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3.3
Integrals 201 to 300
3.3.1
\(\int \frac {\sqrt [4]{-1+x^4-x^5} (-4+x^5)}{x^6} \, dx\)
3.3.2
\(\int \frac {(1+x^8) \sqrt {-1-2 x^4+x^8}}{x^7} \, dx\)
3.3.3
\(\int \frac {x^2 (-2+x^3) \sqrt {1+x^3}}{4+12 x^3+13 x^6+4 x^9} \, dx\)
3.3.4
\(\int \frac {1}{(-1+x^2) \sqrt [3]{-x+x^3}} \, dx\)
3.3.5
\(\int \frac {1}{(-1+x^3) \sqrt [4]{-x+x^4}} \, dx\)
3.3.6
\(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{\sqrt {b^2+a x^2}} \, dx\)
3.3.7
\(\int \frac {1}{x \sqrt [4]{1+x^2}} \, dx\)
3.3.8
\(\int \frac {-5+2 x}{\sqrt [4]{4-4 x+x^2}} \, dx\)
3.3.9
\(\int x^5 \sqrt [3]{1+x^3} \, dx\)
3.3.10
\(\int \frac {(1+3 x^2) \sqrt [3]{-x+x^3}}{x^2} \, dx\)
3.3.11
\(\int \frac {1}{(-1+x) \sqrt [3]{-x^2+x^3}} \, dx\)
3.3.12
\(\int \frac {1}{x^2 \sqrt [3]{x^2+x^3}} \, dx\)
3.3.13
\(\int \frac {(3+2 x^2) \sqrt {x+2 x^3}}{(1+2 x^2)^2} \, dx\)
3.3.14
\(\int \frac {1}{x^6 (-1+x^4)^{3/4}} \, dx\)
3.3.15
\(\int \frac {1}{x^4 (1+x^4)^{5/4}} \, dx\)
3.3.16
\(\int \frac {1}{x^6 (1+x^4)^{3/4}} \, dx\)
3.3.17
\(\int \frac {-1+x^4}{x^6 (1+x^4)^{3/4}} \, dx\)
3.3.18
\(\int \frac {1+x^2}{(1-x^2) \sqrt {1+x^4}} \, dx\)
3.3.19
\(\int \frac {-1+2 x+2 x^2}{(1+2 x) \sqrt {-x+x^4}} \, dx\)
3.3.20
\(\int \frac {1}{x^5 \sqrt {x+x^4}} \, dx\)
3.3.21
\(\int \frac {-1+x^3}{x^6 \sqrt [4]{x+x^4}} \, dx\)
3.3.22
\(\int \frac {1+2 x^3}{x^6 \sqrt [4]{x+x^4}} \, dx\)
3.3.23
\(\int \frac {-1+x^2}{(1+x^2) \sqrt [3]{x^2+x^4}} \, dx\)
3.3.24
\(\int \frac {1}{(1+x^2) \sqrt [4]{x^2+x^4}} \, dx\)
3.3.25
\(\int \frac {1}{(-1+x) \sqrt [4]{-x^3+x^4}} \, dx\)
3.3.26
\(\int \frac {1}{x \sqrt {x^3+x^4}} \, dx\)
3.3.27
\(\int \frac {1}{x^2 \sqrt [4]{x^3+x^4}} \, dx\)
3.3.28
\(\int \frac {1+2 x}{\sqrt {3+x^2+2 x^3+x^4}} \, dx\)
3.3.29
\(\int \frac {-1+2 x^4}{x^8 \sqrt [4]{-1+x^4}} \, dx\)
3.3.30
\(\int \frac {1+2 x^4}{x^4 (1+x^4)^{5/4}} \, dx\)
3.3.31
\(\int \frac {(1+4 x^3) (1+2 x+2 x^4)}{\sqrt {x+x^4}} \, dx\)
3.3.32
\(\int \frac {-1+x^2}{(1+x^2) \sqrt [4]{x^3+x^5}} \, dx\)
3.3.33
\(\int \frac {1}{x^{10} \sqrt {-1+x^6}} \, dx\)
3.3.34
\(\int \frac {1+x^6}{x^{10} \sqrt {-1+x^6}} \, dx\)
