3.4 Integrals 301 to 316

\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^3} \, dx\) [301]
\(\int \sqrt {2+3 x} (f+g x)^{3/2} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2} \, dx\) [302]
\(\int \sqrt {2+3 x} \sqrt {f+g x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2} \, dx\) [303]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{\sqrt {f+g x}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{3/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{5/2}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{7/2}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{9/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{11/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {1+\genfrac {}{}{}{}{5 x}{6}-x^2}}{(f+g x)^{13/2}} \, dx\) [310]
\(\int (d+e x)^2 (f+g x)^n (a d+(b d+a e) x+b e x^2)^p \, dx\) [311]
\(\int (d+e x) (f+g x)^n (a d+(b d+a e) x+b e x^2)^p \, dx\) [312]
\(\int (f+g x)^n (a d+(b d+a e) x+b e x^2)^p \, dx\) [313]
\(\int \genfrac {}{}{}{}{(f+g x)^n (a d+(b d+a e) x+b e x^2)^p}{d+e x} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(f+g x)^n (a d+(b d+a e) x+b e x^2)^p}{(d+e x)^2} \, dx\) [315]
\(\int (d+e x)^m (f+g x)^n (a d+(b d+a e) x+b e x^2)^p \, dx\) [316]