3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{(3-2 \sqrt {2}+x^2)^2 (-3+2 \sqrt {2}+x^2)}{577-408 \sqrt {2}+(328-232 \sqrt {2}) x^2+(78-56 \sqrt {2}) x^4+(8-8 \sqrt {2}) x^6+x^8} \, dx\) [101]
\(\int (a+b \sqrt {x})^3 (d+e x) \, dx\) [102]
\(\int (a+b \sqrt {x})^2 (d+e x) \, dx\) [103]
\(\int (a+b \sqrt {x}) (d+e x) \, dx\) [104]
\(\int (a+b \sqrt {x}+c x)^3 (d+e x) \, dx\) [105]
\(\int (a+b \sqrt {x}+c x)^2 (d+e x) \, dx\) [106]
\(\int (a+b \sqrt {x}+c x) (d+e x) \, dx\) [107]
\(\int (a+b \sqrt {x})^3 (d+e \sqrt {x}+f x) \, dx\) [108]
\(\int (a+b \sqrt {x})^2 (d+e \sqrt {x}+f x) \, dx\) [109]
\(\int (a+b \sqrt {x}) (d+e \sqrt {x}+f x) \, dx\) [110]
\(\int (a+b \sqrt {x}+c x)^3 (d+e \sqrt {x}+f x) \, dx\) [111]
\(\int (a+b \sqrt {x}+c x)^2 (d+e \sqrt {x}+f x) \, dx\) [112]
\(\int (a+b \sqrt {x}+c x) (d+e \sqrt {x}+f x) \, dx\) [113]
\(\int (a+b x)^4 (c+d x)^3 \, dx\) [114]
\(\int (a+b x)^4 (c^3+3 c^2 d x+3 c d^2 x^2+d^3 x^3) \, dx\) [115]
\(\int (c+d x)^3 (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [116]
\(\int (c^3+3 c^2 d x+3 c d^2 x^2+d^3 x^3) (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [117]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {1+x^3}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {1-x^3}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {-1+x^3}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {-1-x^3}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{c^3-d^3 x^3}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{-c^3+d^3 x^3}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{b c^3-b d^3 x^3}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt [3]{1-x^3}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{2 c^3+d^3 x^3}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (2 c^3+d^3 x^3)^{2/3}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt [3]{2} x) (1+x^3)^{2/3}} \, dx\) [141]
\(\int \genfrac {}{}{}{}{1}{(1-\sqrt [3]{2} x) (1-x^3)^{2/3}} \, dx\) [142]
\(\int (c+d x)^4 \sqrt [3]{a+b x^3} \, dx\) [143]
\(\int (c+d x)^3 \sqrt [3]{a+b x^3} \, dx\) [144]
\(\int (c+d x)^2 \sqrt [3]{a+b x^3} \, dx\) [145]
\(\int (c+d x) \sqrt [3]{a+b x^3} \, dx\) [146]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^3}}{c+d x} \, dx\) [147]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^3}}{(c+d x)^2} \, dx\) [148]
\(\int \genfrac {}{}{}{}{(c+d x)^4}{\sqrt [3]{a+b x^3}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{\sqrt [3]{a+b x^3}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{\sqrt [3]{a+b x^3}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{c+d x}{\sqrt [3]{a+b x^3}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{a+b x^3}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 \sqrt [3]{a+b x^3}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(c+d x)^4}{(a+b x^3)^{2/3}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b x^3)^{2/3}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b x^3)^{2/3}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{c+d x}{(a+b x^3)^{2/3}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b x^3)^{2/3}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b x^3)^{2/3}} \, dx\) [160]
\(\int (d+e x)^3 (a+c x^4) \, dx\) [161]
\(\int (d+e x)^2 (a+c x^4) \, dx\) [162]
\(\int (d+e x) (a+c x^4) \, dx\) [163]
\(\int (a+c x^4) \, dx\) [164]
\(\int \genfrac {}{}{}{}{a+c x^4}{d+e x} \, dx\) [165]
\(\int \genfrac {}{}{}{}{a+c x^4}{(d+e x)^2} \, dx\) [166]
\(\int (d+e x)^3 (a+c x^4)^2 \, dx\) [167]
\(\int (d+e x)^2 (a+c x^4)^2 \, dx\) [168]
\(\int (d+e x) (a+c x^4)^2 \, dx\) [169]
\(\int (a+c x^4)^2 \, dx\) [170]
\(\int \genfrac {}{}{}{}{(a+c x^4)^2}{d+e x} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(a+c x^4)^2}{(d+e x)^2} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{a+c x^4} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{a+c x^4} \, dx\) [174]
\(\int \genfrac {}{}{}{}{d+e x}{a+c x^4} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{a+c x^4} \, dx\) [176]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)} \, dx\) [177]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+c x^4)^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+c x^4)^2} \, dx\) [180]
\(\int \genfrac {}{}{}{}{d+e x}{(a+c x^4)^2} \, dx\) [181]
\(\int \genfrac {}{}{}{}{1}{(a+c x^4)^2} \, dx\) [182]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)^2} \, dx\) [183]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)^2} \, dx\) [184]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+c x^4)^3} \, dx\) [185]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+c x^4)^3} \, dx\) [186]
\(\int \genfrac {}{}{}{}{d+e x}{(a+c x^4)^3} \, dx\) [187]
\(\int \genfrac {}{}{}{}{1}{(a+c x^4)^3} \, dx\) [188]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)^3} \, dx\) [189]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)^3} \, dx\) [190]
\(\int (d+e x)^3 \sqrt {a+c x^4} \, dx\) [191]
\(\int (d+e x)^2 \sqrt {a+c x^4} \, dx\) [192]
\(\int (d+e x) \sqrt {a+c x^4} \, dx\) [193]
\(\int \sqrt {a+c x^4} \, dx\) [194]
\(\int \genfrac {}{}{}{}{\sqrt {a+c x^4}}{d+e x} \, dx\) [195]
\(\int \genfrac {}{}{}{}{\sqrt {a+c x^4}}{(d+e x)^2} \, dx\) [196]
\(\int \genfrac {}{}{}{}{\sqrt {a+c x^4}}{(d+e x)^3} \, dx\) [197]
\(\int (d+e x)^3 (a+c x^4)^{3/2} \, dx\) [198]
\(\int (d+e x)^2 (a+c x^4)^{3/2} \, dx\) [199]
\(\int (d+e x) (a+c x^4)^{3/2} \, dx\) [200]