3.3 Integrals 201 to 294

\(\int \genfrac {}{}{}{}{a+b x^n+c x^{2 n}}{(d x)^{5/2}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{(d x)^{3/2}}{a+b x^n+c x^{2 n}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{\sqrt {d x}}{a+b x^n+c x^{2 n}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b x^n+c x^{2 n})} \, dx\) [204]
\(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b x^n+c x^{2 n})} \, dx\) [205]
\(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b x^n+c x^{2 n})} \, dx\) [206]
\(\int \genfrac {}{}{}{}{(d x)^{3/2}}{(a+b x^n+c x^{2 n})^2} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\sqrt {d x}}{(a+b x^n+c x^{2 n})^2} \, dx\) [208]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b x^n+c x^{2 n})^2} \, dx\) [209]
\(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b x^n+c x^{2 n})^2} \, dx\) [210]
\(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b x^n+c x^{2 n})^2} \, dx\) [211]
\(\int x^3 \sqrt {a+b x^n+c x^{2 n}} \, dx\) [212]
\(\int x^2 \sqrt {a+b x^n+c x^{2 n}} \, dx\) [213]
\(\int x \sqrt {a+b x^n+c x^{2 n}} \, dx\) [214]
\(\int \sqrt {a+b x^n+c x^{2 n}} \, dx\) [215]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n+c x^{2 n}}}{x} \, dx\) [216]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n+c x^{2 n}}}{x^2} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n+c x^{2 n}}}{x^3} \, dx\) [218]
\(\int x^3 (a+b x^n+c x^{2 n})^{3/2} \, dx\) [219]
\(\int x^2 (a+b x^n+c x^{2 n})^{3/2} \, dx\) [220]
\(\int x (a+b x^n+c x^{2 n})^{3/2} \, dx\) [221]
\(\int (a+b x^n+c x^{2 n})^{3/2} \, dx\) [222]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^{3/2}}{x} \, dx\) [223]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^{3/2}}{x^2} \, dx\) [224]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^{3/2}}{x^3} \, dx\) [225]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^n+c x^{2 n}}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^n+c x^{2 n}}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^n+c x^{2 n}}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{x}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^n+c x^{2 n})^{3/2}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n+c x^{2 n})^{3/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n+c x^{2 n})^{3/2}} \, dx\) [239]
\(\int (d x)^m (a+b x^n+c x^{2 n})^3 \, dx\) [240]
\(\int (d x)^m (a+b x^n+c x^{2 n})^2 \, dx\) [241]
\(\int (d x)^m (a+b x^n+c x^{2 n}) \, dx\) [242]
\(\int \genfrac {}{}{}{}{(d x)^m}{a+b x^n+c x^{2 n}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b x^n+c x^{2 n})^2} \, dx\) [244]
\(\int (d x)^m (a+b x^n+c x^{2 n})^{3/2} \, dx\) [245]
\(\int (d x)^m \sqrt {a+b x^n+c x^{2 n}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [248]
\(\int (d x)^m (a+b x^n+c x^{2 n})^p \, dx\) [249]
\(\int x^3 (a+b x^n+c x^{2 n})^p \, dx\) [250]
\(\int x^2 (a+b x^n+c x^{2 n})^p \, dx\) [251]
\(\int x (a+b x^n+c x^{2 n})^p \, dx\) [252]
\(\int (a+b x^n+c x^{2 n})^p \, dx\) [253]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^p}{x} \, dx\) [254]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^p}{x^2} \, dx\) [255]
\(\int \genfrac {}{}{}{}{(a+b x^n+c x^{2 n})^p}{x^3} \, dx\) [256]
\(\int x^{3 n} (a+b x^n+c x^{2 n})^p \, dx\) [257]
\(\int x^{2/n} (a+b x^n+c x^{2 n})^p \, dx\) [258]
\(\int x^{\genfrac {}{}{}{}{1}{n}} (a+b x^n+c x^{2 n})^p \, dx\) [259]
\(\int (a+b x^n+c x^{2 n})^p \, dx\) [260]
\(\int x^{-1/n} (a+b x^n+c x^{2 n})^p \, dx\) [261]
\(\int x^{-2/n} (a+b x^n+c x^{2 n})^p \, dx\) [262]
\(\int x^{-3/n} (a+b x^n+c x^{2 n})^p \, dx\) [263]
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4) \, dx\) [264]
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2 \, dx\) [265]
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3 \, dx\) [266]
\(\int \genfrac {}{}{}{}{(d f+e f x)^4}{a+b (d+e x)^2+c (d+e x)^4} \, dx\) [267]
\(\int \genfrac {}{}{}{}{(d f+e f x)^3}{a+b (d+e x)^2+c (d+e x)^4} \, dx\) [268]
\(\int \genfrac {}{}{}{}{(d f+e f x)^2}{a+b (d+e x)^2+c (d+e x)^4} \, dx\) [269]
\(\int \genfrac {}{}{}{}{d f+e f x}{a+b (d+e x)^2+c (d+e x)^4} \, dx\) [270]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)} \, dx\) [271]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\) [272]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\) [273]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^4 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\) [274]
\(\int \genfrac {}{}{}{}{(d f+e f x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [275]
\(\int \genfrac {}{}{}{}{(d f+e f x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [276]
\(\int \genfrac {}{}{}{}{(d f+e f x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [277]
\(\int \genfrac {}{}{}{}{d f+e f x}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [278]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [280]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [281]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^4 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\) [282]
\(\int \genfrac {}{}{}{}{(d f+e f x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [283]
\(\int \genfrac {}{}{}{}{(d f+e f x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [284]
\(\int \genfrac {}{}{}{}{(d f+e f x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [285]
\(\int \genfrac {}{}{}{}{d f+e f x}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [286]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [287]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [288]
\(\int \genfrac {}{}{}{}{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\) [289]
\(\int (2+3 x)^6 (1+(2+3 x)^7+(2+3 x)^{14}) \, dx\) [290]
\(\int (2+3 x)^6 (1+(2+3 x)^7+(2+3 x)^{14})^2 \, dx\) [291]
\(\int (d (s+t x))^m (a+b (s+t x)^n+c (s+t x)^{2 n}) \, dx\) [292]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b (d+e x)^3+c (d+e x)^6}} \, dx\) [293]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b (d+e x)^3+c (d+e x)^6}} \, dx\) [294]