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3.4
Integrals 301 to 400
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {b+a x^3}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{-x^2+x^4}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {b+a x^4}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt [3]{-x^2+x^6}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3}}{x} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt [3]{1+x^3}}{x^8} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^3}}{x} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (1+x^3)}{x^8} \, dx\) [308]
\(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\) [309]
\(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt [3]{x+x^3}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{-2-x+2 x^2}{(-1+x) x \sqrt [4]{-x^2+x^3}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{2+x}{(-1+x) \sqrt {-x-x^2+x^3}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{(3+x^2) (1+x^2+x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^{11}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^8} \, dx\) [316]
\(\int \genfrac {}{}{}{}{(3+x^2) (-1-x^2+2 x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{2 b+a x^3}{\sqrt {-b+a x^3} (-b+x^2+a x^3)} \, dx\) [318]
\(\int \genfrac {}{}{}{}{(-4+x^4) (-1+x^4)^{3/4}}{x^{12}} \, dx\) [319]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^4}}{x} \, dx\) [320]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x+x^4}}{x^8} \, dx\) [321]
\(\int \genfrac {}{}{}{}{\sqrt [4]{x+x^4}}{x^8} \, dx\) [322]
\(\int \genfrac {}{}{}{}{2+x^2}{(-1+x^2) \sqrt {-1-x^2+x^4}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+x^4)}{x^6 (1+x^3)^{3/4}} \, dx\) [324]
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+x^4)}{x^8 \sqrt [4]{1+x^3}} \, dx\) [325]
\(\int \genfrac {}{}{}{}{(-4+x^3) (1-x^3+x^4)}{x^8 \sqrt [4]{-1+x^3}} \, dx\) [326]
\(\int \genfrac {}{}{}{}{x}{\sqrt {x^3+x^4}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{1}{x (1+x) \sqrt [4]{x^3+x^4}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+2 x^4)}{x^6 (1+x^3)^{3/4}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{(-3+x^4) (1-x^3+x^4)}{x^6 \sqrt [4]{x+x^5}} \, dx\) [330]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x} \, dx\) [331]
\(\int \genfrac {}{}{}{}{-1+x^6}{x \sqrt {1+x^6}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x} \, dx\) [333]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (1+x^6)}{x^{15}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{(1-x^3+x^5) (-3+2 x^5)}{x^6 \sqrt [4]{x+x^6}} \, dx\) [335]
\(\int \genfrac {}{}{}{}{(-2+x^6) (1-x^4+x^6)}{x^8 \sqrt [4]{1+x^6}} \, dx\) [336]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^{15}} \, dx\) [337]
\(\int \genfrac {}{}{}{}{x^2 (-2+x^3) \sqrt {1+x^3}}{1+3 x^3+x^9} \, dx\) [338]
\(\int \genfrac {}{}{}{}{x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (a-a x^5+x^9)} \, dx\) [339]
\(\int \genfrac {}{}{}{}{x^4 (-9+5 x^4)}{\sqrt {-x+x^5} (1-x^4+a x^9)} \, dx\) [340]
\(\int \genfrac {}{}{}{}{x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (1-x^5+a x^9)} \, dx\) [341]
\(\int \genfrac {}{}{}{}{1+x^{12}}{x^{16} \sqrt {-1+x^6}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{-1+x}{(-3+x) (1+x) \sqrt [4]{-2-2 x+x^2}} \, dx\) [343]
\(\int \genfrac {}{}{}{}{1}{(-1+x) \sqrt [4]{2-2 x+x^2}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt [4]{2+2 x+x^2}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{1+x^3}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-b+a x^3}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {-b+a x^3}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1+x}{(-1+x) \sqrt {1-x^2+x^4}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{(-1+x^4) (1+x^4)}{(1+x^2+x^4)^{5/2}} \, dx\) [350]
\(\int \genfrac {}{}{}{}{x^2 (-4+x^3)}{(-1+x^3)^{3/4} (1-x^3+x^4)} \, dx\) [351]
