3.2 Integrals 101 to 200

   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))}{x^3} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))}{x^5} \, dx\) [102]
   \(\int \sqrt {1-x^2} \text {arccosh}(x) \, dx\) [103]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{x (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{\sqrt {d-c^2 d x^2}} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x \sqrt {d-c^2 d x^2}} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^2 \sqrt {d-c^2 d x^2}} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^3 \sqrt {d-c^2 d x^2}} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^4 \sqrt {d-c^2 d x^2}} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [115]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [116]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{x (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d-c^2 d x^2)^{3/2}} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x (d-c^2 d x^2)^{3/2}} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^2 (d-c^2 d x^2)^{3/2}} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^3 (d-c^2 d x^2)^{3/2}} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^4 (d-c^2 d x^2)^{3/2}} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{x (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d-c^2 d x^2)^{5/2}} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x (d-c^2 d x^2)^{5/2}} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^2 (d-c^2 d x^2)^{5/2}} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^3 (d-c^2 d x^2)^{5/2}} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^4 (d-c^2 d x^2)^{5/2}} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{(c-a^2 c x^2)^{7/2}} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{x^4 \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x^3 \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{x^2 \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{x \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{x \sqrt {1-a^2 x^2}} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{x^2 \sqrt {1-a^2 x^2}} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)}{x^3 \sqrt {1-a^2 x^2}} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{(f x)^{3/2} (a+b \text {arccosh}(c x))}{\sqrt {1-c^2 x^2}} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{(f x)^{3/2} (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [144]
   \(\int (f x)^m (d-c^2 d x^2)^3 (a+b \text {arccosh}(c x)) \, dx\) [145]
   \(\int (f x)^m (d-c^2 d x^2)^2 (a+b \text {arccosh}(c x)) \, dx\) [146]
   \(\int (f x)^m (d-c^2 d x^2) (a+b \text {arccosh}(c x)) \, dx\) [147]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{d-c^2 d x^2} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^2} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^3} \, dx\) [150]
   \(\int (f x)^m (d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x)) \, dx\) [151]
   \(\int (f x)^m (d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x)) \, dx\) [152]
   \(\int (f x)^m \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx\) [153]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{3/2}} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d-c^2 d x^2)^{5/2}} \, dx\) [156]
   \(\int (f x)^m (\text {d1}+c \text {d1} x)^{5/2} (\text {d2}-c \text {d2} x)^{5/2} (a+b \text {arccosh}(c x)) \, dx\) [157]
   \(\int (f x)^m (\text {d1}+c \text {d1} x)^{3/2} (\text {d2}-c \text {d2} x)^{3/2} (a+b \text {arccosh}(c x)) \, dx\) [158]
   \(\int (f x)^m \sqrt {\text {d1}+c \text {d1} x} \sqrt {\text {d2}-c \text {d2} x} (a+b \text {arccosh}(c x)) \, dx\) [159]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{\sqrt {\text {d1}+c \text {d1} x} \sqrt {\text {d2}-c \text {d2} x}} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(\text {d1}+c \text {d1} x)^{3/2} (\text {d2}-c \text {d2} x)^{3/2}} \, dx\) [161]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(\text {d1}+c \text {d1} x)^{5/2} (\text {d2}-c \text {d2} x)^{5/2}} \, dx\) [162]
   \(\int \genfrac {}{}{}{}{(f x)^m \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [163]
   \(\int (c-a^2 c x^2)^3 \text {arccosh}(a x)^2 \, dx\) [164]
   \(\int (c-a^2 c x^2)^2 \text {arccosh}(a x)^2 \, dx\) [165]
   \(\int (c-a^2 c x^2) \text {arccosh}(a x)^2 \, dx\) [166]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^2}{c-a^2 c x^2} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^2}{(c-a^2 c x^2)^2} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^2}{(c-a^2 c x^2)^3} \, dx\) [169]
   \(\int x^3 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [170]
   \(\int x^2 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [171]
   \(\int x \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [172]
   \(\int \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [173]
   \(\int \genfrac {}{}{}{}{\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2}{x} \, dx\) [174]
   \(\int \genfrac {}{}{}{}{\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2}{x^2} \, dx\) [175]
   \(\int \genfrac {}{}{}{}{\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2}{x^3} \, dx\) [176]
   \(\int \genfrac {}{}{}{}{\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))^2}{x^4} \, dx\) [177]
   \(\int x^3 (d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2 \, dx\) [178]
   \(\int x^2 (d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2 \, dx\) [179]
   \(\int x (d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2 \, dx\) [180]
   \(\int (d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2 \, dx\) [181]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2}{x} \, dx\) [182]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2}{x^2} \, dx\) [183]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2}{x^3} \, dx\) [184]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{3/2} (a+b \text {arccosh}(c x))^2}{x^4} \, dx\) [185]
   \(\int x^3 (d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2 \, dx\) [186]
   \(\int x^2 (d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2 \, dx\) [187]
   \(\int x (d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2 \, dx\) [188]
   \(\int (d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2 \, dx\) [189]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2}{x} \, dx\) [190]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2}{x^2} \, dx\) [191]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2}{x^3} \, dx\) [192]
   \(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^{5/2} (a+b \text {arccosh}(c x))^2}{x^4} \, dx\) [193]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [194]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [195]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [196]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [197]
   \(\int \genfrac {}{}{}{}{x (a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [198]
   \(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{\sqrt {d-c^2 d x^2}} \, dx\) [199]
   \(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{x \sqrt {d-c^2 d x^2}} \, dx\) [200]