3.2 Integrals 101 to 159

3.2.1 \(\int \genfrac {}{}{}{}{(7+5 x)^{5/2}}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x}} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{(7+5 x)^{3/2}}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x}} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{\sqrt {7+5 x}}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x}} \, dx\) [103]
3.2.4 \(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x} \sqrt {7+5 x}} \, dx\) [104]
3.2.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x} (7+5 x)^{3/2}} \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x} \sqrt {-5+2 x} \sqrt {1+4 x} (7+5 x)^{5/2}} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [109]
3.2.10 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} (c+d x)^{3/2} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{x^4 (e+f x)^n}{(a+b x) (c+d x)} \, dx\) [112]
3.2.13 \(\int \genfrac {}{}{}{}{x^3 (e+f x)^n}{(a+b x) (c+d x)} \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{x^2 (e+f x)^n}{(a+b x) (c+d x)} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{x (e+f x)^n}{(a+b x) (c+d x)} \, dx\) [115]
3.2.16 \(\int \genfrac {}{}{}{}{(e+f x)^n}{(a+b x) (c+d x)} \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{(e+f x)^n}{x (a+b x) (c+d x)} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{(e+f x)^n}{x^2 (a+b x) (c+d x)} \, dx\) [118]
3.2.19 \(\int (a+b x)^m (c+d x) (e+f x) (g+h x) \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x) (e+f x)}{g+h x} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)}{(e+f x) (g+h x)} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x) (e+f x) (g+h x)} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{x^m (e+f x)^n}{(a+b x) (c+d x)} \, dx\) [123]
3.2.24 \(\int (a+b x)^m (c+d x)^n (e+f x) (g+h x) \, dx\) [124]
3.2.25 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x) (g+h x) \, dx\) [125]
3.2.26 \(\int (a+b x)^m (c+d x)^{-m} (e+f x) (g+h x) \, dx\) [126]
3.2.27 \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x) (g+h x) \, dx\) [127]
3.2.28 \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x) (g+h x) \, dx\) [128]
3.2.29 \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x) (g+h x) \, dx\) [129]
3.2.30 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x) (g+h x) \, dx\) [130]
3.2.31 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x) (g+h x) \, dx\) [131]
3.2.32 \(\int (a+b x)^3 (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\) [132]
3.2.33 \(\int (a+b x)^2 (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\) [133]
3.2.34 \(\int (a+b x) (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\) [134]
3.2.35 \(\int (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{(A+B x) (c+d x)^n (e+f x)^p}{a+b x} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{(a+b x)^m (A+B x) (c+d x)^{-m}}{e+f x} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{(A+B x) (c+d x)^n (e+f x)^p}{\sqrt {a+b x}} \, dx\) [138]
3.2.39 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^3 \, dx\) [139]
3.2.40 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^2 \, dx\) [140]
3.2.41 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x) \, dx\) [141]
3.2.42 \(\int (a+b x)^m (c+d x)^n (e+f x)^p \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n (e+f x)^p}{g+h x} \, dx\) [143]
3.2.44 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-m-n} \, dx\) [144]
3.2.45 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-1-m-n} \, dx\) [145]
3.2.46 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-2-m-n} \, dx\) [146]
3.2.47 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-3-m-n} \, dx\) [147]
3.2.48 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-4-m-n} \, dx\) [148]
3.2.49 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [149]
3.2.50 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [150]
3.2.51 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^2 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^3 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^2 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^3 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^4 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [159]