,25,0,0.0413912,"\int \frac{\text{sech}^2(x)}{i+\sinh (x)} \, dx","Int[Sech[x]^2/(I + Sinh[x]),x]","-\frac{2}{3} i \tanh (x)-\frac{i \text{sech}(x)}{3 (\sinh (x)+i)}","-\frac{2}{3} i \tanh (x)-\frac{i \text{sech}(x)}{3 (\sinh (x)+i)}",1,"((-I/3)*Sech[x])/(I + Sinh[x]) - ((2*I)/3)*Tanh[x]","A",3,3,13,0.2308,1,"{2672, 3767, 8}"
168,1,52,0,0.0525301,"\int \frac{\text{sech}^3(x)}{i+\sinh (x)} \, dx","Int[Sech[x]^3/(I + Sinh[x]),x]","\frac{i}{8 (-\sinh (x)+i)}-\frac{i}{4 (\sinh (x)+i)}+\frac{1}{8 (\sinh (x)+i)^2}-\frac{3}{8} i \tan ^{-1}(\sinh (x))","\frac{i}{8 (-\sinh (x)+i)}-\frac{i}{4 (\sinh (x)+i)}+\frac{1}{8 (\sinh (x)+i)^2}-\frac{3}{8} i \tan ^{-1}(\sinh (x))",1,"((-3*I)/8)*ArcTan[Sinh[x]] + (I/8)/(I - Sinh[x]) + 1/(8*(I + Sinh[x])^2) - (I/4)/(I + Sinh[x])","A",4,3,13,0.2308,1,"{2667, 44, 203}"
169,1,37,0,0.0437954,"\int \frac{\text{sech}^4(x)}{i+\sinh (x)} \, dx","Int[Sech[x]^4/(I + Sinh[x]),x]","\frac{4}{15} i \tanh ^3(x)-\frac{4}{5} i \tanh (x)-\frac{i \text{sech}^3(x)}{5 (\sinh (x)+i)}","\frac{4}{15} i \tanh ^3(x)-\frac{4}{5} i \tanh (x)-\frac{i \text{sech}^3(x)}{5 (\sinh (x)+i)}",1,"((-I/5)*Sech[x]^3)/(I + Sinh[x]) - ((4*I)/5)*Tanh[x] + ((4*I)/15)*Tanh[x]^3","A",3,2,13,0.1538,1,"{2672, 3767}"
170,1,80,0,0.0666413,"\int \frac{\text{sech}^5(x)}{i+\sinh (x)} \, dx","Int[Sech[x]^5/(I + Sinh[x]),x]","\frac{i}{8 (-\sinh (x)+i)}-\frac{3 i}{16 (\sinh (x)+i)}-\frac{1}{32 (-\sinh (x)+i)^2}+\frac{3}{32 (\sinh (x)+i)^2}+\frac{i}{24 (\sinh (x)+i)^3}-\frac{5}{16} i \tan ^{-1}(\sinh (x))","\frac{i}{8 (-\sinh (x)+i)}-\frac{3 i}{16 (\sinh (x)+i)}-\frac{1}{32 (-\sinh (x)+i)^2}+\frac{3}{32 (\sinh (x)+i)^2}+\frac{i}{24 (\sinh (x)+i)^3}-\frac{5}{16} i \tan ^{-1}(\sinh (x))",1,"((-5*I)/16)*ArcTan[Sinh[x]] - 1/(32*(I - Sinh[x])^2) + (I/8)/(I - Sinh[x]) + (I/24)/(I + Sinh[x])^3 + 3/(32*(I + Sinh[x])^2) - ((3*I)/16)/(I + Sinh[x])","A",4,3,13,0.2308,1,"{2667, 44, 203}"
171,1,40,0,0.0738782,"\int \frac{\cosh ^6(x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]^6/(I + Sinh[x])^2,x]","-\frac{5 x}{8}-\frac{5}{12} i \cosh ^3(x)+\frac{\cosh ^5(x)}{4 (\sinh (x)+i)}-\frac{5}{8} \sinh (x) \cosh (x)","-\frac{5 x}{8}-\frac{5}{12} i \cosh ^3(x)+\frac{\cosh ^5(x)}{4 (\sinh (x)+i)}-\frac{5}{8} \sinh (x) \cosh (x)",1,"(-5*x)/8 - ((5*I)/12)*Cosh[x]^3 - (5*Cosh[x]*Sinh[x])/8 + Cosh[x]^5/(4*(I + Sinh[x]))","A",4,4,13,0.3077,1,"{2679, 2682, 2635, 8}"
172,1,14,0,0.0335453,"\int \frac{\cosh ^5(x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]^5/(I + Sinh[x])^2,x]","-\frac{1}{3} (-\sinh (x)+i)^3","-\frac{1}{3} (-\sinh (x)+i)^3",1,"-(I - Sinh[x])^3/3","A",2,2,13,0.1538,1,"{2667, 32}"
173,1,30,0,0.0675867,"\int \frac{\cosh ^4(x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]^4/(I + Sinh[x])^2,x]","-\frac{3 x}{2}-\frac{3}{2} i \cosh (x)+\frac{\cosh ^3(x)}{2 (\sinh (x)+i)}","-\frac{3 x}{2}-\frac{3}{2} i \cosh (x)+\frac{\cosh ^3(x)}{2 (\sinh (x)+i)}",1,"(-3*x)/2 - ((3*I)/2)*Cosh[x] + Cosh[x]^3/(2*(I + Sinh[x]))","A",3,3,13,0.2308,1,"{2679, 2682, 8}"
174,1,14,0,0.0377104,"\int \frac{\cosh ^3(x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]^3/(I + Sinh[x])^2,x]","\sinh (x)-2 i \log (\sinh (x)+i)","\sinh (x)-2 i \log (\sinh (x)+i)",1,"(-2*I)*Log[I + Sinh[x]] + Sinh[x]","A",3,2,13,0.1538,1,"{2667, 43}"
175,1,14,0,0.0336892,"\int \frac{\cosh ^2(x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]^2/(I + Sinh[x])^2,x]","x-\frac{2 \cosh (x)}{\sinh (x)+i}","x-\frac{2 \cosh (x)}{\sinh (x)+i}",1,"x - (2*Cosh[x])/(I + Sinh[x])","A",2,2,13,0.1538,1,"{2680, 8}"
176,1,10,0,0.0198091,"\int \frac{\cosh (x)}{(i+\sinh (x))^2} \, dx","Int[Cosh[x]/(I + Sinh[x])^2,x]","-\frac{1}{\sinh (x)+i}","-\frac{1}{\sinh (x)+i}",1,"-(I + Sinh[x])^(-1)","A",2,2,11,0.1818,1,"{2667, 32}"
177,1,34,0,0.0391219,"\int \frac{\text{sech}(x)}{(i+\sinh (x))^2} \, dx","Int[Sech[x]/(I + Sinh[x])^2,x]","-\frac{1}{4 (\sinh (x)+i)}-\frac{i}{4 (\sinh (x)+i)^2}-\frac{1}{4} \tan ^{-1}(\sinh (x))","-\frac{1}{4 (\sinh (x)+i)}-\frac{i}{4 (\sinh (x)+i)^2}-\frac{1}{4} \tan ^{-1}(\sinh (x))",1,"-ArcTan[Sinh[x]]/4 - (I/4)/(I + Sinh[x])^2 - 1/(4*(I + Sinh[x]))","A",4,3,11,0.2727,1,"{2667, 44, 203}"
178,1,37,0,0.0708574,"\int \frac{\text{sech}^2(x)}{(i+\sinh (x))^2} \, dx","Int[Sech[x]^2/(I + Sinh[x])^2,x]","-\frac{2 \tanh (x)}{5}-\frac{\text{sech}(x)}{5 (\sinh (x)+i)}-\frac{i \text{sech}(x)}{5 (\sinh (x)+i)^2}","-\frac{2 \tanh (x)}{5}-\frac{\text{sech}(x)}{5 (\sinh (x)+i)}-\frac{i \text{sech}(x)}{5 (\sinh (x)+i)^2}",1,"((-I/5)*Sech[x])/(I + Sinh[x])^2 - Sech[x]/(5*(I + Sinh[x])) - (2*Tanh[x])/5","A",4,3,13,0.2308,1,"{2672, 3767, 8}"
179,1,60,0,0.0551326,"\int \frac{\text{sech}^3(x)}{(i+\sinh (x))^2} \, dx","Int[Sech[x]^3/(I + Sinh[x])^2,x]","\frac{1}{16 (-\sinh (x)+i)}-\frac{3}{16 (\sinh (x)+i)}-\frac{i}{8 (\sinh (x)+i)^2}+\frac{1}{12 (\sinh (x)+i)^3}-\frac{1}{4} \tan ^{-1}(\sinh (x))","\frac{1}{16 (-\sinh (x)+i)}-\frac{3}{16 (\sinh (x)+i)}-\frac{i}{8 (\sinh (x)+i)^2}+\frac{1}{12 (\sinh (x)+i)^3}-\frac{1}{4} \tan ^{-1}(\sinh (x))",1,"-ArcTan[Sinh[x]]/4 + 1/(16*(I - Sinh[x])) + 1/(12*(I + Sinh[x])^3) - (I/8)/(I + Sinh[x])^2 - 3/(16*(I + Sinh[x]))","A",4,3,13,0.2308,1,"{2667, 44, 203}"
180,1,49,0,0.0784621,"\int \frac{\text{sech}^4(x)}{(i+\sinh (x))^2} \, dx","Int[Sech[x]^4/(I + Sinh[x])^2,x]","\frac{4 \tanh ^3(x)}{21}-\frac{4 \tanh (x)}{7}-\frac{\text{sech}^3(x)}{7 (\sinh (x)+i)}-\frac{i \text{sech}^3(x)}{7 (\sinh (x)+i)^2}","\frac{4 \tanh ^3(x)}{21}-\frac{4 \tanh (x)}{7}-\frac{\text{sech}^3(x)}{7 (\sinh (x)+i)}-\frac{i \text{sech}^3(x)}{7 (\sinh (x)+i)^2}",1,"((-I/7)*Sech[x]^3)/(I + Sinh[x])^2 - Sech[x]^3/(7*(I + Sinh[x])) - (4*Tanh[x])/7 + (4*Tanh[x]^3)/21","A",4,2,13,0.1538,1,"{2672, 3767}"
181,1,28,0,0.0436273,"\int \frac{\cosh ^3(x)}{(1+i \sinh (x))^3} \, dx","Int[Cosh[x]^3/(1 + I*Sinh[x])^3,x]","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)",1,"I*Log[I - Sinh[x]] + (2*I)/(1 + I*Sinh[x])","A",3,2,15,0.1333,1,"{2667, 43}"
182,1,20,0,0.0330749,"\int \frac{\cosh ^2(x)}{(1+i \sinh (x))^3} \, dx","Int[Cosh[x]^2/(1 + I*Sinh[x])^3,x]","\frac{i \cosh ^3(x)}{3 (1+i \sinh (x))^3}","\frac{i \cosh ^3(x)}{3 (1+i \sinh (x))^3}",1,"((I/3)*Cosh[x]^3)/(1 + I*Sinh[x])^3","A",1,1,15,0.06667,1,"{2671}"
183,1,16,0,0.0209054,"\int \frac{\cosh (x)}{(1+i \sinh (x))^3} \, dx","Int[Cosh[x]/(1 + I*Sinh[x])^3,x]","\frac{i}{2 (1+i \sinh (x))^2}","\frac{i}{2 (1+i \sinh (x))^2}",1,"(I/2)/(1 + I*Sinh[x])^2","A",2,2,13,0.1538,1,"{2667, 32}"
184,1,26,0,0.0403777,"\int \frac{\cosh ^3(x)}{(1-i \sinh (x))^3} \, dx","Int[Cosh[x]^3/(1 - I*Sinh[x])^3,x]","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)",1,"(-I)*Log[I + Sinh[x]] - (2*I)/(1 - I*Sinh[x])","A",3,2,15,0.1333,1,"{2667, 43}"
185,1,20,0,0.0327605,"\int \frac{\cosh ^2(x)}{(1-i \sinh (x))^3} \, dx","Int[Cosh[x]^2/(1 - I*Sinh[x])^3,x]","-\frac{i \cosh ^3(x)}{3 (1-i \sinh (x))^3}","-\frac{i \cosh ^3(x)}{3 (1-i \sinh (x))^3}",1,"((-I/3)*Cosh[x]^3)/(1 - I*Sinh[x])^3","A",1,1,15,0.06667,1,"{2671}"
186,1,16,0,0.021534,"\int \frac{\cosh (x)}{(1-i \sinh (x))^3} \, dx","Int[Cosh[x]/(1 - I*Sinh[x])^3,x]","-\frac{i}{2 (1-i \sinh (x))^2}","-\frac{i}{2 (1-i \sinh (x))^2}",1,"(-I/2)/(1 - I*Sinh[x])^2","A",2,2,13,0.1538,1,"{2667, 32}"
187,1,138,0,0.1382429,"\int \frac{\cosh ^7(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^7/(a + b*Sinh[x]),x]","\frac{\left(a^2+3 b^2\right) \sinh ^4(x)}{4 b^3}-\frac{a \left(a^2+3 b^2\right) \sinh ^3(x)}{3 b^4}+\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \sinh ^2(x)}{2 b^5}-\frac{a \left(3 a^2 b^2+a^4+3 b^4\right) \sinh (x)}{b^6}+\frac{\left(a^2+b^2\right)^3 \log (a+b \sinh (x))}{b^7}-\frac{a \sinh ^5(x)}{5 b^2}+\frac{\sinh ^6(x)}{6 b}","\frac{\left(a^2+3 b^2\right) \sinh ^4(x)}{4 b^3}-\frac{a \left(a^2+3 b^2\right) \sinh ^3(x)}{3 b^4}+\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \sinh ^2(x)}{2 b^5}-\frac{a \left(3 a^2 b^2+a^4+3 b^4\right) \sinh (x)}{b^6}+\frac{\left(a^2+b^2\right)^3 \log (a+b \sinh (x))}{b^7}-\frac{a \sinh ^5(x)}{5 b^2}+\frac{\sinh ^6(x)}{6 b}",1,"((a^2 + b^2)^3*Log[a + b*Sinh[x]])/b^7 - (a*(a^4 + 3*a^2*b^2 + 3*b^4)*Sinh[x])/b^6 + ((a^4 + 3*a^2*b^2 + 3*b^4)*Sinh[x]^2)/(2*b^5) - (a*(a^2 + 3*b^2)*Sinh[x]^3)/(3*b^4) + ((a^2 + 3*b^2)*Sinh[x]^4)/(4*b^3) - (a*Sinh[x]^5)/(5*b^2) + Sinh[x]^6/(6*b)","A",3,2,13,0.1538,1,"{2668, 697}"
188,1,145,0,0.4144624,"\int \frac{\cosh ^6(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^6/(a + b*Sinh[x]),x]","-\frac{a x \left(20 a^2 b^2+8 a^4+15 b^4\right)}{8 b^6}-\frac{2 \left(a^2+b^2\right)^{5/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^6}+\frac{\cosh ^3(x) \left(4 \left(a^2+b^2\right)-3 a b \sinh (x)\right)}{12 b^3}+\frac{\cosh (x) \left(8 \left(a^2+b^2\right)^2-a b \left(4 a^2+7 b^2\right) \sinh (x)\right)}{8 b^5}+\frac{\cosh ^5(x)}{5 b}","-\frac{a x \left(20 a^2 b^2+8 a^4+15 b^4\right)}{8 b^6}-\frac{2 \left(a^2+b^2\right)^{5/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^6}+\frac{\cosh ^3(x) \left(4 \left(a^2+b^2\right)-3 a b \sinh (x)\right)}{12 b^3}+\frac{\cosh (x) \left(8 \left(a^2+b^2\right)^2-a b \left(4 a^2+7 b^2\right) \sinh (x)\right)}{8 b^5}+\frac{\cosh ^5(x)}{5 b}",1,"-(a*(8*a^4 + 20*a^2*b^2 + 15*b^4)*x)/(8*b^6) - (2*(a^2 + b^2)^(5/2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/b^6 + Cosh[x]^5/(5*b) + (Cosh[x]^3*(4*(a^2 + b^2) - 3*a*b*Sinh[x]))/(12*b^3) + (Cosh[x]*(8*(a^2 + b^2)^2 - a*b*(4*a^2 + 7*b^2)*Sinh[x]))/(8*b^5)","A",7,6,13,0.4615,1,"{2695, 2865, 2735, 2660, 618, 206}"
189,1,81,0,0.0909712,"\int \frac{\cosh ^5(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^5/(a + b*Sinh[x]),x]","\frac{\left(a^2+2 b^2\right) \sinh ^2(x)}{2 b^3}-\frac{a \left(a^2+2 b^2\right) \sinh (x)}{b^4}+\frac{\left(a^2+b^2\right)^2 \log (a+b \sinh (x))}{b^5}-\frac{a \sinh ^3(x)}{3 b^2}+\frac{\sinh ^4(x)}{4 b}","\frac{\left(a^2+2 b^2\right) \sinh ^2(x)}{2 b^3}-\frac{a \left(a^2+2 b^2\right) \sinh (x)}{b^4}+\frac{\left(a^2+b^2\right)^2 \log (a+b \sinh (x))}{b^5}-\frac{a \sinh ^3(x)}{3 b^2}+\frac{\sinh ^4(x)}{4 b}",1,"((a^2 + b^2)^2*Log[a + b*Sinh[x]])/b^5 - (a*(a^2 + 2*b^2)*Sinh[x])/b^4 + ((a^2 + 2*b^2)*Sinh[x]^2)/(2*b^3) - (a*Sinh[x]^3)/(3*b^2) + Sinh[x]^4/(4*b)","A",3,2,13,0.1538,1,"{2668, 697}"
190,1,97,0,0.2407785,"\int \frac{\cosh ^4(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^4/(a + b*Sinh[x]),x]","-\frac{a x \left(2 a^2+3 b^2\right)}{2 b^4}-\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4}+\frac{\cosh (x) \left(2 \left(a^2+b^2\right)-a b \sinh (x)\right)}{2 b^3}+\frac{\cosh ^3(x)}{3 b}","-\frac{a x \left(2 a^2+3 b^2\right)}{2 b^4}-\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4}+\frac{\cosh (x) \left(2 \left(a^2+b^2\right)-a b \sinh (x)\right)}{2 b^3}+\frac{\cosh ^3(x)}{3 b}",1,"-(a*(2*a^2 + 3*b^2)*x)/(2*b^4) - (2*(a^2 + b^2)^(3/2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/b^4 + Cosh[x]^3/(3*b) + (Cosh[x]*(2*(a^2 + b^2) - a*b*Sinh[x]))/(2*b^3)","A",6,6,13,0.4615,1,"{2695, 2865, 2735, 2660, 618, 206}"
191,1,38,0,0.0611395,"\int \frac{\cosh ^3(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^3/(a + b*Sinh[x]),x]","\frac{\left(a^2+b^2\right) \log (a+b \sinh (x))}{b^3}-\frac{a \sinh (x)}{b^2}+\frac{\sinh ^2(x)}{2 b}","\frac{\left(a^2+b^2\right) \log (a+b \sinh (x))}{b^3}-\frac{a \sinh (x)}{b^2}+\frac{\sinh ^2(x)}{2 b}",1,"((a^2 + b^2)*Log[a + b*Sinh[x]])/b^3 - (a*Sinh[x])/b^2 + Sinh[x]^2/(2*b)","A",3,2,13,0.1538,1,"{2668, 697}"
192,1,54,0,0.1089336,"\int \frac{\cosh ^2(x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]^2/(a + b*Sinh[x]),x]","-\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2}-\frac{a x}{b^2}+\frac{\cosh (x)}{b}","-\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2}-\frac{a x}{b^2}+\frac{\cosh (x)}{b}",1,"-((a*x)/b^2) - (2*Sqrt[a^2 + b^2]*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/b^2 + Cosh[x]/b","A",5,5,13,0.3846,1,"{2695, 2735, 2660, 618, 206}"
193,1,11,0,0.0249298,"\int \frac{\cosh (x)}{a+b \sinh (x)} \, dx","Int[Cosh[x]/(a + b*Sinh[x]),x]","\frac{\log (a+b \sinh (x))}{b}","\frac{\log (a+b \sinh (x))}{b}",1,"Log[a + b*Sinh[x]]/b","A",2,2,11,0.1818,1,"{2668, 31}"
194,1,48,0,0.060295,"\int \frac{\text{sech}(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]/(a + b*Sinh[x]),x]","\frac{b \log (a+b \sinh (x))}{a^2+b^2}+\frac{a \tan ^{-1}(\sinh (x))}{a^2+b^2}-\frac{b \log (\cosh (x))}{a^2+b^2}","\frac{b \log (a+b \sinh (x))}{a^2+b^2}+\frac{a \tan ^{-1}(\sinh (x))}{a^2+b^2}-\frac{b \log (\cosh (x))}{a^2+b^2}",1,"(a*ArcTan[Sinh[x]])/(a^2 + b^2) - (b*Log[Cosh[x]])/(a^2 + b^2) + (b*Log[a + b*Sinh[x]])/(a^2 + b^2)","A",6,6,11,0.5455,1,"{2668, 706, 31, 635, 204, 260}"
195,1,59,0,0.0789683,"\int \frac{\text{sech}^2(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]^2/(a + b*Sinh[x]),x]","\frac{\text{sech}(x) (a \sinh (x)+b)}{a^2+b^2}-\frac{2 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}","\frac{\text{sech}(x) (a \sinh (x)+b)}{a^2+b^2}-\frac{2 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}",1,"(-2*b^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(3/2) + (Sech[x]*(b + a*Sinh[x]))/(a^2 + b^2)","A",5,5,13,0.3846,1,"{2696, 12, 2660, 618, 206}"
196,1,87,0,0.1224924,"\int \frac{\text{sech}^3(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]^3/(a + b*Sinh[x]),x]","\frac{b^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{a \left(a^2+3 b^2\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}-\frac{b^3 \log (\cosh (x))}{\left(a^2+b^2\right)^2}+\frac{\text{sech}^2(x) (a \sinh (x)+b)}{2 \left(a^2+b^2\right)}","\frac{b^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{a \left(a^2+3 b^2\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}-\frac{b^3 \log (\cosh (x))}{\left(a^2+b^2\right)^2}+\frac{\text{sech}^2(x) (a \sinh (x)+b)}{2 \left(a^2+b^2\right)}",1,"(a*(a^2 + 3*b^2)*ArcTan[Sinh[x]])/(2*(a^2 + b^2)^2) - (b^3*Log[Cosh[x]])/(a^2 + b^2)^2 + (b^3*Log[a + b*Sinh[x]])/(a^2 + b^2)^2 + (Sech[x]^2*(b + a*Sinh[x]))/(2*(a^2 + b^2))","A",7,6,13,0.4615,1,"{2668, 741, 801, 635, 203, 260}"
197,1,100,0,0.2131256,"\int \frac{\text{sech}^4(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]^4/(a + b*Sinh[x]),x]","-\frac{2 b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}+\frac{\text{sech}^3(x) (a \sinh (x)+b)}{3 \left(a^2+b^2\right)}+\frac{\text{sech}(x) \left(a \left(2 a^2+5 b^2\right) \sinh (x)+3 b^3\right)}{3 \left(a^2+b^2\right)^2}","-\frac{2 b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}+\frac{\text{sech}^3(x) (a \sinh (x)+b)}{3 \left(a^2+b^2\right)}+\frac{\text{sech}(x) \left(a \left(2 a^2+5 b^2\right) \sinh (x)+3 b^3\right)}{3 \left(a^2+b^2\right)^2}",1,"(-2*b^4*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) + (Sech[x]^3*(b + a*Sinh[x]))/(3*(a^2 + b^2)) + (Sech[x]*(3*b^3 + a*(2*a^2 + 5*b^2)*Sinh[x]))/(3*(a^2 + b^2)^2)","A",6,6,13,0.4615,1,"{2696, 2866, 12, 2660, 618, 206}"
198,1,135,0,0.1972504,"\int \frac{\text{sech}^5(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]^5/(a + b*Sinh[x]),x]","\frac{b^5 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a \left(10 a^2 b^2+3 a^4+15 b^4\right) \tan ^{-1}(\sinh (x))}{8 \left(a^2+b^2\right)^3}-\frac{b^5 \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^4(x) (a \sinh (x)+b)}{4 \left(a^2+b^2\right)}+\frac{\text{sech}^2(x) \left(a \left(3 a^2+7 b^2\right) \sinh (x)+4 b^3\right)}{8 \left(a^2+b^2\right)^2}","\frac{b^5 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a \left(10 a^2 b^2+3 a^4+15 b^4\right) \tan ^{-1}(\sinh (x))}{8 \left(a^2+b^2\right)^3}-\frac{b^5 \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^4(x) (a \sinh (x)+b)}{4 \left(a^2+b^2\right)}+\frac{\text{sech}^2(x) \left(a \left(3 a^2+7 b^2\right) \sinh (x)+4 b^3\right)}{8 \left(a^2+b^2\right)^2}",1,"(a*(3*a^4 + 10*a^2*b^2 + 15*b^4)*ArcTan[Sinh[x]])/(8*(a^2 + b^2)^3) - (b^5*Log[Cosh[x]])/(a^2 + b^2)^3 + (b^5*Log[a + b*Sinh[x]])/(a^2 + b^2)^3 + (Sech[x]^4*(b + a*Sinh[x]))/(4*(a^2 + b^2)) + (Sech[x]^2*(4*b^3 + a*(3*a^2 + 7*b^2)*Sinh[x]))/(8*(a^2 + b^2)^2)","A",8,7,13,0.5385,1,"{2668, 741, 823, 801, 635, 203, 260}"
199,1,146,0,0.4173101,"\int \frac{\text{sech}^6(x)}{a+b \sinh (x)} \, dx","Int[Sech[x]^6/(a + b*Sinh[x]),x]","-\frac{2 b^6 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}+\frac{\text{sech}^5(x) (a \sinh (x)+b)}{5 \left(a^2+b^2\right)}+\frac{\text{sech}^3(x) \left(a \left(4 a^2+9 b^2\right) \sinh (x)+5 b^3\right)}{15 \left(a^2+b^2\right)^2}+\frac{\text{sech}(x) \left(a \left(26 a^2 b^2+8 a^4+33 b^4\right) \sinh (x)+15 b^5\right)}{15 \left(a^2+b^2\right)^3}","-\frac{2 b^6 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}+\frac{\text{sech}^5(x) (a \sinh (x)+b)}{5 \left(a^2+b^2\right)}+\frac{\text{sech}^3(x) \left(a \left(4 a^2+9 b^2\right) \sinh (x)+5 b^3\right)}{15 \left(a^2+b^2\right)^2}+\frac{\text{sech}(x) \left(a \left(26 a^2 b^2+8 a^4+33 b^4\right) \sinh (x)+15 b^5\right)}{15 \left(a^2+b^2\right)^3}",1,"(-2*b^6*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(7/2) + (Sech[x]^5*(b + a*Sinh[x]))/(5*(a^2 + b^2)) + (Sech[x]^3*(5*b^3 + a*(4*a^2 + 9*b^2)*Sinh[x]))/(15*(a^2 + b^2)^2) + (Sech[x]*(15*b^5 + a*(8*a^4 + 26*a^2*b^2 + 33*b^4)*Sinh[x]))/(15*(a^2 + b^2)^3)","A",7,6,13,0.4615,1,"{2696, 2866, 12, 2660, 618, 206}"
200,1,94,0,0.2200923,"\int \frac{\cosh ^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Cosh[x]^4/(a + b*Sinh[x])^2,x]","\frac{3 x \left(2 a^2+b^2\right)}{2 b^4}+\frac{6 a \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4}-\frac{3 \cosh (x) (2 a-b \sinh (x))}{2 b^3}-\frac{\cosh ^3(x)}{b (a+b \sinh (x))}","\frac{3 x \left(2 a^2+b^2\right)}{2 b^4}+\frac{6 a \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4}-\frac{3 \cosh (x) (2 a-b \sinh (x))}{2 b^3}-\frac{\cosh ^3(x)}{b (a+b \sinh (x))}",1,"(3*(2*a^2 + b^2)*x)/(2*b^4) + (6*a*Sqrt[a^2 + b^2]*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/b^4 - (3*Cosh[x]*(2*a - b*Sinh[x]))/(2*b^3) - Cosh[x]^3/(b*(a + b*Sinh[x]))","A",6,6,13,0.4615,1,"{2693, 2865, 2735, 2660, 618, 206}"
201,1,40,0,0.059733,"\int \frac{\cosh ^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Cosh[x]^3/(a + b*Sinh[x])^2,x]","-\frac{a^2+b^2}{b^3 (a+b \sinh (x))}-\frac{2 a \log (a+b \sinh (x))}{b^3}+\frac{\sinh (x)}{b^2}","-\frac{a^2+b^2}{b^3 (a+b \sinh (x))}-\frac{2 a \log (a+b \sinh (x))}{b^3}+\frac{\sinh (x)}{b^2}",1,"(-2*a*Log[a + b*Sinh[x]])/b^3 + Sinh[x]/b^2 - (a^2 + b^2)/(b^3*(a + b*Sinh[x]))","A",3,2,13,0.1538,1,"{2668, 697}"
