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3.3
Integrals 201 to 296
3.3.1
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x)) \, dx\) [201]
3.3.2
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{\sqrt {c e+d e x}} \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{3/2}} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{5/2}} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c+d x)}{(c e+d e x)^{7/2}} \, dx\) [205]
3.3.6
\(\int (c e+d e x)^{7/2} (a+b \text {arccosh}(c+d x))^2 \, dx\) [206]
3.3.7
\(\int (c e+d e x)^{5/2} (a+b \text {arccosh}(c+d x))^2 \, dx\) [207]
3.3.8
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^2 \, dx\) [208]
3.3.9
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^2 \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{\sqrt {c e+d e x}} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{3/2}} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{5/2}} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^2}{(c e+d e x)^{7/2}} \, dx\) [213]
3.3.14
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^3 \, dx\) [214]
3.3.15
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^3 \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{\sqrt {c e+d e x}} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{3/2}} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{5/2}} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{7/2}} \, dx\) [219]
3.3.20
\(\int (c e+d e x)^{3/2} (a+b \text {arccosh}(c+d x))^4 \, dx\) [220]
3.3.21
\(\int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^4 \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^4}{\sqrt {c e+d e x}} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{3/2}} \, dx\) [223]
3.3.24
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{5/2}} \, dx\) [224]
3.3.25
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{7/2}} \, dx\) [225]
3.3.26
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^4 \, dx\) [226]
3.3.27
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^3 \, dx\) [227]
3.3.28
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x))^2 \, dx\) [228]
3.3.29
\(\int (c e+d e x)^m (a+b \text {arccosh}(c+d x)) \, dx\) [229]
3.3.30
\(\int \genfrac {}{}{}{}{(c e+d e x)^m}{a+b \text {arccosh}(c+d x)} \, dx\) [230]
3.3.31
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x^5)}{x} \, dx\) [231]
3.3.32
\(\int x^2 \text {arccosh}(\sqrt {x}) \, dx\) [232]
3.3.33
\(\int x \text {arccosh}(\sqrt {x}) \, dx\) [233]
3.3.34
\(\int \text {arccosh}(\sqrt {x}) \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x^2} \, dx\) [236]
3.3.37
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {x})}{x^3} \, dx\) [237]
3.3.38
\(\int \text {arccosh}(\genfrac {}{}{}{}{1}{x}) \, dx\) [238]
3.3.39
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x^n)}{x} \, dx\) [239]
3.3.40
\(\int (a+b \text {arccosh}(1+d x^2))^4 \, dx\) [240]
3.3.41
\(\int (a+b \text {arccosh}(1+d x^2))^3 \, dx\) [241]
3.3.42
\(\int (a+b \text {arccosh}(1+d x^2))^2 \, dx\) [242]
3.3.43
\(\int (a+b \text {arccosh}(1+d x^2)) \, dx\) [243]
3.3.44
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(1+d x^2)} \, dx\) [244]
3.3.45
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^2} \, dx\) [245]
3.3.46
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^3} \, dx\) [246]
3.3.47
\(\int (a+b \text {arccosh}(-1+d x^2))^4 \, dx\) [247]
3.3.48
\(\int (a+b \text {arccosh}(-1+d x^2))^3 \, dx\) [248]
3.3.49
\(\int (a+b \text {arccosh}(-1+d x^2))^2 \, dx\) [249]
3.3.50
\(\int (a+b \text {arccosh}(-1+d x^2)) \, dx\) [250]
3.3.51
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(-1+d x^2)} \, dx\) [251]
3.3.52
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^2} \, dx\) [252]
3.3.53
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^3} \, dx\) [253]
3.3.54
\(\int (a+b \text {arccosh}(1+d x^2))^{5/2} \, dx\) [254]
3.3.55
\(\int (a+b \text {arccosh}(1+d x^2))^{3/2} \, dx\) [255]
3.3.56
\(\int \sqrt {a+b \text {arccosh}(1+d x^2)} \, dx\) [256]
3.3.57
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(1+d x^2)}} \, dx\) [257]
3.3.58
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{3/2}} \, dx\) [258]
3.3.59
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{5/2}} \, dx\) [259]
3.3.60
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(1+d x^2))^{7/2}} \, dx\) [260]
3.3.61
\(\int (a+b \text {arccosh}(-1+d x^2))^{5/2} \, dx\) [261]
3.3.62
\(\int (a+b \text {arccosh}(-1+d x^2))^{3/2} \, dx\) [262]
3.3.63
\(\int \sqrt {a+b \text {arccosh}(-1+d x^2)} \, dx\) [263]
3.3.64
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(-1+d x^2)}} \, dx\) [264]
3.3.65
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{3/2}} \, dx\) [265]
3.3.66
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{5/2}} \, dx\) [266]
3.3.67
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(-1+d x^2))^{7/2}} \, dx\) [267]
3.3.68
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [268]
3.3.69
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [269]
3.3.70
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [270]
3.3.71
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [271]
3.3.72
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [272]
3.3.73
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arccosh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [273]
3.3.74
\(\int \text {arccosh}(c e^{a+b x}) \, dx\) [274]
3.3.75
\(\int e^{\text {arccosh}(a+b x)} x^3 \, dx\) [275]
3.3.76
\(\int e^{\text {arccosh}(a+b x)} x^2 \, dx\) [276]
3.3.77
\(\int e^{\text {arccosh}(a+b x)} x \, dx\) [277]
3.3.78
\(\int e^{\text {arccosh}(a+b x)} \, dx\) [278]
3.3.79
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)}}{x} \, dx\) [279]
3.3.80
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)}}{x^2} \, dx\) [280]
3.3.81
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)}}{x^3} \, dx\) [281]
3.3.82
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)}}{x^4} \, dx\) [282]
3.3.83
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)}}{x^5} \, dx\) [283]
3.3.84
\(\int e^{\text {arccosh}(a+b x)^2} x^3 \, dx\) [284]
3.3.85
\(\int e^{\text {arccosh}(a+b x)^2} x^2 \, dx\) [285]
3.3.86
\(\int e^{\text {arccosh}(a+b x)^2} x \, dx\) [286]
3.3.87
\(\int e^{\text {arccosh}(a+b x)^2} \, dx\) [287]
3.3.88
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)^2}}{x} \, dx\) [288]
3.3.89
\(\int \genfrac {}{}{}{}{e^{\text {arccosh}(a+b x)^2}}{x^2} \, dx\) [289]
3.3.90
\(\int \genfrac {}{}{}{}{\text {arccosh}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [290]
3.3.91
\(\int \genfrac {}{}{}{}{x}{\sqrt {-1+x} \sqrt {1+x} \text {arccosh}(x)} \, dx\) [291]
3.3.92
\(\int x^3 \text {arccosh}(a+b x^4) \, dx\) [292]
3.3.93
\(\int x^{-1+n} \text {arccosh}(a+b x^n) \, dx\) [293]
3.3.94
\(\int \text {arccosh}(\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [294]
3.3.95
\(\int \genfrac {}{}{}{}{\text {arccosh}(\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\) [295]
3.3.96
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} \text {arccosh}(\sqrt {1+b x^2})} \, dx\) [296]
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