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3.2
Integrals 101 to 156
3.2.1
\(\int \genfrac {}{}{}{}{x^2}{\text {arcsinh}(a x)^{3/2}} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(a x)^{3/2}} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{1}{\text {arcsinh}(a x)^{3/2}} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{1}{x \text {arcsinh}(a x)^{3/2}} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{x^4}{\text {arcsinh}(a x)^{5/2}} \, dx\) [105]
3.2.6
\(\int \genfrac {}{}{}{}{x^3}{\text {arcsinh}(a x)^{5/2}} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{x^2}{\text {arcsinh}(a x)^{5/2}} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(a x)^{5/2}} \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{1}{\text {arcsinh}(a x)^{5/2}} \, dx\) [109]
3.2.10
\(\int \genfrac {}{}{}{}{1}{x \text {arcsinh}(a x)^{5/2}} \, dx\) [110]
3.2.11
\(\int \genfrac {}{}{}{}{x^4}{\text {arcsinh}(a x)^{7/2}} \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{x^3}{\text {arcsinh}(a x)^{7/2}} \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{x^2}{\text {arcsinh}(a x)^{7/2}} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(a x)^{7/2}} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{1}{\text {arcsinh}(a x)^{7/2}} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{1}{x \text {arcsinh}(a x)^{7/2}} \, dx\) [116]
3.2.17
\(\int x^m \text {arcsinh}(a x)^4 \, dx\) [117]
3.2.18
\(\int x^m \text {arcsinh}(a x)^3 \, dx\) [118]
3.2.19
\(\int x^m \text {arcsinh}(a x)^2 \, dx\) [119]
3.2.20
\(\int x^m \text {arcsinh}(a x) \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{x^m}{\text {arcsinh}(a x)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{x^m}{\text {arcsinh}(a x)^2} \, dx\) [122]
3.2.23
\(\int x^m \text {arcsinh}(a x)^{5/2} \, dx\) [123]
3.2.24
\(\int x^m \text {arcsinh}(a x)^{3/2} \, dx\) [124]
3.2.25
\(\int x^m \sqrt {\text {arcsinh}(a x)} \, dx\) [125]
3.2.26
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {\text {arcsinh}(a x)}} \, dx\) [126]
3.2.27
\(\int \genfrac {}{}{}{}{x^m}{\text {arcsinh}(a x)^{3/2}} \, dx\) [127]
3.2.28
\(\int (b x)^m \text {arcsinh}(a x)^n \, dx\) [128]
3.2.29
\(\int x^4 \text {arcsinh}(a x)^n \, dx\) [129]
3.2.30
\(\int x^3 \text {arcsinh}(a x)^n \, dx\) [130]
3.2.31
\(\int x^2 \text {arcsinh}(a x)^n \, dx\) [131]
3.2.32
\(\int x \text {arcsinh}(a x)^n \, dx\) [132]
3.2.33
\(\int \text {arcsinh}(a x)^n \, dx\) [133]
3.2.34
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x)^n}{x} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x)^n}{x^2} \, dx\) [135]
3.2.36
\(\int x^2 \sqrt {a+b \text {arcsinh}(c x)} \, dx\) [136]
3.2.37
\(\int x \sqrt {a+b \text {arcsinh}(c x)} \, dx\) [137]
3.2.38
\(\int \sqrt {a+b \text {arcsinh}(c x)} \, dx\) [138]
3.2.39
\(\int x^2 (a+b \text {arcsinh}(c x))^{3/2} \, dx\) [139]
3.2.40
\(\int x (a+b \text {arcsinh}(c x))^{3/2} \, dx\) [140]
3.2.41
\(\int (a+b \text {arcsinh}(c x))^{3/2} \, dx\) [141]
3.2.42
\(\int x^2 (a+b \text {arcsinh}(c x))^{5/2} \, dx\) [142]
3.2.43
\(\int x (a+b \text {arcsinh}(c x))^{5/2} \, dx\) [143]
3.2.44
\(\int (a+b \text {arcsinh}(c x))^{5/2} \, dx\) [144]
3.2.45
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b \text {arcsinh}(c x)}} \, dx\) [145]
3.2.46
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \text {arcsinh}(c x)}} \, dx\) [146]
3.2.47
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arcsinh}(c x)}} \, dx\) [147]
3.2.48
\(\int \genfrac {}{}{}{}{x^2}{(a+b \text {arcsinh}(c x))^{3/2}} \, dx\) [148]
3.2.49
\(\int \genfrac {}{}{}{}{x}{(a+b \text {arcsinh}(c x))^{3/2}} \, dx\) [149]
3.2.50
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arcsinh}(c x))^{3/2}} \, dx\) [150]
3.2.51
\(\int \genfrac {}{}{}{}{x^2}{(a+b \text {arcsinh}(c x))^{5/2}} \, dx\) [151]
3.2.52
\(\int \genfrac {}{}{}{}{x}{(a+b \text {arcsinh}(c x))^{5/2}} \, dx\) [152]
3.2.53
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arcsinh}(c x))^{5/2}} \, dx\) [153]
3.2.54
\(\int \genfrac {}{}{}{}{x^2}{(a+b \text {arcsinh}(c x))^{7/2}} \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{x}{(a+b \text {arcsinh}(c x))^{7/2}} \, dx\) [155]
3.2.56
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arcsinh}(c x))^{7/2}} \, dx\) [156]
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