3.1 Integrals 1 to 48

\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2)^{3/2} (c+d x^2) (e+f x^2)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2)^{3/2} (c+d x^2) (e+f x^2)^2} \, dx\) [2]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2)^{3/2} (c+d x^2) (e+f x^2)^3} \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2)^{5/2} (c+d x^2) (e+f x^2)} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+d x^2) (e+f x^2)^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c+d x^2) (e+f x^2)^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{3/2} (c+d x^2) (e+f x^2)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (c+d x^2)^{3/2} (A+B x^2+C x^4)}{e+f x^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} \sqrt {c+d x^2} (A+B x^2+C x^4)}{e+f x^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{\sqrt {c+d x^2} (e+f x^2)} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+d x^2)^{3/2} (e+f x^2)} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+d x^2)^{5/2} (e+f x^2)} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+d x^2)^{7/2} (e+f x^2)} \, dx\) [13]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2) \sqrt {c+d x^2} \sqrt {e+f x^2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2) \sqrt {c-d x^2} \sqrt {e+f x^2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2) \sqrt {c+d x^2} \sqrt {e-f x^2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2) \sqrt {c-d x^2} \sqrt {e-f x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2) \sqrt {c+d x^2} \sqrt {e+f x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2) \sqrt {c-d x^2} \sqrt {e+f x^2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2) \sqrt {c+d x^2} \sqrt {e-f x^2}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2) \sqrt {c-d x^2} \sqrt {e-f x^2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} (c+d x^2)^{3/2} (e+f x^2)} \, dx\) [22]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} (c-d x^2)^{3/2} (e+f x^2)} \, dx\) [23]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} (c+d x^2)^{3/2} (e+f x^2)} \, dx\) [24]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} (c-d x^2)^{3/2} (e+f x^2)} \, dx\) [25]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c+d x^2)^{3/2} (e+f x^2)} \, dx\) [26]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c-d x^2)^{3/2} (e+f x^2)} \, dx\) [27]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} (c+d x^2)^{3/2} (e+f x^2)} \, dx\) [28]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} (c-d x^2)^{3/2} (e+f x^2)} \, dx\) [29]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)^2} \, dx\) [30]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)^3} \, dx\) [31]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} \sqrt {c+d x^2} (A+B x^2+C x^4)}{(e+f x^2)^{3/2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)^{3/2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)^{3/2}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} \sqrt {c-d x^2} (e+f x^2)^{3/2}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} \sqrt {c-d x^2} (e+f x^2)^{3/2}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e-f x^2)^{3/2}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e-f x^2)^{3/2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2} \sqrt {c-d x^2} (e-f x^2)^{3/2}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a-b x^2} \sqrt {c-d x^2} (e-f x^2)^{3/2}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e+f x^2)^{3/2}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e+f x^2)^{3/2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c-d x^2} (e+f x^2)^{3/2}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} \sqrt {c-d x^2} (e+f x^2)^{3/2}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2} (e-f x^2)^{3/2}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} \sqrt {c+d x^2} (e-f x^2)^{3/2}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c-d x^2} (e-f x^2)^{3/2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a-b x^2} \sqrt {c-d x^2} (e-f x^2)^{3/2}} \, dx\) [48]