202,1,62,0,0.1113459,"\int \frac{\cosh ^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Cosh[x]^2/(a + b*Sinh[x])^2,x]","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{\cosh (x)}{b (a+b \sinh (x))}+\frac{x}{b^2}","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{\cosh (x)}{b (a+b \sinh (x))}+\frac{x}{b^2}",1,"x/b^2 + (2*a*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^2*Sqrt[a^2 + b^2]) - Cosh[x]/(b*(a + b*Sinh[x]))","A",5,5,13,0.3846,1,"{2693, 2735, 2660, 618, 206}"
203,1,13,0,0.0253128,"\int \frac{\cosh (x)}{(a+b \sinh (x))^2} \, dx","Int[Cosh[x]/(a + b*Sinh[x])^2,x]","-\frac{1}{b (a+b \sinh (x))}","-\frac{1}{b (a+b \sinh (x))}",1,"-(1/(b*(a + b*Sinh[x])))","A",2,2,11,0.1818,1,"{2668, 32}"
204,1,79,0,0.1029354,"\int \frac{\text{sech}(x)}{(a+b \sinh (x))^2} \, dx","Int[Sech[x]/(a + b*Sinh[x])^2,x]","-\frac{b}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{2 a b \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{\left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}-\frac{2 a b \log (\cosh (x))}{\left(a^2+b^2\right)^2}","-\frac{b}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{2 a b \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{\left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}-\frac{2 a b \log (\cosh (x))}{\left(a^2+b^2\right)^2}",1,"((a^2 - b^2)*ArcTan[Sinh[x]])/(a^2 + b^2)^2 - (2*a*b*Log[Cosh[x]])/(a^2 + b^2)^2 + (2*a*b*Log[a + b*Sinh[x]])/(a^2 + b^2)^2 - b/((a^2 + b^2)*(a + b*Sinh[x]))","A",7,6,11,0.5455,1,"{2668, 710, 801, 635, 203, 260}"
205,1,93,0,0.1703518,"\int \frac{\text{sech}^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Sech[x]^2/(a + b*Sinh[x])^2,x]","-\frac{6 a b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{b \text{sech}(x)}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\text{sech}(x) \left(\left(a^2-2 b^2\right) \sinh (x)+3 a b\right)}{\left(a^2+b^2\right)^2}","-\frac{6 a b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{b \text{sech}(x)}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\text{sech}(x) \left(\left(a^2-2 b^2\right) \sinh (x)+3 a b\right)}{\left(a^2+b^2\right)^2}",1,"(-6*a*b^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) - (b*Sech[x])/((a^2 + b^2)*(a + b*Sinh[x])) + (Sech[x]*(3*a*b + (a^2 - 2*b^2)*Sinh[x]))/(a^2 + b^2)^2","A",6,6,13,0.4615,1,"{2694, 2866, 12, 2660, 618, 206}"
206,1,136,0,0.1645616,"\int \frac{\text{sech}^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Sech[x]^3/(a + b*Sinh[x])^2,x]","\frac{b \left(a^2-3 b^2\right)}{2 \left(a^2+b^2\right)^2 (a+b \sinh (x))}+\frac{4 a b^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{\left(6 a^2 b^2+a^4-3 b^4\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^3}-\frac{4 a b^3 \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^2(x) (a \sinh (x)+b)}{2 \left(a^2+b^2\right) (a+b \sinh (x))}","\frac{b \left(a^2-3 b^2\right)}{2 \left(a^2+b^2\right)^2 (a+b \sinh (x))}+\frac{4 a b^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{\left(6 a^2 b^2+a^4-3 b^4\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^3}-\frac{4 a b^3 \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^2(x) (a \sinh (x)+b)}{2 \left(a^2+b^2\right) (a+b \sinh (x))}",1,"((a^4 + 6*a^2*b^2 - 3*b^4)*ArcTan[Sinh[x]])/(2*(a^2 + b^2)^3) - (4*a*b^3*Log[Cosh[x]])/(a^2 + b^2)^3 + (4*a*b^3*Log[a + b*Sinh[x]])/(a^2 + b^2)^3 + (b*(a^2 - 3*b^2))/(2*(a^2 + b^2)^2*(a + b*Sinh[x])) + (Sech[x]^2*(b + a*Sinh[x]))/(2*(a^2 + b^2)*(a + b*Sinh[x]))","A",7,6,13,0.4615,1,"{2668, 741, 801, 635, 203, 260}"
207,1,144,0,0.3104334,"\int \frac{\text{sech}^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Sech[x]^4/(a + b*Sinh[x])^2,x]","-\frac{10 a b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{b \text{sech}^3(x)}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\text{sech}^3(x) \left(\left(a^2-4 b^2\right) \sinh (x)+5 a b\right)}{3 \left(a^2+b^2\right)^2}+\frac{\text{sech}(x) \left(\left(9 a^2 b^2+2 a^4-8 b^4\right) \sinh (x)+15 a b^3\right)}{3 \left(a^2+b^2\right)^3}","-\frac{10 a b^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{b \text{sech}^3(x)}{\left(a^2+b^2\right) (a+b \sinh (x))}+\frac{\text{sech}^3(x) \left(\left(a^2-4 b^2\right) \sinh (x)+5 a b\right)}{3 \left(a^2+b^2\right)^2}+\frac{\text{sech}(x) \left(\left(9 a^2 b^2+2 a^4-8 b^4\right) \sinh (x)+15 a b^3\right)}{3 \left(a^2+b^2\right)^3}",1,"(-10*a*b^4*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(7/2) - (b*Sech[x]^3)/((a^2 + b^2)*(a + b*Sinh[x])) + (Sech[x]^3*(5*a*b + (a^2 - 4*b^2)*Sinh[x]))/(3*(a^2 + b^2)^2) + (Sech[x]*(15*a*b^3 + (2*a^4 + 9*a^2*b^2 - 8*b^4)*Sinh[x]))/(3*(a^2 + b^2)^3)","A",7,6,13,0.4615,1,"{2694, 2866, 12, 2660, 618, 206}"
208,1,31,0,0.0789464,"\int \frac{\tanh ^4(x)}{i+\sinh (x)} \, dx","Int[Tanh[x]^4/(I + Sinh[x]),x]","-\frac{1}{5} i \tanh ^5(x)-\frac{1}{5} \text{sech}^5(x)+\frac{2 \text{sech}^3(x)}{3}-\text{sech}(x)","-\frac{1}{5} i \tanh ^5(x)-\frac{1}{5} \text{sech}^5(x)+\frac{2 \text{sech}^3(x)}{3}-\text{sech}(x)",1,"-Sech[x] + (2*Sech[x]^3)/3 - Sech[x]^5/5 - (I/5)*Tanh[x]^5","A",6,5,13,0.3846,1,"{2706, 2607, 30, 2606, 194}"
209,1,36,0,0.091929,"\int \frac{\tanh ^3(x)}{i+\sinh (x)} \, dx","Int[Tanh[x]^3/(I + Sinh[x]),x]","-\frac{1}{4} i \tanh ^4(x)+\frac{3}{8} \tan ^{-1}(\sinh (x))-\frac{1}{4} \tanh ^3(x) \text{sech}(x)-\frac{3}{8} \tanh (x) \text{sech}(x)","-\frac{1}{4} i \tanh ^4(x)+\frac{3}{8} \tan ^{-1}(\sinh (x))-\frac{1}{4} \tanh ^3(x) \text{sech}(x)-\frac{3}{8} \tanh (x) \text{sech}(x)",1,"(3*ArcTan[Sinh[x]])/8 - (3*Sech[x]*Tanh[x])/8 - (Sech[x]*Tanh[x]^3)/4 - (I/4)*Tanh[x]^4","A",6,5,13,0.3846,1,"{2706, 2607, 30, 2611, 3770}"
210,1,23,0,0.0762514,"\int \frac{\tanh ^2(x)}{i+\sinh (x)} \, dx","Int[Tanh[x]^2/(I + Sinh[x]),x]","-\frac{1}{3} i \tanh ^3(x)+\frac{\text{sech}^3(x)}{3}-\text{sech}(x)","-\frac{1}{3} i \tanh ^3(x)+\frac{\text{sech}^3(x)}{3}-\text{sech}(x)",1,"-Sech[x] + Sech[x]^3/3 - (I/3)*Tanh[x]^3","A",5,4,13,0.3077,1,"{2706, 2607, 30, 2606}"
211,1,26,0,0.0551926,"\int \frac{\tanh (x)}{i+\sinh (x)} \, dx","Int[Tanh[x]/(I + Sinh[x]),x]","\frac{1}{2} i \text{sech}^2(x)+\frac{1}{2} \tan ^{-1}(\sinh (x))-\frac{1}{2} \tanh (x) \text{sech}(x)","\frac{1}{2} i \text{sech}^2(x)+\frac{1}{2} \tan ^{-1}(\sinh (x))-\frac{1}{2} \tanh (x) \text{sech}(x)",1,"ArcTan[Sinh[x]]/2 + (I/2)*Sech[x]^2 - (Sech[x]*Tanh[x])/2","A",5,5,11,0.4545,1,"{2706, 2606, 30, 2611, 3770}"
212,1,19,0,0.0324123,"\int \frac{\coth (x)}{i+\sinh (x)} \, dx","Int[Coth[x]/(I + Sinh[x]),x]","i \log (\sinh (x)+i)-i \log (\sinh (x))","i \log (\sinh (x)+i)-i \log (\sinh (x))",1,"(-I)*Log[Sinh[x]] + I*Log[I + Sinh[x]]","A",4,4,11,0.3636,1,"{2707, 36, 29, 31}"
213,1,12,0,0.0444647,"\int \frac{\coth ^2(x)}{i+\sinh (x)} \, dx","Int[Coth[x]^2/(I + Sinh[x]),x]","-\tanh ^{-1}(\cosh (x))+i \coth (x)","-\tanh ^{-1}(\cosh (x))+i \coth (x)",1,"-ArcTanh[Cosh[x]] + I*Coth[x]","A",4,4,13,0.3077,1,"{2706, 3767, 8, 3770}"
214,1,15,0,0.0585608,"\int \frac{\coth ^3(x)}{i+\sinh (x)} \, dx","Int[Coth[x]^3/(I + Sinh[x]),x]","-\text{csch}(x)+\frac{1}{2} i \text{csch}^2(x)","-\text{csch}(x)+\frac{1}{2} i \text{csch}^2(x)",1,"-Csch[x] + (I/2)*Csch[x]^2","A",5,4,13,0.3077,1,"{2706, 2606, 30, 8}"
215,1,26,0,0.0779558,"\int \frac{\coth ^4(x)}{i+\sinh (x)} \, dx","Int[Coth[x]^4/(I + Sinh[x]),x]","\frac{1}{3} i \coth ^3(x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)","\frac{1}{3} i \coth ^3(x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)",1,"-ArcTanh[Cosh[x]]/2 + (I/3)*Coth[x]^3 - (Coth[x]*Csch[x])/2","A",5,5,13,0.3846,1,"{2706, 2607, 30, 2611, 3770}"
216,1,23,0,0.0768823,"\int \frac{\coth ^5(x)}{i+\sinh (x)} \, dx","Int[Coth[x]^5/(I + Sinh[x]),x]","\frac{1}{4} i \coth ^4(x)-\frac{\text{csch}^3(x)}{3}-\text{csch}(x)","\frac{1}{4} i \coth ^4(x)-\frac{\text{csch}^3(x)}{3}-\text{csch}(x)",1,"(I/4)*Coth[x]^4 - Csch[x] - Csch[x]^3/3","A",5,4,13,0.3077,1,"{2706, 2607, 30, 2606}"
217,1,36,0,0.0969328,"\int \frac{\coth ^6(x)}{i+\sinh (x)} \, dx","Int[Coth[x]^6/(I + Sinh[x]),x]","\frac{1}{5} i \coth ^5(x)-\frac{3}{8} \tanh ^{-1}(\cosh (x))-\frac{1}{4} \coth ^3(x) \text{csch}(x)-\frac{3}{8} \coth (x) \text{csch}(x)","\frac{1}{5} i \coth ^5(x)-\frac{3}{8} \tanh ^{-1}(\cosh (x))-\frac{1}{4} \coth ^3(x) \text{csch}(x)-\frac{3}{8} \coth (x) \text{csch}(x)",1,"(-3*ArcTanh[Cosh[x]])/8 + (I/5)*Coth[x]^5 - (3*Coth[x]*Csch[x])/8 - (Coth[x]^3*Csch[x])/4","A",6,5,13,0.3846,1,"{2706, 2607, 30, 2611, 3770}"
218,1,47,0,0.1228533,"\int \frac{\tanh ^4(x)}{(i+\sinh (x))^2} \, dx","Int[Tanh[x]^4/(I + Sinh[x])^2,x]","\frac{2 \tanh ^7(x)}{7}-\frac{\tanh ^5(x)}{5}+\frac{2}{7} i \text{sech}^7(x)-\frac{4}{5} i \text{sech}^5(x)+\frac{2}{3} i \text{sech}^3(x)","\frac{2 \tanh ^7(x)}{7}-\frac{\tanh ^5(x)}{5}+\frac{2}{7} i \text{sech}^7(x)-\frac{4}{5} i \text{sech}^5(x)+\frac{2}{3} i \text{sech}^3(x)",1,"((2*I)/3)*Sech[x]^3 - ((4*I)/5)*Sech[x]^5 + ((2*I)/7)*Sech[x]^7 - Tanh[x]^5/5 + (2*Tanh[x]^7)/7","A",10,6,13,0.4615,1,"{2711, 2607, 14, 2606, 270, 30}"
219,1,66,0,0.0645879,"\int \frac{\tanh ^3(x)}{(i+\sinh (x))^2} \, dx","Int[Tanh[x]^3/(I + Sinh[x])^2,x]","-\frac{i}{16 (-\sinh (x)+i)}-\frac{3 i}{16 (\sinh (x)+i)}-\frac{1}{4 (\sinh (x)+i)^2}+\frac{i}{12 (\sinh (x)+i)^3}-\frac{1}{8} i \tan ^{-1}(\sinh (x))","-\frac{i}{16 (-\sinh (x)+i)}-\frac{3 i}{16 (\sinh (x)+i)}-\frac{1}{4 (\sinh (x)+i)^2}+\frac{i}{12 (\sinh (x)+i)^3}-\frac{1}{8} i \tan ^{-1}(\sinh (x))",1,"(-I/8)*ArcTan[Sinh[x]] - (I/16)/(I - Sinh[x]) + (I/12)/(I + Sinh[x])^3 - 1/(4*(I + Sinh[x])^2) - ((3*I)/16)/(I + Sinh[x])","A",4,3,13,0.2308,1,"{2707, 88, 203}"
220,1,37,0,0.1182391,"\int \frac{\tanh ^2(x)}{(i+\sinh (x))^2} \, dx","Int[Tanh[x]^2/(I + Sinh[x])^2,x]","\frac{2 \tanh ^5(x)}{5}-\frac{\tanh ^3(x)}{3}-\frac{2}{5} i \text{sech}^5(x)+\frac{2}{3} i \text{sech}^3(x)","\frac{2 \tanh ^5(x)}{5}-\frac{\tanh ^3(x)}{3}-\frac{2}{5} i \text{sech}^5(x)+\frac{2}{3} i \text{sech}^3(x)",1,"((2*I)/3)*Sech[x]^3 - ((2*I)/5)*Sech[x]^5 - Tanh[x]^3/3 + (2*Tanh[x]^5)/5","A",10,5,13,0.3846,1,"{2711, 2607, 14, 2606, 30}"
221,1,36,0,0.0365092,"\int \frac{\tanh (x)}{(i+\sinh (x))^2} \, dx","Int[Tanh[x]/(I + Sinh[x])^2,x]","-\frac{i}{4 (\sinh (x)+i)}-\frac{1}{4 (\sinh (x)+i)^2}-\frac{1}{4} i \tan ^{-1}(\sinh (x))","-\frac{i}{4 (\sinh (x)+i)}-\frac{1}{4 (\sinh (x)+i)^2}-\frac{1}{4} i \tan ^{-1}(\sinh (x))",1,"(-I/4)*ArcTan[Sinh[x]] - 1/(4*(I + Sinh[x])^2) - (I/4)/(I + Sinh[x])","A",4,3,11,0.2727,1,"{2707, 77, 203}"
222,1,25,0,0.0400701,"\int \frac{\coth (x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]/(I + Sinh[x])^2,x]","-\frac{i}{\sinh (x)+i}-\log (\sinh (x))+\log (\sinh (x)+i)","-\frac{i}{\sinh (x)+i}-\log (\sinh (x))+\log (\sinh (x)+i)",1,"-Log[Sinh[x]] + Log[I + Sinh[x]] - I/(I + Sinh[x])","A",3,2,11,0.1818,1,"{2707, 44}"
223,1,26,0,0.0677855,"\int \frac{\coth ^2(x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]^2/(I + Sinh[x])^2,x]","\coth (x)+2 i \tanh ^{-1}(\cosh (x))+\frac{2 i \coth (x)}{-\text{csch}(x)+i}","\coth (x)+2 i \tanh ^{-1}(\cosh (x))+\frac{2 i \coth (x)}{-\text{csch}(x)+i}",1,"(2*I)*ArcTanh[Cosh[x]] + Coth[x] + ((2*I)*Coth[x])/(I - Csch[x])","A",7,5,13,0.3846,1,"{2709, 3770, 3767, 8, 3777}"
224,1,29,0,0.0480786,"\int \frac{\coth ^3(x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]^3/(I + Sinh[x])^2,x]","\frac{\text{csch}^2(x)}{2}+2 i \text{csch}(x)+2 \log (\sinh (x))-2 \log (\sinh (x)+i)","\frac{\text{csch}^2(x)}{2}+2 i \text{csch}(x)+2 \log (\sinh (x))-2 \log (\sinh (x)+i)",1,"(2*I)*Csch[x] + Csch[x]^2/2 + 2*Log[Sinh[x]] - 2*Log[I + Sinh[x]]","A",3,2,13,0.1538,1,"{2707, 77}"
225,1,28,0,0.094395,"\int \frac{\coth ^4(x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]^4/(I + Sinh[x])^2,x]","\frac{\coth ^3(x)}{3}-2 \coth (x)-i \tanh ^{-1}(\cosh (x))+i \coth (x) \text{csch}(x)","\frac{\coth ^3(x)}{3}-2 \coth (x)-i \tanh ^{-1}(\cosh (x))+i \coth (x) \text{csch}(x)",1,"(-I)*ArcTanh[Cosh[x]] - 2*Coth[x] + Coth[x]^3/3 + I*Coth[x]*Csch[x]","A",9,6,13,0.4615,1,"{2708, 2757, 3767, 8, 3768, 3770}"
226,1,27,0,0.0427058,"\int \frac{\coth ^5(x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]^5/(I + Sinh[x])^2,x]","\frac{\text{csch}^4(x)}{4}+\frac{2}{3} i \text{csch}^3(x)-\frac{\text{csch}^2(x)}{2}","\frac{\text{csch}^4(x)}{4}+\frac{2}{3} i \text{csch}^3(x)-\frac{\text{csch}^2(x)}{2}",1,"-Csch[x]^2/2 + ((2*I)/3)*Csch[x]^3 + Csch[x]^4/4","A",3,2,13,0.1538,1,"{2707, 43}"
227,1,48,0,0.0905616,"\int \frac{\coth ^6(x)}{(i+\sinh (x))^2} \, dx","Int[Coth[x]^6/(I + Sinh[x])^2,x]","\frac{\coth ^5(x)}{5}-\frac{2 \coth ^3(x)}{3}-\frac{1}{4} i \tanh ^{-1}(\cosh (x))+\frac{1}{2} i \coth (x) \text{csch}^3(x)+\frac{1}{4} i \coth (x) \text{csch}(x)","\frac{\coth ^5(x)}{5}-\frac{2 \coth ^3(x)}{3}-\frac{1}{4} i \tanh ^{-1}(\cosh (x))+\frac{1}{2} i \coth (x) \text{csch}^3(x)+\frac{1}{4} i \coth (x) \text{csch}(x)",1,"(-I/4)*ArcTanh[Cosh[x]] - (2*Coth[x]^3)/3 + Coth[x]^5/5 + (I/4)*Coth[x]*Csch[x] + (I/2)*Coth[x]*Csch[x]^3","A",11,5,13,0.3846,1,"{2709, 3767, 8, 3768, 3770}"
228,1,124,0,0.1840676,"\int \frac{\tanh ^4(x)}{a+b \sinh (x)} \, dx","Int[Tanh[x]^4/(a + b*Sinh[x]),x]","-\frac{2 a^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{a \tanh ^3(x)}{3 \left(a^2+b^2\right)}-\frac{a^3 \tanh (x)}{\left(a^2+b^2\right)^2}+\frac{b \text{sech}^3(x)}{3 \left(a^2+b^2\right)}-\frac{a^2 b \text{sech}(x)}{\left(a^2+b^2\right)^2}-\frac{b \text{sech}(x)}{a^2+b^2}","-\frac{2 a^4 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{a \tanh ^3(x)}{3 \left(a^2+b^2\right)}-\frac{a^3 \tanh (x)}{\left(a^2+b^2\right)^2}+\frac{b \text{sech}^3(x)}{3 \left(a^2+b^2\right)}-\frac{a^2 b \text{sech}(x)}{\left(a^2+b^2\right)^2}-\frac{b \text{sech}(x)}{a^2+b^2}",1,"(-2*a^4*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) - (a^2*b*Sech[x])/(a^2 + b^2)^2 - (b*Sech[x])/(a^2 + b^2) + (b*Sech[x]^3)/(3*(a^2 + b^2)) - (a^3*Tanh[x])/(a^2 + b^2)^2 - (a*Tanh[x]^3)/(3*(a^2 + b^2))","A",13,9,13,0.6923,1,"{2727, 2607, 30, 2606, 3767, 8, 2660, 618, 206}"
229,1,88,0,0.175015,"\int \frac{\tanh ^3(x)}{a+b \sinh (x)} \, dx","Int[Tanh[x]^3/(a + b*Sinh[x]),x]","-\frac{a^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{b \left(3 a^2+b^2\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}+\frac{a^3 \log (\cosh (x))}{\left(a^2+b^2\right)^2}+\frac{\text{sech}^2(x) (a-b \sinh (x))}{2 \left(a^2+b^2\right)}","-\frac{a^3 \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{b \left(3 a^2+b^2\right) \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}+\frac{a^3 \log (\cosh (x))}{\left(a^2+b^2\right)^2}+\frac{\text{sech}^2(x) (a-b \sinh (x))}{2 \left(a^2+b^2\right)}",1,"(b*(3*a^2 + b^2)*ArcTan[Sinh[x]])/(2*(a^2 + b^2)^2) + (a^3*Log[Cosh[x]])/(a^2 + b^2)^2 - (a^3*Log[a + b*Sinh[x]])/(a^2 + b^2)^2 + (Sech[x]^2*(a - b*Sinh[x]))/(2*(a^2 + b^2))","A",7,6,13,0.4615,1,"{2721, 1647, 801, 635, 203, 260}"
230,1,69,0,0.0914194,"\int \frac{\tanh ^2(x)}{a+b \sinh (x)} \, dx","Int[Tanh[x]^2/(a + b*Sinh[x]),x]","-\frac{2 a^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{a \tanh (x)}{a^2+b^2}-\frac{b \text{sech}(x)}{a^2+b^2}","-\frac{2 a^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{a \tanh (x)}{a^2+b^2}-\frac{b \text{sech}(x)}{a^2+b^2}",1,"(-2*a^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(3/2) - (b*Sech[x])/(a^2 + b^2) - (a*Tanh[x])/(a^2 + b^2)","A",8,7,13,0.5385,1,"{2727, 3767, 8, 2606, 2660, 618, 206}"
231,1,48,0,0.0688227,"\int \frac{\tanh (x)}{a+b \sinh (x)} \, dx","Int[Tanh[x]/(a + b*Sinh[x]),x]","-\frac{a \log (a+b \sinh (x))}{a^2+b^2}+\frac{b \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{a \log (\cosh (x))}{a^2+b^2}","-\frac{a \log (a+b \sinh (x))}{a^2+b^2}+\frac{b \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{a \log (\cosh (x))}{a^2+b^2}",1,"(b*ArcTan[Sinh[x]])/(a^2 + b^2) + (a*Log[Cosh[x]])/(a^2 + b^2) - (a*Log[a + b*Sinh[x]])/(a^2 + b^2)","A",6,5,11,0.4545,1,"{2721, 801, 635, 203, 260}"
232,1,20,0,0.0408944,"\int \frac{\coth (x)}{a+b \sinh (x)} \, dx","Int[Coth[x]/(a + b*Sinh[x]),x]","\frac{\log (\sinh (x))}{a}-\frac{\log (a+b \sinh (x))}{a}","\frac{\log (\sinh (x))}{a}-\frac{\log (a+b \sinh (x))}{a}",1,"Log[Sinh[x]]/a - Log[a + b*Sinh[x]]/a","A",4,4,11,0.3636,1,"{2721, 36, 29, 31}"
233,1,56,0,0.2347054,"\int \frac{\coth ^2(x)}{a+b \sinh (x)} \, dx","Int[Coth[x]^2/(a + b*Sinh[x]),x]","-\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2}+\frac{b \tanh ^{-1}(\cosh (x))}{a^2}-\frac{\coth (x)}{a}","-\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2}+\frac{b \tanh ^{-1}(\cosh (x))}{a^2}-\frac{\coth (x)}{a}",1,"(b*ArcTanh[Cosh[x]])/a^2 - (2*Sqrt[a^2 + b^2]*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/a^2 - Coth[x]/a","A",7,7,13,0.5385,1,"{2723, 3056, 3001, 3770, 2660, 618, 206}"
234,1,52,0,0.0947691,"\int \frac{\coth ^3(x)}{a+b \sinh (x)} \, dx","Int[Coth[x]^3/(a + b*Sinh[x]),x]","\frac{\left(a^2+b^2\right) \log (\sinh (x))}{a^3}-\frac{\left(a^2+b^2\right) \log (a+b \sinh (x))}{a^3}+\frac{b \text{csch}(x)}{a^2}-\frac{\text{csch}^2(x)}{2 a}","\frac{\left(a^2+b^2\right) \log (\sinh (x))}{a^3}-\frac{\left(a^2+b^2\right) \log (a+b \sinh (x))}{a^3}+\frac{b \text{csch}(x)}{a^2}-\frac{\text{csch}^2(x)}{2 a}",1,"(b*Csch[x])/a^2 - Csch[x]^2/(2*a) + ((a^2 + b^2)*Log[Sinh[x]])/a^3 - ((a^2 + b^2)*Log[a + b*Sinh[x]])/a^3","A",3,2,13,0.1538,1,"{2721, 894}"
235,1,108,0,0.413013,"\int \frac{\coth ^4(x)}{a+b \sinh (x)} \, dx","Int[Coth[x]^4/(a + b*Sinh[x]),x]","-\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4}-\frac{\left(4 a^2+3 b^2\right) \coth (x)}{3 a^3}+\frac{b \left(3 a^2+2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}+\frac{b \coth (x) \text{csch}(x)}{2 a^2}-\frac{\coth (x) \text{csch}^2(x)}{3 a}","-\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4}-\frac{\left(4 a^2+3 b^2\right) \coth (x)}{3 a^3}+\frac{b \left(3 a^2+2 b^2\right) \tanh ^{-1}(\cosh (x))}{2 a^4}+\frac{b \coth (x) \text{csch}(x)}{2 a^2}-\frac{\coth (x) \text{csch}^2(x)}{3 a}",1,"(b*(3*a^2 + 2*b^2)*ArcTanh[Cosh[x]])/(2*a^4) - (2*(a^2 + b^2)^(3/2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/a^4 - ((4*a^2 + 3*b^2)*Coth[x])/(3*a^3) + (b*Coth[x]*Csch[x])/(2*a^2) - (Coth[x]*Csch[x]^2)/(3*a)","A",7,7,13,0.5385,1,"{2725, 3055, 3001, 3770, 2660, 618, 206}"
