3.1 Integrals 1 to 7

3.1.1 \(\int e^x (1-x^3+x^4-x^5+x^6) \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{2+x^2}} (2-x^2)}{2 x+x^3} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{2+x^2}} (2+2 x+3 x^2-x^3+2 x^4)}{2 x+x^3} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{e^{e^x+x} (1+e^x)}{e^x+x} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{-1+x^2}} (1-3 x-x^2+x^3)}{1-x-x^2+x^3} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{e^{1+\genfrac {}{}{}{}{1}{\log (x)}} (-1+\log ^2(x))}{\log ^2(x)} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{e^{x+\genfrac {}{}{}{}{1}{\log (x)}} (-1+(1+x) \log ^2(x))}{\log ^2(x)} \, dx\) [7]