3.1 Integrals 1 to 43

\(\int \genfrac {}{}{}{}{(a+b x)^2 (A+B x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(a+b x) (A+B x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x}{(a+b x) \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x}{(a+b x)^2 \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (A+B x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (A+B x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{A+B x}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{A+B x}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (d e+c f+2 d f x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (d e+c f+2 d f x)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{d e+c f+2 d f x}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{d e+c f+2 d f x}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{d e+c f+2 d f x}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x) (c+d x) (e+f x) (g+h x)} \, dx\) [16]
\(\int \genfrac {}{}{}{}{(a+b x) (a b B-a^2 C+b^2 B x+b^2 C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x) \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^2 \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^3 \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (a b B-a^2 C+b^2 B x+b^2 C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [23]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [24]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [25]
\(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{7/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{(a+b x)^2 (A+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{(a+b x) (A+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{A+C x^2}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x) \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [30]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x)^2 \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (A+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (A+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{A+C x^2}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x)^{7/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {c+d x} (e+f x)^{3/2} \sqrt {g+h x}} \, dx\) [43]