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