236,1,224,0,0.434703,"\int \frac{\tanh ^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Tanh[x]^4/(a + b*Sinh[x])^2,x]","-\frac{2 a^5 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}+\frac{8 a^3 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{\left(a^2-b^2\right) \tanh ^3(x)}{3 \left(a^2+b^2\right)^2}-\frac{\left(-3 a^2 b^2+2 a^4-b^4\right) \tanh (x)}{\left(a^2+b^2\right)^3}+\frac{\left(a^2-b^2\right) \tanh (x)}{\left(a^2+b^2\right)^2}+\frac{2 a b \text{sech}^3(x)}{3 \left(a^2+b^2\right)^2}-\frac{4 a^3 b \text{sech}(x)}{\left(a^2+b^2\right)^3}-\frac{a^4 b \cosh (x)}{\left(a^2+b^2\right)^3 (a+b \sinh (x))}","-\frac{2 a^5 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}+\frac{8 a^3 b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{7/2}}-\frac{\left(a^2-b^2\right) \tanh ^3(x)}{3 \left(a^2+b^2\right)^2}-\frac{\left(-3 a^2 b^2+2 a^4-b^4\right) \tanh (x)}{\left(a^2+b^2\right)^3}+\frac{\left(a^2-b^2\right) \tanh (x)}{\left(a^2+b^2\right)^2}+\frac{2 a b \text{sech}^3(x)}{3 \left(a^2+b^2\right)^2}-\frac{4 a^3 b \text{sech}(x)}{\left(a^2+b^2\right)^3}-\frac{a^4 b \cosh (x)}{\left(a^2+b^2\right)^3 (a+b \sinh (x))}",1,"(-2*a^5*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(7/2) + (8*a^3*b^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(7/2) - (4*a^3*b*Sech[x])/(a^2 + b^2)^3 + (2*a*b*Sech[x]^3)/(3*(a^2 + b^2)^2) - (a^4*b*Cosh[x])/((a^2 + b^2)^3*(a + b*Sinh[x])) + ((a^2 - b^2)*Tanh[x])/(a^2 + b^2)^2 - ((2*a^4 - 3*a^2*b^2 - b^4)*Tanh[x])/(a^2 + b^2)^3 - ((a^2 - b^2)*Tanh[x]^3)/(3*(a^2 + b^2)^2)","A",16,9,13,0.6923,1,"{2731, 2664, 12, 2660, 618, 206, 2669, 3767, 8}"
237,1,135,0,0.3559712,"\int \frac{\tanh ^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Tanh[x]^3/(a + b*Sinh[x])^2,x]","\frac{a^3}{\left(a^2+b^2\right)^2 (a+b \sinh (x))}-\frac{a^2 \left(a^2-3 b^2\right) \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a b \left(3 a^2-b^2\right) \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a^2 \left(a^2-3 b^2\right) \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^2(x) \left(a^2-2 a b \sinh (x)-b^2\right)}{2 \left(a^2+b^2\right)^2}","\frac{a^3}{\left(a^2+b^2\right)^2 (a+b \sinh (x))}-\frac{a^2 \left(a^2-3 b^2\right) \log (a+b \sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a b \left(3 a^2-b^2\right) \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^3}+\frac{a^2 \left(a^2-3 b^2\right) \log (\cosh (x))}{\left(a^2+b^2\right)^3}+\frac{\text{sech}^2(x) \left(a^2-2 a b \sinh (x)-b^2\right)}{2 \left(a^2+b^2\right)^2}",1,"(a*b*(3*a^2 - b^2)*ArcTan[Sinh[x]])/(a^2 + b^2)^3 + (a^2*(a^2 - 3*b^2)*Log[Cosh[x]])/(a^2 + b^2)^3 - (a^2*(a^2 - 3*b^2)*Log[a + b*Sinh[x]])/(a^2 + b^2)^3 + a^3/((a^2 + b^2)^2*(a + b*Sinh[x])) + (Sech[x]^2*(a^2 - b^2 - 2*a*b*Sinh[x]))/(2*(a^2 + b^2)^2)","A",7,6,13,0.4615,1,"{2721, 1647, 1629, 635, 203, 260}"
238,1,144,0,0.2487478,"\int \frac{\tanh ^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Tanh[x]^2/(a + b*Sinh[x])^2,x]","-\frac{2 a^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}+\frac{4 a b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\left(a^2-b^2\right) \tanh (x)}{\left(a^2+b^2\right)^2}-\frac{2 a b \text{sech}(x)}{\left(a^2+b^2\right)^2}-\frac{a^2 b \cosh (x)}{\left(a^2+b^2\right)^2 (a+b \sinh (x))}","-\frac{2 a^3 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}+\frac{4 a b^2 \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\left(a^2-b^2\right) \tanh (x)}{\left(a^2+b^2\right)^2}-\frac{2 a b \text{sech}(x)}{\left(a^2+b^2\right)^2}-\frac{a^2 b \cosh (x)}{\left(a^2+b^2\right)^2 (a+b \sinh (x))}",1,"(-2*a^3*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) + (4*a*b^2*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) - (2*a*b*Sech[x])/(a^2 + b^2)^2 - (a^2*b*Cosh[x])/((a^2 + b^2)^2*(a + b*Sinh[x])) - ((a^2 - b^2)*Tanh[x])/(a^2 + b^2)^2","A",13,9,13,0.6923,1,"{2731, 2664, 12, 2660, 618, 206, 2669, 3767, 8}"
239,1,85,0,0.1031875,"\int \frac{\tanh (x)}{(a+b \sinh (x))^2} \, dx","Int[Tanh[x]/(a + b*Sinh[x])^2,x]","\frac{a}{\left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\left(a^2-b^2\right) \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{2 a b \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}+\frac{\left(a^2-b^2\right) \log (\cosh (x))}{\left(a^2+b^2\right)^2}","\frac{a}{\left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\left(a^2-b^2\right) \log (a+b \sinh (x))}{\left(a^2+b^2\right)^2}+\frac{2 a b \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}+\frac{\left(a^2-b^2\right) \log (\cosh (x))}{\left(a^2+b^2\right)^2}",1,"(2*a*b*ArcTan[Sinh[x]])/(a^2 + b^2)^2 + ((a^2 - b^2)*Log[Cosh[x]])/(a^2 + b^2)^2 - ((a^2 - b^2)*Log[a + b*Sinh[x]])/(a^2 + b^2)^2 + a/((a^2 + b^2)*(a + b*Sinh[x]))","A",6,5,11,0.4545,1,"{2721, 801, 635, 203, 260}"
240,1,32,0,0.0530725,"\int \frac{\coth (x)}{(a+b \sinh (x))^2} \, dx","Int[Coth[x]/(a + b*Sinh[x])^2,x]","-\frac{\log (a+b \sinh (x))}{a^2}+\frac{\log (\sinh (x))}{a^2}+\frac{1}{a (a+b \sinh (x))}","-\frac{\log (a+b \sinh (x))}{a^2}+\frac{\log (\sinh (x))}{a^2}+\frac{1}{a (a+b \sinh (x))}",1,"Log[Sinh[x]]/a^2 - Log[a + b*Sinh[x]]/a^2 + 1/(a*(a + b*Sinh[x]))","A",3,2,11,0.1818,1,"{2721, 44}"
241,1,80,0,0.402169,"\int \frac{\coth ^2(x)}{(a+b \sinh (x))^2} \, dx","Int[Coth[x]^2/(a + b*Sinh[x])^2,x]","-\frac{2 \left(a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}+\frac{2 b \tanh ^{-1}(\cosh (x))}{a^3}-\frac{2 \coth (x)}{a^2}+\frac{\coth (x)}{a (a+b \sinh (x))}","-\frac{2 \left(a^2+2 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}+\frac{2 b \tanh ^{-1}(\cosh (x))}{a^3}-\frac{2 \coth (x)}{a^2}+\frac{\coth (x)}{a (a+b \sinh (x))}",1,"(2*b*ArcTanh[Cosh[x]])/a^3 - (2*(a^2 + 2*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^3*Sqrt[a^2 + b^2]) - (2*Coth[x])/a^2 + Coth[x]/(a*(a + b*Sinh[x]))","A",8,7,13,0.5385,1,"{2723, 3056, 3001, 3770, 2660, 618, 206}"
242,1,76,0,0.110462,"\int \frac{\coth ^3(x)}{(a+b \sinh (x))^2} \, dx","Int[Coth[x]^3/(a + b*Sinh[x])^2,x]","\frac{a^2+b^2}{a^3 (a+b \sinh (x))}+\frac{\left(a^2+3 b^2\right) \log (\sinh (x))}{a^4}-\frac{\left(a^2+3 b^2\right) \log (a+b \sinh (x))}{a^4}+\frac{2 b \text{csch}(x)}{a^3}-\frac{\text{csch}^2(x)}{2 a^2}","\frac{a^2+b^2}{a^3 (a+b \sinh (x))}+\frac{\left(a^2+3 b^2\right) \log (\sinh (x))}{a^4}-\frac{\left(a^2+3 b^2\right) \log (a+b \sinh (x))}{a^4}+\frac{2 b \text{csch}(x)}{a^3}-\frac{\text{csch}^2(x)}{2 a^2}",1,"(2*b*Csch[x])/a^3 - Csch[x]^2/(2*a^2) + ((a^2 + 3*b^2)*Log[Sinh[x]])/a^4 - ((a^2 + 3*b^2)*Log[a + b*Sinh[x]])/a^4 + (a^2 + b^2)/(a^3*(a + b*Sinh[x]))","A",3,2,13,0.1538,1,"{2721, 894}"
243,1,159,0,0.6709778,"\int \frac{\coth ^4(x)}{(a+b \sinh (x))^2} \, dx","Int[Coth[x]^4/(a + b*Sinh[x])^2,x]","-\frac{2 \sqrt{a^2+b^2} \left(a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5}-\frac{\left(7 a^2+12 b^2\right) \coth (x)}{3 a^4}+\frac{b \left(3 a^2+4 b^2\right) \tanh ^{-1}(\cosh (x))}{a^5}+\frac{\left(a^2+2 b^2\right) \coth (x) \text{csch}(x)}{a^3 b}-\frac{\left(\frac{4 b^2}{a^2}+3\right) \coth (x) \text{csch}(x)}{3 b (a+b \sinh (x))}-\frac{\coth (x) \text{csch}^2(x)}{3 a (a+b \sinh (x))}","-\frac{2 \sqrt{a^2+b^2} \left(a^2+4 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5}-\frac{\left(7 a^2+12 b^2\right) \coth (x)}{3 a^4}+\frac{b \left(3 a^2+4 b^2\right) \tanh ^{-1}(\cosh (x))}{a^5}+\frac{\left(a^2+2 b^2\right) \coth (x) \text{csch}(x)}{a^3 b}-\frac{\left(\frac{4 b^2}{a^2}+3\right) \coth (x) \text{csch}(x)}{3 b (a+b \sinh (x))}-\frac{\coth (x) \text{csch}^2(x)}{3 a (a+b \sinh (x))}",1,"(b*(3*a^2 + 4*b^2)*ArcTanh[Cosh[x]])/a^5 - (2*Sqrt[a^2 + b^2]*(a^2 + 4*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/a^5 - ((7*a^2 + 12*b^2)*Coth[x])/(3*a^4) + ((a^2 + 2*b^2)*Coth[x]*Csch[x])/(a^3*b) - ((3 + (4*b^2)/a^2)*Coth[x]*Csch[x])/(3*b*(a + b*Sinh[x])) - (Coth[x]*Csch[x]^2)/(3*a*(a + b*Sinh[x]))","A",8,7,13,0.5385,1,"{2724, 3055, 3001, 3770, 2660, 618, 206}"
244,1,37,0,0.0624441,"\int \coth (x) \sqrt{a+b \sinh (x)} \, dx","Int[Coth[x]*Sqrt[a + b*Sinh[x]],x]","2 \sqrt{a+b \sinh (x)}-2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a+b \sinh (x)}}{\sqrt{a}}\right)","2 \sqrt{a+b \sinh (x)}-2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a+b \sinh (x)}}{\sqrt{a}}\right)",1,"-2*Sqrt[a]*ArcTanh[Sqrt[a + b*Sinh[x]]/Sqrt[a]] + 2*Sqrt[a + b*Sinh[x]]","A",4,4,13,0.3077,1,"{2721, 50, 63, 207}"
245,1,24,0,0.0589528,"\int \frac{\coth (x)}{\sqrt{a+b \sinh (x)}} \, dx","Int[Coth[x]/Sqrt[a + b*Sinh[x]],x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a+b \sinh (x)}}{\sqrt{a}}\right)}{\sqrt{a}}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a+b \sinh (x)}}{\sqrt{a}}\right)}{\sqrt{a}}",1,"(-2*ArcTanh[Sqrt[a + b*Sinh[x]]/Sqrt[a]])/Sqrt[a]","A",3,3,13,0.2308,1,"{2721, 63, 207}"
246,1,51,0,0.1348123,"\int \frac{A+B \cosh (x)}{a+b \sinh (x)} \, dx","Int[(A + B*Cosh[x])/(a + b*Sinh[x]),x]","\frac{B \log (a+b \sinh (x))}{b}-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","\frac{B \log (a+b \sinh (x))}{b}-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}",1,"(-2*A*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] + (B*Log[a + b*Sinh[x]])/b","A",7,6,15,0.4000,1,"{4401, 2660, 618, 206, 2668, 31}"
247,1,25,0,0.0830601,"\int \frac{A+B \cosh (x)}{i+\sinh (x)} \, dx","Int[(A + B*Cosh[x])/(I + Sinh[x]),x]","B \log (\sinh (x)+i)-\frac{A \cosh (x)}{1-i \sinh (x)}","B \log (\sinh (x)+i)-\frac{A \cosh (x)}{1-i \sinh (x)}",1,"B*Log[I + Sinh[x]] - (A*Cosh[x])/(1 - I*Sinh[x])","A",5,4,15,0.2667,1,"{4401, 2648, 2667, 31}"
248,1,27,0,0.0865139,"\int \frac{A+B \cosh (x)}{i-\sinh (x)} \, dx","Int[(A + B*Cosh[x])/(I - Sinh[x]),x]","\frac{A \cosh (x)}{1+i \sinh (x)}-B \log (-\sinh (x)+i)","\frac{A \cosh (x)}{1+i \sinh (x)}-B \log (-\sinh (x)+i)",1,"-(B*Log[I - Sinh[x]]) + (A*Cosh[x])/(1 + I*Sinh[x])","A",5,4,17,0.2353,1,"{4401, 2648, 2667, 31}"
249,1,89,0,0.1771929,"\int \frac{A+B \tanh (x)}{a+b \sinh (x)} \, dx","Int[(A + B*Tanh[x])/(a + b*Sinh[x]),x]","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{a B \log (a+b \sinh (x))}{a^2+b^2}+\frac{b B \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{a B \log (\cosh (x))}{a^2+b^2}","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{a B \log (a+b \sinh (x))}{a^2+b^2}+\frac{b B \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{a B \log (\cosh (x))}{a^2+b^2}",1,"(b*B*ArcTan[Sinh[x]])/(a^2 + b^2) - (2*A*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] + (a*B*Log[Cosh[x]])/(a^2 + b^2) - (a*B*Log[a + b*Sinh[x]])/(a^2 + b^2)","A",11,9,15,0.6000,1,"{4401, 2660, 618, 206, 2721, 801, 635, 203, 260}"
250,1,60,0,0.1500084,"\int \frac{A+B \coth (x)}{a+b \sinh (x)} \, dx","Int[(A + B*Coth[x])/(a + b*Sinh[x]),x]","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{B \log (a+b \sinh (x))}{a}+\frac{B \log (\sinh (x))}{a}","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{B \log (a+b \sinh (x))}{a}+\frac{B \log (\sinh (x))}{a}",1,"(-2*A*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] + (B*Log[Sinh[x]])/a - (B*Log[a + b*Sinh[x]])/a","A",9,8,15,0.5333,1,"{4401, 2660, 618, 206, 2721, 36, 29, 31}"
251,1,89,0,0.2519571,"\int \frac{A+B \text{sech}(x)}{a+b \sinh (x)} \, dx","Int[(A + B*Sech[x])/(a + b*Sinh[x]),x]","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}+\frac{b B \log (a+b \sinh (x))}{a^2+b^2}+\frac{a B \tan ^{-1}(\sinh (x))}{a^2+b^2}-\frac{b B \log (\cosh (x))}{a^2+b^2}","-\frac{2 A \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}+\frac{b B \log (a+b \sinh (x))}{a^2+b^2}+\frac{a B \tan ^{-1}(\sinh (x))}{a^2+b^2}-\frac{b B \log (\cosh (x))}{a^2+b^2}",1,"(a*B*ArcTan[Sinh[x]])/(a^2 + b^2) - (2*A*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] - (b*B*Log[Cosh[x]])/(a^2 + b^2) + (b*B*Log[a + b*Sinh[x]])/(a^2 + b^2)","A",12,11,15,0.7333,1,"{4226, 4401, 2660, 618, 206, 2668, 706, 31, 635, 204, 260}"
252,1,58,0,0.157249,"\int \frac{A+B \text{csch}(x)}{a+b \sinh (x)} \, dx","Int[(A + B*Csch[x])/(a + b*Sinh[x]),x]","-\frac{2 (a A-b B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \sqrt{a^2+b^2}}-\frac{B \tanh ^{-1}(\cosh (x))}{a}","-\frac{2 (a A-b B) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \sqrt{a^2+b^2}}-\frac{B \tanh ^{-1}(\cosh (x))}{a}",1,"-((B*ArcTanh[Cosh[x]])/a) - (2*(a*A - b*B)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*Sqrt[a^2 + b^2])","A",6,6,15,0.4000,1,"{2828, 3001, 3770, 2660, 618, 206}"
253,1,81,0,0.168539,"\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{a+c \sinh (d+e x)} \, dx","Int[(A + B*Cosh[d + e*x] + C*Sinh[d + e*x])/(a + c*Sinh[d + e*x]),x]","-\frac{2 (A c-a C) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{c e \sqrt{a^2+c^2}}+\frac{B \log (a+c \sinh (d+e x))}{c e}+\frac{C x}{c}","-\frac{2 (A c-a C) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{c e \sqrt{a^2+c^2}}+\frac{B \log (a+c \sinh (d+e x))}{c e}+\frac{C x}{c}",1,"(C*x)/c - (2*(A*c - a*C)*ArcTanh[(c - a*Tanh[(d + e*x)/2])/Sqrt[a^2 + c^2]])/(c*Sqrt[a^2 + c^2]*e) + (B*Log[a + c*Sinh[d + e*x]])/(c*e)","A",7,7,31,0.2258,1,"{4376, 2735, 2660, 618, 204, 2668, 31}"
254,1,113,0,0.1693357,"\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^2} \, dx","Int[(A + B*Cosh[d + e*x] + C*Sinh[d + e*x])/(a + c*Sinh[d + e*x])^2,x]","-\frac{2 (a A+c C) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{3/2}}-\frac{(A c-a C) \cosh (d+e x)}{e \left(a^2+c^2\right) (a+c \sinh (d+e x))}-\frac{B}{c e (a+c \sinh (d+e x))}","-\frac{2 (a A+c C) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{3/2}}-\frac{(A c-a C) \cosh (d+e x)}{e \left(a^2+c^2\right) (a+c \sinh (d+e x))}-\frac{B}{c e (a+c \sinh (d+e x))}",1,"(-2*(a*A + c*C)*ArcTanh[(c - a*Tanh[(d + e*x)/2])/Sqrt[a^2 + c^2]])/((a^2 + c^2)^(3/2)*e) - B/(c*e*(a + c*Sinh[d + e*x])) - ((A*c - a*C)*Cosh[d + e*x])/((a^2 + c^2)*e*(a + c*Sinh[d + e*x]))","A",8,8,31,0.2581,1,"{4376, 2754, 12, 2660, 618, 204, 2668, 32}"
255,1,180,0,0.269667,"\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^3} \, dx","Int[(A + B*Cosh[d + e*x] + C*Sinh[d + e*x])/(a + c*Sinh[d + e*x])^3,x]","-\frac{\left(2 a^2 A+3 a c C-A c^2\right) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{5/2}}-\frac{\left(a^2 (-C)+3 a A c+2 c^2 C\right) \cosh (d+e x)}{2 e \left(a^2+c^2\right)^2 (a+c \sinh (d+e x))}-\frac{(A c-a C) \cosh (d+e x)}{2 e \left(a^2+c^2\right) (a+c \sinh (d+e x))^2}-\frac{B}{2 c e (a+c \sinh (d+e x))^2}","-\frac{\left(2 a^2 A+3 a c C-A c^2\right) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{5/2}}-\frac{\left(a^2 (-C)+3 a A c+2 c^2 C\right) \cosh (d+e x)}{2 e \left(a^2+c^2\right)^2 (a+c \sinh (d+e x))}-\frac{(A c-a C) \cosh (d+e x)}{2 e \left(a^2+c^2\right) (a+c \sinh (d+e x))^2}-\frac{B}{2 c e (a+c \sinh (d+e x))^2}",1,"-(((2*a^2*A - A*c^2 + 3*a*c*C)*ArcTanh[(c - a*Tanh[(d + e*x)/2])/Sqrt[a^2 + c^2]])/((a^2 + c^2)^(5/2)*e)) - B/(2*c*e*(a + c*Sinh[d + e*x])^2) - ((A*c - a*C)*Cosh[d + e*x])/(2*(a^2 + c^2)*e*(a + c*Sinh[d + e*x])^2) - ((3*a*A*c - a^2*C + 2*c^2*C)*Cosh[d + e*x])/(2*(a^2 + c^2)^2*e*(a + c*Sinh[d + e*x]))","A",9,8,31,0.2581,1,"{4376, 2754, 12, 2660, 618, 204, 2668, 32}"
256,1,250,0,0.4395182,"\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^4} \, dx","Int[(A + B*Cosh[d + e*x] + C*Sinh[d + e*x])/(a + c*Sinh[d + e*x])^4,x]","-\frac{\left(2 a^3 A+4 a^2 c C-3 a A c^2-c^3 C\right) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{7/2}}-\frac{\left(11 a^2 A c-2 a^3 C+13 a c^2 C-4 A c^3\right) \cosh (d+e x)}{6 e \left(a^2+c^2\right)^3 (a+c \sinh (d+e x))}-\frac{\left(-2 a^2 C+5 a A c+3 c^2 C\right) \cosh (d+e x)}{6 e \left(a^2+c^2\right)^2 (a+c \sinh (d+e x))^2}-\frac{(A c-a C) \cosh (d+e x)}{3 e \left(a^2+c^2\right) (a+c \sinh (d+e x))^3}-\frac{B}{3 c e (a+c \sinh (d+e x))^3}","-\frac{\left(2 a^3 A+4 a^2 c C-3 a A c^2-c^3 C\right) \tanh ^{-1}\left(\frac{c-a \tanh \left(\frac{1}{2} (d+e x)\right)}{\sqrt{a^2+c^2}}\right)}{e \left(a^2+c^2\right)^{7/2}}-\frac{\left(11 a^2 A c-2 a^3 C+13 a c^2 C-4 A c^3\right) \cosh (d+e x)}{6 e \left(a^2+c^2\right)^3 (a+c \sinh (d+e x))}-\frac{\left(-2 a^2 C+5 a A c+3 c^2 C\right) \cosh (d+e x)}{6 e \left(a^2+c^2\right)^2 (a+c \sinh (d+e x))^2}-\frac{(A c-a C) \cosh (d+e x)}{3 e \left(a^2+c^2\right) (a+c \sinh (d+e x))^3}-\frac{B}{3 c e (a+c \sinh (d+e x))^3}",1,"-(((2*a^3*A - 3*a*A*c^2 + 4*a^2*c*C - c^3*C)*ArcTanh[(c - a*Tanh[(d + e*x)/2])/Sqrt[a^2 + c^2]])/((a^2 + c^2)^(7/2)*e)) - B/(3*c*e*(a + c*Sinh[d + e*x])^3) - ((A*c - a*C)*Cosh[d + e*x])/(3*(a^2 + c^2)*e*(a + c*Sinh[d + e*x])^3) - ((5*a*A*c - 2*a^2*C + 3*c^2*C)*Cosh[d + e*x])/(6*(a^2 + c^2)^2*e*(a + c*Sinh[d + e*x])^2) - ((11*a^2*A*c - 4*A*c^3 - 2*a^3*C + 13*a*c^2*C)*Cosh[d + e*x])/(6*(a^2 + c^2)^3*e*(a + c*Sinh[d + e*x]))","A",10,8,31,0.2581,1,"{4376, 2754, 12, 2660, 618, 204, 2668, 32}"
257,1,439,0,0.7302526,"\int \frac{x^3}{a+b \sinh ^2(x)} \, dx","Int[x^3/(a + b*Sinh[x]^2),x]","\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{8 \sqrt{a} \sqrt{a-b}}-\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{8 \sqrt{a} \sqrt{a-b}}+\frac{x^3 \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x^3 \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}","\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{8 \sqrt{a} \sqrt{a-b}}-\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{8 \sqrt{a} \sqrt{a-b}}+\frac{x^3 \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x^3 \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}",1,"(x^3*Log[1 + (b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) - (x^3*Log[1 + (b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) + (3*x^2*PolyLog[2, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))])/(4*Sqrt[a]*Sqrt[a - b]) - (3*x^2*PolyLog[2, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))])/(4*Sqrt[a]*Sqrt[a - b]) - (3*x*PolyLog[3, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))])/(4*Sqrt[a]*Sqrt[a - b]) + (3*x*PolyLog[3, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))])/(4*Sqrt[a]*Sqrt[a - b]) + (3*PolyLog[4, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))])/(8*Sqrt[a]*Sqrt[a - b]) - (3*PolyLog[4, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))])/(8*Sqrt[a]*Sqrt[a - b])","A",13,8,14,0.5714,1,"{5629, 3320, 2264, 2190, 2531, 6609, 2282, 6589}"
