3.2 Integrals 101 to 200

\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p (d x)^m \, dx\) [101]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x^2 \, dx\) [102]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x \, dx\) [103]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p \, dx\) [104]
\(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2} \, dx\) [106]
\(\int (\genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2}-\genfrac {}{}{}{}{2 b^3 (1-2 p) (1-p) p (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{3 a^3 x}) \, dx\) [107]
\(\int \genfrac {}{}{}{}{x^{-1+4 n}}{b x^n+c x^{2 n}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{x^{-1+3 n}}{b x^n+c x^{2 n}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{b x^n+c x^{2 n}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{b x^n+c x^{2 n}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{b x^n+c x^{2 n}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{b x^n+c x^{2 n}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}}}{b x^n+c x^{2 n}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{b x^n+c x^{2 n}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{b x^n+c x^{2 n}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{b x^n+c x^{2 n}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{3}}}{b x^n+c x^{2 n}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{4}}}{b x^n+c x^{2 n}} \, dx\) [120]
\(\int x^{-1-n (-1+p)} (b x^n+c x^{2 n})^p \, dx\) [121]
\(\int x^{-1-n (1+2 p)} (b x^n+c x^{2 n})^p \, dx\) [122]
\(\int x^2 \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [123]
\(\int x \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [124]
\(\int \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}}{x} \, dx\) [126]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}}{x^2} \, dx\) [127]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}}{x^3} \, dx\) [128]
\(\int x^2 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [129]
\(\int x (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [130]
\(\int (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [131]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x} \, dx\) [132]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x^2} \, dx\) [133]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x^3} \, dx\) [134]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{x^2}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [141]
\(\int \genfrac {}{}{}{}{x}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{1}{x^2 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [146]
\(\int (d x)^m (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [147]
\(\int (d x)^m \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [150]
\(\int x^{-1+n} (a^2+2 a b x^n+b^2 x^{2 n})^{5/2} \, dx\) [151]
\(\int x^{-1+n} (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [152]
\(\int x^{-1+n} \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{5/2}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{7/2}} \, dx\) [157]
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{5/2} \, dx\) [158]
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [159]
\(\int x^{-1+2 n} \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{5/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{7/2}} \, dx\) [164]
\(\int x^{-1-n} (a^2+2 a b x^n+b^2 x^{2 n})^{5/2} \, dx\) [165]
\(\int x^{-1-n} (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [166]
\(\int x^{-1-n} \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [169]
\(\int x^{-1-2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{5/2} \, dx\) [170]
\(\int x^{-1-2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\) [171]
\(\int x^{-1-2 n} \sqrt {a^2+2 a b x^n+b^2 x^{2 n}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{\sqrt {a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\) [174]
\(\int (d x)^{-1-2 n (1+p)} (a^2+2 a b x^n+b^2 x^{2 n})^p \, dx\) [175]
\(\int x^{-1+n} (a^2+2 a b x^n+b^2 x^{2 n})^p \, dx\) [176]
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^p \, dx\) [177]
\(\int \genfrac {}{}{}{}{x^{-1+4 n}}{a+b x^n+c x^{2 n}} \, dx\) [178]
\(\int \genfrac {}{}{}{}{x^{-1+3 n}}{a+b x^n+c x^{2 n}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{a+b x^n+c x^{2 n}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{a+b x^n+c x^{2 n}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{a+b x^n+c x^{2 n}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{a+b x^n+c x^{2 n}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{x^{-1-3 n}}{a+b x^n+c x^{2 n}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}}}{a+b x^n+c x^{2 n}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{a+b x^n+c x^{2 n}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{a+b x^n+c x^{2 n}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n+c x^{2 n}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{3}}}{a+b x^n+c x^{2 n}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n+c x^{2 n}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{x^2}{a+b x^n+c x^{2 n}} \, dx\) [191]
\(\int \genfrac {}{}{}{}{x}{a+b x^n+c x^{2 n}} \, dx\) [192]
\(\int \genfrac {}{}{}{}{1}{a+b x^n+c x^{2 n}} \, dx\) [193]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^n+c x^{2 n})} \, dx\) [194]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [195]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n+c x^{2 n})} \, dx\) [196]
\(\int \sqrt {d x} (a+b x^n+c x^{2 n}) \, dx\) [197]
\(\int \sqrt {d x} (a+b x^n+c x^{2 n}) \, dx\) [198]
\(\int \genfrac {}{}{}{}{a+b x^n+c x^{2 n}}{\sqrt {d x}} \, dx\) [199]
\(\int \genfrac {}{}{}{}{a+b x^n+c x^{2 n}}{(d x)^{3/2}} \, dx\) [200]