\(\int \genfrac {}{}{}{}{1+2 x}{\sqrt {-4-4 x-3 x^2+2 x^3+x^4}} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-b+a x^4}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{-1+2 x^6}{(1+x^6) \sqrt {1-2 x^2+x^6}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{1+2 x^6}{(-1+x^6) \sqrt {-1-2 x^2+x^6}} \, dx\) [355]
\(\int x^8 \sqrt [3]{-1+x^3} \, dx\) [356]
\(\int x^8 \sqrt [4]{1+x^3} \, dx\) [357]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt [3]{-x+x^3}} \, dx\) [358]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{-x^2+x^3}} \, dx\) [359]
\(\int \genfrac {}{}{}{}{(-3+x^2) (1-x^2+x^3)}{x^6 \sqrt [4]{-x+x^3}} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1+x^2}{(-1+x^2) \sqrt {-x-x^2+x^3}} \, dx\) [361]
\(\int \genfrac {}{}{}{}{-1+x^3}{x^3 (1+x^3) \sqrt [4]{x+x^4}} \, dx\) [362]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^2+x^4}}{x^6} \, dx\) [363]
\(\int \genfrac {}{}{}{}{-1+2 x}{\sqrt {1+x-2 x^3+x^4}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{1+x}{(-1+x) x \sqrt [4]{-x^3+x^4}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{(3+x^4) (-1-x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{(3+x^4) (-1+x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{-1+3 x^4}{(1-a x+x^4) \sqrt {x+x^5}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{-1+3 x^4}{(a-x+a x^4) \sqrt {x+x^5}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6} (2+x^6)}{x^3 (-1-x^4+x^6)} \, dx\) [370]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^6} (1+2 x^6)}{x^2 (-1-x^2+x^6)} \, dx\) [371]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {-1+x^3}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(3-x+x^2) \sqrt {-1+x^3}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(-1+3 x+x^2) \sqrt {-1+x^3}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3}}{x^4} \, dx\) [375]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1+x^3}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{1+x}{(-2+x) \sqrt {1+x^3}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^3}}{x^4} \, dx\) [378]
\(\int \genfrac {}{}{}{}{1+x}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [379]
\(\int \genfrac {}{}{}{}{-1+x}{\sqrt {-5+4 x^2-4 x^3+x^4}} \, dx\) [380]
\(\int \genfrac {}{}{}{}{2+x}{\sqrt {13+16 x^2+8 x^3+x^4}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{x}{\sqrt {b+a x^4}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt {-1+x^6}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x^7} \, dx\) [384]
\(\int \genfrac {}{}{}{}{-1+x^6}{x^7 \sqrt {1+x^6}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x^7} \, dx\) [386]
\(\int \genfrac {}{}{}{}{(2+x^6) (1-2 x^6+x^8+x^{12})}{x^{10} (-1+x^6)^{3/4}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(1-x+3 x^2) \sqrt {-x+x^4}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{1+x^3}{x^3 (-1+x^3) \sqrt [4]{-x+x^4}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(-1+3 x+x^2) \sqrt {x+x^4}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{-1+x^2}{x^2 (1+x^2) \sqrt [4]{x^2+x^4}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{-1+2 x}{\sqrt {-8 x+9 x^2-2 x^3+x^4}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{-a+2 x}{(-1+b-a x+x^2) \sqrt [4]{b-a x+x^2}} \, dx\) [393]
\(\int \genfrac {}{}{}{}{(-4+x^3) (-1+x^3)^{2/3}}{x^{12}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(-1-3 x+x^2) \sqrt {1+x^3}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(3-x+2 x^2) \sqrt {1+x^3}} \, dx\) [396]
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(2-4 x+3 x^2) \sqrt {1+x^3}} \, dx\) [397]
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt [3]{1+x^3}}{x^{11}} \, dx\) [398]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (1+x^3)}{x^{11}} \, dx\) [399]
\(\int \genfrac {}{}{}{}{-1-2 x+x^2+3 x^3}{\sqrt [4]{-1+3 x-3 x^2+x^3}} \, dx\) [400]
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