258,1,327,0,0.5384257,"\int \frac{x^2}{a+b \sinh ^2(x)} \, dx","Int[x^2/(a + b*Sinh[x]^2),x]","\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{x^2 \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x^2 \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}","\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{x^2 \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x^2 \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}",1,"(x^2*Log[1 + (b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) - (x^2*Log[1 + (b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) + (x*PolyLog[2, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))])/(2*Sqrt[a]*Sqrt[a - b]) - (x*PolyLog[2, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))])/(2*Sqrt[a]*Sqrt[a - b]) - PolyLog[3, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))]/(4*Sqrt[a]*Sqrt[a - b]) + PolyLog[3, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))]/(4*Sqrt[a]*Sqrt[a - b])","A",11,7,14,0.5000,1,"{5629, 3320, 2264, 2190, 2531, 2282, 6589}"
259,1,215,0,0.3293643,"\int \frac{x}{a+b \sinh ^2(x)} \, dx","Int[x/(a + b*Sinh[x]^2),x]","\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{x \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}","\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}-\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}\right)}{4 \sqrt{a} \sqrt{a-b}}+\frac{x \log \left(\frac{b e^{2 x}}{-2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}-\frac{x \log \left(\frac{b e^{2 x}}{2 \sqrt{a} \sqrt{a-b}+2 a-b}+1\right)}{2 \sqrt{a} \sqrt{a-b}}",1,"(x*Log[1 + (b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) - (x*Log[1 + (b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b)])/(2*Sqrt[a]*Sqrt[a - b]) + PolyLog[2, -((b*E^(2*x))/(2*a - 2*Sqrt[a]*Sqrt[a - b] - b))]/(4*Sqrt[a]*Sqrt[a - b]) - PolyLog[2, -((b*E^(2*x))/(2*a + 2*Sqrt[a]*Sqrt[a - b] - b))]/(4*Sqrt[a]*Sqrt[a - b])","A",9,6,12,0.5000,1,"{5629, 3320, 2264, 2190, 2279, 2391}"
260,1,47,0,0.455922,"\int \frac{\cosh (a+b x) \left(-2+\sinh ^2(a+b x)\right)}{x} \, dx","Int[(Cosh[a + b*x]*(-2 + Sinh[a + b*x]^2))/x,x]","-\frac{9}{4} \cosh (a) \text{Chi}(b x)+\frac{1}{4} \cosh (3 a) \text{Chi}(3 b x)-\frac{9}{4} \sinh (a) \text{Shi}(b x)+\frac{1}{4} \sinh (3 a) \text{Shi}(3 b x)","-\frac{9}{4} \cosh (a) \text{Chi}(b x)+\frac{1}{4} \cosh (3 a) \text{Chi}(3 b x)-\frac{9}{4} \sinh (a) \text{Shi}(b x)+\frac{1}{4} \sinh (3 a) \text{Shi}(3 b x)",1,"(-9*Cosh[a]*CoshIntegral[b*x])/4 + (Cosh[3*a]*CoshIntegral[3*b*x])/4 - (9*Sinh[a]*SinhIntegral[b*x])/4 + (Sinh[3*a]*SinhIntegral[3*b*x])/4","A",13,5,20,0.2500,1,"{6742, 3303, 3298, 3301, 5448}"
261,1,58,0,0.1119405,"\int \frac{\sinh ^3\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","Int[Sinh[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^3/(1 - a^2*x^2),x]","\frac{3 \text{Shi}\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{4 a}-\frac{\text{Shi}\left(\frac{3 \sqrt{1-a x}}{\sqrt{a x+1}}\right)}{4 a}","\frac{3 \text{Shi}\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{4 a}-\frac{\text{Shi}\left(\frac{3 \sqrt{1-a x}}{\sqrt{a x+1}}\right)}{4 a}",1,"(3*SinhIntegral[Sqrt[1 - a*x]/Sqrt[1 + a*x]])/(4*a) - SinhIntegral[(3*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(4*a)","A",5,3,36,0.08333,1,"{6681, 3312, 3298}"
262,1,58,0,0.0807629,"\int \frac{\sinh ^2\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","Int[Sinh[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2),x]","\frac{\log \left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{2 a}-\frac{\text{Chi}\left(\frac{2 \sqrt{1-a x}}{\sqrt{a x+1}}\right)}{2 a}","\frac{\log \left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{2 a}-\frac{\text{Chi}\left(\frac{2 \sqrt{1-a x}}{\sqrt{a x+1}}\right)}{2 a}",1,"-CoshIntegral[(2*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(2*a) + Log[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(2*a)","A",4,3,36,0.08333,1,"{6681, 3312, 3301}"
263,1,26,0,0.0384661,"\int \frac{\sinh \left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","Int[Sinh[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2),x]","-\frac{\text{Shi}\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{a}","-\frac{\text{Shi}\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{a}",1,"-(SinhIntegral[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/a)","A",2,2,34,0.05882,1,"{6681, 3298}"
264,0,0,0,0.037463,"\int \frac{\text{csch}\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","Int[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2),x]","\int \frac{\text{csch}\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","\text{Int}\left(\frac{\text{csch}\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{(1-a x) (a x+1)},x\right)",0,"-(Defer[Subst][Defer[Int][Csch[x]/x, x], x, Sqrt[1 - a*x]/Sqrt[1 + a*x]]/a)","A",0,0,0,0,-1,"{}"
265,0,0,0,0.0799666,"\int \frac{\text{csch}^2\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","Int[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2),x]","\int \frac{\text{csch}^2\left(\frac{\sqrt{1-a x}}{\sqrt{1+a x}}\right)}{1-a^2 x^2} \, dx","\text{Int}\left(\frac{\text{csch}^2\left(\frac{\sqrt{1-a x}}{\sqrt{a x+1}}\right)}{(1-a x) (a x+1)},x\right)",0,"-(Defer[Subst][Defer[Int][Csch[x]^2/x, x], x, Sqrt[1 - a*x]/Sqrt[1 + a*x]]/a)","A",0,0,0,0,-1,"{}"
266,1,54,0,0.0112868,"\int \sinh \left(a+b \log \left(c x^n\right)\right) \, dx","Int[Sinh[a + b*Log[c*x^n]],x]","\frac{x \sinh \left(a+b \log \left(c x^n\right)\right)}{1-b^2 n^2}-\frac{b n x \cosh \left(a+b \log \left(c x^n\right)\right)}{1-b^2 n^2}","\frac{x \sinh \left(a+b \log \left(c x^n\right)\right)}{1-b^2 n^2}-\frac{b n x \cosh \left(a+b \log \left(c x^n\right)\right)}{1-b^2 n^2}",1,"-((b*n*x*Cosh[a + b*Log[c*x^n]])/(1 - b^2*n^2)) + (x*Sinh[a + b*Log[c*x^n]])/(1 - b^2*n^2)","A",1,1,11,0.09091,1,"{5517}"
267,1,88,0,0.0206036,"\int \sinh ^2\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Sinh[a + b*Log[c*x^n]]^2,x]","\frac{x \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{1-4 b^2 n^2}-\frac{2 b n x \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-4 b^2 n^2}+\frac{2 b^2 n^2 x}{1-4 b^2 n^2}","\frac{x \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{1-4 b^2 n^2}-\frac{2 b n x \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-4 b^2 n^2}+\frac{2 b^2 n^2 x}{1-4 b^2 n^2}",1,"(2*b^2*n^2*x)/(1 - 4*b^2*n^2) - (2*b*n*x*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/(1 - 4*b^2*n^2) + (x*Sinh[a + b*Log[c*x^n]]^2)/(1 - 4*b^2*n^2)","A",2,2,13,0.1538,1,"{5519, 8}"
268,1,149,0,0.0405997,"\int \sinh ^3\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Sinh[a + b*Log[c*x^n]]^3,x]","\frac{x \sinh ^3\left(a+b \log \left(c x^n\right)\right)}{1-9 b^2 n^2}+\frac{6 b^2 n^2 x \sinh \left(a+b \log \left(c x^n\right)\right)}{9 b^4 n^4-10 b^2 n^2+1}-\frac{6 b^3 n^3 x \cosh \left(a+b \log \left(c x^n\right)\right)}{9 b^4 n^4-10 b^2 n^2+1}-\frac{3 b n x \sinh ^2\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-9 b^2 n^2}","\frac{x \sinh ^3\left(a+b \log \left(c x^n\right)\right)}{1-9 b^2 n^2}+\frac{6 b^2 n^2 x \sinh \left(a+b \log \left(c x^n\right)\right)}{9 b^4 n^4-10 b^2 n^2+1}-\frac{6 b^3 n^3 x \cosh \left(a+b \log \left(c x^n\right)\right)}{9 b^4 n^4-10 b^2 n^2+1}-\frac{3 b n x \sinh ^2\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-9 b^2 n^2}",1,"(-6*b^3*n^3*x*Cosh[a + b*Log[c*x^n]])/(1 - 10*b^2*n^2 + 9*b^4*n^4) + (6*b^2*n^2*x*Sinh[a + b*Log[c*x^n]])/(1 - 10*b^2*n^2 + 9*b^4*n^4) - (3*b*n*x*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^2)/(1 - 9*b^2*n^2) + (x*Sinh[a + b*Log[c*x^n]]^3)/(1 - 9*b^2*n^2)","A",2,2,13,0.1538,1,"{5519, 5517}"
269,1,191,0,0.0512167,"\int \sinh ^4\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Sinh[a + b*Log[c*x^n]]^4,x]","\frac{12 b^2 n^2 x \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{64 b^4 n^4-20 b^2 n^2+1}+\frac{x \sinh ^4\left(a+b \log \left(c x^n\right)\right)}{1-16 b^2 n^2}-\frac{4 b n x \sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-16 b^2 n^2}-\frac{24 b^3 n^3 x \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{64 b^4 n^4-20 b^2 n^2+1}+\frac{24 b^4 n^4 x}{64 b^4 n^4-20 b^2 n^2+1}","\frac{12 b^2 n^2 x \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{64 b^4 n^4-20 b^2 n^2+1}+\frac{x \sinh ^4\left(a+b \log \left(c x^n\right)\right)}{1-16 b^2 n^2}-\frac{4 b n x \sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{1-16 b^2 n^2}-\frac{24 b^3 n^3 x \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{64 b^4 n^4-20 b^2 n^2+1}+\frac{24 b^4 n^4 x}{64 b^4 n^4-20 b^2 n^2+1}",1,"(24*b^4*n^4*x)/(1 - 20*b^2*n^2 + 64*b^4*n^4) - (24*b^3*n^3*x*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/(1 - 20*b^2*n^2 + 64*b^4*n^4) + (12*b^2*n^2*x*Sinh[a + b*Log[c*x^n]]^2)/(1 - 20*b^2*n^2 + 64*b^4*n^4) - (4*b*n*x*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^3)/(1 - 16*b^2*n^2) + (x*Sinh[a + b*Log[c*x^n]]^4)/(1 - 16*b^2*n^2)","A",3,2,13,0.1538,1,"{5519, 8}"
270,1,73,0,0.0237147,"\int x^m \sinh \left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^m*Sinh[a + b*Log[c*x^n]],x]","\frac{(m+1) x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-b^2 n^2}-\frac{b n x^{m+1} \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-b^2 n^2}","\frac{(m+1) x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-b^2 n^2}-\frac{b n x^{m+1} \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-b^2 n^2}",1,"-((b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)","A",1,1,15,0.06667,1,"{5527}"
271,1,120,0,0.0480274,"\int x^m \sinh ^2\left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^m*Sinh[a + b*Log[c*x^n]]^2,x]","\frac{(m+1) x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-4 b^2 n^2}-\frac{2 b n x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-4 b^2 n^2}+\frac{2 b^2 n^2 x^{m+1}}{(m+1) \left((m+1)^2-4 b^2 n^2\right)}","\frac{(m+1) x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-4 b^2 n^2}-\frac{2 b n x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-4 b^2 n^2}+\frac{2 b^2 n^2 x^{m+1}}{(m+1) \left((m+1)^2-4 b^2 n^2\right)}",1,"(2*b^2*n^2*x^(1 + m))/((1 + m)*((1 + m)^2 - 4*b^2*n^2)) - (2*b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - 4*b^2*n^2) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]]^2)/((1 + m)^2 - 4*b^2*n^2)","A",2,2,17,0.1176,1,"{5529, 30}"
272,1,197,0,0.0862306,"\int x^m \sinh ^3\left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^m*Sinh[a + b*Log[c*x^n]]^3,x]","\frac{(m+1) x^{m+1} \sinh ^3\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-9 b^2 n^2}+\frac{6 b^2 (m+1) n^2 x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right)}{-10 b^2 (m+1)^2 n^2+9 b^4 n^4+(m+1)^4}-\frac{6 b^3 n^3 x^{m+1} \cosh \left(a+b \log \left(c x^n\right)\right)}{-10 b^2 (m+1)^2 n^2+9 b^4 n^4+(m+1)^4}-\frac{3 b n x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-9 b^2 n^2}","\frac{(m+1) x^{m+1} \sinh ^3\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-9 b^2 n^2}+\frac{6 b^2 (m+1) n^2 x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right)}{\left((m+1)^2-9 b^2 n^2\right) \left((m+1)^2-b^2 n^2\right)}-\frac{6 b^3 n^3 x^{m+1} \cosh \left(a+b \log \left(c x^n\right)\right)}{\left((m+1)^2-9 b^2 n^2\right) \left((m+1)^2-b^2 n^2\right)}-\frac{3 b n x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-9 b^2 n^2}",1,"(-6*b^3*n^3*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^4 - 10*b^2*(1 + m)^2*n^2 + 9*b^4*n^4) + (6*b^2*(1 + m)*n^2*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^4 - 10*b^2*(1 + m)^2*n^2 + 9*b^4*n^4) - (3*b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^2)/((1 + m)^2 - 9*b^2*n^2) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]]^3)/((1 + m)^2 - 9*b^2*n^2)","A",2,2,17,0.1176,1,"{5529, 5527}"
273,1,260,0,0.1282145,"\int x^m \sinh ^4\left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^m*Sinh[a + b*Log[c*x^n]]^4,x]","\frac{(m+1) x^{m+1} \sinh ^4\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-16 b^2 n^2}+\frac{12 b^2 (m+1) n^2 x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{-20 b^2 (m+1)^2 n^2+64 b^4 n^4+(m+1)^4}-\frac{4 b n x^{m+1} \sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-16 b^2 n^2}-\frac{24 b^3 n^3 x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{-20 b^2 (m+1)^2 n^2+64 b^4 n^4+(m+1)^4}+\frac{24 b^4 n^4 x^{m+1}}{(m+1) \left((m+1)^2-16 b^2 n^2\right) \left((m+1)^2-4 b^2 n^2\right)}","\frac{(m+1) x^{m+1} \sinh ^4\left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-16 b^2 n^2}+\frac{12 b^2 (m+1) n^2 x^{m+1} \sinh ^2\left(a+b \log \left(c x^n\right)\right)}{\left((m+1)^2-16 b^2 n^2\right) \left((m+1)^2-4 b^2 n^2\right)}-\frac{4 b n x^{m+1} \sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{(m+1)^2-16 b^2 n^2}-\frac{24 b^3 n^3 x^{m+1} \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{\left((m+1)^2-16 b^2 n^2\right) \left((m+1)^2-4 b^2 n^2\right)}+\frac{24 b^4 n^4 x^{m+1}}{(m+1) \left((m+1)^2-16 b^2 n^2\right) \left((m+1)^2-4 b^2 n^2\right)}",1,"(24*b^4*n^4*x^(1 + m))/((1 + m)*((1 + m)^2 - 16*b^2*n^2)*((1 + m)^2 - 4*b^2*n^2)) - (24*b^3*n^3*x^(1 + m)*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/((1 + m)^4 - 20*b^2*(1 + m)^2*n^2 + 64*b^4*n^4) + (12*b^2*(1 + m)*n^2*x^(1 + m)*Sinh[a + b*Log[c*x^n]]^2)/((1 + m)^4 - 20*b^2*(1 + m)^2*n^2 + 64*b^4*n^4) - (4*b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^3)/((1 + m)^2 - 16*b^2*n^2) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]]^4)/((1 + m)^2 - 16*b^2*n^2)","A",3,2,17,0.1176,1,"{5529, 30}"
274,1,18,0,0.0171739,"\int \frac{\sinh \left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]/x,x]","\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}","\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}",1,"Cosh[a + b*Log[c*x^n]]/(b*n)","A",2,1,15,0.06667,1,"{2638}"
275,1,39,0,0.0292156,"\int \frac{\sinh ^2\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^2/x,x]","\frac{\sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{2 b n}-\frac{\log (x)}{2}","\frac{\sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{2 b n}-\frac{\log (x)}{2}",1,"-Log[x]/2 + (Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/(2*b*n)","A",3,2,17,0.1176,1,"{2635, 8}"
276,1,43,0,0.0353946,"\int \frac{\sinh ^3\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^3/x,x]","\frac{\cosh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}-\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}","\frac{\cosh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}-\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}",1,"-(Cosh[a + b*Log[c*x^n]]/(b*n)) + Cosh[a + b*Log[c*x^n]]^3/(3*b*n)","A",3,1,17,0.05882,1,"{2633}"
277,1,73,0,0.0465652,"\int \frac{\sinh ^4\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^4/x,x]","\frac{\sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{4 b n}-\frac{3 \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{8 b n}+\frac{3 \log (x)}{8}","\frac{\sinh ^3\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{4 b n}-\frac{3 \sinh \left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{8 b n}+\frac{3 \log (x)}{8}",1,"(3*Log[x])/8 - (3*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]])/(8*b*n) + (Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^3)/(4*b*n)","A",4,2,17,0.1176,1,"{2635, 8}"
278,1,65,0,0.0415972,"\int \frac{\sinh ^5\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^5/x,x]","\frac{\cosh ^5\left(a+b \log \left(c x^n\right)\right)}{5 b n}-\frac{2 \cosh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}","\frac{\cosh ^5\left(a+b \log \left(c x^n\right)\right)}{5 b n}-\frac{2 \cosh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{\cosh \left(a+b \log \left(c x^n\right)\right)}{b n}",1,"Cosh[a + b*Log[c*x^n]]/(b*n) - (2*Cosh[a + b*Log[c*x^n]]^3)/(3*b*n) + Cosh[a + b*Log[c*x^n]]^5/(5*b*n)","A",3,1,17,0.05882,1,"{2633}"
279,1,111,0,0.0652123,"\int \frac{\sinh ^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^(5/2)/x,x]","\frac{2 \sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{5 b n}+\frac{6 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{5 b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}","\frac{2 \sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right) \cosh \left(a+b \log \left(c x^n\right)\right)}{5 b n}+\frac{6 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{5 b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"(((6*I)/5)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[I*Sinh[a + b*Log[c*x^n]]]) + (2*Cosh[a + b*Log[c*x^n]]*Sinh[a + b*Log[c*x^n]]^(3/2))/(5*b*n)","A",4,3,19,0.1579,1,"{2635, 2640, 2639}"
280,1,111,0,0.0602746,"\int \frac{\sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Sinh[a + b*Log[c*x^n]]^(3/2)/x,x]","\frac{2 \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}","\frac{2 \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"(((2*I)/3)*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[Sinh[a + b*Log[c*x^n]]]) + (2*Cosh[a + b*Log[c*x^n]]*Sqrt[Sinh[a + b*Log[c*x^n]]])/(3*b*n)","A",4,3,19,0.1579,1,"{2635, 2642, 2641}"
281,1,72,0,0.043666,"\int \frac{\sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}{x} \, dx","Int[Sqrt[Sinh[a + b*Log[c*x^n]]]/x,x]","-\frac{2 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"((-2*I)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[I*Sinh[a + b*Log[c*x^n]]])","A",3,2,19,0.1053,1,"{2640, 2639}"
282,1,72,0,0.0439565,"\int \frac{1}{x \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}} \, dx","Int[1/(x*Sqrt[Sinh[a + b*Log[c*x^n]]]),x]","-\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"((-2*I)*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[Sinh[a + b*Log[c*x^n]]])","A",3,2,19,0.1053,1,"{2642, 2641}"
