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3.4
Integrals 301 to 400
3.4.1
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {b+a x^3}} \, dx\) [301]
3.4.2
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{-x^2+x^4}} \, dx\) [302]
3.4.3
\(\int \genfrac {}{}{}{}{1}{x \sqrt {b+a x^4}} \, dx\) [303]
3.4.4
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt [3]{-x^2+x^6}} \, dx\) [304]
3.4.5
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3}}{x} \, dx\) [305]
3.4.6
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt [3]{1+x^3}}{x^8} \, dx\) [306]
3.4.7
\(\int \genfrac {}{}{}{}{\sqrt {1+x^3}}{x} \, dx\) [307]
3.4.8
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (1+x^3)}{x^8} \, dx\) [308]
3.4.9
\(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\) [309]
3.4.10
\(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\) [310]
3.4.11
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt [3]{x+x^3}} \, dx\) [311]
3.4.12
\(\int \genfrac {}{}{}{}{-2-x+2 x^2}{(-1+x) x \sqrt [4]{-x^2+x^3}} \, dx\) [312]
3.4.13
\(\int \genfrac {}{}{}{}{2+x}{(-1+x) \sqrt {-x-x^2+x^3}} \, dx\) [313]
3.4.14
\(\int \genfrac {}{}{}{}{(3+x^2) (1+x^2+x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\) [314]
3.4.15
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^{11}} \, dx\) [315]
3.4.16
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^8} \, dx\) [316]
3.4.17
\(\int \genfrac {}{}{}{}{(3+x^2) (-1-x^2+2 x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\) [317]
3.4.18
\(\int \genfrac {}{}{}{}{2 b+a x^3}{\sqrt {-b+a x^3} (-b+x^2+a x^3)} \, dx\) [318]
3.4.19
\(\int \genfrac {}{}{}{}{(-4+x^4) (-1+x^4)^{3/4}}{x^{12}} \, dx\) [319]
3.4.20
\(\int \genfrac {}{}{}{}{\sqrt {1+x^4}}{x} \, dx\) [320]
3.4.21
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x+x^4}}{x^8} \, dx\) [321]
3.4.22
\(\int \genfrac {}{}{}{}{\sqrt [4]{x+x^4}}{x^8} \, dx\) [322]
3.4.23
\(\int \genfrac {}{}{}{}{2+x^2}{(-1+x^2) \sqrt {-1-x^2+x^4}} \, dx\) [323]
3.4.24
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+x^4)}{x^6 (1+x^3)^{3/4}} \, dx\) [324]
3.4.25
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+x^4)}{x^8 \sqrt [4]{1+x^3}} \, dx\) [325]
3.4.26
\(\int \genfrac {}{}{}{}{(-4+x^3) (1-x^3+x^4)}{x^8 \sqrt [4]{-1+x^3}} \, dx\) [326]
3.4.27
\(\int \genfrac {}{}{}{}{x}{\sqrt {x^3+x^4}} \, dx\) [327]
3.4.28
\(\int \genfrac {}{}{}{}{1}{x (1+x) \sqrt [4]{x^3+x^4}} \, dx\) [328]
3.4.29
\(\int \genfrac {}{}{}{}{(4+x^3) (-1-x^3+2 x^4)}{x^6 (1+x^3)^{3/4}} \, dx\) [329]
3.4.30
\(\int \genfrac {}{}{}{}{(-3+x^4) (1-x^3+x^4)}{x^6 \sqrt [4]{x+x^5}} \, dx\) [330]
3.4.31
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x} \, dx\) [331]
3.4.32
\(\int \genfrac {}{}{}{}{-1+x^6}{x \sqrt {1+x^6}} \, dx\) [332]
3.4.33
\(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x} \, dx\) [333]
3.4.34
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (1+x^6)}{x^{15}} \, dx\) [334]
