3.2 Integrals 101 to 190

\(\int \genfrac {}{}{}{}{c e+d e x}{(a+b \text {arccosh}(c+d x))^{3/2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c+d x))^{3/2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b \text {arccosh}(c+d x))^{3/2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(c e+d e x)^4}{(a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{(c e+d e x)^3}{(a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(c e+d e x)^2}{(a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{c e+d e x}{(a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b \text {arccosh}(c+d x))^{5/2}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(c e+d e x)^4}{(a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(c e+d e x)^3}{(a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{(c e+d e x)^2}{(a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{c e+d e x}{(a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b \text {arccosh}(c+d x))^{7/2}} \, dx\) [115]
\(\int (c e+d e x)^{5/2} (a+b \text {arccosh}(c+d x)) \, dx\) [116]
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x)) \, dx\) [117]
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x)) \, dx\) [118]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{\sqrt {c e+d e x}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{3/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{5/2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{7/2}} \, dx\) [122]
\(\int (c e+d e x)^{5/2} (a+b \text {arccosh}(c+d x))^2 \, dx\) [123]
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^2 \, dx\) [124]
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^2 \, dx\) [125]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{\sqrt {c e+d e x}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{3/2}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{5/2}} \, dx\) [128]
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^3 \, dx\) [129]
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^3 \, dx\) [130]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{\sqrt {c e+d e x}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{3/2}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{5/2}} \, dx\) [133]
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^4 \, dx\) [134]
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^3 \, dx\) [135]
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^2 \, dx\) [136]
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x)) \, dx\) [137]
\(\int \genfrac {}{}{}{}{(c e+d e x)^m}{a+b \text {arccosh}(c+d x)} \, dx\) [138]
\(\int \genfrac {}{}{}{}{(c e+d e x)^m}{(a+b \text {arccosh}(c+d x))^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x^5)}{x} \, dx\) [140]
\(\int x^2 \text {arccosh}(\sqrt {x}) \, dx\) [141]
\(\int x \text {arccosh}(\sqrt {x}) \, dx\) [142]
\(\int \text {arccosh}(\sqrt {x}) \, dx\) [143]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x} \, dx\) [144]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x^2} \, dx\) [145]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x^3} \, dx\) [146]
\(\int \text {arccosh}(\genfrac {}{}{}{}{1}{x}) \, dx\) [147]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x^n)}{x} \, dx\) [148]
\(\int (a+b \text {arccosh}(1+d x^2))^4 \, dx\) [149]
\(\int (a+b \text {arccosh}(1+d x^2))^3 \, dx\) [150]
\(\int (a+b \text {arccosh}(1+d x^2))^2 \, dx\) [151]
\(\int (a+b \text {arccosh}(1+d x^2)) \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(1+d x^2)} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^2} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^3} \, dx\) [155]
\(\int (a+b \text {arccosh}(-1+d x^2))^4 \, dx\) [156]
\(\int (a+b \text {arccosh}(-1+d x^2))^3 \, dx\) [157]
\(\int (a+b \text {arccosh}(-1+d x^2))^2 \, dx\) [158]
\(\int (a+b \text {arccosh}(-1+d x^2)) \, dx\) [159]
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(-1+d x^2)} \, dx\) [160]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^2} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^3} \, dx\) [162]
\(\int (a+b \text {arccosh}(1+d x^2))^{5/2} \, dx\) [163]
\(\int (a+b \text {arccosh}(1+d x^2))^{3/2} \, dx\) [164]
\(\int \sqrt {a+b \text {arccosh}(1+d x^2)} \, dx\) [165]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(1+d x^2)}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{3/2}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{5/2}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{7/2}} \, dx\) [169]
\(\int (a+b \text {arccosh}(-1+d x^2))^{5/2} \, dx\) [170]
\(\int (a+b \text {arccosh}(-1+d x^2))^{3/2} \, dx\) [171]
\(\int \sqrt {a+b \text {arccosh}(-1+d x^2)} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(-1+d x^2)}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{3/2}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{5/2}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{7/2}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [177]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [180]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [181]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [182]
\(\int \text {arccosh}(c e^{a+b x}) \, dx\) [183]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [184]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-1+x} \sqrt {1+x} \text {arccosh}(x)} \, dx\) [185]
\(\int x^3 \text {arccosh}(a+b x^4) \, dx\) [186]
\(\int x^{-1+n} \text {arccosh}(a+b x^n) \, dx\) [187]
\(\int \text {arccosh}(\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [188]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} \text {arccosh}(\sqrt {1+b x^2})} \, dx\) [190]