3.2 Integrals 101 to 177

\(\int \genfrac {}{}{}{}{\text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2}}{\sqrt {a^2-x^2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2}}{(a^2-x^2)^{3/2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2}}{(a^2-x^2)^{5/2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^{5/2}}{\sqrt {\text {arccosh}(a x)}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^{3/2}}{\sqrt {\text {arccosh}(a x)}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{\sqrt {c-a^2 c x^2}}{\sqrt {\text {arccosh}(a x)}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c-a^2 c x^2} \sqrt {\text {arccosh}(a x)}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{3/2} \sqrt {\text {arccosh}(a x)}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{5/2} \sqrt {\text {arccosh}(a x)}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^{5/2}}{\text {arccosh}(a x)^{3/2}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^{3/2}}{\text {arccosh}(a x)^{3/2}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{\sqrt {c-a^2 c x^2}}{\text {arccosh}(a x)^{3/2}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{3/2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{3/2} \text {arccosh}(a x)^{3/2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{5/2} \text {arccosh}(a x)^{3/2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^{3/2}}{\text {arccosh}(a x)^{5/2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{\sqrt {c-a^2 c x^2}}{\text {arccosh}(a x)^{5/2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{5/2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{3/2} \text {arccosh}(a x)^{5/2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^{5/2} \text {arccosh}(a x)^{5/2}} \, dx\) [120]
\(\int (d+e x^2)^4 (a+b \text {arccosh}(c x)) \, dx\) [121]
\(\int (c+d x^2)^4 \text {arccosh}(a x) \, dx\) [122]
\(\int (c+d x^2)^3 \text {arccosh}(a x) \, dx\) [123]
\(\int (c+d x^2)^2 \text {arccosh}(a x) \, dx\) [124]
\(\int (c+d x^2) \text {arccosh}(a x) \, dx\) [125]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{c+d x^2} \, dx\) [126]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{(c+d x^2)^2} \, dx\) [127]
\(\int (d+e x^2)^3 (a+b \text {arccosh}(c x))^2 \, dx\) [128]
\(\int (d+e x^2)^2 (a+b \text {arccosh}(c x))^2 \, dx\) [129]
\(\int (d+e x^2) (a+b \text {arccosh}(c x))^2 \, dx\) [130]
\(\int (a+b \text {arccosh}(c x))^2 \, dx\) [131]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{d+e x^2} \, dx\) [132]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{a+b \text {arccosh}(c x)} \, dx\) [133]
\(\int \genfrac {}{}{}{}{d+e x^2}{a+b \text {arccosh}(c x)} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(c x)} \, dx\) [135]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))} \, dx\) [137]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{(a+b \text {arccosh}(c x))^2} \, dx\) [138]
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \text {arccosh}(c x))^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c x))^2} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))^2} \, dx\) [141]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))^2} \, dx\) [142]
\(\int \sqrt {d+e x^2} (a+b \text {arccosh}(c x)) \, dx\) [143]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{\sqrt {d+e x^2}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{3/2}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{5/2}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{7/2}} \, dx\) [147]
\(\int \sqrt {d+e x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [148]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{\sqrt {d+e x^2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{(d+e x^2)^{3/2}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{(d+e x^2)^{5/2}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{a+b \text {arccosh}(c x)} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \text {arccosh}(c x))} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \text {arccosh}(c x))} \, dx\) [155]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [156]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [157]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [159]
\(\int (d+e x^2)^2 \sqrt {a+b \text {arccosh}(c x)} \, dx\) [160]
\(\int (d+e x^2) \sqrt {a+b \text {arccosh}(c x)} \, dx\) [161]
\(\int \sqrt {a+b \text {arccosh}(c x)} \, dx\) [162]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \text {arccosh}(c x)}}{d+e x^2} \, dx\) [163]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \text {arccosh}(c x)}}{(d+e x^2)^2} \, dx\) [164]
\(\int (d+e x^2) (a+b \text {arccosh}(c x))^{3/2} \, dx\) [165]
\(\int (a+b \text {arccosh}(c x))^{3/2} \, dx\) [166]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^{3/2}}{d+e x^2} \, dx\) [167]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^{3/2}}{(d+e x^2)^2} \, dx\) [168]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a+b \text {arccosh}(c x)}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a+b \text {arccosh}(c x)}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [177]