3.2 Integrals 101 to 180

\(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2 \, dx\) [101]
\(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2) \, dx\) [102]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{2+3 x+5 x^2} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\) [104]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\) [105]
\(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^4 \, dx\) [106]
\(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3 \, dx\) [107]
\(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2 \, dx\) [108]
\(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2) \, dx\) [109]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{2+3 x+5 x^2} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\) [111]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\) [112]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{\sqrt {3-x+2 x^2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{\sqrt {3-x+2 x^2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{\sqrt {3-x+2 x^2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{\sqrt {3-x+2 x^2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)} \, dx\) [117]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^2} \, dx\) [118]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^3} \, dx\) [119]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{3/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{3/2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{3/2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^{3/2}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)} \, dx\) [124]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^3} \, dx\) [126]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{5/2}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{5/2}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{5/2}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^{5/2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3} \, dx\) [133]
\(\int (4+x-2 x^2)^3 \sqrt {2+3 x+5 x^2} \, dx\) [134]
\(\int \sqrt {a+b x+c x^2} (d+e x+f x^2)^2 \, dx\) [135]
\(\int \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\) [136]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x+f x^2)^2} \, dx\) [138]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x+5 x^2}}{(4+x-2 x^2)^3} \, dx\) [139]
\(\int (a+b x+c x^2)^{3/2} (d+e x+f x^2)^2 \, dx\) [140]
\(\int (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\) [141]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{d+e x+f x^2} \, dx\) [142]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x+f x^2)^2} \, dx\) [143]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x+f x^2)^3} \, dx\) [144]
\(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^{3/2}}{(4+x-2 x^2)^4} \, dx\) [145]
\(\int \genfrac {}{}{}{}{\sqrt {-3-4 x-x^2}}{3+4 x+2 x^2} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^3}{\sqrt {a+b x+c x^2}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^2}{\sqrt {a+b x+c x^2}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{d+e x+f x^2}{\sqrt {a+b x+c x^2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\) [150]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+e x+f x^2)^2} \, dx\) [151]
\(\int \genfrac {}{}{}{}{1}{(4+x-2 x^2)^3 \sqrt {2+3 x+5 x^2}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^3}{(a+b x+c x^2)^{3/2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^2}{(a+b x+c x^2)^{3/2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{d+e x+f x^2}{(a+b x+c x^2)^{3/2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\) [156]
\(\int \genfrac {}{}{}{}{1}{(4+x-2 x^2)^2 (2+3 x+5 x^2)^{3/2}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{(4+x-2 x^2)^3}{(2+3 x+5 x^2)^{5/2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^2}{(a+b x+c x^2)^{5/2}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{d+e x+f x^2}{(a+b x+c x^2)^{5/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{1}{(4+x-2 x^2) (2+3 x+5 x^2)^{5/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1}{(4+x-2 x^2)^2 (2+3 x+5 x^2)^{5/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-7+2 x+5 x^2} (8+12 x+5 x^2)} \, dx\) [163]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} \sqrt {d+e x+f x^2}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} \sqrt {2+3 x+5 x^2}} \, dx\) [165]
\(\int (a+b x+c x^2)^3 (d+e x+f x^2)^q \, dx\) [166]
\(\int (a+b x+c x^2)^2 (d+e x+f x^2)^q \, dx\) [167]
\(\int (a+b x+c x^2) (d+e x+f x^2)^q \, dx\) [168]
\(\int (d+e x+f x^2)^q \, dx\) [169]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^q}{a+b x+c x^2} \, dx\) [170]
\(\int \genfrac {}{}{}{}{(d+e x+f x^2)^q}{(a+b x+c x^2)^2} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{d+e x+f x^2} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{d+f x^2} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{e x+f x^2} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(b x+c x^2)^p}{d+e x+f x^2} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(b x+c x^2)^p}{d+f x^2} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(b x+c x^2)^p}{e x+f x^2} \, dx\) [177]
\(\int \genfrac {}{}{}{}{(a+c x^2)^p}{d+e x+f x^2} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(a+c x^2)^p}{e x+f x^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(a+c x^2)^p}{d+f x^2} \, dx\) [180]