3.3 Integrals 201 to 300

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