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3.4
Integrals 301 to 400
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{\sqrt {c e+d e x}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{(c e+d e x)^{3/2}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{(c e+d e x)^{5/2}} \, dx\) [303]
\(\int \sqrt {c e+d e x} (a+b \arcsin (c+d x))^4 \, dx\) [304]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{\sqrt {c e+d e x}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{(c e+d e x)^{3/2}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{(c e+d e x)^{5/2}} \, dx\) [307]
\(\int (c e+d e x)^m (a+b \arcsin (c+d x))^4 \, dx\) [308]
\(\int (c e+d e x)^m (a+b \arcsin (c+d x))^3 \, dx\) [309]
\(\int (c e+d e x)^m (a+b \arcsin (c+d x))^2 \, dx\) [310]
\(\int (c e+d e x)^m (a+b \arcsin (c+d x)) \, dx\) [311]
\(\int \genfrac {}{}{}{}{(c e+d e x)^m}{a+b \arcsin (c+d x)} \, dx\) [312]
\(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^3 \, dx\) [313]
\(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^2 \, dx\) [314]
\(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x) \, dx\) [315]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)} \, dx\) [316]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^2} \, dx\) [317]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^3} \, dx\) [318]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^4} \, dx\) [319]
\(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^3 \, dx\) [320]
\(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^2 \, dx\) [321]
\(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x) \, dx\) [322]
\(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^3} \, dx\) [325]
\(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^4} \, dx\) [326]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)^n}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)^2}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)} \, dx\) [330]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^3} \, dx\) [332]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)^3}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)^2}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [335]
\(\int \genfrac {}{}{}{}{1}{(1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)} \, dx\) [336]
\(\int \genfrac {}{}{}{}{1}{(1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^2} \, dx\) [337]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {c-c (a+b x)^2}} \, dx\) [338]
\(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {(1-a^2) c-2 a b c x-b^2 c x^2}} \, dx\) [339]
\(\int x^9 (a+b \arcsin (c x^2)) \, dx\) [340]
\(\int x^7 (a+b \arcsin (c x^2)) \, dx\) [341]
\(\int x^5 (a+b \arcsin (c x^2)) \, dx\) [342]
\(\int x^3 (a+b \arcsin (c x^2)) \, dx\) [343]
\(\int x (a+b \arcsin (c x^2)) \, dx\) [344]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x} \, dx\) [345]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^3} \, dx\) [346]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^5} \, dx\) [347]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^7} \, dx\) [348]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^9} \, dx\) [349]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^{11}} \, dx\) [350]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^{13}} \, dx\) [351]
\(\int x^6 (a+b \arcsin (c x^2)) \, dx\) [352]
\(\int x^4 (a+b \arcsin (c x^2)) \, dx\) [353]
\(\int x^2 (a+b \arcsin (c x^2)) \, dx\) [354]
\(\int (a+b \arcsin (c x^2)) \, dx\) [355]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^2} \, dx\) [356]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^4} \, dx\) [357]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^6} \, dx\) [358]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^8} \, dx\) [359]
\(\int \genfrac {}{}{}{}{\arcsin (a x^5)}{x} \, dx\) [360]
\(\int x^2 \arcsin (\sqrt {x}) \, dx\) [361]
\(\int x \arcsin (\sqrt {x}) \, dx\) [362]
\(\int \arcsin (\sqrt {x}) \, dx\) [363]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x} \, dx\) [364]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^2} \, dx\) [365]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^3} \, dx\) [366]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^4} \, dx\) [367]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^5} \, dx\) [368]
\(\int x^4 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [369]
\(\int x^3 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [370]
\(\int x^2 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [371]
\(\int x (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [372]
\(\int (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [373]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x} \, dx\) [374]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^2} \, dx\) [375]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^3} \, dx\) [376]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^4} \, dx\) [377]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^5} \, dx\) [378]
\(\int x^m (a+b \arcsin (c x^n)) \, dx\) [379]
\(\int x^2 (a+b \arcsin (c x^n)) \, dx\) [380]
\(\int x (a+b \arcsin (c x^n)) \, dx\) [381]
\(\int (a+b \arcsin (c x^n)) \, dx\) [382]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x} \, dx\) [383]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x^2} \, dx\) [384]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x^3} \, dx\) [385]
\(\int x^5 (a+b \arcsin (c+d x^2)) \, dx\) [386]
\(\int x^3 (a+b \arcsin (c+d x^2)) \, dx\) [387]
\(\int x (a+b \arcsin (c+d x^2)) \, dx\) [388]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x} \, dx\) [389]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^3} \, dx\) [390]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^5} \, dx\) [391]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^7} \, dx\) [392]
\(\int x^4 (a+b \arcsin (c+d x^2)) \, dx\) [393]
\(\int x^2 (a+b \arcsin (c+d x^2)) \, dx\) [394]
\(\int (a+b \arcsin (c+d x^2)) \, dx\) [395]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^2} \, dx\) [396]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^4} \, dx\) [397]
\(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^6} \, dx\) [398]
\(\int x^3 \arcsin (a+b x^4) \, dx\) [399]
\(\int x^{-1+n} \arcsin (a+b x^n) \, dx\) [400]
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