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3.2
Integrals 101 to 143
3.2.1
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x+c x^2} (d-f x^2)} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{x^4}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{x^3}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{x^2}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{x}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [105]
3.2.6
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{1}{x (a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{x^2 \sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\) [109]
3.2.10
\(\int \genfrac {}{}{}{}{x \sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\) [110]
3.2.11
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{x (d+e x+f x^2)} \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{x^2 (d+e x+f x^2)} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [116]
3.2.17
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{x^3}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{x^2}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{x}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [124]
3.2.25
\(\int \genfrac {}{}{}{}{1}{x (a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [125]
3.2.26
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [126]
3.2.27
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [127]
3.2.28
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [128]
3.2.29
\(\int \genfrac {}{}{}{}{x}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [129]
3.2.30
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [130]
3.2.31
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [131]
3.2.32
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\) [132]
3.2.33
\(\int (2+3 x)^2 (30+31 x-12 x^2)^2 \sqrt {6+17 x+12 x^2} \, dx\) [133]
3.2.34
\(\int (2+3 x) (30+31 x-12 x^2) \sqrt {6+17 x+12 x^2} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{\sqrt {6+17 x+12 x^2}}{(2+3 x) (30+31 x-12 x^2)} \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{\sqrt {6+17 x+12 x^2}}{(2+3 x)^2 (30+31 x-12 x^2)^2} \, dx\) [136]
3.2.37
\(\int \genfrac {}{}{}{}{\sqrt {6+17 x+12 x^2}}{(2+3 x)^3 (30+31 x-12 x^2)^3} \, dx\) [137]
3.2.38
\(\int (-3+2 x) (-3 x+x^2)^{2/3} \, dx\) [138]
3.2.39
\(\int ((-3+x) x)^{2/3} (-3+2 x) \, dx\) [139]
3.2.40
\(\int \genfrac {}{}{}{}{x (9-9 x+2 x^2)}{\sqrt [3]{-3 x+x^2}} \, dx\) [140]
3.2.41
\(\int \genfrac {}{}{}{}{x (9-9 x+2 x^2)}{\sqrt [3]{(-3+x) x}} \, dx\) [141]
3.2.42
\(\int \genfrac {}{}{}{}{g+h x}{\sqrt [3]{-\genfrac {}{}{}{}{c g^2}{h^2}+9 c x^2} (g^2+3 h^2 x^2)} \, dx\) [142]
3.2.43
\(\int \genfrac {}{}{}{}{g+h x}{\sqrt [3]{\genfrac {}{}{}{}{-c^2 g^2+b c g h+2 b^2 h^2}{9 c h^2}+b x+c x^2} (\genfrac {}{}{}{}{f (b^2-\genfrac {}{}{}{}{-c^2 g^2+b c g h+2 b^2 h^2}{3 h^2})}{c^2}+\genfrac {}{}{}{}{b f x}{c}+f x^2)} \, dx\) [143]
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