3.2 Integrals 101 to 143

3.2.1 \(\int \genfrac {}{}{}{}{1}{1+x^2+2 x \cos (\genfrac {}{}{}{}{1}{7})} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{1}{1+x^2+2 x \cos (\genfrac {}{}{}{}{\pi }{7})} \, dx\) [102]
3.2.3 \(\int \sqrt {5-6 x+9 x^2} \, dx\) [103]
3.2.4 \(\int \sqrt {3-4 x-4 x^2} \, dx\) [104]
3.2.5 \(\int \sqrt {-8+6 x+9 x^2} \, dx\) [105]
3.2.6 \(\int \sqrt {2+4 x+3 x^2} \, dx\) [106]
3.2.7 \(\int \sqrt {2+4 x-3 x^2} \, dx\) [107]
3.2.8 \(\int \sqrt {2+5 x+3 x^2} \, dx\) [108]
3.2.9 \(\int \sqrt {2+5 x-3 x^2} \, dx\) [109]
3.2.10 \(\int \sqrt {-2+4 x+3 x^2} \, dx\) [110]
3.2.11 \(\int \sqrt {-2+4 x-3 x^2} \, dx\) [111]
3.2.12 \(\int \sqrt {-2+5 x+3 x^2} \, dx\) [112]
3.2.13 \(\int \sqrt {-2+5 x-3 x^2} \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{1}{\sqrt {5-6 x+9 x^2}} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-4 x-4 x^2}} \, dx\) [115]
3.2.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {-8+6 x+9 x^2}} \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+4 x+3 x^2}} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+4 x-3 x^2}} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+5 x+3 x^2}} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+5 x-3 x^2}} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2+4 x+3 x^2}} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2+4 x-3 x^2}} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2+5 x+3 x^2}} \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2+5 x-3 x^2}} \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{b^2+4 c}{4 c}+b x+c x^2}} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-b^2+4 c}{4 c}+b x-c x^2}} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-b^2+c}{4 c}+b x-c x^2}} \, dx\) [127]
3.2.28 \(\int \genfrac {}{}{}{}{1}{(2+3 x+x^2)^{3/2}} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{1}{(27-24 x+4 x^2)^{3/2}} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{x}{(5-4 x-x^2)^{3/2}} \, dx\) [130]
3.2.31 \(\int \genfrac {}{}{}{}{1}{(5-4 x-x^2)^{5/2}} \, dx\) [131]
3.2.32 \(\int (a+b x+c x^2)^p \, dx\) [132]
3.2.33 \(\int (3+4 x+5 x^2)^p \, dx\) [133]
3.2.34 \(\int (3+4 x+4 x^2)^p \, dx\) [134]
3.2.35 \(\int (3+4 x+3 x^2)^p \, dx\) [135]
3.2.36 \(\int (3+4 x+2 x^2)^p \, dx\) [136]
3.2.37 \(\int (3+4 x+x^2)^p \, dx\) [137]
3.2.38 \(\int (3+4 x)^p \, dx\) [138]
3.2.39 \(\int (3+4 x-x^2)^p \, dx\) [139]
3.2.40 \(\int (3+4 x-2 x^2)^p \, dx\) [140]
3.2.41 \(\int (3+4 x-3 x^2)^p \, dx\) [141]
3.2.42 \(\int (3+4 x-4 x^2)^p \, dx\) [142]
3.2.43 \(\int (3+4 x-5 x^2)^p \, dx\) [143]