3.3 Integrals 201 to 275

\(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{x^2 (a x+b x^2)^{3/2}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{x}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {c+d x} (a x+b x^2)^{3/2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {-2+3 x-x^2}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-1+x} \sqrt {2 x-x^2}} \, dx\) [211]
\(\int x^2 (c+d x)^q (a x+b x^2)^p \, dx\) [212]
\(\int x (c+d x)^q (a x+b x^2)^p \, dx\) [213]
\(\int (c+d x)^q (a x+b x^2)^p \, dx\) [214]
\(\int \genfrac {}{}{}{}{(c+d x)^q (a x+b x^2)^p}{x} \, dx\) [215]
\(\int \genfrac {}{}{}{}{(c+d x)^q (a x+b x^2)^p}{x^2} \, dx\) [216]
\(\int x^3 (a+2 b x)^q (a x+b x^2)^p \, dx\) [217]
\(\int x^2 (a+2 b x)^q (a x+b x^2)^p \, dx\) [218]
\(\int x (a+2 b x)^q (a x+b x^2)^p \, dx\) [219]
\(\int (a+2 b x)^q (a x+b x^2)^p \, dx\) [220]
\(\int \genfrac {}{}{}{}{(a+2 b x)^q (a x+b x^2)^p}{x} \, dx\) [221]
\(\int \genfrac {}{}{}{}{(a+2 b x)^q (a x+b x^2)^p}{x^2} \, dx\) [222]
\(\int (3-x)^q x (6 x-x^2)^p \, dx\) [223]
\(\int \genfrac {}{}{}{}{x^3 (c+d x)}{\sqrt {a x^2+b x^3}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{x^2 (c+d x)}{\sqrt {a x^2+b x^3}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{x (c+d x)}{\sqrt {a x^2+b x^3}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{c+d x}{\sqrt {a x^2+b x^3}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{c+d x}{x \sqrt {a x^2+b x^3}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{c+d x}{x^2 \sqrt {a x^2+b x^3}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{c+d x}{x^3 \sqrt {a x^2+b x^3}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{c+d x}{x^4 \sqrt {a x^2+b x^3}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{x^3 (c+d x)^2}{\sqrt {a x^2+b x^3}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{x^2 (c+d x)^2}{\sqrt {a x^2+b x^3}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{x (c+d x)^2}{\sqrt {a x^2+b x^3}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{\sqrt {a x^2+b x^3}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{x \sqrt {a x^2+b x^3}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{x^2 \sqrt {a x^2+b x^3}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{x^3 \sqrt {a x^2+b x^3}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{x^4 \sqrt {a x^2+b x^3}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{x^4}{(c+d x) \sqrt {a x^2+b x^3}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{x^3}{(c+d x) \sqrt {a x^2+b x^3}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{x^2}{(c+d x) \sqrt {a x^2+b x^3}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{x}{(c+d x) \sqrt {a x^2+b x^3}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt {a x^2+b x^3}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{1}{x (c+d x) \sqrt {a x^2+b x^3}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{x^2 (c+d x) \sqrt {a x^2+b x^3}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{1}{x^3 (c+d x) \sqrt {a x^2+b x^3}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{x^3}{(c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{x^2}{(c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [249]
\(\int \genfrac {}{}{}{}{x}{(c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [250]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [251]
\(\int \genfrac {}{}{}{}{1}{x (c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{x^2 (c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{x^3 (c+d x)^2 \sqrt {a x^2+b x^3}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{(e x)^{-3+\genfrac {}{}{}{}{3 n}{2}} (c+d x)^3}{(a x^n+b x^{1+n})^{3/2}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{(e x)^{-2+\genfrac {}{}{}{}{3 n}{2}} (c+d x)^2}{(a x^n+b x^{1+n})^{3/2}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{(e x)^{-1+\genfrac {}{}{}{}{3 n}{2}} (c+d x)}{(a x^n+b x^{1+n})^{3/2}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{(e x)^{3 n/2}}{(a x^n+b x^{1+n})^{3/2}} \, dx\) [258]
\(\int \genfrac {}{}{}{}{(e x)^{1+\genfrac {}{}{}{}{3 n}{2}}}{(c+d x) (a x^n+b x^{1+n})^{3/2}} \, dx\) [259]
\(\int \genfrac {}{}{}{}{(e x)^{2+\genfrac {}{}{}{}{3 n}{2}}}{(c+d x)^2 (a x^n+b x^{1+n})^{3/2}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{(e x)^{3+\genfrac {}{}{}{}{3 n}{2}}}{(c+d x)^3 (a x^n+b x^{1+n})^{3/2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {c+d x} \sqrt {a x^n+b x^{1+n}}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {c-d x} \sqrt {a x^n+b x^{1+n}}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {c+d x} \sqrt {a x^n-b x^{1+n}}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {c-d x} \sqrt {a x^n-b x^{1+n}}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {1+5 x} \sqrt {2 x^n+3 x^{1+n}}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {1-5 x} \sqrt {2 x^n+3 x^{1+n}}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {1+5 x} \sqrt {2 x^n-3 x^{1+n}}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{1}{2} (-1+n)}}{\sqrt {1-5 x} \sqrt {2 x^n-3 x^{1+n}}} \, dx\) [269]
\(\int (e x)^m (c+d x)^q (a x^n+b x^{1+n})^p \, dx\) [270]
\(\int x^2 (c+d x)^q (a x^n+b x^{1+n})^p \, dx\) [271]
\(\int x (c+d x)^q (a x^n+b x^{1+n})^p \, dx\) [272]
\(\int (c+d x)^q (a x^n+b x^{1+n})^p \, dx\) [273]
\(\int \genfrac {}{}{}{}{(c+d x)^q (a x^n+b x^{1+n})^p}{x} \, dx\) [274]
\(\int \genfrac {}{}{}{}{(c+d x)^q (a x^n+b x^{1+n})^p}{x^2} \, dx\) [275]