283,1,107,0,0.0566298,"\int \frac{1}{x \sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Sinh[a + b*Log[c*x^n]]^(3/2)),x]","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}-\frac{2 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}-\frac{2 i \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)} E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"(-2*Cosh[a + b*Log[c*x^n]])/(b*n*Sqrt[Sinh[a + b*Log[c*x^n]]]) - ((2*I)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[I*Sinh[a + b*Log[c*x^n]]])","A",4,3,19,0.1579,1,"{2636, 2640, 2639}"
284,1,111,0,0.0610743,"\int \frac{1}{x \sinh ^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Sinh[a + b*Log[c*x^n]]^(5/2)),x]","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n \sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n \sinh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n \sqrt{\sinh \left(a+b \log \left(c x^n\right)\right)}}",1,"(-2*Cosh[a + b*Log[c*x^n]])/(3*b*n*Sinh[a + b*Log[c*x^n]]^(3/2)) + (((2*I)/3)*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n*Sqrt[Sinh[a + b*Log[c*x^n]]])","A",4,3,19,0.1579,1,"{2636, 2642, 2641}"
285,1,209,0,0.1602107,"\int \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right) \, dx","Int[Sinh[a + (2*Log[c*x^n])/n]^(5/2),x]","-\frac{5 e^{-2 a} x \left(c x^n\right)^{-4/n} \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{4 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)^2}-\frac{1}{4} x \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)+\frac{5 x \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{12 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}-\frac{5 e^{-3 a} x \left(c x^n\right)^{-6/n} \csc ^{-1}\left(e^a \left(c x^n\right)^{2/n}\right) \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{4 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)^{5/2}}","-\frac{5 e^{-2 a} x \left(c x^n\right)^{-4/n} \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{4 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)^2}-\frac{1}{4} x \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)+\frac{5 x \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{12 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}-\frac{5 e^{-3 a} x \left(c x^n\right)^{-6/n} \csc ^{-1}\left(e^a \left(c x^n\right)^{2/n}\right) \sinh ^{\frac{5}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}{4 \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)^{5/2}}",1,"-(x*Sinh[a + (2*Log[c*x^n])/n]^(5/2))/4 - (5*x*Sinh[a + (2*Log[c*x^n])/n]^(5/2))/(4*E^(2*a)*(c*x^n)^(4/n)*(1 - 1/(E^(2*a)*(c*x^n)^(4/n)))^2) + (5*x*Sinh[a + (2*Log[c*x^n])/n]^(5/2))/(12*(1 - 1/(E^(2*a)*(c*x^n)^(4/n)))) - (5*x*ArcCsc[E^a*(c*x^n)^(2/n)]*Sinh[a + (2*Log[c*x^n])/n]^(5/2))/(4*E^(3*a)*(c*x^n)^(6/n)*(1 - 1/(E^(2*a)*(c*x^n)^(4/n)))^(5/2))","A",8,8,18,0.4444,1,"{5525, 5533, 353, 349, 345, 242, 277, 216}"
286,1,103,0,0.0871008,"\int \sqrt{\sinh \left(a+\frac{2 \log \left(c x^n\right)}{n}\right)} \, dx","Int[Sqrt[Sinh[a + (2*Log[c*x^n])/n]],x]","\frac{1}{2} x \sqrt{\sinh \left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}+\frac{e^{-a} x \left(c x^n\right)^{-2/n} \csc ^{-1}\left(e^a \left(c x^n\right)^{2/n}\right) \sqrt{\sinh \left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}}{2 \sqrt{1-e^{-2 a} \left(c x^n\right)^{-4/n}}}","\frac{1}{2} x \sqrt{\sinh \left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}+\frac{e^{-a} x \left(c x^n\right)^{-2/n} \csc ^{-1}\left(e^a \left(c x^n\right)^{2/n}\right) \sqrt{\sinh \left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}}{2 \sqrt{1-e^{-2 a} \left(c x^n\right)^{-4/n}}}",1,"(x*Sqrt[Sinh[a + (2*Log[c*x^n])/n]])/2 + (x*ArcCsc[E^a*(c*x^n)^(2/n)]*Sqrt[Sinh[a + (2*Log[c*x^n])/n]])/(2*E^a*(c*x^n)^(2/n)*Sqrt[1 - 1/(E^(2*a)*(c*x^n)^(4/n))])","A",6,6,18,0.3333,1,"{5525, 5533, 345, 242, 277, 216}"
287,1,43,0,0.0528222,"\int \frac{1}{\sinh ^{\frac{3}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)} \, dx","Int[Sinh[a + (2*Log[c*x^n])/n]^(-3/2),x]","-\frac{x \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{2 \sinh ^{\frac{3}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}","-\frac{x \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{2 \sinh ^{\frac{3}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}",1,"-(x*(1 - 1/(E^(2*a)*(c*x^n)^(4/n))))/(2*Sinh[a + (2*Log[c*x^n])/n]^(3/2))","A",3,3,18,0.1667,1,"{5525, 5533, 264}"
288,1,103,0,0.078949,"\int \frac{1}{\sinh ^{\frac{7}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)} \, dx","Int[Sinh[a + (2*Log[c*x^n])/n]^(-7/2),x]","\frac{e^{-2 a} x \left(c x^n\right)^{-4/n} \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{15 \sinh ^{\frac{7}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}-\frac{x \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{6 \sinh ^{\frac{7}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}","\frac{e^{-2 a} x \left(c x^n\right)^{-4/n} \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{15 \sinh ^{\frac{7}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}-\frac{x \left(1-e^{-2 a} \left(c x^n\right)^{-4/n}\right)}{6 \sinh ^{\frac{7}{2}}\left(a+\frac{2 \log \left(c x^n\right)}{n}\right)}",1,"-(x*(1 - 1/(E^(2*a)*(c*x^n)^(4/n))))/(6*Sinh[a + (2*Log[c*x^n])/n]^(7/2)) + (x*(1 - 1/(E^(2*a)*(c*x^n)^(4/n))))/(15*E^(2*a)*(c*x^n)^(4/n)*Sinh[a + (2*Log[c*x^n])/n]^(7/2))","A",4,4,18,0.2222,1,"{5525, 5533, 271, 264}"
289,1,36,0,0.0467654,"\int \sinh \left(\frac{a}{c+d x}\right) \, dx","Int[Sinh[a/(c + d*x)],x]","\frac{(c+d x) \sinh \left(\frac{a}{c+d x}\right)}{d}-\frac{a \text{Chi}\left(\frac{a}{c+d x}\right)}{d}","\frac{(c+d x) \sinh \left(\frac{a}{c+d x}\right)}{d}-\frac{a \text{Chi}\left(\frac{a}{c+d x}\right)}{d}",1,"-((a*CoshIntegral[a/(c + d*x)])/d) + ((c + d*x)*Sinh[a/(c + d*x)])/d","A",4,4,10,0.4000,1,"{5310, 5302, 3297, 3301}"
290,1,39,0,0.0636995,"\int \sinh ^2\left(\frac{a}{c+d x}\right) \, dx","Int[Sinh[a/(c + d*x)]^2,x]","\frac{(c+d x) \sinh ^2\left(\frac{a}{c+d x}\right)}{d}-\frac{a \text{Shi}\left(\frac{2 a}{c+d x}\right)}{d}","\frac{(c+d x) \sinh ^2\left(\frac{a}{c+d x}\right)}{d}-\frac{a \text{Shi}\left(\frac{2 a}{c+d x}\right)}{d}",1,"((c + d*x)*Sinh[a/(c + d*x)]^2)/d - (a*SinhIntegral[(2*a)/(c + d*x)])/d","A",5,5,12,0.4167,1,"{5310, 5302, 3313, 12, 3298}"
291,1,59,0,0.0851237,"\int \sinh ^3\left(\frac{a}{c+d x}\right) \, dx","Int[Sinh[a/(c + d*x)]^3,x]","\frac{3 a \text{Chi}\left(\frac{a}{c+d x}\right)}{4 d}-\frac{3 a \text{Chi}\left(\frac{3 a}{c+d x}\right)}{4 d}+\frac{(c+d x) \sinh ^3\left(\frac{a}{c+d x}\right)}{d}","\frac{3 a \text{Chi}\left(\frac{a}{c+d x}\right)}{4 d}-\frac{3 a \text{Chi}\left(\frac{3 a}{c+d x}\right)}{4 d}+\frac{(c+d x) \sinh ^3\left(\frac{a}{c+d x}\right)}{d}",1,"(3*a*CoshIntegral[a/(c + d*x)])/(4*d) - (3*a*CoshIntegral[(3*a)/(c + d*x)])/(4*d) + ((c + d*x)*Sinh[a/(c + d*x)]^3)/d","A",6,4,12,0.3333,1,"{5310, 5302, 3313, 3301}"
292,1,74,0,0.129571,"\int \sinh \left(\frac{b x}{c+d x}\right) \, dx","Int[Sinh[(b*x)/(c + d*x)],x]","\frac{b c \cosh \left(\frac{b}{d}\right) \text{Chi}\left(\frac{b c}{d (c+d x)}\right)}{d^2}-\frac{b c \sinh \left(\frac{b}{d}\right) \text{Shi}\left(\frac{b c}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{b x}{c+d x}\right)}{d}","\frac{b c \cosh \left(\frac{b}{d}\right) \text{Chi}\left(\frac{b c}{d (c+d x)}\right)}{d^2}-\frac{b c \sinh \left(\frac{b}{d}\right) \text{Shi}\left(\frac{b c}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{b x}{c+d x}\right)}{d}",1,"(b*c*Cosh[b/d]*CoshIntegral[(b*c)/(d*(c + d*x))])/d^2 + ((c + d*x)*Sinh[(b*x)/(c + d*x)])/d - (b*c*Sinh[b/d]*SinhIntegral[(b*c)/(d*(c + d*x))])/d^2","A",5,5,11,0.4545,1,"{5607, 3297, 3303, 3298, 3301}"
293,1,80,0,0.145793,"\int \sinh ^2\left(\frac{b x}{c+d x}\right) \, dx","Int[Sinh[(b*x)/(c + d*x)]^2,x]","\frac{b c \sinh \left(\frac{2 b}{d}\right) \text{Chi}\left(\frac{2 b c}{d (c+d x)}\right)}{d^2}-\frac{b c \cosh \left(\frac{2 b}{d}\right) \text{Shi}\left(\frac{2 b c}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{b x}{c+d x}\right)}{d}","\frac{b c \sinh \left(\frac{2 b}{d}\right) \text{Chi}\left(\frac{2 b c}{d (c+d x)}\right)}{d^2}-\frac{b c \cosh \left(\frac{2 b}{d}\right) \text{Shi}\left(\frac{2 b c}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{b x}{c+d x}\right)}{d}",1,"(b*c*CoshIntegral[(2*b*c)/(d*(c + d*x))]*Sinh[(2*b)/d])/d^2 + ((c + d*x)*Sinh[(b*x)/(c + d*x)]^2)/d - (b*c*Cosh[(2*b)/d]*SinhIntegral[(2*b*c)/(d*(c + d*x))])/d^2","A",6,6,13,0.4615,1,"{5607, 3313, 12, 3303, 3298, 3301}"
294,1,143,0,0.2464275,"\int \sinh ^3\left(\frac{b x}{c+d x}\right) \, dx","Int[Sinh[(b*x)/(c + d*x)]^3,x]","-\frac{3 b c \cosh \left(\frac{b}{d}\right) \text{Chi}\left(\frac{b c}{d (c+d x)}\right)}{4 d^2}+\frac{3 b c \cosh \left(\frac{3 b}{d}\right) \text{Chi}\left(\frac{3 b c}{d (c+d x)}\right)}{4 d^2}+\frac{3 b c \sinh \left(\frac{b}{d}\right) \text{Shi}\left(\frac{b c}{d (c+d x)}\right)}{4 d^2}-\frac{3 b c \sinh \left(\frac{3 b}{d}\right) \text{Shi}\left(\frac{3 b c}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{b x}{c+d x}\right)}{d}","-\frac{3 b c \cosh \left(\frac{b}{d}\right) \text{Chi}\left(\frac{b c}{d (c+d x)}\right)}{4 d^2}+\frac{3 b c \cosh \left(\frac{3 b}{d}\right) \text{Chi}\left(\frac{3 b c}{d (c+d x)}\right)}{4 d^2}+\frac{3 b c \sinh \left(\frac{b}{d}\right) \text{Shi}\left(\frac{b c}{d (c+d x)}\right)}{4 d^2}-\frac{3 b c \sinh \left(\frac{3 b}{d}\right) \text{Shi}\left(\frac{3 b c}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{b x}{c+d x}\right)}{d}",1,"(-3*b*c*Cosh[b/d]*CoshIntegral[(b*c)/(d*(c + d*x))])/(4*d^2) + (3*b*c*Cosh[(3*b)/d]*CoshIntegral[(3*b*c)/(d*(c + d*x))])/(4*d^2) + ((c + d*x)*Sinh[(b*x)/(c + d*x)]^3)/d + (3*b*c*Sinh[b/d]*SinhIntegral[(b*c)/(d*(c + d*x))])/(4*d^2) - (3*b*c*Sinh[(3*b)/d]*SinhIntegral[(3*b*c)/(d*(c + d*x))])/(4*d^2)","A",9,5,13,0.3846,1,"{5607, 3313, 3303, 3298, 3301}"
295,1,101,0,0.1788356,"\int \sinh \left(\frac{a+b x}{c+d x}\right) \, dx","Int[Sinh[(a + b*x)/(c + d*x)],x]","\frac{\cosh \left(\frac{b}{d}\right) (b c-a d) \text{Chi}\left(\frac{b c-a d}{d (c+d x)}\right)}{d^2}-\frac{\sinh \left(\frac{b}{d}\right) (b c-a d) \text{Shi}\left(\frac{b c-a d}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{a+b x}{c+d x}\right)}{d}","\frac{\cosh \left(\frac{b}{d}\right) (b c-a d) \text{Chi}\left(\frac{b c-a d}{d (c+d x)}\right)}{d^2}-\frac{\sinh \left(\frac{b}{d}\right) (b c-a d) \text{Shi}\left(\frac{b c-a d}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{a+b x}{c+d x}\right)}{d}",1,"((b*c - a*d)*Cosh[b/d]*CoshIntegral[(b*c - a*d)/(d*(c + d*x))])/d^2 + ((c + d*x)*Sinh[(a + b*x)/(c + d*x)])/d - ((b*c - a*d)*Sinh[b/d]*SinhIntegral[(b*c - a*d)/(d*(c + d*x))])/d^2","A",5,5,14,0.3571,1,"{5607, 3297, 3303, 3298, 3301}"
296,1,107,0,0.1822601,"\int \sinh ^2\left(\frac{a+b x}{c+d x}\right) \, dx","Int[Sinh[(a + b*x)/(c + d*x)]^2,x]","\frac{\sinh \left(\frac{2 b}{d}\right) (b c-a d) \text{Chi}\left(\frac{2 (b c-a d)}{d (c+d x)}\right)}{d^2}-\frac{\cosh \left(\frac{2 b}{d}\right) (b c-a d) \text{Shi}\left(\frac{2 (b c-a d)}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{a+b x}{c+d x}\right)}{d}","\frac{\sinh \left(\frac{2 b}{d}\right) (b c-a d) \text{Chi}\left(\frac{2 (b c-a d)}{d (c+d x)}\right)}{d^2}-\frac{\cosh \left(\frac{2 b}{d}\right) (b c-a d) \text{Shi}\left(\frac{2 (b c-a d)}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{a+b x}{c+d x}\right)}{d}",1,"((b*c - a*d)*CoshIntegral[(2*(b*c - a*d))/(d*(c + d*x))]*Sinh[(2*b)/d])/d^2 + ((c + d*x)*Sinh[(a + b*x)/(c + d*x)]^2)/d - ((b*c - a*d)*Cosh[(2*b)/d]*SinhIntegral[(2*(b*c - a*d))/(d*(c + d*x))])/d^2","A",6,6,16,0.3750,1,"{5607, 3313, 12, 3303, 3298, 3301}"
297,1,194,0,0.3283561,"\int \sinh ^3\left(\frac{a+b x}{c+d x}\right) \, dx","Int[Sinh[(a + b*x)/(c + d*x)]^3,x]","-\frac{3 \cosh \left(\frac{b}{d}\right) (b c-a d) \text{Chi}\left(\frac{b c-a d}{d (c+d x)}\right)}{4 d^2}+\frac{3 \cosh \left(\frac{3 b}{d}\right) (b c-a d) \text{Chi}\left(\frac{3 (b c-a d)}{d (c+d x)}\right)}{4 d^2}+\frac{3 \sinh \left(\frac{b}{d}\right) (b c-a d) \text{Shi}\left(\frac{b c-a d}{d (c+d x)}\right)}{4 d^2}-\frac{3 \sinh \left(\frac{3 b}{d}\right) (b c-a d) \text{Shi}\left(\frac{3 (b c-a d)}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{a+b x}{c+d x}\right)}{d}","-\frac{3 \cosh \left(\frac{b}{d}\right) (b c-a d) \text{Chi}\left(\frac{b c-a d}{d (c+d x)}\right)}{4 d^2}+\frac{3 \cosh \left(\frac{3 b}{d}\right) (b c-a d) \text{Chi}\left(\frac{3 (b c-a d)}{d (c+d x)}\right)}{4 d^2}+\frac{3 \sinh \left(\frac{b}{d}\right) (b c-a d) \text{Shi}\left(\frac{b c-a d}{d (c+d x)}\right)}{4 d^2}-\frac{3 \sinh \left(\frac{3 b}{d}\right) (b c-a d) \text{Shi}\left(\frac{3 (b c-a d)}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{a+b x}{c+d x}\right)}{d}",1,"(-3*(b*c - a*d)*Cosh[b/d]*CoshIntegral[(b*c - a*d)/(d*(c + d*x))])/(4*d^2) + (3*(b*c - a*d)*Cosh[(3*b)/d]*CoshIntegral[(3*(b*c - a*d))/(d*(c + d*x))])/(4*d^2) + ((c + d*x)*Sinh[(a + b*x)/(c + d*x)]^3)/d + (3*(b*c - a*d)*Sinh[b/d]*SinhIntegral[(b*c - a*d)/(d*(c + d*x))])/(4*d^2) - (3*(b*c - a*d)*Sinh[(3*b)/d]*SinhIntegral[(3*(b*c - a*d))/(d*(c + d*x))])/(4*d^2)","A",9,5,16,0.3125,1,"{5607, 3313, 3303, 3298, 3301}"
298,1,121,0,0.2594824,"\int \sinh \left(e+\frac{f (a+b x)}{c+d x}\right) \, dx","Int[Sinh[e + (f*(a + b*x))/(c + d*x)],x]","\frac{f (b c-a d) \cosh \left(\frac{b f}{d}+e\right) \text{Chi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{d^2}-\frac{f (b c-a d) \sinh \left(\frac{b f}{d}+e\right) \text{Shi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}","\frac{f (b c-a d) \cosh \left(\frac{b f}{d}+e\right) \text{Chi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{d^2}-\frac{f (b c-a d) \sinh \left(\frac{b f}{d}+e\right) \text{Shi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh \left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}",1,"((b*c - a*d)*f*Cosh[e + (b*f)/d]*CoshIntegral[((b*c - a*d)*f)/(d*(c + d*x))])/d^2 + ((c + d*x)*Sinh[(c*e + a*f + d*e*x + b*f*x)/(c + d*x)])/d - ((b*c - a*d)*f*Sinh[e + (b*f)/d]*SinhIntegral[((b*c - a*d)*f)/(d*(c + d*x))])/d^2","A",6,6,17,0.3529,1,"{5609, 5607, 3297, 3303, 3298, 3301}"
299,1,129,0,0.2790587,"\int \sinh ^2\left(e+\frac{f (a+b x)}{c+d x}\right) \, dx","Int[Sinh[e + (f*(a + b*x))/(c + d*x)]^2,x]","\frac{f (b c-a d) \sinh \left(2 \left(\frac{b f}{d}+e\right)\right) \text{Chi}\left(\frac{2 (b c-a d) f}{d (c+d x)}\right)}{d^2}-\frac{f (b c-a d) \cosh \left(2 \left(\frac{b f}{d}+e\right)\right) \text{Shi}\left(\frac{2 (b c-a d) f}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}","\frac{f (b c-a d) \sinh \left(2 \left(\frac{b f}{d}+e\right)\right) \text{Chi}\left(\frac{2 (b c-a d) f}{d (c+d x)}\right)}{d^2}-\frac{f (b c-a d) \cosh \left(2 \left(\frac{b f}{d}+e\right)\right) \text{Shi}\left(\frac{2 (b c-a d) f}{d (c+d x)}\right)}{d^2}+\frac{(c+d x) \sinh ^2\left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}",1,"((b*c - a*d)*f*CoshIntegral[(2*(b*c - a*d)*f)/(d*(c + d*x))]*Sinh[2*(e + (b*f)/d)])/d^2 + ((c + d*x)*Sinh[(c*e + a*f + d*e*x + b*f*x)/(c + d*x)]^2)/d - ((b*c - a*d)*f*Cosh[2*(e + (b*f)/d)]*SinhIntegral[(2*(b*c - a*d)*f)/(d*(c + d*x))])/d^2","A",7,7,19,0.3684,1,"{5609, 5607, 3313, 12, 3303, 3298, 3301}"
300,1,226,0,0.4764768,"\int \sinh ^3\left(e+\frac{f (a+b x)}{c+d x}\right) \, dx","Int[Sinh[e + (f*(a + b*x))/(c + d*x)]^3,x]","-\frac{3 f (b c-a d) \cosh \left(\frac{b f}{d}+e\right) \text{Chi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{3 f (b c-a d) \cosh \left(3 \left(\frac{b f}{d}+e\right)\right) \text{Chi}\left(\frac{3 (b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{3 f (b c-a d) \sinh \left(\frac{b f}{d}+e\right) \text{Shi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{4 d^2}-\frac{3 f (b c-a d) \sinh \left(3 \left(\frac{b f}{d}+e\right)\right) \text{Shi}\left(\frac{3 (b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}","-\frac{3 f (b c-a d) \cosh \left(\frac{b f}{d}+e\right) \text{Chi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{3 f (b c-a d) \cosh \left(3 \left(\frac{b f}{d}+e\right)\right) \text{Chi}\left(\frac{3 (b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{3 f (b c-a d) \sinh \left(\frac{b f}{d}+e\right) \text{Shi}\left(\frac{(b c-a d) f}{d (c+d x)}\right)}{4 d^2}-\frac{3 f (b c-a d) \sinh \left(3 \left(\frac{b f}{d}+e\right)\right) \text{Shi}\left(\frac{3 (b c-a d) f}{d (c+d x)}\right)}{4 d^2}+\frac{(c+d x) \sinh ^3\left(\frac{a f+b f x+c e+d e x}{c+d x}\right)}{d}",1,"(-3*(b*c - a*d)*f*Cosh[e + (b*f)/d]*CoshIntegral[((b*c - a*d)*f)/(d*(c + d*x))])/(4*d^2) + (3*(b*c - a*d)*f*Cosh[3*(e + (b*f)/d)]*CoshIntegral[(3*(b*c - a*d)*f)/(d*(c + d*x))])/(4*d^2) + ((c + d*x)*Sinh[(c*e + a*f + d*e*x + b*f*x)/(c + d*x)]^3)/d + (3*(b*c - a*d)*f*Sinh[e + (b*f)/d]*SinhIntegral[((b*c - a*d)*f)/(d*(c + d*x))])/(4*d^2) - (3*(b*c - a*d)*f*Sinh[3*(e + (b*f)/d)]*SinhIntegral[(3*(b*c - a*d)*f)/(d*(c + d*x))])/(4*d^2)","A",10,6,19,0.3158,1,"{5609, 5607, 3313, 3303, 3298, 3301}"
301,1,83,0,0.0395487,"\int e^{a+b x} \sinh ^4(a+b x) \, dx","Int[E^(a + b*x)*Sinh[a + b*x]^4,x]","-\frac{e^{-3 a-3 b x}}{48 b}+\frac{e^{-a-b x}}{4 b}+\frac{3 e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{12 b}+\frac{e^{5 a+5 b x}}{80 b}","-\frac{e^{-3 a-3 b x}}{48 b}+\frac{e^{-a-b x}}{4 b}+\frac{3 e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{12 b}+\frac{e^{5 a+5 b x}}{80 b}",1,"-E^(-3*a - 3*b*x)/(48*b) + E^(-a - b*x)/(4*b) + (3*E^(a + b*x))/(8*b) - E^(3*a + 3*b*x)/(12*b) + E^(5*a + 5*b*x)/(80*b)","A",4,3,16,0.1875,1,"{2282, 12, 270}"
302,1,57,0,0.0384831,"\int e^{a+b x} \sinh ^3(a+b x) \, dx","Int[E^(a + b*x)*Sinh[a + b*x]^3,x]","\frac{e^{-2 a-2 b x}}{16 b}-\frac{3 e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}+\frac{3 x}{8}","\frac{e^{-2 a-2 b x}}{16 b}-\frac{3 e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}+\frac{3 x}{8}",1,"E^(-2*a - 2*b*x)/(16*b) - (3*E^(2*a + 2*b*x))/(16*b) + E^(4*a + 4*b*x)/(32*b) + (3*x)/8","A",5,4,16,0.2500,1,"{2282, 12, 266, 43}"
303,1,49,0,0.0312144,"\int e^{a+b x} \sinh ^2(a+b x) \, dx","Int[E^(a + b*x)*Sinh[a + b*x]^2,x]","-\frac{e^{-a-b x}}{4 b}-\frac{e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{12 b}","-\frac{e^{-a-b x}}{4 b}-\frac{e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{12 b}",1,"-E^(-a - b*x)/(4*b) - E^(a + b*x)/(2*b) + E^(3*a + 3*b*x)/(12*b)","A",4,3,16,0.1875,1,"{2282, 12, 270}"
