3.4.1 \(\int x \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [301]
3.4.2 \(\int \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x} \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^2} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^3} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^4} \, dx\) [306]
3.4.7 \(\int x^m \text {arcsinh}(a x^n) \, dx\) [307]
3.4.8 \(\int x^2 \text {arcsinh}(a x^n) \, dx\) [308]
3.4.9 \(\int x \text {arcsinh}(a x^n) \, dx\) [309]
3.4.10 \(\int \text {arcsinh}(a x^n) \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x} \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^2} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^3} \, dx\) [313]
3.4.14 \(\int (a+i b \arcsin (1-i d x^2))^4 \, dx\) [314]
3.4.15 \(\int (a+i b \arcsin (1-i d x^2))^3 \, dx\) [315]
3.4.16 \(\int (a+i b \arcsin (1-i d x^2))^2 \, dx\) [316]
3.4.17 \(\int (a+i b \arcsin (1-i d x^2)) \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{1}{a+i b \arcsin (1-i d x^2)} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^2} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^3} \, dx\) [320]
3.4.21 \(\int (a-i b \arcsin (1+i d x^2))^4 \, dx\) [321]
3.4.22 \(\int (a-i b \arcsin (1+i d x^2))^3 \, dx\) [322]
3.4.23 \(\int (a-i b \arcsin (1+i d x^2))^2 \, dx\) [323]
3.4.24 \(\int (a-i b \arcsin (1+i d x^2)) \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{1}{a-i b \arcsin (1+i d x^2)} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^2} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^3} \, dx\) [327]
3.4.28 \(\int (a+i b \arcsin (1-i d x^2))^{5/2} \, dx\) [328]
3.4.29 \(\int (a+i b \arcsin (1-i d x^2))^{3/2} \, dx\) [329]
3.4.30 \(\int \sqrt {a+i b \arcsin (1-i d x^2)} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i b \arcsin (1-i d x^2)}} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{3/2}} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{5/2}} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{7/2}} \, dx\) [334]
3.4.35 \(\int (a-i b \arcsin (1+i d x^2))^{5/2} \, dx\) [335]
3.4.36 \(\int (a-i b \arcsin (1+i d x^2))^{3/2} \, dx\) [336]
3.4.37 \(\int \sqrt {a-i b \arcsin (1+i d x^2)} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{1}{\sqrt {a-i b \arcsin (1+i d x^2)}} \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{3/2}} \, dx\) [339]
3.4.40 \(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{5/2}} \, dx\) [340]
3.4.41 \(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{7/2}} \, dx\) [341]
3.4.42 \(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [342]
3.4.43 \(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [343]
3.4.44 \(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [345]
3.4.46 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [346]
3.4.47 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [347]
3.4.48 \(\int \text {arcsinh}(c e^{a+b x}) \, dx\) [348]
3.4.49 \(\int e^{\text {arcsinh}(a+b x)} x^3 \, dx\) [349]
3.4.50 \(\int e^{\text {arcsinh}(a+b x)} x^2 \, dx\) [350]
3.4.51 \(\int e^{\text {arcsinh}(a+b x)} x \, dx\) [351]
3.4.52 \(\int e^{\text {arcsinh}(a+b x)} \, dx\) [352]
3.4.53 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^2} \, dx\) [354]
3.4.55 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^3} \, dx\) [355]
3.4.56 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^4} \, dx\) [356]
3.4.57 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^5} \, dx\) [357]
3.4.58 \(\int e^{\text {arcsinh}(a+b x)^2} x^3 \, dx\) [358]
3.4.59 \(\int e^{\text {arcsinh}(a+b x)^2} x^2 \, dx\) [359]
3.4.60 \(\int e^{\text {arcsinh}(a+b x)^2} x \, dx\) [360]
3.4.61 \(\int e^{\text {arcsinh}(a+b x)^2} \, dx\) [361]
3.4.62 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)^2}}{x} \, dx\) [362]
3.4.63 \(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)^2}}{x^2} \, dx\) [363]
3.4.64 \(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [364]
3.4.65 \(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^2} \text {arcsinh}(x)} \, dx\) [365]
3.4.66 \(\int x^3 \text {arcsinh}(a+b x^4) \, dx\) [366]
3.4.67 \(\int x^{-1+n} \text {arcsinh}(a+b x^n) \, dx\) [367]
3.4.68 \(\int \text {arcsinh}(\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [368]
3.4.69 \(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(\sinh (x))} \, dx\) [369]
3.4.70 \(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {-1+b x^2})^n}{\sqrt {-1+b x^2}} \, dx\) [370]
3.4.71 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+b x^2} \text {arcsinh}(\sqrt {-1+b x^2})} \, dx\) [371]