3.3 Integrals 201 to 272

\(\int (d+i c d x)^{5/2} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x)) \, dx\) [201]
\(\int (d+i c d x)^{3/2} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x)) \, dx\) [202]
\(\int \sqrt {d+i c d x} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x)) \, dx\) [203]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))}{\sqrt {d+i c d x}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{3/2}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{5/2}} \, dx\) [206]
\(\int (d+i c d x)^{5/2} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [207]
\(\int (d+i c d x)^{3/2} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [208]
\(\int \sqrt {d+i c d x} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [209]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))}{\sqrt {d+i c d x}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{3/2}} \, dx\) [211]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{5/2}} \, dx\) [212]
\(\int (d+i c d x)^{5/2} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [213]
\(\int (d+i c d x)^{3/2} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [214]
\(\int \sqrt {d+i c d x} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [215]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))}{\sqrt {d+i c d x}} \, dx\) [216]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{3/2}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))}{(d+i c d x)^{5/2}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))}{\sqrt {f-i c f x}} \, dx\) [219]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))}{\sqrt {f-i c f x}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))}{\sqrt {f-i c f x}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{\sqrt {d+i c d x} \sqrt {f-i c f x}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{3/2} \sqrt {f-i c f x}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{5/2} \sqrt {f-i c f x}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{3/2}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{3/2}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{3/2}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{\sqrt {d+i c d x} (f-i c f x)^{3/2}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{3/2} (f-i c f x)^{3/2}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{5/2} (f-i c f x)^{3/2}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{5/2}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{5/2}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))}{(f-i c f x)^{5/2}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{\sqrt {d+i c d x} (f-i c f x)^{5/2}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{3/2} (f-i c f x)^{5/2}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+i c d x)^{5/2} (f-i c f x)^{5/2}} \, dx\) [236]
\(\int (d+i c d x)^{5/2} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2 \, dx\) [237]
\(\int (d+i c d x)^{3/2} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2 \, dx\) [238]
\(\int \sqrt {d+i c d x} \sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2 \, dx\) [239]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{\sqrt {f-i c f x} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2}} \, dx\) [242]
\(\int (d+i c d x)^{5/2} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [243]
\(\int (d+i c d x)^{3/2} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [244]
\(\int \sqrt {d+i c d x} (f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [245]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{3/2} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2}} \, dx\) [248]
\(\int (d+i c d x)^{5/2} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [249]
\(\int (d+i c d x)^{3/2} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [250]
\(\int \sqrt {d+i c d x} (f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2 \, dx\) [251]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{(f-i c f x)^{5/2} (a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))^2}{\sqrt {f-i c f x}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))^2}{\sqrt {f-i c f x}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))^2}{\sqrt {f-i c f x}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x} \sqrt {f-i c f x}} \, dx\) [258]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2} \sqrt {f-i c f x}} \, dx\) [259]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2} \sqrt {f-i c f x}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{3/2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{3/2}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{3/2}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x} (f-i c f x)^{3/2}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2} (f-i c f x)^{3/2}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2} (f-i c f x)^{3/2}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{5/2} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{5/2}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{5/2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \text {arcsinh}(c x))^2}{(f-i c f x)^{5/2}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{\sqrt {d+i c d x} (f-i c f x)^{5/2}} \, dx\) [270]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{3/2} (f-i c f x)^{5/2}} \, dx\) [271]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+i c d x)^{5/2} (f-i c f x)^{5/2}} \, dx\) [272]