1,1,32,51,0.0280397,"\int e^x \left(1-x^3+x^4-x^5+x^6\right) \, dx","Integrate[E^x*(1 - x^3 + x^4 - x^5 + x^6),x]","e^x \left(x^6-7 x^5+36 x^4-145 x^3+435 x^2-870 x+871\right)","e^x x^6-7 e^x x^5+36 e^x x^4-145 e^x x^3+435 e^x x^2-870 e^x x+871 e^x",1,"E^x*(871 - 870*x + 435*x^2 - 145*x^3 + 36*x^4 - 7*x^5 + x^6)","A",1
2,1,10,10,0.1064486,"\int \frac{e^{\frac{x}{2+x^2}} \left(2-x^2\right)}{2 x+x^3} \, dx","Integrate[(E^(x/(2 + x^2))*(2 - x^2))/(2*x + x^3),x]","\operatorname{ExpIntegralEi}\left(\frac{x}{x^2+2}\right)","\operatorname{ExpIntegralEi}\left(\frac{x}{x^2+2}\right)",1,"ExpIntegralEi[x/(2 + x^2)]","A",1
3,1,39,28,0.3898464,"\int \frac{e^{\frac{x}{2+x^2}} \left(2+2 x+3 x^2-x^3+2 x^4\right)}{2 x+x^3} \, dx","Integrate[(E^(x/(2 + x^2))*(2 + 2*x + 3*x^2 - x^3 + 2*x^4))/(2*x + x^3),x]","\text{Ei}\left(\frac{x}{x^2+2}\right)+e^{\frac{x}{x^2+2}} x^2+2 e^{\frac{x}{x^2+2}}","\text{Ei}\left(\frac{x}{x^2+2}\right)+e^{\frac{x}{x^2+2}} \left(x^2+2\right)",1,"2*E^(x/(2 + x^2)) + E^(x/(2 + x^2))*x^2 + ExpIntegralEi[x/(2 + x^2)]","A",1
4,1,6,6,0.0309815,"\int \frac{e^{e^x+x} \left(1+e^x\right)}{e^x+x} \, dx","Integrate[(E^(E^x + x)*(1 + E^x))/(E^x + x),x]","\operatorname{ExpIntegralEi}\left(x+e^x\right)","\operatorname{ExpIntegralEi}\left(x+e^x\right)",1,"ExpIntegralEi[E^x + x]","A",1
5,1,13,13,0.2178475,"\int \frac{e^{\frac{1}{-1+x^2}} \left(1-3 x-x^2+x^3\right)}{1-x-x^2+x^3} \, dx","Integrate[(E^(-1 + x^2)^(-1)*(1 - 3*x - x^2 + x^3))/(1 - x - x^2 + x^3),x]","e^{\frac{1}{x^2-1}} (x+1)","e^{\frac{1}{x^2-1}} (x+1)",1,"E^(-1 + x^2)^(-1)*(1 + x)","A",1
6,1,10,10,0.0055245,"\int \frac{e^{1+\frac{1}{\log (x)}} \left(-1+\log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(1 + Log[x]^(-1))*(-1 + Log[x]^2))/Log[x]^2,x]","x e^{\frac{1}{\log (x)}+1}","x e^{\frac{1}{\log (x)}+1}",1,"E^(1 + Log[x]^(-1))*x","A",1
7,1,10,10,0.0844488,"\int \frac{e^{x+\frac{1}{\log (x)}} \left(-1+(1+x) \log ^2(x)\right)}{\log ^2(x)} \, dx","Integrate[(E^(x + Log[x]^(-1))*(-1 + (1 + x)*Log[x]^2))/Log[x]^2,x]","x e^{x+\frac{1}{\log (x)}}","x e^{x+\frac{1}{\log (x)}}",1,"E^(x + Log[x]^(-1))*x","A",1