3.4.35
\(\int \genfrac {}{}{}{}{(1-x^3+x^5) (-3+2 x^5)}{x^6 \sqrt [4]{x+x^6}} \, dx\) [335]
3.4.36
\(\int \genfrac {}{}{}{}{(-2+x^6) (1-x^4+x^6)}{x^8 \sqrt [4]{1+x^6}} \, dx\) [336]
3.4.37
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^{15}} \, dx\) [337]
3.4.38
\(\int \genfrac {}{}{}{}{x^2 (-2+x^3) \sqrt {1+x^3}}{1+3 x^3+x^9} \, dx\) [338]
3.4.39
\(\int \genfrac {}{}{}{}{x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (a-a x^5+x^9)} \, dx\) [339]
3.4.40
\(\int \genfrac {}{}{}{}{x^4 (-9+5 x^4)}{\sqrt {-x+x^5} (1-x^4+a x^9)} \, dx\) [340]
3.4.41
\(\int \genfrac {}{}{}{}{x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (1-x^5+a x^9)} \, dx\) [341]
3.4.42
\(\int \genfrac {}{}{}{}{1+x^{12}}{x^{16} \sqrt {-1+x^6}} \, dx\) [342]
3.4.43
\(\int \genfrac {}{}{}{}{-1+x}{(-3+x) (1+x) \sqrt [4]{-2-2 x+x^2}} \, dx\) [343]
3.4.44
\(\int \genfrac {}{}{}{}{1}{(-1+x) \sqrt [4]{2-2 x+x^2}} \, dx\) [344]
3.4.45
\(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt [4]{2+2 x+x^2}} \, dx\) [345]
3.4.46
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{1+x^3}} \, dx\) [346]
3.4.47
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-b+a x^3}} \, dx\) [347]
3.4.48
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {-b+a x^3}} \, dx\) [348]
3.4.49
\(\int \genfrac {}{}{}{}{1+x}{(-1+x) \sqrt {1-x^2+x^4}} \, dx\) [349]
3.4.50
\(\int \genfrac {}{}{}{}{(-1+x^4) (1+x^4)}{(1+x^2+x^4)^{5/2}} \, dx\) [350]
3.4.51
\(\int \genfrac {}{}{}{}{x^2 (-4+x^3)}{(-1+x^3)^{3/4} (1-x^3+x^4)} \, dx\) [351]
3.4.52
\(\int \genfrac {}{}{}{}{1+2 x}{\sqrt {-4-4 x-3 x^2+2 x^3+x^4}} \, dx\) [352]
3.4.53
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-b+a x^4}} \, dx\) [353]
3.4.54
\(\int \genfrac {}{}{}{}{-1+2 x^6}{(1+x^6) \sqrt {1-2 x^2+x^6}} \, dx\) [354]
3.4.55
\(\int \genfrac {}{}{}{}{1+2 x^6}{(-1+x^6) \sqrt {-1-2 x^2+x^6}} \, dx\) [355]
3.4.56
\(\int x^8 \sqrt [3]{-1+x^3} \, dx\) [356]
3.4.57
\(\int x^8 \sqrt [4]{1+x^3} \, dx\) [357]
3.4.58
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt [3]{-x+x^3}} \, dx\) [358]
3.4.59
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{-x^2+x^3}} \, dx\) [359]
3.4.60
\(\int \genfrac {}{}{}{}{(-3+x^2) (1-x^2+x^3)}{x^6 \sqrt [4]{-x+x^3}} \, dx\) [360]
3.4.61
\(\int \genfrac {}{}{}{}{1+x^2}{(-1+x^2) \sqrt {-x-x^2+x^3}} \, dx\) [361]
3.4.62
\(\int \genfrac {}{}{}{}{-1+x^3}{x^3 (1+x^3) \sqrt [4]{x+x^4}} \, dx\) [362]
3.4.63
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^2+x^4}}{x^6} \, dx\) [363]
3.4.64
\(\int \genfrac {}{}{}{}{-1+2 x}{\sqrt {1+x-2 x^3+x^4}} \, dx\) [364]
3.4.65
\(\int \genfrac {}{}{}{}{1+x}{(-1+x) x \sqrt [4]{-x^3+x^4}} \, dx\) [365]
3.4.66
\(\int \genfrac {}{}{}{}{(3+x^4) (-1-x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [366]
3.4.67
\(\int \genfrac {}{}{}{}{(3+x^4) (-1+x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [367]
3.4.68
\(\int \genfrac {}{}{}{}{-1+3 x^4}{(1-a x+x^4) \sqrt {x+x^5}} \, dx\) [368]
