3.4.1 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{\sqrt {c e+d e x}} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{(c e+d e x)^{3/2}} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^3}{(c e+d e x)^{5/2}} \, dx\) [303]
3.4.4 \(\int \sqrt {c e+d e x} (a+b \arcsin (c+d x))^4 \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{\sqrt {c e+d e x}} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{(c e+d e x)^{3/2}} \, dx\) [306]
3.4.7 \(\int \genfrac {}{}{}{}{(a+b \arcsin (c+d x))^4}{(c e+d e x)^{5/2}} \, dx\) [307]
3.4.8 \(\int (c e+d e x)^m (a+b \arcsin (c+d x))^4 \, dx\) [308]
3.4.9 \(\int (c e+d e x)^m (a+b \arcsin (c+d x))^3 \, dx\) [309]
3.4.10 \(\int (c e+d e x)^m (a+b \arcsin (c+d x))^2 \, dx\) [310]
3.4.11 \(\int (c e+d e x)^m (a+b \arcsin (c+d x)) \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{(c e+d e x)^m}{a+b \arcsin (c+d x)} \, dx\) [312]
3.4.13 \(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^3 \, dx\) [313]
3.4.14 \(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^2 \, dx\) [314]
3.4.15 \(\int \sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x) \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^2} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^3} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{\sqrt {1-a^2-2 a b x-b^2 x^2}}{\arcsin (a+b x)^4} \, dx\) [319]
3.4.20 \(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^3 \, dx\) [320]
3.4.21 \(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^2 \, dx\) [321]
3.4.22 \(\int (1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x) \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^2} \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^3} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{(1-a^2-2 a b x-b^2 x^2)^{3/2}}{\arcsin (a+b x)^4} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)^n}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)^2}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {1-a^2-2 a b x-b^2 x^2}} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^2} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2-2 a b x-b^2 x^2} \arcsin (a+b x)^3} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)^3}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)^2}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{(1-a^2-2 a b x-b^2 x^2)^{3/2}} \, dx\) [335]
3.4.36 \(\int \genfrac {}{}{}{}{1}{(1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)} \, dx\) [336]
3.4.37 \(\int \genfrac {}{}{}{}{1}{(1-a^2-2 a b x-b^2 x^2)^{3/2} \arcsin (a+b x)^2} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {c-c (a+b x)^2}} \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{\arcsin (a+b x)}{\sqrt {(1-a^2) c-2 a b c x-b^2 c x^2}} \, dx\) [339]
3.4.40 \(\int x^9 (a+b \arcsin (c x^2)) \, dx\) [340]
3.4.41 \(\int x^7 (a+b \arcsin (c x^2)) \, dx\) [341]
3.4.42 \(\int x^5 (a+b \arcsin (c x^2)) \, dx\) [342]
3.4.43 \(\int x^3 (a+b \arcsin (c x^2)) \, dx\) [343]
3.4.44 \(\int x (a+b \arcsin (c x^2)) \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x} \, dx\) [345]
3.4.46 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^3} \, dx\) [346]
3.4.47 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^5} \, dx\) [347]
3.4.48 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^7} \, dx\) [348]
3.4.49 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^9} \, dx\) [349]
3.4.50 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^{11}} \, dx\) [350]
3.4.51 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^{13}} \, dx\) [351]
3.4.52 \(\int x^6 (a+b \arcsin (c x^2)) \, dx\) [352]
3.4.53 \(\int x^4 (a+b \arcsin (c x^2)) \, dx\) [353]
3.4.54 \(\int x^2 (a+b \arcsin (c x^2)) \, dx\) [354]
3.4.55 \(\int (a+b \arcsin (c x^2)) \, dx\) [355]
3.4.56 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^2} \, dx\) [356]
3.4.57 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^4} \, dx\) [357]
3.4.58 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^6} \, dx\) [358]
3.4.59 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^2)}{x^8} \, dx\) [359]
3.4.60 \(\int \genfrac {}{}{}{}{\arcsin (a x^5)}{x} \, dx\) [360]
3.4.61 \(\int x^2 \arcsin (\sqrt {x}) \, dx\) [361]
3.4.62 \(\int x \arcsin (\sqrt {x}) \, dx\) [362]
3.4.63 \(\int \arcsin (\sqrt {x}) \, dx\) [363]
3.4.64 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x} \, dx\) [364]
3.4.65 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^2} \, dx\) [365]
3.4.66 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^3} \, dx\) [366]
3.4.67 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^4} \, dx\) [367]
3.4.68 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {x})}{x^5} \, dx\) [368]
3.4.69 \(\int x^4 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [369]
3.4.70 \(\int x^3 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [370]
3.4.71 \(\int x^2 (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [371]
3.4.72 \(\int x (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [372]
3.4.73 \(\int (a+b \arcsin (\genfrac {}{}{}{}{c}{x})) \, dx\) [373]
3.4.74 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x} \, dx\) [374]
3.4.75 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^2} \, dx\) [375]
3.4.76 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^3} \, dx\) [376]
3.4.77 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^4} \, dx\) [377]
3.4.78 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{c}{x})}{x^5} \, dx\) [378]
3.4.79 \(\int x^m (a+b \arcsin (c x^n)) \, dx\) [379]
3.4.80 \(\int x^2 (a+b \arcsin (c x^n)) \, dx\) [380]
3.4.81 \(\int x (a+b \arcsin (c x^n)) \, dx\) [381]
3.4.82 \(\int (a+b \arcsin (c x^n)) \, dx\) [382]
3.4.83 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x} \, dx\) [383]
3.4.84 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x^2} \, dx\) [384]
3.4.85 \(\int \genfrac {}{}{}{}{a+b \arcsin (c x^n)}{x^3} \, dx\) [385]
3.4.86 \(\int x^5 (a+b \arcsin (c+d x^2)) \, dx\) [386]
3.4.87 \(\int x^3 (a+b \arcsin (c+d x^2)) \, dx\) [387]
3.4.88 \(\int x (a+b \arcsin (c+d x^2)) \, dx\) [388]
3.4.89 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x} \, dx\) [389]
3.4.90 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^3} \, dx\) [390]
3.4.91 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^5} \, dx\) [391]
3.4.92 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^7} \, dx\) [392]
3.4.93 \(\int x^4 (a+b \arcsin (c+d x^2)) \, dx\) [393]
3.4.94 \(\int x^2 (a+b \arcsin (c+d x^2)) \, dx\) [394]
3.4.95 \(\int (a+b \arcsin (c+d x^2)) \, dx\) [395]
3.4.96 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^2} \, dx\) [396]
3.4.97 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^4} \, dx\) [397]
3.4.98 \(\int \genfrac {}{}{}{}{a+b \arcsin (c+d x^2)}{x^6} \, dx\) [398]
3.4.99 \(\int x^3 \arcsin (a+b x^4) \, dx\) [399]
3.4.100 \(\int x^{-1+n} \arcsin (a+b x^n) \, dx\) [400]