304,1,23,0,0.0158541,"\int e^{a+b x} \sinh (a+b x) \, dx","Int[E^(a + b*x)*Sinh[a + b*x],x]","\frac{e^{2 a+2 b x}}{4 b}-\frac{x}{2}","\frac{e^{2 a+2 b x}}{4 b}-\frac{x}{2}",1,"E^(2*a + 2*b*x)/(4*b) - x/2","A",4,3,14,0.2143,1,"{2282, 12, 14}"
305,1,19,0,0.0189866,"\int e^{a+b x} \text{csch}(a+b x) \, dx","Int[E^(a + b*x)*Csch[a + b*x],x]","\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}",1,"Log[1 - E^(2*a + 2*b*x)]/b","A",3,3,14,0.2143,1,"{2282, 12, 260}"
306,1,42,0,0.0308837,"\int e^{a+b x} \text{csch}^2(a+b x) \, dx","Int[E^(a + b*x)*Csch[a + b*x]^2,x]","\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (2*ArcTanh[E^(a + b*x)])/b","A",4,4,16,0.2500,1,"{2282, 12, 288, 206}"
307,1,31,0,0.0280665,"\int e^{a+b x} \text{csch}^3(a+b x) \, dx","Int[E^(a + b*x)*Csch[a + b*x]^3,x]","-\frac{2 e^{4 a+4 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}","-\frac{2 e^{4 a+4 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}",1,"(-2*E^(4*a + 4*b*x))/(b*(1 - E^(2*a + 2*b*x))^2)","A",3,3,16,0.1875,1,"{2282, 12, 264}"
308,1,101,0,0.0536303,"\int e^{a+b x} \text{csch}^4(a+b x) \, dx","Int[E^(a + b*x)*Csch[a + b*x]^4,x]","\frac{e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{8 e^{3 a+3 b x}}{3 b \left(1-e^{2 a+2 b x}\right)^3}+\frac{\tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{8 e^{3 a+3 b x}}{3 b \left(1-e^{2 a+2 b x}\right)^3}+\frac{\tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(8*E^(3*a + 3*b*x))/(3*b*(1 - E^(2*a + 2*b*x))^3) - (2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))^2) + E^(a + b*x)/(b*(1 - E^(2*a + 2*b*x))) + ArcTanh[E^(a + b*x)]/b","A",6,5,16,0.3125,1,"{2282, 12, 288, 199, 206}"
309,1,66,0,0.056439,"\int e^{a+b x} \text{csch}^5(a+b x) \, dx","Int[E^(a + b*x)*Csch[a + b*x]^5,x]","-\frac{8}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{32}{3 b \left(1-e^{2 a+2 b x}\right)^3}-\frac{4}{b \left(1-e^{2 a+2 b x}\right)^4}","-\frac{8}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{32}{3 b \left(1-e^{2 a+2 b x}\right)^3}-\frac{4}{b \left(1-e^{2 a+2 b x}\right)^4}",1,"-4/(b*(1 - E^(2*a + 2*b*x))^4) + 32/(3*b*(1 - E^(2*a + 2*b*x))^3) - 8/(b*(1 - E^(2*a + 2*b*x))^2)","A",5,4,16,0.2500,1,"{2282, 12, 266, 43}"
310,1,26,0,0.0197871,"\int e^x \sinh ^2(2 x) \, dx","Int[E^x*Sinh[2*x]^2,x]","-\frac{1}{12} e^{-3 x}-\frac{e^x}{2}+\frac{e^{5 x}}{20}","-\frac{1}{12} e^{-3 x}-\frac{e^x}{2}+\frac{e^{5 x}}{20}",1,"-1/(12*E^(3*x)) - E^x/2 + E^(5*x)/20","A",4,3,10,0.3000,1,"{2282, 12, 270}"
311,1,19,0,0.0112669,"\int e^x \sinh (2 x) \, dx","Int[E^x*Sinh[2*x],x]","\frac{e^{-x}}{2}+\frac{e^{3 x}}{6}","\frac{e^{-x}}{2}+\frac{e^{3 x}}{6}",1,"1/(2*E^x) + E^(3*x)/6","A",4,3,8,0.3750,1,"{2282, 12, 14}"
312,1,11,0,0.0127131,"\int e^x \text{csch}(2 x) \, dx","Int[E^x*Csch[2*x],x]","\tan ^{-1}\left(e^x\right)-\tanh ^{-1}\left(e^x\right)","\tan ^{-1}\left(e^x\right)-\tanh ^{-1}\left(e^x\right)",1,"ArcTan[E^x] - ArcTanh[E^x]","A",5,5,8,0.6250,1,"{2282, 12, 298, 203, 206}"
313,1,32,0,0.0242367,"\int e^x \text{csch}^2(2 x) \, dx","Int[E^x*Csch[2*x]^2,x]","\frac{e^x}{1-e^{4 x}}-\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{1}{2} \tanh ^{-1}\left(e^x\right)","\frac{e^x}{1-e^{4 x}}-\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{1}{2} \tanh ^{-1}\left(e^x\right)",1,"E^x/(1 - E^(4*x)) - ArcTan[E^x]/2 - ArcTanh[E^x]/2","A",6,6,10,0.6000,1,"{2282, 12, 288, 212, 206, 203}"
314,1,26,0,0.019706,"\int e^x \sinh ^2(3 x) \, dx","Int[E^x*Sinh[3*x]^2,x]","-\frac{1}{20} e^{-5 x}-\frac{e^x}{2}+\frac{e^{7 x}}{28}","-\frac{1}{20} e^{-5 x}-\frac{e^x}{2}+\frac{e^{7 x}}{28}",1,"-1/(20*E^(5*x)) - E^x/2 + E^(7*x)/28","A",4,3,10,0.3000,1,"{2282, 12, 270}"
315,1,19,0,0.0119808,"\int e^x \sinh (3 x) \, dx","Int[E^x*Sinh[3*x],x]","\frac{e^{-2 x}}{4}+\frac{e^{4 x}}{8}","\frac{e^{-2 x}}{4}+\frac{e^{4 x}}{8}",1,"1/(4*E^(2*x)) + E^(4*x)/8","A",4,3,8,0.3750,1,"{2282, 12, 14}"
316,1,54,0,0.0566651,"\int e^x \text{csch}(3 x) \, dx","Int[E^x*Csch[3*x],x]","\frac{1}{3} \log \left(1-e^{2 x}\right)-\frac{1}{6} \log \left(e^{2 x}+e^{4 x}+1\right)+\frac{\tan ^{-1}\left(\frac{2 e^{2 x}+1}{\sqrt{3}}\right)}{\sqrt{3}}","\frac{1}{3} \log \left(1-e^{2 x}\right)-\frac{1}{6} \log \left(e^{2 x}+e^{4 x}+1\right)+\frac{\tan ^{-1}\left(\frac{2 e^{2 x}+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"ArcTan[(1 + 2*E^(2*x))/Sqrt[3]]/Sqrt[3] + Log[1 - E^(2*x)]/3 - Log[1 + E^(2*x) + E^(4*x)]/6","A",9,9,8,1.125,1,"{2282, 12, 275, 292, 31, 634, 618, 204, 628}"
317,1,105,0,0.1393351,"\int e^x \text{csch}^2(3 x) \, dx","Int[E^x*Csch[3*x]^2,x]","\frac{2 e^x}{3 \left(1-e^{6 x}\right)}+\frac{1}{18} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{18} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{2}{9} \tanh ^{-1}\left(e^x\right)","\frac{2 e^x}{3 \left(1-e^{6 x}\right)}+\frac{1}{18} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{18} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{2}{9} \tanh ^{-1}\left(e^x\right)",1,"(2*E^x)/(3*(1 - E^(6*x))) + ArcTan[(1 - 2*E^x)/Sqrt[3]]/(3*Sqrt[3]) - ArcTan[(1 + 2*E^x)/Sqrt[3]]/(3*Sqrt[3]) - (2*ArcTanh[E^x])/9 + Log[1 - E^x + E^(2*x)]/18 - Log[1 + E^x + E^(2*x)]/18","A",13,9,10,0.9000,1,"{2282, 12, 288, 210, 634, 618, 204, 628, 206}"
318,1,26,0,0.0208464,"\int e^x \sinh ^2(4 x) \, dx","Int[E^x*Sinh[4*x]^2,x]","-\frac{1}{28} e^{-7 x}-\frac{e^x}{2}+\frac{e^{9 x}}{36}","-\frac{1}{28} e^{-7 x}-\frac{e^x}{2}+\frac{e^{9 x}}{36}",1,"-1/(28*E^(7*x)) - E^x/2 + E^(9*x)/36","A",4,3,10,0.3000,1,"{2282, 12, 270}"
319,1,19,0,0.0124461,"\int e^x \sinh (4 x) \, dx","Int[E^x*Sinh[4*x],x]","\frac{e^{-3 x}}{6}+\frac{e^{5 x}}{10}","\frac{e^{-3 x}}{6}+\frac{e^{5 x}}{10}",1,"1/(6*E^(3*x)) + E^(5*x)/10","A",4,3,8,0.3750,1,"{2282, 12, 14}"
320,1,113,0,0.0774718,"\int e^x \text{csch}(4 x) \, dx","Int[E^x*Csch[4*x],x]","-\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}+\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{2 \sqrt{2}}-\frac{1}{2} \tanh ^{-1}\left(e^x\right)","-\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}+\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{2 \sqrt{2}}-\frac{1}{2} \tanh ^{-1}\left(e^x\right)",1,"-ArcTan[E^x]/2 - ArcTan[1 - Sqrt[2]*E^x]/(2*Sqrt[2]) + ArcTan[1 + Sqrt[2]*E^x]/(2*Sqrt[2]) - ArcTanh[E^x]/2 - Log[1 - Sqrt[2]*E^x + E^(2*x)]/(4*Sqrt[2]) + Log[1 + Sqrt[2]*E^x + E^(2*x)]/(4*Sqrt[2])","A",15,12,8,1.500,1,"{2282, 12, 301, 211, 1165, 628, 1162, 617, 204, 212, 206, 203}"
321,1,131,0,0.0884536,"\int e^x \text{csch}^2(4 x) \, dx","Int[E^x*Csch[4*x]^2,x]","\frac{e^x}{2 \left(1-e^{8 x}\right)}+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{1}{8} \tan ^{-1}\left(e^x\right)+\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}-\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}-\frac{1}{8} \tanh ^{-1}\left(e^x\right)","\frac{e^x}{2 \left(1-e^{8 x}\right)}+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{1}{8} \tan ^{-1}\left(e^x\right)+\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}-\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}-\frac{1}{8} \tanh ^{-1}\left(e^x\right)",1,"E^x/(2*(1 - E^(8*x))) - ArcTan[E^x]/8 + ArcTan[1 - Sqrt[2]*E^x]/(8*Sqrt[2]) - ArcTan[1 + Sqrt[2]*E^x]/(8*Sqrt[2]) - ArcTanh[E^x]/8 + Log[1 - Sqrt[2]*E^x + E^(2*x)]/(16*Sqrt[2]) - Log[1 + Sqrt[2]*E^x + E^(2*x)]/(16*Sqrt[2])","A",16,13,10,1.300,1,"{2282, 12, 288, 214, 212, 206, 203, 211, 1165, 628, 1162, 617, 204}"
322,1,202,0,0.0817947,"\int F^{c (a+b x)} \sinh ^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Sinh[d + e*x]^3,x]","-\frac{b c \log (F) \sinh ^3(d+e x) F^{c (a+b x)}}{9 e^2-b^2 c^2 \log ^2(F)}+\frac{6 b c e^2 \log (F) \sinh (d+e x) F^{c (a+b x)}}{-10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{6 e^3 \cosh (d+e x) F^{c (a+b x)}}{-10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{3 e \sinh ^2(d+e x) \cosh (d+e x) F^{c (a+b x)}}{9 e^2-b^2 c^2 \log ^2(F)}","-\frac{b c \log (F) \sinh ^3(d+e x) F^{c (a+b x)}}{9 e^2-b^2 c^2 \log ^2(F)}+\frac{6 b c e^2 \log (F) \sinh (d+e x) F^{c (a+b x)}}{-10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{6 e^3 \cosh (d+e x) F^{c (a+b x)}}{-10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{3 e \sinh ^2(d+e x) \cosh (d+e x) F^{c (a+b x)}}{9 e^2-b^2 c^2 \log ^2(F)}",1,"(-6*e^3*F^(c*(a + b*x))*Cosh[d + e*x])/(9*e^4 - 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4) + (6*b*c*e^2*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x])/(9*e^4 - 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4) + (3*e*F^(c*(a + b*x))*Cosh[d + e*x]*Sinh[d + e*x]^2)/(9*e^2 - b^2*c^2*Log[F]^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x]^3)/(9*e^2 - b^2*c^2*Log[F]^2)","A",2,2,18,0.1111,1,"{5476, 5474}"
323,1,132,0,0.0530106,"\int F^{c (a+b x)} \sinh ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Sinh[d + e*x]^2,x]","-\frac{b c \log (F) \sinh ^2(d+e x) F^{c (a+b x)}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e \sinh (d+e x) \cosh (d+e x) F^{c (a+b x)}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}","-\frac{b c \log (F) \sinh ^2(d+e x) F^{c (a+b x)}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e \sinh (d+e x) \cosh (d+e x) F^{c (a+b x)}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}",1,"(-2*e^2*F^(c*(a + b*x)))/(b*c*Log[F]*(4*e^2 - b^2*c^2*Log[F]^2)) + (2*e*F^(c*(a + b*x))*Cosh[d + e*x]*Sinh[d + e*x])/(4*e^2 - b^2*c^2*Log[F]^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x]^2)/(4*e^2 - b^2*c^2*Log[F]^2)","A",2,2,18,0.1111,1,"{5476, 2194}"
324,1,75,0,0.0186574,"\int F^{c (a+b x)} \sinh (d+e x) \, dx","Int[F^(c*(a + b*x))*Sinh[d + e*x],x]","\frac{e \cosh (d+e x) F^{c (a+b x)}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c \log (F) \sinh (d+e x) F^{c (a+b x)}}{e^2-b^2 c^2 \log ^2(F)}","\frac{e \cosh (d+e x) F^{c (a+b x)}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c \log (F) \sinh (d+e x) F^{c (a+b x)}}{e^2-b^2 c^2 \log ^2(F)}",1,"(e*F^(c*(a + b*x))*Cosh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)","A",1,1,16,0.06250,1,"{5474}"
325,1,66,0,0.0218391,"\int F^{c (a+b x)} \text{csch}(d+e x) \, dx","Int[F^(c*(a + b*x))*Csch[d + e*x],x]","-\frac{2 e^{d+e x} F^{c (a+b x)} \, _2F_1\left(1,\frac{e+b c \log (F)}{2 e};\frac{1}{2} \left(\frac{b c \log (F)}{e}+3\right);e^{2 (d+e x)}\right)}{b c \log (F)+e}","-\frac{2 e^{d+e x} F^{c (a+b x)} \, _2F_1\left(1,\frac{e+b c \log (F)}{2 e};\frac{1}{2} \left(\frac{b c \log (F)}{e}+3\right);e^{2 (d+e x)}\right)}{b c \log (F)+e}",1,"(-2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, E^(2*(d + e*x))])/(e + b*c*Log[F])","A",1,1,16,0.06250,1,"{5493}"
326,1,68,0,0.0294109,"\int F^{c (a+b x)} \text{csch}^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Csch[d + e*x]^2,x]","\frac{4 e^{2 (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{2 e}+1;\frac{b c \log (F)}{2 e}+2;e^{2 (d+e x)}\right)}{b c \log (F)+2 e}","\frac{4 e^{2 (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{2 e}+1;\frac{b c \log (F)}{2 e}+2;e^{2 (d+e x)}\right)}{b c \log (F)+2 e}",1,"(4*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), E^(2*(d + e*x))])/(2*e + b*c*Log[F])","A",1,1,18,0.05556,1,"{5493}"
327,1,122,0,0.0530388,"\int F^{c (a+b x)} \text{csch}^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Csch[d + e*x]^3,x]","\frac{e^{d+e x} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(1,\frac{e+b c \log (F)}{2 e};\frac{1}{2} \left(\frac{b c \log (F)}{e}+3\right);e^{2 (d+e x)}\right)}{e^2}-\frac{b c \log (F) \text{csch}(d+e x) F^{c (a+b x)}}{2 e^2}-\frac{\coth (d+e x) \text{csch}(d+e x) F^{c (a+b x)}}{2 e}","\frac{e^{d+e x} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(1,\frac{e+b c \log (F)}{2 e};\frac{1}{2} \left(\frac{b c \log (F)}{e}+3\right);e^{2 (d+e x)}\right)}{e^2}-\frac{b c \log (F) \text{csch}(d+e x) F^{c (a+b x)}}{2 e^2}-\frac{\coth (d+e x) \text{csch}(d+e x) F^{c (a+b x)}}{2 e}",1,"-(F^(c*(a + b*x))*Coth[d + e*x]*Csch[d + e*x])/(2*e) - (b*c*F^(c*(a + b*x))*Csch[d + e*x]*Log[F])/(2*e^2) + (E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, E^(2*(d + e*x))]*(e - b*c*Log[F]))/e^2","A",2,2,18,0.1111,1,"{5491, 5493}"
328,1,131,0,0.0599853,"\int F^{c (a+b x)} \text{csch}^4(d+e x) \, dx","Int[F^(c*(a + b*x))*Csch[d + e*x]^4,x]","-\frac{2 e^{2 (d+e x)} F^{c (a+b x)} (2 e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{2 e}+1;\frac{b c \log (F)}{2 e}+2;e^{2 (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \text{csch}^2(d+e x) F^{c (a+b x)}}{6 e^2}-\frac{\coth (d+e x) \text{csch}^2(d+e x) F^{c (a+b x)}}{3 e}","-\frac{2 e^{2 (d+e x)} F^{c (a+b x)} (2 e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{2 e}+1;\frac{b c \log (F)}{2 e}+2;e^{2 (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \text{csch}^2(d+e x) F^{c (a+b x)}}{6 e^2}-\frac{\coth (d+e x) \text{csch}^2(d+e x) F^{c (a+b x)}}{3 e}",1,"-(F^(c*(a + b*x))*Coth[d + e*x]*Csch[d + e*x]^2)/(3*e) - (b*c*F^(c*(a + b*x))*Csch[d + e*x]^2*Log[F])/(6*e^2) - (2*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), E^(2*(d + e*x))]*(2*e - b*c*Log[F]))/(3*e^2)","A",2,2,18,0.1111,1,"{5491, 5493}"
329,1,250,0,0.2479791,"\int e^{c (a+b x)} \sinh ^2(a c+b c x)^{5/2} \, dx","Int[E^(c*(a + b*x))*(Sinh[a*c + b*c*x]^2)^(5/2),x]","\frac{e^{-4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{128 b c}-\frac{5 e^{-2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{64 b c}+\frac{5 e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{32 b c}-\frac{5 e^{4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{128 b c}+\frac{e^{6 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{192 b c}-\frac{5}{16} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)","\frac{e^{-4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{128 b c}-\frac{5 e^{-2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{64 b c}+\frac{5 e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{32 b c}-\frac{5 e^{4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{128 b c}+\frac{e^{6 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{192 b c}-\frac{5}{16} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)",1,"(Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(128*b*c*E^(4*c*(a + b*x))) - (5*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(64*b*c*E^(2*c*(a + b*x))) + (5*E^(2*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(32*b*c) - (5*E^(4*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(128*b*c) + (E^(6*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(192*b*c) - (5*x*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/16","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
330,1,162,0,0.1394615,"\int e^{c (a+b x)} \sinh ^2(a c+b c x)^{3/2} \, dx","Int[E^(c*(a + b*x))*(Sinh[a*c + b*c*x]^2)^(3/2),x]","\frac{e^{-2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{16 b c}-\frac{3 e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{16 b c}+\frac{e^{4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{32 b c}+\frac{3}{8} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)","\frac{e^{-2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{16 b c}-\frac{3 e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{16 b c}+\frac{e^{4 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{32 b c}+\frac{3}{8} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)",1,"(Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(16*b*c*E^(2*c*(a + b*x))) - (3*E^(2*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(16*b*c) + (E^(4*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(32*b*c) + (3*x*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/8","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
331,1,74,0,0.1115423,"\int e^{c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \, dx","Int[E^(c*(a + b*x))*Sqrt[Sinh[a*c + b*c*x]^2],x]","\frac{e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{4 b c}-\frac{1}{2} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)","\frac{e^{2 c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)}{4 b c}-\frac{1}{2} x \sqrt{\sinh ^2(a c+b c x)} \text{csch}(a c+b c x)",1,"(E^(2*c*(a + b*x))*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/(4*b*c) - (x*Csch[a*c + b*c*x]*Sqrt[Sinh[a*c + b*c*x]^2])/2","A",5,4,25,0.1600,1,"{6720, 2282, 12, 14}"
332,1,46,0,0.1291087,"\int \frac{e^{c (a+b x)}}{\sqrt{\sinh ^2(a c+b c x)}} \, dx","Int[E^(c*(a + b*x))/Sqrt[Sinh[a*c + b*c*x]^2],x]","\frac{\log \left(1-e^{2 c (a+b x)}\right) \sinh (a c+b c x)}{b c \sqrt{\sinh ^2(a c+b c x)}}","\frac{\log \left(1-e^{2 c (a+b x)}\right) \sinh (a c+b c x)}{b c \sqrt{\sinh ^2(a c+b c x)}}",1,"(Log[1 - E^(2*c*(a + b*x))]*Sinh[a*c + b*c*x])/(b*c*Sqrt[Sinh[a*c + b*c*x]^2])","A",4,4,25,0.1600,1,"{6720, 2282, 12, 260}"
333,1,58,0,0.1431443,"\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{3/2}} \, dx","Int[E^(c*(a + b*x))/(Sinh[a*c + b*c*x]^2)^(3/2),x]","-\frac{2 e^{4 c (a+b x)} \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\sinh ^2(a c+b c x)}}","-\frac{2 e^{4 c (a+b x)} \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\sinh ^2(a c+b c x)}}",1,"(-2*E^(4*c*(a + b*x))*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^2*Sqrt[Sinh[a*c + b*c*x]^2])","A",4,4,25,0.1600,1,"{6720, 2282, 12, 264}"
334,1,147,0,0.2138607,"\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{5/2}} \, dx","Int[E^(c*(a + b*x))/(Sinh[a*c + b*c*x]^2)^(5/2),x]","-\frac{8 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\sinh ^2(a c+b c x)}}+\frac{32 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\sinh ^2(a c+b c x)}}-\frac{4 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\sinh ^2(a c+b c x)}}","-\frac{8 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\sinh ^2(a c+b c x)}}+\frac{32 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\sinh ^2(a c+b c x)}}-\frac{4 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\sinh ^2(a c+b c x)}}",1,"(-4*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^4*Sqrt[Sinh[a*c + b*c*x]^2]) + (32*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^3*Sqrt[Sinh[a*c + b*c*x]^2]) - (8*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^2*Sqrt[Sinh[a*c + b*c*x]^2])","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
