3.1 Integrals 1 to 18

\(\int \genfrac {}{}{}{}{x^6 (A+B x^2)}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^4 \sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^6 \sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{x^6 (A+B x^2)}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [8]
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [9]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [10]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [11]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^2 \sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [12]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^4 \sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [13]
\(\int \genfrac {}{}{}{}{A+B x^2}{x^6 \sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2} \sqrt {e+f x^2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2} \sqrt {e+f x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} \sqrt {c+d x^2} (A+B x^2+C x^4)}{x^2 \sqrt {e+f x^2}} \, dx\) [18]