3.2 Integrals 101 to 170

\(\int \genfrac {}{}{}{}{1}{b+2 a x-b x^2} \, dx\) [101]
\(\int \genfrac {}{}{}{}{1}{(2+4 x+3 x^2)^2} \, dx\) [102]
\(\int \genfrac {}{}{}{}{1}{(a+c x+b x^2)^2} \, dx\) [103]
\(\int \genfrac {}{}{}{}{1}{(b+2 a x+b x^2)^2} \, dx\) [104]
\(\int \genfrac {}{}{}{}{1}{(b+2 a x-b x^2)^2} \, dx\) [105]
\(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{a}{b})^{2/n}+x^2-2 (\genfrac {}{}{}{}{a}{b})^{\genfrac {}{}{}{}{1}{n}} x \cos (\genfrac {}{}{}{}{\pi -2 k \pi }{n})} \, dx\) [106]
\(\int \genfrac {}{}{}{}{1}{1+x^2+2 x \cos (\genfrac {}{}{}{}{1}{7})} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1}{1+x^2+2 x \cos (\genfrac {}{}{}{}{\pi }{7})} \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{b x+c (d+e x)^2} \, dx\) [109]
\(\int \genfrac {}{}{}{}{1}{a+b x+c (d+e x)^2} \, dx\) [110]
\(\int \sqrt {5-6 x+9 x^2} \, dx\) [111]
\(\int \sqrt {3-4 x-4 x^2} \, dx\) [112]
\(\int \sqrt {-8+6 x+9 x^2} \, dx\) [113]
\(\int \sqrt {2+4 x+3 x^2} \, dx\) [114]
\(\int \sqrt {2+4 x-3 x^2} \, dx\) [115]
\(\int \sqrt {2+5 x+3 x^2} \, dx\) [116]
\(\int \sqrt {2+5 x-3 x^2} \, dx\) [117]
\(\int \sqrt {-2+4 x+3 x^2} \, dx\) [118]
\(\int \sqrt {-2+4 x-3 x^2} \, dx\) [119]
\(\int \sqrt {-2+5 x+3 x^2} \, dx\) [120]
\(\int \sqrt {-2+5 x-3 x^2} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1}{\sqrt {5-6 x+9 x^2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-4 x-4 x^2}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-8+6 x+9 x^2}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+4 x+3 x^2}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+4 x-3 x^2}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+5 x+3 x^2}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+5 x-3 x^2}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+4 x+3 x^2}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+4 x-3 x^2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+5 x+3 x^2}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+5 x-3 x^2}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{b^2+4 c}{4 c}+b x+c x^2}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-b^2+4 c}{4 c}+b x-c x^2}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-b^2+c}{4 c}+b x-c x^2}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{1}{(2+3 x+x^2)^{3/2}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{(27-24 x+4 x^2)^{3/2}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{1}{(5-4 x-x^2)^{5/2}} \, dx\) [138]
\(\int (3+4 x+2 x^2)^{4/3} \, dx\) [139]
\(\int (3+4 x+2 x^2)^{2/3} \, dx\) [140]
\(\int \sqrt [3]{3+4 x+2 x^2} \, dx\) [141]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{3+4 x+2 x^2}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{1}{(3+4 x+2 x^2)^{2/3}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{1}{(3+4 x+2 x^2)^{4/3}} \, dx\) [144]
\(\int (a+b x+c x^2)^{4/3} \, dx\) [145]
\(\int (a+b x+c x^2)^{2/3} \, dx\) [146]
\(\int \sqrt [3]{a+b x+c x^2} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x+c x^2}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{2/3}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{4/3}} \, dx\) [150]
\(\int (a+b x+c x^2)^p \, dx\) [151]
\(\int (3+4 x+5 x^2)^p \, dx\) [152]
\(\int (3+4 x+4 x^2)^p \, dx\) [153]
\(\int (3+4 x+3 x^2)^p \, dx\) [154]
\(\int (3+4 x+2 x^2)^p \, dx\) [155]
\(\int (3+4 x+x^2)^p \, dx\) [156]
\(\int (3+4 x)^p \, dx\) [157]
\(\int (3+4 x-x^2)^p \, dx\) [158]
\(\int (3+4 x-2 x^2)^p \, dx\) [159]
\(\int (3+4 x-3 x^2)^p \, dx\) [160]
\(\int (3+4 x-4 x^2)^p \, dx\) [161]
\(\int (3+4 x-5 x^2)^p \, dx\) [162]
\(\int \sqrt {(b-x) (-a+x)} \, dx\) [163]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(b-x) (-a+x)}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+5 x+3 x^2}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(1+x) (2+3 x)}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-x} \sqrt [4]{3-x}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{(2-x) (3-x)}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{(2-x)^{3/4} (3-x)^{3/4}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{1}{((2-x) (3-x))^{3/4}} \, dx\) [170]