3.3 Integrals 201 to 300

\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x} \, dx\) [201]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x^3} \, dx\) [202]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x^5} \, dx\) [203]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x^7} \, dx\) [204]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q (e x)^{3/2} \, dx\) [205]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q \sqrt {e x} \, dx\) [206]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{\sqrt {e x}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{(e x)^{3/2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{(e x)^{5/2}} \, dx\) [209]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q (e x)^m \, dx\) [210]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt [5]{c+d x^5} (a c+2 a d x^5)} \, dx\) [211]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt [4]{c+d x^4} (a c+2 a d x^4)} \, dx\) [212]
\(\int \genfrac {}{}{}{}{x}{\sqrt [3]{c+d x^3} (a c+2 a d x^3)} \, dx\) [213]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c+d x^2} (a c+2 a d x^2)} \, dx\) [214]
\(\int \genfrac {}{}{}{}{1}{x (c+d x) (a c+2 a d x)} \, dx\) [215]
\(\int \genfrac {}{}{}{}{c+\genfrac {}{}{}{}{d}{x}}{(a c+\genfrac {}{}{}{}{2 a d}{x}) x^3} \, dx\) [216]
\(\int \genfrac {}{}{}{}{d+c x}{x^3 (2 a d+a c x)} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{(a c+\genfrac {}{}{}{}{2 a d}{x^2}) x^4} \, dx\) [218]
\(\int \genfrac {}{}{}{}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^2 (2 a d+a c x^2)} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+\genfrac {}{}{}{}{d}{x^3}}}{(a c+\genfrac {}{}{}{}{2 a d}{x^3}) x^5} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+\genfrac {}{}{}{}{d}{x^3}}}{x^2 (2 a d+a c x^3)} \, dx\) [221]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a-b x^{3/2}} \sqrt {a+b x^{3/2}}} \, dx\) [233]
\(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2} \, dx\) [234]
\(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2} \, dx\) [235]
\(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{\sqrt {x}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{3/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{5/2}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{7/2}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{9/2}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{11/2}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{7/2}} \, dx\) [249]
\(\int (1+b \sqrt {x})^p (1+d \sqrt {x})^q x^m \, dx\) [250]
\(\int (1+b \sqrt {x})^p (1+d \sqrt {x})^q (e x)^m \, dx\) [251]
\(\int (a+b \sqrt {x})^p (c+d \sqrt {x})^q x^m \, dx\) [252]
\(\int (a+b \sqrt {x})^p (c+d \sqrt {x})^q (e x)^m \, dx\) [253]
\(\int x^2 (a+b x^n) (A+B x^n) \, dx\) [254]
\(\int x (a+b x^n) (A+B x^n) \, dx\) [255]
\(\int (a+b x^n) (A+B x^n) \, dx\) [256]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x} \, dx\) [257]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^2} \, dx\) [258]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^3} \, dx\) [259]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^4} \, dx\) [260]
\(\int x^2 (a+b x^n)^2 (A+B x^n) \, dx\) [261]
\(\int x (a+b x^n)^2 (A+B x^n) \, dx\) [262]
\(\int (a+b x^n)^2 (A+B x^n) \, dx\) [263]
\(\int \genfrac {}{}{}{}{(a+b x^n)^2 (A+B x^n)}{x} \, dx\) [264]
\(\int \genfrac {}{}{}{}{(a+b x^n)^2 (A+B x^n)}{x^2} \, dx\) [265]
\(\int \genfrac {}{}{}{}{(a+b x^n)^2 (A+B x^n)}{x^3} \, dx\) [266]
\(\int \genfrac {}{}{}{}{(a+b x^n)^2 (A+B x^n)}{x^4} \, dx\) [267]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^n)}{a+b x^n} \, dx\) [268]
\(\int \genfrac {}{}{}{}{x (A+B x^n)}{a+b x^n} \, dx\) [269]
\(\int \genfrac {}{}{}{}{A+B x^n}{a+b x^n} \, dx\) [270]
\(\int \genfrac {}{}{}{}{A+B x^n}{x (a+b x^n)} \, dx\) [271]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^2 (a+b x^n)} \, dx\) [272]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^3 (a+b x^n)} \, dx\) [273]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^4 (a+b x^n)} \, dx\) [274]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^n)}{(a+b x^n)^2} \, dx\) [275]
\(\int \genfrac {}{}{}{}{x (A+B x^n)}{(a+b x^n)^2} \, dx\) [276]
\(\int \genfrac {}{}{}{}{A+B x^n}{(a+b x^n)^2} \, dx\) [277]
\(\int \genfrac {}{}{}{}{A+B x^n}{x (a+b x^n)^2} \, dx\) [278]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^2 (a+b x^n)^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^3 (a+b x^n)^2} \, dx\) [280]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^4 (a+b x^n)^2} \, dx\) [281]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^n)}{(a+b x^n)^3} \, dx\) [282]
\(\int \genfrac {}{}{}{}{x (A+B x^n)}{(a+b x^n)^3} \, dx\) [283]
\(\int \genfrac {}{}{}{}{A+B x^n}{(a+b x^n)^3} \, dx\) [284]
\(\int \genfrac {}{}{}{}{A+B x^n}{x (a+b x^n)^3} \, dx\) [285]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^2 (a+b x^n)^3} \, dx\) [286]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^3 (a+b x^n)^3} \, dx\) [287]
\(\int \genfrac {}{}{}{}{A+B x^n}{x^4 (a+b x^n)^3} \, dx\) [288]
\(\int x^{7/2} (a+b x^n) (A+B x^n) \, dx\) [289]
\(\int x^{5/2} (a+b x^n) (A+B x^n) \, dx\) [290]
\(\int x^{3/2} (a+b x^n) (A+B x^n) \, dx\) [291]
\(\int \sqrt {x} (a+b x^n) (A+B x^n) \, dx\) [292]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{\sqrt {x}} \, dx\) [293]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^{3/2}} \, dx\) [294]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^{5/2}} \, dx\) [295]
\(\int \genfrac {}{}{}{}{(a+b x^n) (A+B x^n)}{x^{7/2}} \, dx\) [296]
\(\int x^{5/2} (a+b x^n)^2 (A+B x^n) \, dx\) [297]
\(\int x^{3/2} (a+b x^n)^2 (A+B x^n) \, dx\) [298]
\(\int \sqrt {x} (a+b x^n)^2 (A+B x^n) \, dx\) [299]
\(\int \genfrac {}{}{}{}{(a+b x^n)^2 (A+B x^n)}{\sqrt {x}} \, dx\) [300]