3.1 Integrals 1 to 8

\(\int \genfrac {}{}{}{}{2+4 x}{x^2+2 x^3+x^4} \, dx\) [1]
\(\int \genfrac {}{}{}{}{-3+x}{2 x+3 x^2+x^3} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1+x}{-6 x+x^2+x^3} \, dx\) [3]
\(\int \genfrac {}{}{}{}{(5+x)^2}{\sqrt {2 x+3 x^2+x^3}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{5+x}{\sqrt {2 x+3 x^2+x^3}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2 x+3 x^2+x^3}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{1}{(5+x) \sqrt {2 x+3 x^2+x^3}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{(5+x)^2 \sqrt {2 x+3 x^2+x^3}} \, dx\) [8]