3.1 Integrals 1 to 22

\(\int \genfrac {}{}{}{}{x^2 (A+B x) \sqrt {a x+b x^2}}{c+d x} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x (A+B x) \sqrt {a x+b x^2}}{c+d x} \, dx\) [2]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{c+d x} \, dx\) [3]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x (c+d x)} \, dx\) [4]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^2 (c+d x)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^3 (c+d x)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^4 (c+d x)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{x (A+B x) \sqrt {a x+b x^2}}{(c+d x)^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{(c+d x)^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x (c+d x)^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^2 (c+d x)^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^3 (c+d x)^2} \, dx\) [12]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a x+b x^2}}{x^4 (c+d x)^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{x^2 (A+B x)}{\sqrt {c+d x} \sqrt {a x+b x^2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{x (A+B x)}{\sqrt {d+e x} \sqrt {b x+c x^2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {c+d x} \sqrt {a x+b x^2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{A+B x}{x \sqrt {c+d x} \sqrt {a x+b x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{A+B x}{x^2 \sqrt {c+d x} \sqrt {a x+b x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{A+B x}{x^2 \sqrt {c+d x} \sqrt {a x+b x^2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{A+B x}{x^2 \sqrt {c+d x} \sqrt {a x-b x^2}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{A+B x}{x^2 \sqrt {c-d x} \sqrt {a x+b x^2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{A+B x}{x^2 \sqrt {c-d x} \sqrt {a x-b x^2}} \, dx\) [22]