335,1,199,0,0.2794573,"\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{7/2}} \, dx","Int[E^(c*(a + b*x))/(Sinh[a*c + b*c*x]^2)^(7/2),x]","\frac{64 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\sinh ^2(a c+b c x)}}-\frac{48 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\sinh ^2(a c+b c x)}}+\frac{192 \sinh (a c+b c x)}{5 b c \left(1-e^{2 c (a+b x)}\right)^5 \sqrt{\sinh ^2(a c+b c x)}}-\frac{32 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^6 \sqrt{\sinh ^2(a c+b c x)}}","\frac{64 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\sinh ^2(a c+b c x)}}-\frac{48 \sinh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\sinh ^2(a c+b c x)}}+\frac{192 \sinh (a c+b c x)}{5 b c \left(1-e^{2 c (a+b x)}\right)^5 \sqrt{\sinh ^2(a c+b c x)}}-\frac{32 \sinh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^6 \sqrt{\sinh ^2(a c+b c x)}}",1,"(-32*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^6*Sqrt[Sinh[a*c + b*c*x]^2]) + (192*Sinh[a*c + b*c*x])/(5*b*c*(1 - E^(2*c*(a + b*x)))^5*Sqrt[Sinh[a*c + b*c*x]^2]) - (48*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^4*Sqrt[Sinh[a*c + b*c*x]^2]) + (64*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^3*Sqrt[Sinh[a*c + b*c*x]^2])","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
336,1,41,0,0.0132719,"\int e^x \sinh (a+b x) \, dx","Int[E^x*Sinh[a + b*x],x]","\frac{e^x \sinh (a+b x)}{1-b^2}-\frac{b e^x \cosh (a+b x)}{1-b^2}","\frac{e^x \sinh (a+b x)}{1-b^2}-\frac{b e^x \cosh (a+b x)}{1-b^2}",1,"-((b*E^x*Cosh[a + b*x])/(1 - b^2)) + (E^x*Sinh[a + b*x])/(1 - b^2)","A",1,1,10,0.1000,1,"{5474}"
337,1,85,0,0.0812564,"\int e^x \sinh \left(a+c x^2\right) \, dx","Int[E^x*Sinh[a + c*x^2],x]","\frac{\sqrt{\pi } e^{\frac{1}{4 c}-a} \text{Erf}\left(\frac{1-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{1}{4 c}} \text{Erfi}\left(\frac{2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{\sqrt{\pi } e^{\frac{1}{4 c}-a} \text{Erf}\left(\frac{1-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{1}{4 c}} \text{Erfi}\left(\frac{2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"(E^(-a + 1/(4*c))*Sqrt[Pi]*Erf[(1 - 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c]) + (E^(a - 1/(4*c))*Sqrt[Pi]*Erfi[(1 + 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c])","A",6,4,12,0.3333,1,"{5512, 2234, 2205, 2204}"
338,1,101,0,0.1469307,"\int e^x \sinh \left(a+b x+c x^2\right) \, dx","Int[E^x*Sinh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{\frac{(1-b)^2}{4 c}-a} \text{Erf}\left(\frac{-b-2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{(b+1)^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{\sqrt{\pi } e^{\frac{(1-b)^2}{4 c}-a} \text{Erf}\left(\frac{-b-2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{(b+1)^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x+1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"(E^(-a + (1 - b)^2/(4*c))*Sqrt[Pi]*Erf[(1 - b - 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c]) + (E^(a - (1 + b)^2/(4*c))*Sqrt[Pi]*Erfi[(1 + b + 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c])","A",6,4,15,0.2667,1,"{5512, 2234, 2205, 2204}"
339,1,65,0,0.0649381,"\int e^{x^2} \sinh (a+b x) \, dx","Int[E^x^2*Sinh[a + b*x],x]","\frac{1}{4} \sqrt{\pi } e^{a-\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (b+2 x)\right)-\frac{1}{4} \sqrt{\pi } e^{-a-\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-b)\right)","\frac{1}{4} \sqrt{\pi } e^{a-\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (b+2 x)\right)-\frac{1}{4} \sqrt{\pi } e^{-a-\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-b)\right)",1,"-(E^(-a - b^2/4)*Sqrt[Pi]*Erfi[(-b + 2*x)/2])/4 + (E^(a - b^2/4)*Sqrt[Pi]*Erfi[(b + 2*x)/2])/4","A",6,3,12,0.2500,1,"{5512, 2234, 2204}"
340,1,65,0,0.0832766,"\int e^{x^2} \sinh \left(a+c x^2\right) \, dx","Int[E^x^2*Sinh[a + c*x^2],x]","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{c+1} x\right)}{4 \sqrt{c+1}}-\frac{\sqrt{\pi } e^{-a} \text{Erfi}\left(\sqrt{1-c} x\right)}{4 \sqrt{1-c}}","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{c+1} x\right)}{4 \sqrt{c+1}}-\frac{\sqrt{\pi } e^{-a} \text{Erfi}\left(\sqrt{1-c} x\right)}{4 \sqrt{1-c}}",1,"-(Sqrt[Pi]*Erfi[Sqrt[1 - c]*x])/(4*Sqrt[1 - c]*E^a) + (E^a*Sqrt[Pi]*Erfi[Sqrt[1 + c]*x])/(4*Sqrt[1 + c])","A",4,2,14,0.1429,1,"{5512, 2204}"
341,1,115,0,0.1679926,"\int e^{x^2} \sinh \left(a+b x+c x^2\right) \, dx","Int[E^x^2*Sinh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 (1-c)}} \text{Erfi}\left(\frac{b-2 (1-c) x}{2 \sqrt{1-c}}\right)}{4 \sqrt{1-c}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 (c+1)}} \text{Erfi}\left(\frac{b+2 (c+1) x}{2 \sqrt{c+1}}\right)}{4 \sqrt{c+1}}","\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 (1-c)}} \text{Erfi}\left(\frac{b-2 (1-c) x}{2 \sqrt{1-c}}\right)}{4 \sqrt{1-c}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 (c+1)}} \text{Erfi}\left(\frac{b+2 (c+1) x}{2 \sqrt{c+1}}\right)}{4 \sqrt{c+1}}",1,"(E^(-a - b^2/(4*(1 - c)))*Sqrt[Pi]*Erfi[(b - 2*(1 - c)*x)/(2*Sqrt[1 - c])])/(4*Sqrt[1 - c]) + (E^(a - b^2/(4*(1 + c)))*Sqrt[Pi]*Erfi[(b + 2*(1 + c)*x)/(2*Sqrt[1 + c])])/(4*Sqrt[1 + c])","A",6,3,17,0.1765,1,"{5512, 2234, 2204}"
342,1,110,0,0.1540127,"\int f^{a+b x} \sinh \left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + f*x^2],x]","\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{b^2 \log ^2(f)}{4 f}} \text{Erfi}\left(\frac{b \log (f)+2 f x}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{4 f}-d} \text{Erf}\left(\frac{2 f x-b \log (f)}{2 \sqrt{f}}\right)","\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{b^2 \log ^2(f)}{4 f}} \text{Erfi}\left(\frac{b \log (f)+2 f x}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{4 f}-d} \text{Erf}\left(\frac{2 f x-b \log (f)}{2 \sqrt{f}}\right)",1,"-(E^(-d + (b^2*Log[f]^2)/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[(2*f*x - b*Log[f])/(2*Sqrt[f])])/4 + (E^(d - (b^2*Log[f]^2)/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erfi[(2*f*x + b*Log[f])/(2*Sqrt[f])])/4","A",8,5,16,0.3125,1,"{5512, 2287, 2234, 2205, 2204}"
343,1,148,0,0.193613,"\int f^{a+b x} \sinh ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + f*x^2]^2,x]","\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{8 f}-2 d} \text{Erf}\left(\frac{4 f x-b \log (f)}{2 \sqrt{2} \sqrt{f}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{2 d-\frac{b^2 \log ^2(f)}{8 f}} \text{Erfi}\left(\frac{b \log (f)+4 f x}{2 \sqrt{2} \sqrt{f}}\right)-\frac{f^{a+b x}}{2 b \log (f)}","\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{8 f}-2 d} \text{Erf}\left(\frac{4 f x-b \log (f)}{2 \sqrt{2} \sqrt{f}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{2 d-\frac{b^2 \log ^2(f)}{8 f}} \text{Erfi}\left(\frac{b \log (f)+4 f x}{2 \sqrt{2} \sqrt{f}}\right)-\frac{f^{a+b x}}{2 b \log (f)}",1,"(E^(-2*d + (b^2*Log[f]^2)/(8*f))*f^(-1/2 + a)*Sqrt[Pi/2]*Erf[(4*f*x - b*Log[f])/(2*Sqrt[2]*Sqrt[f])])/8 + (E^(2*d - (b^2*Log[f]^2)/(8*f))*f^(-1/2 + a)*Sqrt[Pi/2]*Erfi[(4*f*x + b*Log[f])/(2*Sqrt[2]*Sqrt[f])])/8 - f^(a + b*x)/(2*b*Log[f])","A",9,6,18,0.3333,1,"{5512, 2194, 2287, 2234, 2205, 2204}"
344,1,239,0,0.2861349,"\int f^{a+b x} \sinh ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + f*x^2]^3,x]","\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{4 f}-d} \text{Erf}\left(\frac{2 f x-b \log (f)}{2 \sqrt{f}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{12 f}-3 d} \text{Erf}\left(\frac{6 f x-b \log (f)}{2 \sqrt{3} \sqrt{f}}\right)-\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{b^2 \log ^2(f)}{4 f}} \text{Erfi}\left(\frac{b \log (f)+2 f x}{2 \sqrt{f}}\right)+\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{3 d-\frac{b^2 \log ^2(f)}{12 f}} \text{Erfi}\left(\frac{b \log (f)+6 f x}{2 \sqrt{3} \sqrt{f}}\right)","\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{4 f}-d} \text{Erf}\left(\frac{2 f x-b \log (f)}{2 \sqrt{f}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{\frac{b^2 \log ^2(f)}{12 f}-3 d} \text{Erf}\left(\frac{6 f x-b \log (f)}{2 \sqrt{3} \sqrt{f}}\right)-\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{b^2 \log ^2(f)}{4 f}} \text{Erfi}\left(\frac{b \log (f)+2 f x}{2 \sqrt{f}}\right)+\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{3 d-\frac{b^2 \log ^2(f)}{12 f}} \text{Erfi}\left(\frac{b \log (f)+6 f x}{2 \sqrt{3} \sqrt{f}}\right)",1,"(3*E^(-d + (b^2*Log[f]^2)/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[(2*f*x - b*Log[f])/(2*Sqrt[f])])/16 - (E^(-3*d + (b^2*Log[f]^2)/(12*f))*f^(-1/2 + a)*Sqrt[Pi/3]*Erf[(6*f*x - b*Log[f])/(2*Sqrt[3]*Sqrt[f])])/16 - (3*E^(d - (b^2*Log[f]^2)/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erfi[(2*f*x + b*Log[f])/(2*Sqrt[f])])/16 + (E^(3*d - (b^2*Log[f]^2)/(12*f))*f^(-1/2 + a)*Sqrt[Pi/3]*Erfi[(6*f*x + b*Log[f])/(2*Sqrt[3]*Sqrt[f])])/16","A",14,5,18,0.2778,1,"{5512, 2287, 2234, 2205, 2204}"
345,1,115,0,0.2245959,"\int f^{a+b x} \sinh \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + e*x + f*x^2],x]","\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{(b \log (f)+e)^2}{4 f}} \text{Erfi}\left(\frac{b \log (f)+e+2 f x}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{(e-b \log (f))^2}{4 f}-d} \text{Erf}\left(\frac{-b \log (f)+e+2 f x}{2 \sqrt{f}}\right)","\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{(b \log (f)+e)^2}{4 f}} \text{Erfi}\left(\frac{b \log (f)+e+2 f x}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{(e-b \log (f))^2}{4 f}-d} \text{Erf}\left(\frac{-b \log (f)+e+2 f x}{2 \sqrt{f}}\right)",1,"-(E^(-d + (e - b*Log[f])^2/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[(e + 2*f*x - b*Log[f])/(2*Sqrt[f])])/4 + (E^(d - (e + b*Log[f])^2/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erfi[(e + 2*f*x + b*Log[f])/(2*Sqrt[f])])/4","A",8,5,19,0.2632,1,"{5512, 2287, 2234, 2205, 2204}"
346,1,161,0,0.2838475,"\int f^{a+b x} \sinh ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + e*x + f*x^2]^2,x]","\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{\frac{(2 e-b \log (f))^2}{8 f}-2 d} \text{Erf}\left(\frac{-b \log (f)+2 e+4 f x}{2 \sqrt{2} \sqrt{f}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{2 d-\frac{(b \log (f)+2 e)^2}{8 f}} \text{Erfi}\left(\frac{b \log (f)+2 e+4 f x}{2 \sqrt{2} \sqrt{f}}\right)-\frac{f^{a+b x}}{2 b \log (f)}","\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{\frac{(2 e-b \log (f))^2}{8 f}-2 d} \text{Erf}\left(\frac{-b \log (f)+2 e+4 f x}{2 \sqrt{2} \sqrt{f}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} f^{a-\frac{1}{2}} e^{2 d-\frac{(b \log (f)+2 e)^2}{8 f}} \text{Erfi}\left(\frac{b \log (f)+2 e+4 f x}{2 \sqrt{2} \sqrt{f}}\right)-\frac{f^{a+b x}}{2 b \log (f)}",1,"(E^(-2*d + (2*e - b*Log[f])^2/(8*f))*f^(-1/2 + a)*Sqrt[Pi/2]*Erf[(2*e + 4*f*x - b*Log[f])/(2*Sqrt[2]*Sqrt[f])])/8 + (E^(2*d - (2*e + b*Log[f])^2/(8*f))*f^(-1/2 + a)*Sqrt[Pi/2]*Erfi[(2*e + 4*f*x + b*Log[f])/(2*Sqrt[2]*Sqrt[f])])/8 - f^(a + b*x)/(2*b*Log[f])","A",9,6,21,0.2857,1,"{5512, 2194, 2287, 2234, 2205, 2204}"
347,1,257,0,0.4766908,"\int f^{a+b x} \sinh ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sinh[d + e*x + f*x^2]^3,x]","\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{(e-b \log (f))^2}{4 f}-d} \text{Erf}\left(\frac{-b \log (f)+e+2 f x}{2 \sqrt{f}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{\frac{(3 e-b \log (f))^2}{12 f}-3 d} \text{Erf}\left(\frac{-b \log (f)+3 e+6 f x}{2 \sqrt{3} \sqrt{f}}\right)-\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{(b \log (f)+e)^2}{4 f}} \text{Erfi}\left(\frac{b \log (f)+e+2 f x}{2 \sqrt{f}}\right)+\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{3 d-\frac{(b \log (f)+3 e)^2}{12 f}} \text{Erfi}\left(\frac{b \log (f)+3 e+6 f x}{2 \sqrt{3} \sqrt{f}}\right)","\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{(e-b \log (f))^2}{4 f}-d} \text{Erf}\left(\frac{-b \log (f)+e+2 f x}{2 \sqrt{f}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{\frac{(3 e-b \log (f))^2}{12 f}-3 d} \text{Erf}\left(\frac{-b \log (f)+3 e+6 f x}{2 \sqrt{3} \sqrt{f}}\right)-\frac{3}{16} \sqrt{\pi } f^{a-\frac{1}{2}} e^{d-\frac{(b \log (f)+e)^2}{4 f}} \text{Erfi}\left(\frac{b \log (f)+e+2 f x}{2 \sqrt{f}}\right)+\frac{1}{16} \sqrt{\frac{\pi }{3}} f^{a-\frac{1}{2}} e^{3 d-\frac{(b \log (f)+3 e)^2}{12 f}} \text{Erfi}\left(\frac{b \log (f)+3 e+6 f x}{2 \sqrt{3} \sqrt{f}}\right)",1,"(3*E^(-d + (e - b*Log[f])^2/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[(e + 2*f*x - b*Log[f])/(2*Sqrt[f])])/16 - (E^(-3*d + (3*e - b*Log[f])^2/(12*f))*f^(-1/2 + a)*Sqrt[Pi/3]*Erf[(3*e + 6*f*x - b*Log[f])/(2*Sqrt[3]*Sqrt[f])])/16 - (3*E^(d - (e + b*Log[f])^2/(4*f))*f^(-1/2 + a)*Sqrt[Pi]*Erfi[(e + 2*f*x + b*Log[f])/(2*Sqrt[f])])/16 + (E^(3*d - (3*e + b*Log[f])^2/(12*f))*f^(-1/2 + a)*Sqrt[Pi/3]*Erfi[(3*e + 6*f*x + b*Log[f])/(2*Sqrt[3]*Sqrt[f])])/16","A",14,5,21,0.2381,1,"{5512, 2287, 2234, 2205, 2204}"
348,1,133,0,0.1980946,"\int f^{a+c x^2} \sinh (d+e x) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x],x]","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(E^(-d - e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(d - e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]])","A",8,4,16,0.2500,1,"{5512, 2287, 2234, 2204}"
349,1,161,0,0.2261255,"\int f^{a+c x^2} \sinh ^2(d+e x) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x]^2,x]","-\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{c \log (f)}-2 d} \text{Erfi}\left(\frac{e-c x \log (f)}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{e^2}{c \log (f)}} \text{Erfi}\left(\frac{c x \log (f)+e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{c \log (f)}-2 d} \text{Erfi}\left(\frac{e-c x \log (f)}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{e^2}{c \log (f)}} \text{Erfi}\left(\frac{c x \log (f)+e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^(-2*d - e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e - c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) + (E^(2*d - e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",9,4,18,0.2222,1,"{5512, 2204, 2287, 2234}"
350,1,271,0,0.3454772,"\int f^{a+c x^2} \sinh ^3(d+e x) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{-\frac{e^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{-\frac{9 e^2}{4 c \log (f)}-3 d} \text{Erfi}\left(\frac{3 e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{9 e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 \sqrt{\pi } f^a e^{-\frac{e^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{-\frac{9 e^2}{4 c \log (f)}-3 d} \text{Erfi}\left(\frac{3 e-2 c x \log (f)}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{9 e^2}{4 c \log (f)}} \text{Erfi}\left(\frac{2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(-3*E^(-d - e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^(-3*d - (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(3*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) - (3*E^(d - e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^(3*d - (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(3*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]])","A",14,4,18,0.2222,1,"{5512, 2287, 2234, 2204}"
351,1,81,0,0.1703137,"\int f^{a+c x^2} \sinh \left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + f*x^2],x]","\frac{\sqrt{\pi } e^d f^a \text{Erfi}\left(x \sqrt{c \log (f)+f}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } e^{-d} f^a \text{Erf}\left(x \sqrt{f-c \log (f)}\right)}{4 \sqrt{f-c \log (f)}}","\frac{\sqrt{\pi } e^d f^a \text{Erfi}\left(x \sqrt{c \log (f)+f}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } e^{-d} f^a \text{Erf}\left(x \sqrt{f-c \log (f)}\right)}{4 \sqrt{f-c \log (f)}}",1,"-(f^a*Sqrt[Pi]*Erf[x*Sqrt[f - c*Log[f]]])/(4*E^d*Sqrt[f - c*Log[f]]) + (E^d*f^a*Sqrt[Pi]*Erfi[x*Sqrt[f + c*Log[f]]])/(4*Sqrt[f + c*Log[f]])","A",6,4,18,0.2222,1,"{5512, 2287, 2205, 2204}"
352,1,128,0,0.2035093,"\int f^{a+c x^2} \sinh ^2\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + f*x^2]^2,x]","\frac{\sqrt{\pi } e^{-2 d} f^a \text{Erf}\left(x \sqrt{2 f-c \log (f)}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } e^{2 d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 f}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } e^{-2 d} f^a \text{Erf}\left(x \sqrt{2 f-c \log (f)}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } e^{2 d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 f}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) + (f^a*Sqrt[Pi]*Erf[x*Sqrt[2*f - c*Log[f]]])/(8*E^(2*d)*Sqrt[2*f - c*Log[f]]) + (E^(2*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[2*f + c*Log[f]]])/(8*Sqrt[2*f + c*Log[f]])","A",7,4,20,0.2000,1,"{5512, 2204, 2287, 2205}"
353,1,171,0,0.3003488,"\int f^{a+c x^2} \sinh ^3\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + f*x^2]^3,x]","\frac{3 \sqrt{\pi } e^{-d} f^a \text{Erf}\left(x \sqrt{f-c \log (f)}\right)}{16 \sqrt{f-c \log (f)}}-\frac{\sqrt{\pi } e^{-3 d} f^a \text{Erf}\left(x \sqrt{3 f-c \log (f)}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } e^d f^a \text{Erfi}\left(x \sqrt{c \log (f)+f}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } e^{3 d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 f}\right)}{16 \sqrt{c \log (f)+3 f}}","\frac{3 \sqrt{\pi } e^{-d} f^a \text{Erf}\left(x \sqrt{f-c \log (f)}\right)}{16 \sqrt{f-c \log (f)}}-\frac{\sqrt{\pi } e^{-3 d} f^a \text{Erf}\left(x \sqrt{3 f-c \log (f)}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } e^d f^a \text{Erfi}\left(x \sqrt{c \log (f)+f}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } e^{3 d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 f}\right)}{16 \sqrt{c \log (f)+3 f}}",1,"(3*f^a*Sqrt[Pi]*Erf[x*Sqrt[f - c*Log[f]]])/(16*E^d*Sqrt[f - c*Log[f]]) - (f^a*Sqrt[Pi]*Erf[x*Sqrt[3*f - c*Log[f]]])/(16*E^(3*d)*Sqrt[3*f - c*Log[f]]) - (3*E^d*f^a*Sqrt[Pi]*Erfi[x*Sqrt[f + c*Log[f]]])/(16*Sqrt[f + c*Log[f]]) + (E^(3*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[3*f + c*Log[f]]])/(16*Sqrt[3*f + c*Log[f]])","A",10,4,20,0.2000,1,"{5512, 2287, 2205, 2204}"
