1,1,40,0,0.0074687,"\int \frac{(-5+3 x)^2}{(-1+2 x)^{7/2}} \, dx","Int[(-5 + 3*x)^2/(-1 + 2*x)^(7/2),x]","-\frac{9}{4 \sqrt{2 x-1}}+\frac{7}{2 (2 x-1)^{3/2}}-\frac{49}{20 (2 x-1)^{5/2}}","-\frac{9}{4 \sqrt{2 x-1}}+\frac{7}{2 (2 x-1)^{3/2}}-\frac{49}{20 (2 x-1)^{5/2}}",1,"-49/(20*(-1 + 2*x)^(5/2)) + 7/(2*(-1 + 2*x)^(3/2)) - 9/(4*Sqrt[-1 + 2*x])","A",2,1,17,0.05882,1,"{43}"
2,1,24,0,0.0178917,"\int \frac{1}{-5 e^{-m x}+2 e^{m x}} \, dx","Int[(-5/E^(m*x) + 2*E^(m*x))^(-1),x]","-\frac{\tanh ^{-1}\left(\sqrt{\frac{2}{5}} e^{m x}\right)}{\sqrt{10} m}","-\frac{\tanh ^{-1}\left(\sqrt{\frac{2}{5}} e^{m x}\right)}{\sqrt{10} m}",1,"-(ArcTanh[Sqrt[2/5]*E^(m*x)]/(Sqrt[10]*m))","A",2,2,18,0.1111,1,"{2282, 207}"
3,1,42,0,0.0423913,"\int \frac{1}{a+b \cos (x)} \, dx","Int[(a + b*Cos[x])^(-1),x]","\frac{2 \tan ^{-1}\left(\frac{\sqrt{a-b} \tan \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{\sqrt{a-b} \sqrt{a+b}}","\frac{2 \tan ^{-1}\left(\frac{\sqrt{a-b} \tan \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{\sqrt{a-b} \sqrt{a+b}}",1,"(2*ArcTan[(Sqrt[a - b]*Tan[x/2])/Sqrt[a + b]])/(Sqrt[a - b]*Sqrt[a + b])","A",2,2,8,0.2500,1,"{2659, 205}"
4,1,15,0,0.0131235,"\int \frac{1}{3+3 \cos (x)+4 \sin (x)} \, dx","Int[(3 + 3*Cos[x] + 4*Sin[x])^(-1),x]","\frac{1}{4} \log \left(4 \tan \left(\frac{x}{2}\right)+3\right)","\frac{1}{4} \log \left(4 \tan \left(\frac{x}{2}\right)+3\right)",1,"Log[3 + 4*Tan[x/2]]/4","A",2,2,12,0.1667,1,"{3124, 31}"
5,1,21,0,0.0119244,"\int \frac{1}{4+3 \cos (x)+4 \sin (x)} \, dx","Int[(4 + 3*Cos[x] + 4*Sin[x])^(-1),x]","-\frac{1}{3} \log \left(3 \cot \left(\frac{x}{2}+\frac{\pi }{4}\right)+4\right)","-\frac{1}{3} \log \left(3 \cot \left(\frac{x}{2}+\frac{\pi }{4}\right)+4\right)",1,"-Log[4 + 3*Cot[Pi/4 + x/2]]/3","A",2,2,12,0.1667,1,"{3123, 31}"
6,1,21,0,0.0113994,"\int \frac{1}{5+3 \cos (x)+4 \sin (x)} \, dx","Int[(5 + 3*Cos[x] + 4*Sin[x])^(-1),x]","-\frac{4-5 \sin (x)}{4 (4 \cos (x)-3 \sin (x))}","-\frac{1}{\tan \left(\frac{x}{2}\right)+2}",1,"-(4 - 5*Sin[x])/(4*(4*Cos[x] - 3*Sin[x]))","A",1,1,12,0.08333,1,"{3114}"
7,1,43,0,0.040102,"\int \frac{1}{6+3 \cos (x)+4 \sin (x)} \, dx","Int[(6 + 3*Cos[x] + 4*Sin[x])^(-1),x]","\frac{x}{\sqrt{11}}+\frac{2 \tan ^{-1}\left(\frac{4 \cos (x)-3 \sin (x)}{4 \sin (x)+3 \cos (x)+\sqrt{11}+6}\right)}{\sqrt{11}}","\frac{x}{\sqrt{11}}+\frac{2 \tan ^{-1}\left(\frac{4 \cos (x)-3 \sin (x)}{4 \sin (x)+3 \cos (x)+\sqrt{11}+6}\right)}{\sqrt{11}}",1,"x/Sqrt[11] + (2*ArcTan[(4*Cos[x] - 3*Sin[x])/(6 + Sqrt[11] + 3*Cos[x] + 4*Sin[x])])/Sqrt[11]","A",3,3,12,0.2500,1,"{3124, 618, 204}"
8,1,30,0,0.0129419,"\int \frac{1}{2} \log \left(\left(-a^2+x^2\right)^2\right) \, dx","Int[Log[(-a^2 + x^2)^2]/2,x]","\frac{1}{2} x \log \left(\left(x^2-a^2\right)^2\right)+2 a \tanh ^{-1}\left(\frac{x}{a}\right)-2 x","\frac{1}{2} x \log \left(\left(x^2-a^2\right)^2\right)+2 a \tanh ^{-1}\left(\frac{x}{a}\right)-2 x",1,"-2*x + 2*a*ArcTanh[x/a] + (x*Log[(-a^2 + x^2)^2])/2","A",4,4,16,0.2500,1,"{12, 2448, 321, 207}"