3.3 Integrals 201 to 296

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