354,1,140,0,0.3209489,"\int f^{a+c x^2} \sinh \left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x + f*x^2],x]","\frac{\sqrt{\pi } f^a e^{d-\frac{e^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}","\frac{\sqrt{\pi } f^a e^{d-\frac{e^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}",1,"-(E^(-d + e^2/(4*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(e + 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(4*Sqrt[f - c*Log[f]]) + (E^(d - e^2/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(e + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(4*Sqrt[f + c*Log[f]])","A",8,5,21,0.2381,1,"{5512, 2287, 2234, 2205, 2204}"
355,1,183,0,0.3337965,"\int f^{a+c x^2} \sinh ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x + f*x^2]^2,x]","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{2 f-c \log (f)}-2 d} \text{Erf}\left(\frac{x (2 f-c \log (f))+e}{\sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{e^2}{c \log (f)+2 f}} \text{Erfi}\left(\frac{x (c \log (f)+2 f)+e}{\sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{2 f-c \log (f)}-2 d} \text{Erf}\left(\frac{x (2 f-c \log (f))+e}{\sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{e^2}{c \log (f)+2 f}} \text{Erfi}\left(\frac{x (c \log (f)+2 f)+e}{\sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(-2*d + e^2/(2*f - c*Log[f]))*f^a*Sqrt[Pi]*Erf[(e + x*(2*f - c*Log[f]))/Sqrt[2*f - c*Log[f]]])/(8*Sqrt[2*f - c*Log[f]]) + (E^(2*d - e^2/(2*f + c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + x*(2*f + c*Log[f]))/Sqrt[2*f + c*Log[f]]])/(8*Sqrt[2*f + c*Log[f]])","A",9,5,23,0.2174,1,"{5512, 2204, 2287, 2234, 2205}"
356,1,300,0,0.5871264,"\int f^{a+c x^2} \sinh ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sinh[d + e*x + f*x^2]^3,x]","\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{12 f-4 c \log (f)}-3 d} \text{Erf}\left(\frac{2 x (3 f-c \log (f))+3 e}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{e^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{9 e^2}{4 (c \log (f)+3 f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+3 f)+3 e}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}","\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{12 f-4 c \log (f)}-3 d} \text{Erf}\left(\frac{2 x (3 f-c \log (f))+3 e}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{e^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{9 e^2}{4 (c \log (f)+3 f)}} \text{Erfi}\left(\frac{2 x (c \log (f)+3 f)+3 e}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}",1,"(3*E^(-d + e^2/(4*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(e + 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(16*Sqrt[f - c*Log[f]]) - (E^(-3*d + (9*e^2)/(12*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(3*e + 2*x*(3*f - c*Log[f]))/(2*Sqrt[3*f - c*Log[f]])])/(16*Sqrt[3*f - c*Log[f]]) - (3*E^(d - e^2/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(e + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(16*Sqrt[f + c*Log[f]]) + (E^(3*d - (9*e^2)/(4*(3*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(3*e + 2*x*(3*f + c*Log[f]))/(2*Sqrt[3*f + c*Log[f]])])/(16*Sqrt[3*f + c*Log[f]])","A",14,5,23,0.2174,1,"{5512, 2287, 2234, 2205, 2204}"
357,1,153,0,0.3007784,"\int f^{a+b x+c x^2} \sinh (d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x],x]","\frac{\sqrt{\pi } f^a e^{-\frac{(e-b \log (f))^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{-\frac{(e-b \log (f))^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(E^(-d - (e - b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(d - (e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]])","A",8,4,19,0.2105,1,"{5512, 2287, 2234, 2204}"
358,1,219,0,0.3639784,"\int f^{a+b x+c x^2} \sinh ^2(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x]^2,x]","-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{-\frac{(2 e-b \log (f))^2}{4 c \log (f)}-2 d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{(b \log (f)+2 e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{-\frac{(2 e-b \log (f))^2}{4 c \log (f)}-2 d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{(b \log (f)+2 e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}",1,"-(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^(-2*d - (2*e - b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(2*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) + (E^(2*d - (2*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(2*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",10,4,21,0.1905,1,"{5512, 2234, 2204, 2287}"
359,1,315,0,0.4623995,"\int f^{a+b x+c x^2} \sinh ^3(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{-\frac{(e-b \log (f))^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{-\frac{(3 e-b \log (f))^2}{4 c \log (f)}-3 d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{(b \log (f)+3 e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 \sqrt{\pi } f^a e^{-\frac{(e-b \log (f))^2}{4 c \log (f)}-d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{-\frac{(3 e-b \log (f))^2}{4 c \log (f)}-3 d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{(b \log (f)+3 e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(-3*E^(-d - (e - b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^(-3*d - (3*e - b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(3*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) - (3*E^(d - (e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^(3*d - (3*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(3*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]])","A",14,4,21,0.1905,1,"{5512, 2287, 2234, 2204}"
360,1,154,0,0.3315658,"\int f^{a+b x+c x^2} \sinh \left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + f*x^2],x]","\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{b \log (f)-2 x (f-c \log (f))}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}","\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{b \log (f)-2 x (f-c \log (f))}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}",1,"(E^(-d + (b^2*Log[f]^2)/(4*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(4*Sqrt[f - c*Log[f]]) + (E^(d - (b^2*Log[f]^2)/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(4*Sqrt[f + c*Log[f]])","A",8,5,21,0.2381,1,"{5512, 2287, 2234, 2205, 2204}"
361,1,225,0,0.3949807,"\int f^{a+b x+c x^2} \sinh ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + f*x^2]^2,x]","-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{8 f-4 c \log (f)}-2 d} \text{Erf}\left(\frac{b \log (f)-2 x (2 f-c \log (f))}{2 \sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 f)}{2 \sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{8 f-4 c \log (f)}-2 d} \text{Erf}\left(\frac{b \log (f)-2 x (2 f-c \log (f))}{2 \sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{2 d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 f)}{2 \sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^(-2*d + (b^2*Log[f]^2)/(8*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(2*f - c*Log[f]))/(2*Sqrt[2*f - c*Log[f]])])/(8*Sqrt[2*f - c*Log[f]]) + (E^(2*d - (b^2*Log[f]^2)/(8*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(2*f + c*Log[f]))/(2*Sqrt[2*f + c*Log[f]])])/(8*Sqrt[2*f + c*Log[f]])","A",10,5,23,0.2174,1,"{5512, 2234, 2204, 2287, 2205}"
362,1,323,0,0.5300207,"\int f^{a+b x+c x^2} \sinh ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + f*x^2]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{b \log (f)-2 x (f-c \log (f))}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{12 f-4 c \log (f)}-3 d} \text{Erf}\left(\frac{b \log (f)-2 x (3 f-c \log (f))}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 f)}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}","-\frac{3 \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{4 f-4 c \log (f)}-d} \text{Erf}\left(\frac{b \log (f)-2 x (f-c \log (f))}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{12 f-4 c \log (f)}-3 d} \text{Erf}\left(\frac{b \log (f)-2 x (3 f-c \log (f))}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}+\frac{\sqrt{\pi } f^a e^{3 d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 f)}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}",1,"(-3*E^(-d + (b^2*Log[f]^2)/(4*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(16*Sqrt[f - c*Log[f]]) + (E^(-3*d + (b^2*Log[f]^2)/(12*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(3*f - c*Log[f]))/(2*Sqrt[3*f - c*Log[f]])])/(16*Sqrt[3*f - c*Log[f]]) - (3*E^(d - (b^2*Log[f]^2)/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(16*Sqrt[f + c*Log[f]]) + (E^(3*d - (b^2*Log[f]^2)/(4*(3*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(3*f + c*Log[f]))/(2*Sqrt[3*f + c*Log[f]])])/(16*Sqrt[3*f + c*Log[f]])","A",14,5,23,0.2174,1,"{5512, 2287, 2234, 2205, 2204}"
363,1,161,0,0.449089,"\int f^{a+b x+c x^2} \sinh \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x + f*x^2],x]","\frac{\sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } f^a e^{\frac{(e-b \log (f))^2}{4 (f-c \log (f))}-d} \text{Erf}\left(\frac{-b \log (f)+2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}","\frac{\sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{4 \sqrt{c \log (f)+f}}-\frac{\sqrt{\pi } f^a e^{\frac{(e-b \log (f))^2}{4 (f-c \log (f))}-d} \text{Erf}\left(\frac{-b \log (f)+2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{4 \sqrt{f-c \log (f)}}",1,"-(E^(-d + (e - b*Log[f])^2/(4*(f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[(e - b*Log[f] + 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(4*Sqrt[f - c*Log[f]]) + (E^(d - (e + b*Log[f])^2/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(e + b*Log[f] + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(4*Sqrt[f + c*Log[f]])","A",8,5,24,0.2083,1,"{5512, 2287, 2234, 2205, 2204}"
364,1,239,0,0.5456493,"\int f^{a+b x+c x^2} \sinh ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x + f*x^2]^2,x]","-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-b \log (f))^2}{8 f-4 c \log (f)}-2 d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (2 f-c \log (f))+2 e}{2 \sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(2 d-\frac{(b \log (f)+2 e)^2}{4 c \log (f)+8 f}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 f)+2 e}{2 \sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}","-\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-b \log (f))^2}{8 f-4 c \log (f)}-2 d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (2 f-c \log (f))+2 e}{2 \sqrt{2 f-c \log (f)}}\right)}{8 \sqrt{2 f-c \log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(2 d-\frac{(b \log (f)+2 e)^2}{4 c \log (f)+8 f}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 f)+2 e}{2 \sqrt{c \log (f)+2 f}}\right)}{8 \sqrt{c \log (f)+2 f}}",1,"-(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(-2*d + (2*e - b*Log[f])^2/(8*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(2*e - b*Log[f] + 2*x*(2*f - c*Log[f]))/(2*Sqrt[2*f - c*Log[f]])])/(8*Sqrt[2*f - c*Log[f]]) + (E^(2*d - (2*e + b*Log[f])^2/(8*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(2*e + b*Log[f] + 2*x*(2*f + c*Log[f]))/(2*Sqrt[2*f + c*Log[f]])])/(8*Sqrt[2*f + c*Log[f]])","A",10,5,26,0.1923,1,"{5512, 2234, 2204, 2287, 2205}"
365,1,344,0,0.7794116,"\int f^{a+b x+c x^2} \sinh ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sinh[d + e*x + f*x^2]^3,x]","-\frac{\sqrt{\pi } f^a \exp \left(\frac{(3 e-b \log (f))^2}{12 f-4 c \log (f)}-3 d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (3 f-c \log (f))+3 e}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{(e-b \log (f))^2}{4 (f-c \log (f))}-d} \text{Erf}\left(\frac{-b \log (f)+2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(3 d-\frac{(b \log (f)+3 e)^2}{4 (c \log (f)+3 f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 f)+3 e}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}","-\frac{\sqrt{\pi } f^a \exp \left(\frac{(3 e-b \log (f))^2}{12 f-4 c \log (f)}-3 d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (3 f-c \log (f))+3 e}{2 \sqrt{3 f-c \log (f)}}\right)}{16 \sqrt{3 f-c \log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{(e-b \log (f))^2}{4 (f-c \log (f))}-d} \text{Erf}\left(\frac{-b \log (f)+2 x (f-c \log (f))+e}{2 \sqrt{f-c \log (f)}}\right)}{16 \sqrt{f-c \log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(3 d-\frac{(b \log (f)+3 e)^2}{4 (c \log (f)+3 f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 f)+3 e}{2 \sqrt{c \log (f)+3 f}}\right)}{16 \sqrt{c \log (f)+3 f}}-\frac{3 \sqrt{\pi } f^a e^{d-\frac{(b \log (f)+e)^2}{4 (c \log (f)+f)}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+f)+e}{2 \sqrt{c \log (f)+f}}\right)}{16 \sqrt{c \log (f)+f}}",1,"(3*E^(-d + (e - b*Log[f])^2/(4*(f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[(e - b*Log[f] + 2*x*(f - c*Log[f]))/(2*Sqrt[f - c*Log[f]])])/(16*Sqrt[f - c*Log[f]]) - (E^(-3*d + (3*e - b*Log[f])^2/(12*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(3*e - b*Log[f] + 2*x*(3*f - c*Log[f]))/(2*Sqrt[3*f - c*Log[f]])])/(16*Sqrt[3*f - c*Log[f]]) - (3*E^(d - (e + b*Log[f])^2/(4*(f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(e + b*Log[f] + 2*x*(f + c*Log[f]))/(2*Sqrt[f + c*Log[f]])])/(16*Sqrt[f + c*Log[f]]) + (E^(3*d - (3*e + b*Log[f])^2/(4*(3*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(3*e + b*Log[f] + 2*x*(3*f + c*Log[f]))/(2*Sqrt[3*f + c*Log[f]])])/(16*Sqrt[3*f + c*Log[f]])","A",14,5,26,0.1923,1,"{5512, 2287, 2234, 2205, 2204}"
366,1,30,0,0.0376925,"\int (x+\sinh (x))^2 \, dx","Int[(x + Sinh[x])^2,x]","\frac{x^3}{3}-\frac{x}{2}-2 \sinh (x)+2 x \cosh (x)+\frac{1}{2} \sinh (x) \cosh (x)","\frac{x^3}{3}-\frac{x}{2}-2 \sinh (x)+2 x \cosh (x)+\frac{1}{2} \sinh (x) \cosh (x)",1,"-x/2 + x^3/3 + 2*x*Cosh[x] - 2*Sinh[x] + (Cosh[x]*Sinh[x])/2","A",6,5,6,0.8333,1,"{6742, 3296, 2637, 2635, 8}"
367,1,56,0,0.076909,"\int (x+\sinh (x))^3 \, dx","Int[(x + Sinh[x])^3,x]","\frac{x^4}{4}-\frac{3 x^2}{4}+3 x^2 \cosh (x)-\frac{3 \sinh ^2(x)}{4}-6 x \sinh (x)+\frac{\cosh ^3(x)}{3}+5 \cosh (x)+\frac{3}{2} x \sinh (x) \cosh (x)","\frac{x^4}{4}-\frac{3 x^2}{4}+3 x^2 \cosh (x)-\frac{3 \sinh ^2(x)}{4}-6 x \sinh (x)+\frac{\cosh ^3(x)}{3}+5 \cosh (x)+\frac{3}{2} x \sinh (x) \cosh (x)",1,"(-3*x^2)/4 + x^4/4 + 5*Cosh[x] + 3*x^2*Cosh[x] + Cosh[x]^3/3 - 6*x*Sinh[x] + (3*x*Cosh[x]*Sinh[x])/2 - (3*Sinh[x]^2)/4","A",9,6,6,1.000,1,"{6742, 3296, 2638, 3310, 30, 2633}"
368,1,213,0,0.5561589,"\int \frac{\sinh (a+b x)}{c+d x^2} \, dx","Int[Sinh[a + b*x]/(c + d*x^2),x]","-\frac{\sinh \left(a-\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Chi}\left(x b+\frac{\sqrt{-c} b}{\sqrt{d}}\right)}{2 \sqrt{-c} \sqrt{d}}+\frac{\sinh \left(a+\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Chi}\left(\frac{b \sqrt{-c}}{\sqrt{d}}-b x\right)}{2 \sqrt{-c} \sqrt{d}}-\frac{\cosh \left(a+\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Shi}\left(\frac{b \sqrt{-c}}{\sqrt{d}}-b x\right)}{2 \sqrt{-c} \sqrt{d}}-\frac{\cosh \left(a-\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Shi}\left(x b+\frac{\sqrt{-c} b}{\sqrt{d}}\right)}{2 \sqrt{-c} \sqrt{d}}","-\frac{\sinh \left(a-\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Chi}\left(x b+\frac{\sqrt{-c} b}{\sqrt{d}}\right)}{2 \sqrt{-c} \sqrt{d}}+\frac{\sinh \left(a+\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Chi}\left(\frac{b \sqrt{-c}}{\sqrt{d}}-b x\right)}{2 \sqrt{-c} \sqrt{d}}-\frac{\cosh \left(a+\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Shi}\left(\frac{b \sqrt{-c}}{\sqrt{d}}-b x\right)}{2 \sqrt{-c} \sqrt{d}}-\frac{\cosh \left(a-\frac{b \sqrt{-c}}{\sqrt{d}}\right) \text{Shi}\left(x b+\frac{\sqrt{-c} b}{\sqrt{d}}\right)}{2 \sqrt{-c} \sqrt{d}}",1,"-(CoshIntegral[(b*Sqrt[-c])/Sqrt[d] + b*x]*Sinh[a - (b*Sqrt[-c])/Sqrt[d]])/(2*Sqrt[-c]*Sqrt[d]) + (CoshIntegral[(b*Sqrt[-c])/Sqrt[d] - b*x]*Sinh[a + (b*Sqrt[-c])/Sqrt[d]])/(2*Sqrt[-c]*Sqrt[d]) - (Cosh[a + (b*Sqrt[-c])/Sqrt[d]]*SinhIntegral[(b*Sqrt[-c])/Sqrt[d] - b*x])/(2*Sqrt[-c]*Sqrt[d]) - (Cosh[a - (b*Sqrt[-c])/Sqrt[d]]*SinhIntegral[(b*Sqrt[-c])/Sqrt[d] + b*x])/(2*Sqrt[-c]*Sqrt[d])","A",8,4,16,0.2500,1,"{5280, 3303, 3298, 3301}"
369,1,271,0,0.8091642,"\int \frac{\sinh (a+b x)}{c+d x+e x^2} \, dx","Int[Sinh[a + b*x]/(c + d*x + e*x^2),x]","\frac{\sinh \left(a-\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}\right) \text{Chi}\left(\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}-\frac{\sinh \left(a-\frac{b \left(\sqrt{d^2-4 c e}+d\right)}{2 e}\right) \text{Chi}\left(\frac{b \left(d+\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}+\frac{\cosh \left(a-\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}\right) \text{Shi}\left(\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}-\frac{\cosh \left(a-\frac{b \left(\sqrt{d^2-4 c e}+d\right)}{2 e}\right) \text{Shi}\left(\frac{b \left(d+\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}","\frac{\sinh \left(a-\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}\right) \text{Chi}\left(\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}-\frac{\sinh \left(a-\frac{b \left(\sqrt{d^2-4 c e}+d\right)}{2 e}\right) \text{Chi}\left(\frac{b \left(d+\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}+\frac{\cosh \left(a-\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}\right) \text{Shi}\left(\frac{b \left(d-\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}-\frac{\cosh \left(a-\frac{b \left(\sqrt{d^2-4 c e}+d\right)}{2 e}\right) \text{Shi}\left(\frac{b \left(d+\sqrt{d^2-4 c e}\right)}{2 e}+b x\right)}{\sqrt{d^2-4 c e}}",1,"(CoshIntegral[(b*(d - Sqrt[d^2 - 4*c*e]))/(2*e) + b*x]*Sinh[a - (b*(d - Sqrt[d^2 - 4*c*e]))/(2*e)])/Sqrt[d^2 - 4*c*e] - (CoshIntegral[(b*(d + Sqrt[d^2 - 4*c*e]))/(2*e) + b*x]*Sinh[a - (b*(d + Sqrt[d^2 - 4*c*e]))/(2*e)])/Sqrt[d^2 - 4*c*e] + (Cosh[a - (b*(d - Sqrt[d^2 - 4*c*e]))/(2*e)]*SinhIntegral[(b*(d - Sqrt[d^2 - 4*c*e]))/(2*e) + b*x])/Sqrt[d^2 - 4*c*e] - (Cosh[a - (b*(d + Sqrt[d^2 - 4*c*e]))/(2*e)]*SinhIntegral[(b*(d + Sqrt[d^2 - 4*c*e]))/(2*e) + b*x])/Sqrt[d^2 - 4*c*e]","A",8,4,19,0.2105,1,"{6728, 3303, 3298, 3301}"