3.3.35
\(\int \frac {-1+3 x^4}{(1+x^4) \sqrt [3]{x^2+x^6}} \, dx\)
3.3.36
\(\int \frac {-1+x^4}{(1+x^4) \sqrt [4]{x^2+x^6}} \, dx\)
3.3.37
\(\int \frac {x^2 (3+2 x^2) (1+x^2+2 x^6)}{(1+x^2)^2 \sqrt {1+x^2+x^6}} \, dx\)
3.3.38
\(\int \frac {1}{\sqrt {3-5 x+x^2+x^3}} \, dx\)
3.3.39
\(\int \frac {-1+x}{(1+x) \sqrt {x+x^2+x^3}} \, dx\)
3.3.40
\(\int \frac {-1+x^2}{(1+x^2) \sqrt {x+x^2+x^3}} \, dx\)
3.3.41
\(\int \frac {-1+x^2}{(1+x^2) \sqrt {1+x^4}} \, dx\)
3.3.42
\(\int \frac {1+x^2}{(-1+x^2) \sqrt {1+x^4}} \, dx\)
3.3.43
\(\int \frac {2-3 x^5}{\sqrt {1+x^5} (1-a x^2+x^5)} \, dx\)
3.3.44
\(\int \frac {2+3 x^5}{\sqrt {-1+x^5} (-1-a x^2+x^5)} \, dx\)
3.3.45
\(\int \frac {2+3 x^5}{\sqrt {-1+x^5} (-a-x^2+a x^5)} \, dx\)
3.3.46
\(\int \frac {-2+3 x^5}{\sqrt {1+x^5} (a-x^2+a x^5)} \, dx\)
3.3.47
\(\int \frac {-1-2 x^2+2 x^4}{(1-x^2+x^4) \sqrt {1+x^6}} \, dx\)
3.3.48
\(\int \frac {-1+4 x^5}{(1-a x+x^5) \sqrt {x+x^6}} \, dx\)
3.3.49
\(\int \frac {-1+4 x^5}{(a-x+a x^5) \sqrt {x+x^6}} \, dx\)
3.3.50
\(\int x^3 (-1+x^2)^{2/3} \, dx\)
3.3.51
\(\int x^3 (-1+x^2)^{3/4} \, dx\)
3.3.52
\(\int \frac {1}{x (1+x^2)^{3/4}} \, dx\)
3.3.53
\(\int x^3 (1+x^2)^{3/4} \, dx\)
3.3.54
\(\int x^5 \sqrt [3]{-1+x^3} \, dx\)
3.3.55
\(\int x^5 (-1+x^3)^{3/4} \, dx\)
3.3.56
\(\int \frac {x^8}{\sqrt [4]{1+x^3}} \, dx\)
3.3.57
\(\int x^5 (1+x^3)^{2/3} \, dx\)
3.3.58
\(\int \frac {1}{x^2 \sqrt [3]{-x^2+x^3}} \, dx\)
3.3.59
\(\int x^7 (1+x^4)^{2/3} \, dx\)
3.3.60
\(\int \frac {1}{x^5 \sqrt {-x+x^4}} \, dx\)
3.3.61
\(\int \frac {1+x^3}{x^6 \sqrt [4]{-x+x^4}} \, dx\)
3.3.62
\(\int \frac {1+x^2}{(-1+x^2) \sqrt [3]{-x^2+x^4}} \, dx\)
3.3.63
\(\int \frac {1}{(-1+x^2) \sqrt [4]{-x^2+x^4}} \, dx\)
3.3.64
\(\int \frac {1}{x^4 \sqrt [4]{x^2+x^4}} \, dx\)
3.3.65
\(\int \frac {-1+2 x}{\sqrt {-3+x^2-2 x^3+x^4}} \, dx\)
3.3.66
\(\int \frac {-1+2 x}{\sqrt {4+x^2-2 x^3+x^4}} \, dx\)
3.3.67
\(\int \frac {-1+2 x}{\sqrt {13+x^2-2 x^3+x^4}} \, dx\)
3.3.68
\(\int \frac {1}{x^2 \sqrt [4]{-x^3+x^4}} \, dx\)
3.3.69
\(\int \frac {-1+x^4}{x^8 \sqrt [4]{-1+2 x^4}} \, dx\)
3.3.70
\(\int \frac {1+x^2}{(-1+x^2) \sqrt [4]{-x^3+x^5}} \, dx\)
