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3.4
Integrals 301 to 371
\(\int x \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [301]
\(\int \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [302]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x} \, dx\) [303]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^2} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^3} \, dx\) [305]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^4} \, dx\) [306]
\(\int x^m \text {arcsinh}(a x^n) \, dx\) [307]
\(\int x^2 \text {arcsinh}(a x^n) \, dx\) [308]
\(\int x \text {arcsinh}(a x^n) \, dx\) [309]
\(\int \text {arcsinh}(a x^n) \, dx\) [310]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x} \, dx\) [311]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^2} \, dx\) [312]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^3} \, dx\) [313]
\(\int (a+i b \arcsin (1-i d x^2))^4 \, dx\) [314]
\(\int (a+i b \arcsin (1-i d x^2))^3 \, dx\) [315]
\(\int (a+i b \arcsin (1-i d x^2))^2 \, dx\) [316]
\(\int (a+i b \arcsin (1-i d x^2)) \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{a+i b \arcsin (1-i d x^2)} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^2} \, dx\) [319]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^3} \, dx\) [320]
\(\int (a-i b \arcsin (1+i d x^2))^4 \, dx\) [321]
\(\int (a-i b \arcsin (1+i d x^2))^3 \, dx\) [322]
\(\int (a-i b \arcsin (1+i d x^2))^2 \, dx\) [323]
\(\int (a-i b \arcsin (1+i d x^2)) \, dx\) [324]
\(\int \genfrac {}{}{}{}{1}{a-i b \arcsin (1+i d x^2)} \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^2} \, dx\) [326]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^3} \, dx\) [327]
\(\int (a+i b \arcsin (1-i d x^2))^{5/2} \, dx\) [328]
\(\int (a+i b \arcsin (1-i d x^2))^{3/2} \, dx\) [329]
\(\int \sqrt {a+i b \arcsin (1-i d x^2)} \, dx\) [330]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i b \arcsin (1-i d x^2)}} \, dx\) [331]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{3/2}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{5/2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{7/2}} \, dx\) [334]
\(\int (a-i b \arcsin (1+i d x^2))^{5/2} \, dx\) [335]
\(\int (a-i b \arcsin (1+i d x^2))^{3/2} \, dx\) [336]
\(\int \sqrt {a-i b \arcsin (1+i d x^2)} \, dx\) [337]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-i b \arcsin (1+i d x^2)}} \, dx\) [338]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{3/2}} \, dx\) [339]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{5/2}} \, dx\) [340]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{7/2}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [342]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [344]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [345]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [347]
\(\int \text {arcsinh}(c e^{a+b x}) \, dx\) [348]
\(\int e^{\text {arcsinh}(a+b x)} x^3 \, dx\) [349]
\(\int e^{\text {arcsinh}(a+b x)} x^2 \, dx\) [350]
\(\int e^{\text {arcsinh}(a+b x)} x \, dx\) [351]
\(\int e^{\text {arcsinh}(a+b x)} \, dx\) [352]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x} \, dx\) [353]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^2} \, dx\) [354]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^3} \, dx\) [355]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^4} \, dx\) [356]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)}}{x^5} \, dx\) [357]
\(\int e^{\text {arcsinh}(a+b x)^2} x^3 \, dx\) [358]
\(\int e^{\text {arcsinh}(a+b x)^2} x^2 \, dx\) [359]
\(\int e^{\text {arcsinh}(a+b x)^2} x \, dx\) [360]
\(\int e^{\text {arcsinh}(a+b x)^2} \, dx\) [361]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)^2}}{x} \, dx\) [362]
\(\int \genfrac {}{}{}{}{e^{\text {arcsinh}(a+b x)^2}}{x^2} \, dx\) [363]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [364]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^2} \text {arcsinh}(x)} \, dx\) [365]
\(\int x^3 \text {arcsinh}(a+b x^4) \, dx\) [366]
\(\int x^{-1+n} \text {arcsinh}(a+b x^n) \, dx\) [367]
\(\int \text {arcsinh}(\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [368]
\(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(\sinh (x))} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {-1+b x^2})^n}{\sqrt {-1+b x^2}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+b x^2} \text {arcsinh}(\sqrt {-1+b x^2})} \, dx\) [371]
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