3.4.69
\(\int \genfrac {}{}{}{}{-1+3 x^4}{(a-x+a x^4) \sqrt {x+x^5}} \, dx\) [369]
3.4.70
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6} (2+x^6)}{x^3 (-1-x^4+x^6)} \, dx\) [370]
3.4.71
\(\int \genfrac {}{}{}{}{\sqrt {1-x^6} (1+2 x^6)}{x^2 (-1-x^2+x^6)} \, dx\) [371]
3.4.72
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {-1+x^3}} \, dx\) [372]
3.4.73
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(3-x+x^2) \sqrt {-1+x^3}} \, dx\) [373]
3.4.74
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(-1+3 x+x^2) \sqrt {-1+x^3}} \, dx\) [374]
3.4.75
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3}}{x^4} \, dx\) [375]
3.4.76
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1+x^3}} \, dx\) [376]
3.4.77
\(\int \genfrac {}{}{}{}{1+x}{(-2+x) \sqrt {1+x^3}} \, dx\) [377]
3.4.78
\(\int \genfrac {}{}{}{}{\sqrt {1+x^3}}{x^4} \, dx\) [378]
3.4.79
\(\int \genfrac {}{}{}{}{1+x}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [379]
3.4.80
\(\int \genfrac {}{}{}{}{-1+x}{\sqrt {-5+4 x^2-4 x^3+x^4}} \, dx\) [380]
3.4.81
\(\int \genfrac {}{}{}{}{2+x}{\sqrt {13+16 x^2+8 x^3+x^4}} \, dx\) [381]
3.4.82
\(\int \genfrac {}{}{}{}{x}{\sqrt {b+a x^4}} \, dx\) [382]
3.4.83
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt {-1+x^6}} \, dx\) [383]
3.4.84
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x^7} \, dx\) [384]
3.4.85
\(\int \genfrac {}{}{}{}{-1+x^6}{x^7 \sqrt {1+x^6}} \, dx\) [385]
3.4.86
\(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x^7} \, dx\) [386]
3.4.87
\(\int \genfrac {}{}{}{}{(2+x^6) (1-2 x^6+x^8+x^{12})}{x^{10} (-1+x^6)^{3/4}} \, dx\) [387]
3.4.88
\(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(1-x+3 x^2) \sqrt {-x+x^4}} \, dx\) [388]
3.4.89
\(\int \genfrac {}{}{}{}{1+x^3}{x^3 (-1+x^3) \sqrt [4]{-x+x^4}} \, dx\) [389]
3.4.90
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(-1+3 x+x^2) \sqrt {x+x^4}} \, dx\) [390]
3.4.91
\(\int \genfrac {}{}{}{}{-1+x^2}{x^2 (1+x^2) \sqrt [4]{x^2+x^4}} \, dx\) [391]
3.4.92
\(\int \genfrac {}{}{}{}{-1+2 x}{\sqrt {-8 x+9 x^2-2 x^3+x^4}} \, dx\) [392]
3.4.93
\(\int \genfrac {}{}{}{}{-a+2 x}{(-1+b-a x+x^2) \sqrt [4]{b-a x+x^2}} \, dx\) [393]
3.4.94
\(\int \genfrac {}{}{}{}{(-4+x^3) (-1+x^3)^{2/3}}{x^{12}} \, dx\) [394]
3.4.95
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(-1-3 x+x^2) \sqrt {1+x^3}} \, dx\) [395]
3.4.96
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(3-x+2 x^2) \sqrt {1+x^3}} \, dx\) [396]
3.4.97
\(\int \genfrac {}{}{}{}{-2+2 x+x^2}{(2-4 x+3 x^2) \sqrt {1+x^3}} \, dx\) [397]
3.4.98
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt [3]{1+x^3}}{x^{11}} \, dx\) [398]
3.4.99
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (1+x^3)}{x^{11}} \, dx\) [399]
3.4.100
\(\int \genfrac {}{}{}{}{-1-2 x+x^2+3 x^3}{\sqrt [4]{-1+3 x-3 x^2+x^3}} \, dx\) [400]
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