3.3.71
\(\int \frac {1+3 x^4}{(-1+x^4) \sqrt [3]{-x^2+x^6}} \, dx\)
3.3.72
\(\int \frac {1+x^4}{(-1+x^4) \sqrt [4]{-x^2+x^6}} \, dx\)
3.3.73
\(\int \frac {1}{x^7 \sqrt [3]{x^2+x^6}} \, dx\)
3.3.74
\(\int \frac {\sqrt [3]{-1+x^3}}{x^8} \, dx\)
3.3.75
\(\int \frac {b+a x^2}{(-b+a x^2) \sqrt {-b x+a x^3}} \, dx\)
3.3.76
\(\int \frac {-2 b+a x^3}{\sqrt {b+a x^3} (b-c x^2+a x^3)} \, dx\)
3.3.77
\(\int \frac {-2 b+a x^3}{\sqrt {b+a x^3} (b+c x^2+a x^3)} \, dx\)
3.3.78
\(\int \frac {1+x^2}{(-1+x^2) (2+x^2) \sqrt {-3+x^4}} \, dx\)
3.3.79
\(\int \frac {(-4+x^4) (1+x^4)^{3/4}}{x^{12}} \, dx\)
3.3.80
\(\int \frac {\sqrt {-1+x^4} (1+x^4)}{x^2 (-1+x^2+x^4)} \, dx\)
3.3.81
\(\int \frac {(-1+x^4) (1+x^2+x^4)}{x^4 \sqrt {1+x^4}} \, dx\)
3.3.82
\(\int \frac {(-4+x^3) (-1+x^3+x^4)}{x^6 (-1+x^3)^{3/4}} \, dx\)
3.3.83
\(\int \frac {1+3 x^4}{(-1-a x+x^4) \sqrt {-x+x^5}} \, dx\)
3.3.84
\(\int \frac {1+3 x^4}{(-a-x+a x^4) \sqrt {-x+x^5}} \, dx\)
3.3.85
\(\int \frac {(4+x^5) (-1+x^4+x^5)}{x^6 (-1+x^5)^{3/4}} \, dx\)
3.3.86
\(\int \frac {(-4+x^5) (1+x^4+x^5)}{x^6 (1+x^5)^{3/4}} \, dx\)
3.3.87
\(\int \frac {\sqrt {-1+x^6}}{x^{16}} \, dx\)
3.3.88
\(\int \frac {-1-2 x^2+2 x^4}{(1+2 x^4) \sqrt {1+x^6}} \, dx\)
3.3.89
\(\int \frac {1+4 x^5}{(-1-a x+x^5) \sqrt {-x+x^6}} \, dx\)
3.3.90
\(\int \frac {1+4 x^5}{(-a-x+a x^5) \sqrt {-x+x^6}} \, dx\)
3.3.91
\(\int \frac {(2+x^6) (-1-x^4+x^6)}{x^6 (-1+x^6)^{3/4}} \, dx\)
3.3.92
\(\int \frac {(-2+x^6) (1-x^4+x^6)}{x^6 (1+x^6)^{3/4}} \, dx\)
3.3.93
\(\int \frac {\sqrt {-1+x^6} (1+2 x^6)}{x^2 (-1+x^2+x^6)} \, dx\)
3.3.94
\(\int \frac {(-1+x^3-x^5-2 x^7)^{2/3} (1-x^3+x^5+2 x^7) (-3+2 x^5+8 x^7)}{x^9} \, dx\)
3.3.95
\(\int \frac {x^4 (9+4 x^5)}{\sqrt {x+x^6} (-a-a x^5+x^9)} \, dx\)
3.3.96
\(\int \frac {x^4 (9+5 x^4)}{\sqrt {x+x^5} (-1-x^4+a x^9)} \, dx\)
3.3.97
\(\int \frac {x^4 (9+4 x^5)}{\sqrt {x+x^6} (-1-x^5+a x^9)} \, dx\)
3.3.98
\(\int x^5 \sqrt {1-2 x^3} \, dx\)
3.3.99
\(\int \frac {2+x}{(-1+x) \sqrt {-1+3 x+x^3}} \, dx\)
3.3.100
\(\int \frac {-1+2 x}{(1+x) \sqrt {-x-x^2+x^3}} \, dx\)
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