1,0,0,51,0.0000876,"\int e^x \left(1-x^3+x^4-x^5+x^6\right) \, dx","IntegrateAlgebraic[E^x*(1 - x^3 + x^4 - x^5 + x^6),x]","\int e^x \left(1-x^3+x^4-x^5+x^6\right) \, dx","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,"Could not integrate","F",-1
2,0,0,10,0.0000782,"\int \frac{e^{\frac{x}{2+x^2}} \left(2-x^2\right)}{2 x+x^3} \, dx","IntegrateAlgebraic[(E^(x/(2 + x^2))*(2 - x^2))/(2*x + x^3),x]","\int \frac{e^{\frac{x}{2+x^2}} \left(2-x^2\right)}{2 x+x^3} \, dx","\text{Ei}\left(\frac{x}{x^2+2}\right)",1,"Could not integrate","F",-1
3,0,0,28,0.000095,"\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","IntegrateAlgebraic[(E^(x/(2 + x^2))*(2 + 2*x + 3*x^2 - x^3 + 2*x^4))/(2*x + x^3),x]","\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","\text{Ei}\left(\frac{x}{x^2+2}\right)+e^{\frac{x}{x^2+2}} \left(x^2+2\right)",1,"Could not integrate","F",-1
4,0,0,6,0.0000788,"\int \frac{e^{e^x+x} \left(1+e^x\right)}{e^x+x} \, dx","IntegrateAlgebraic[(E^(E^x + x)*(1 + E^x))/(E^x + x),x]","\int \frac{e^{e^x+x} \left(1+e^x\right)}{e^x+x} \, dx","\text{Ei}\left(x+e^x\right)",1,"Could not integrate","F",-1
5,0,0,13,0.0000924,"\int \frac{e^{\frac{1}{-1+x^2}} \left(1-3 x-x^2+x^3\right)}{1-x-x^2+x^3} \, dx","IntegrateAlgebraic[(E^(-1 + x^2)^(-1)*(1 - 3*x - x^2 + x^3))/(1 - x - x^2 + x^3),x]","\int \frac{e^{\frac{1}{-1+x^2}} \left(1-3 x-x^2+x^3\right)}{1-x-x^2+x^3} \, dx","e^{\frac{1}{x^2-1}} (x+1)",1,"Could not integrate","F",-1
6,0,0,10,0.0000361,"\int \frac{e^{1+\frac{1}{\log (x)}} \left(-1+\log ^2(x)\right)}{\log ^2(x)} \, dx","IntegrateAlgebraic[(E^(1 + Log[x]^(-1))*(-1 + Log[x]^2))/Log[x]^2,x]","\int \frac{e^{1+\frac{1}{\log (x)}} \left(-1+\log ^2(x)\right)}{\log ^2(x)} \, dx","x e^{\frac{1}{\log (x)}+1}",1,"Could not integrate","F",-1
7,0,0,10,0.0000391,"\int \frac{e^{x+\frac{1}{\log (x)}} \left(-1+(1+x) \log ^2(x)\right)}{\log ^2(x)} \, dx","IntegrateAlgebraic[(E^(x + Log[x]^(-1))*(-1 + (1 + x)*Log[x]^2))/Log[x]^2,x]","\int \frac{e^{x+\frac{1}{\log (x)}} \left(-1+(1+x) \log ^2(x)\right)}{\log ^2(x)} \, dx","x e^{x+\frac{1}{\log (x)}}",1,"Could not integrate","F",-1