3.2 Integrals 101 to 163

3.2.1 \(\int \genfrac {}{}{}{}{x}{1-x^2} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{x}{1-x^3} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{x}{1-x^4} \, dx\) [103]
3.2.4 \(\int \genfrac {}{}{}{}{1}{x (1+x^2)} \, dx\) [104]
3.2.5 \(\int \genfrac {}{}{}{}{1}{x (1-x^2)} \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{a+b x}{A+B x} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{1}{(a+b x) (A+B x)} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{x}{(a+b x) (A+B x)} \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x)} \, dx\) [109]
3.2.10 \(\int \genfrac {}{}{}{}{\sqrt {x}}{a+b x} \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{x^{3/2}}{a+b x} \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{x^{5/2}}{a+b x} \, dx\) [112]
3.2.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x)^2} \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x)^2} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x)^2} \, dx\) [115]
3.2.16 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x)^2} \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x)^3} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x)^3} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x)^3} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x)^3} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2)} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{\sqrt {x}}{a+b x^2} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{x^{3/2}}{a+b x^2} \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{x^{5/2}}{a+b x^2} \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2)^2} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x^2)^2} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x^2)^2} \, dx\) [127]
3.2.28 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x^2)^2} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2)^3} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x^2)^3} \, dx\) [130]
3.2.31 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x^2)^3} \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x^2)^3} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}} \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}} \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{1}{\sqrt {(a+b x)^3}} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{x}{\sqrt {(a+b x)^3}} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {(a+b x)^3}} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x}} \, dx\) [139]
3.2.40 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x} \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^3} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{\sqrt {(a+b x)^3}}{x} \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{\sqrt {(a+b x)^3}}{x^2} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{\sqrt {(a+b x)^3}}{x^3} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x}} \, dx\) [146]
3.2.47 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x}} \, dx\) [147]
3.2.48 \(\int \genfrac {}{}{}{}{1}{x \sqrt {(a+b x)^3}} \, dx\) [148]
3.2.49 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {(a+b x)^3}} \, dx\) [149]
3.2.50 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {(a+b x)^3}} \, dx\) [150]
3.2.51 \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{(a+b x)^2}} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x^2} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x^3} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{(a+b x)^2}} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{(a+b x)^2}} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{a+b x}} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{\sqrt [3]{(a+b x)^2}}{x} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{\sqrt [3]{(a+b x)^2}}{x^2} \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{\sqrt [3]{(a+b x)^3}}{x^2} \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{a+b x}} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{a+b x}} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {a+b x}} \, dx\) [163]