3.3 Integrals 201 to 300

\(\int \genfrac {}{}{}{}{\sqrt {c-d x^2}}{\sqrt {-a-b x^2}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{\sqrt {-c+d x^2}}{\sqrt {-a-b x^2}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{\sqrt {1+x^2}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{\sqrt {1-x^2}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {-1+x^2}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {-1-x^2}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {1-x^2}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{\sqrt {1-x^2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {-1+x^2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{\sqrt {-1+x^2}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {1+x^2}} \, dx\) [211]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {-1-x^2}} \, dx\) [212]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{\sqrt {-1-x^2}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{\sqrt {1+x^2}} \, dx\) [214]
\(\int \genfrac {}{}{}{}{\sqrt {2+b x^2}}{\sqrt {3+d x^2}} \, dx\) [215]
\(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {c+d x^2}} \, dx\) [216]
\(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {c+d x^2}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {2-3 x^2}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {2-3 x^2}} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sqrt {1-4 x^2}}{\sqrt {2-3 x^2}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {2-3 x^2}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {2-3 x^2}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{\sqrt {1+4 x^2}}{\sqrt {2-3 x^2}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {2+3 x^2}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {2+3 x^2}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{\sqrt {1-4 x^2}}{\sqrt {2+3 x^2}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {2+3 x^2}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {2+3 x^2}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{\sqrt {1+4 x^2}}{\sqrt {2+3 x^2}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {-1+2 x^2}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{\sqrt {1+c^2 x^2}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{\sqrt {2+b x^2}}{\sqrt {3+d x^2}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1-\genfrac {}{}{}{}{2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\sqrt {1-\genfrac {}{}{}{}{2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1-\genfrac {}{}{}{}{2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\sqrt {1-\genfrac {}{}{}{}{2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b x^2} \sqrt {c+d x^2}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2} \sqrt {c-d x^2}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b x^2} \sqrt {c-d x^2}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2+5 x^2}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2+4 x^2}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2+3 x^2}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2+2 x^2}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2+x^2}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {2-x^2}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-2 x^2} \sqrt {1-x^2}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x^2} \sqrt {1-x^2}} \, dx\) [249]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-4 x^2} \sqrt {1-x^2}} \, dx\) [250]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-5 x^2} \sqrt {1-x^2}} \, dx\) [251]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+5 x^2}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+4 x^2}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+3 x^2}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+2 x^2}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+x^2}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-x^2} \sqrt {1+x^2}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-2 x^2} \sqrt {1+x^2}} \, dx\) [258]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x^2} \sqrt {1+x^2}} \, dx\) [259]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-4 x^2} \sqrt {1+x^2}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-5 x^2} \sqrt {1+x^2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {2+5 x^2}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {2+4 x^2}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {2+3 x^2}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {2+2 x^2}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {2+x^2}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-x^2} \sqrt {-1+x^2}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-2 x^2} \sqrt {-1+x^2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x^2} \sqrt {-1+x^2}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-4 x^2} \sqrt {-1+x^2}} \, dx\) [270]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-5 x^2} \sqrt {-1+x^2}} \, dx\) [271]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2+5 x^2}} \, dx\) [272]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2+4 x^2}} \, dx\) [273]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2+3 x^2}} \, dx\) [274]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2+2 x^2}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2+x^2}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-x^2} \sqrt {2-x^2}} \, dx\) [277]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-2 x^2} \sqrt {-1-x^2}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x^2} \sqrt {-1-x^2}} \, dx\) [279]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-4 x^2} \sqrt {-1-x^2}} \, dx\) [280]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-5 x^2} \sqrt {-1-x^2}} \, dx\) [281]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+b x^2} \sqrt {3+d x^2}} \, dx\) [282]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4-x^2} \sqrt {c+d x^2}} \, dx\) [283]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4+x^2} \sqrt {c+d x^2}} \, dx\) [284]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} \sqrt {-1+2 x^2}} \, dx\) [285]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {7-4 \sqrt {3}+x^2}} \, dx\) [286]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-3 \sqrt {3}+2 \sqrt {3} x^2} \sqrt {3+(-3+\sqrt {3}) x^2}} \, dx\) [287]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} \sqrt {2+3 x^2}} \, dx\) [288]
\(\int \genfrac {}{}{}{}{1}{(1+x^2) \sqrt {\genfrac {}{}{}{}{2+3 x^2}{1+x^2}}} \, dx\) [289]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2-3 x^2} \sqrt {1+x^2}} \, dx\) [290]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+3 x^2} (5+7 x^2)^{3/2}} \, dx\) [291]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{2+3 x^2}{5+7 x^2}} (5+7 x^2)^2} \, dx\) [292]
\(\int (-\genfrac {}{}{}{}{7 \sqrt {2+3 x^2}}{(5+7 x^2)^{3/2}}+\genfrac {}{}{}{}{3}{\sqrt {2+3 x^2} \sqrt {5+7 x^2}}) \, dx\) [293]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-\genfrac {}{}{}{}{(b-\sqrt {b^2+4 a c}) x^2}{2 a}} \sqrt {1-\genfrac {}{}{}{}{(b+\sqrt {b^2+4 a c}) x^2}{2 a}}} \, dx\) [294]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b-\sqrt {b^2+4 a c}}} \sqrt {1+\genfrac {}{}{}{}{2 c x^2}{b+\sqrt {b^2+4 a c}}}} \, dx\) [295]
\(\int \genfrac {}{}{}{}{\sqrt {2-3 x^2}}{(1-x^2)^{3/2}} \, dx\) [296]
\(\int \genfrac {}{}{}{}{\sqrt {-2-3 x^2}}{(1+x^2)^{3/2}} \, dx\) [297]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{(2+3 x^2)^{3/2}} \, dx\) [298]
\(\int \genfrac {}{}{}{}{1}{1+x^2} \, dx\) [299]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{(1+x^2)^{3/2}} \, dx\) [300]