3.3 Integrals 201 to 239

\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x) (g+h x)}{(a+b x)^{5/2}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x) (g+h x)}{(a+b x)^{7/2}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x) (g+h x)}{(a+b x)^{9/2}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x) (g+h x)}{(a+b x)^{11/2}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x) (g+h x)}{(a+b x)^{13/2}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a+b x} \sqrt {c+d x}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a+b x} \sqrt {c-d x}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a-b x} \sqrt {c+d x}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a-b x} \sqrt {c-d x}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {a+b x} \sqrt {c+\genfrac {}{}{}{}{b (-1+c) x}{a}} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [211]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [212]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{a b x}{2}}{\sqrt {2-b x} \sqrt {2+b x} \sqrt {c+d x}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{(e+f x)^{5/3} (g+h x)}{(a+b x) (c+d x)} \, dx\) [214]
\(\int \genfrac {}{}{}{}{(e+f x)^{2/3} (g+h x)}{(a+b x) (c+d x)} \, dx\) [215]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) \sqrt [3]{e+f x}} \, dx\) [216]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) (e+f x)^{4/3}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) (e+f x)^{7/3}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{(e+f x)^{4/3} (g+h x)}{(a+b x) (c+d x)} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sqrt [3]{e+f x} (g+h x)}{(a+b x) (c+d x)} \, dx\) [220]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) (e+f x)^{2/3}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) (e+f x)^{5/3}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b x) (c+d x) (e+f x)^{8/3}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\sqrt [3]{e+f x} (g+h x)}{(a+b x)^2 (c+d x)} \, dx\) [224]
\(\int (\genfrac {}{}{}{}{c (e x)^m}{a-b x}+\genfrac {}{}{}{}{d (e x)^m}{a+b x}) \, dx\) [225]
\(\int (e x)^m (\genfrac {}{}{}{}{c}{a-b x}+\genfrac {}{}{}{}{d}{a+b x}) \, dx\) [226]
\(\int \genfrac {}{}{}{}{(e x)^m (a (c+d)+b (c-d) x)}{(a-b x) (a+b x)} \, dx\) [227]
\(\int \genfrac {}{}{}{}{(e x)^m (a (c+d)+b (c-d) x)}{a^2-b^2 x^2} \, dx\) [228]
\(\int x (a+b x)^m (c+d x)^n (e+f x) \, dx\) [229]
\(\int (a+b x)^m (c+d x)^n (e+f x) (g+h x) \, dx\) [230]
\(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n (g+h x)}{\sqrt {e+f x}} \, dx\) [231]
\(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-m-n} \, dx\) [232]
\(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-1-m-n} \, dx\) [233]
\(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-2-m-n} \, dx\) [234]
\(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-3-m-n} \, dx\) [235]
\(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-4-m-n} \, dx\) [236]
\(\int x^p (a+b x)^p (a+2 b x)^q (a (1+p)+2 b (3+2 p+q) x) \, dx\) [237]
\(\int (a+b x)^m (c+d x)^n (-b c f+2 a d f+b d f x)^n (g+h x) \, dx\) [238]
\(\int (a+b x)^m (c+d x)^n (2 b c f-a d f+b d f x)^m (g+h x) \, dx\) [239]