3.1 Integrals 1 to 17

\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3} (e+f x^3)}{a+b x^3} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(a+b x^3)^{5/2}}{(c+d x^3) (e+f x^3)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^3} (c+d x^3) (e+f x^3)} \, dx\) [3]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^4} (c+d x^4)}{e+f x^4} \, dx\) [4]
\(\int \genfrac {}{}{}{}{c+d x^4}{\sqrt {a+b x^4} (e+f x^4)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{e+\genfrac {}{}{}{}{f}{x^2}}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} (c+\genfrac {}{}{}{}{d}{x^2})} \, dx\) [6]
\(\int (a+b x^n)^p (c+d x^n)^q (e+f x^n)^2 \, dx\) [7]
\(\int (a+b x^n)^p (c+d x^n)^q (e+f x^n) \, dx\) [8]
\(\int (a+b x^n)^p (c+d x^n)^q \, dx\) [9]
\(\int \genfrac {}{}{}{}{(a+b x^n)^p (c+d x^n)^q}{e+f x^n} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(a+b x^n)^p (c+d x^n)^q}{(e+f x^n)^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{(a+b x^3)^p (c+d x^3)^q}{e+f x^3} \, dx\) [12]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{e+f x^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(a+b x)^p (c+d x)^q}{e+f x} \, dx\) [14]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^p (c+\genfrac {}{}{}{}{d}{x})^q}{e+\genfrac {}{}{}{}{f}{x}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{e+\genfrac {}{}{}{}{f}{x^2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^p (c+\genfrac {}{}{}{}{d}{x^3})^q}{e+\genfrac {}{}{}{}{f}{x^3}} \, dx\) [17]