3.2 Integrals 101 to 197

\(\int \genfrac {}{}{}{}{1}{a+b x^{2/3}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^2} \, dx\) [102]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^3} \, dx\) [103]
\(\int (a+b x^{4/3})^3 \, dx\) [104]
\(\int (a+b x^{4/3})^2 \, dx\) [105]
\(\int (a+b x^{4/3}) \, dx\) [106]
\(\int \genfrac {}{}{}{}{1}{a+b x^{4/3}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{4/3})^2} \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{4/3})^3} \, dx\) [109]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 \, dx\) [110]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 \, dx\) [111]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) \, dx\) [112]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2} \, dx\) [114]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3} \, dx\) [115]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}})^3 \, dx\) [116]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}})^2 \, dx\) [117]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}}) \, dx\) [118]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^{2/3}}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{2/3}})^2} \, dx\) [120]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{2/3}})^3} \, dx\) [121]
\(\int (a+\genfrac {}{}{}{}{b}{x^{4/3}})^3 \, dx\) [122]
\(\int (a+\genfrac {}{}{}{}{b}{x^{4/3}})^2 \, dx\) [123]
\(\int (a+\genfrac {}{}{}{}{b}{x^{4/3}}) \, dx\) [124]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^{4/3}}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{4/3}})^2} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{4/3}})^3} \, dx\) [127]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 \, dx\) [128]
\(\int \genfrac {}{}{}{}{(b+a \sqrt [3]{x})^2}{x^{2/3}} \, dx\) [129]
\(\int (a+b \sqrt [3]{x})^{3/2} \, dx\) [130]
\(\int \sqrt {a+b \sqrt [3]{x}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt [3]{x}}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^{3/2}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^{5/2}} \, dx\) [134]
\(\int (a+b x^{2/3})^{3/2} \, dx\) [135]
\(\int \sqrt {a+b x^{2/3}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^{2/3}}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^{3/2}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^{5/2}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^{7/2}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{2/3})^{9/2}} \, dx\) [141]
\(\int (a+b x^{4/3})^{3/2} \, dx\) [142]
\(\int \sqrt {a+b x^{4/3}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^{4/3}}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{1}{(a+b x^{4/3})^{3/2}} \, dx\) [145]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^{7/2} \, dx\) [146]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^{5/2} \, dx\) [147]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^{3/2} \, dx\) [148]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^{3/2}} \, dx\) [151]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}})^{5/2} \, dx\) [152]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}})^{3/2} \, dx\) [153]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^{2/3}}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^{2/3}}}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{2/3}})^{3/2}} \, dx\) [156]
\(\int (a+\genfrac {}{}{}{}{b}{x^{4/3}})^{3/2} \, dx\) [157]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^{4/3}}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^{4/3}}}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^{4/3}})^{3/2}} \, dx\) [160]
\(\int (a+b x^{4/3})^p \, dx\) [161]
\(\int (a+b x^{2/3})^p \, dx\) [162]
\(\int (a+b \sqrt [3]{x})^p \, dx\) [163]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^p \, dx\) [164]
\(\int (a+\genfrac {}{}{}{}{b}{x^{2/3}})^p \, dx\) [165]
\(\int (a+\genfrac {}{}{}{}{b}{x^{4/3}})^p \, dx\) [166]
\(\int (a+\genfrac {}{}{}{}{b}{\sqrt [4]{x}})^3 \, dx\) [167]
\(\int \genfrac {}{}{}{}{(b+a \sqrt [4]{x})^3}{x^{3/4}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{1+\sqrt [5]{x}} \, dx\) [169]
\(\int (a+\genfrac {}{}{}{}{b}{x^{3/5}})^{2/3} \, dx\) [170]
\(\int (a+b x^n)^3 \, dx\) [171]
\(\int (a+b x^n)^2 \, dx\) [172]
\(\int (a+b x^n) \, dx\) [173]
\(\int \genfrac {}{}{}{}{1}{a+b x^n} \, dx\) [174]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^{10}} \, dx\) [176]
\(\int (a+b x^n)^{3/2} \, dx\) [177]
\(\int \sqrt {a+b x^n} \, dx\) [178]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^n}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^{3/2}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^{5/2}} \, dx\) [181]
\(\int (a+b x^n)^p \, dx\) [182]
\(\int (a+b x^{-\genfrac {}{}{}{}{1}{1+p}})^p \, dx\) [183]
\(\int (a+b x^n)^{-4-\genfrac {}{}{}{}{1}{n}} \, dx\) [184]
\(\int (a+b x^n)^{-3-\genfrac {}{}{}{}{1}{n}} \, dx\) [185]
\(\int (a+b x^n)^{-2-\genfrac {}{}{}{}{1}{n}} \, dx\) [186]
\(\int (a+b x^n)^{-1-\genfrac {}{}{}{}{1}{n}} \, dx\) [187]
\(\int (a+b x^n)^{-1/n} \, dx\) [188]
\(\int (a+b x^n)^{1-\genfrac {}{}{}{}{1}{n}} \, dx\) [189]
\(\int (a+b x^n)^{2-\genfrac {}{}{}{}{1}{n}} \, dx\) [190]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+4 n}{n}} \, dx\) [191]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+3 n}{n}} \, dx\) [192]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+2 n}{n}} \, dx\) [193]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+n}{n}} \, dx\) [194]
\(\int (a+b x^n)^{-1/n} \, dx\) [195]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-n}{n}} \, dx\) [196]
\(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-2 n}{n}} \, dx\) [197]