3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a x^2+b x^3}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a x^2+b x^3}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a x^2+b x^3}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a x^2+b x^3}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a x^2+b x^3}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a x^2+b x^3}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a x^2+b x^3}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{x^6}{(a x^2+b x^3)^{3/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^{3/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{3/2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{3/2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{3/2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{3/2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{3/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{3/2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)^{3/2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{x^8}{(a x^2+b x^3)^{5/2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{x^7}{(a x^2+b x^3)^{5/2}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{x^6}{(a x^2+b x^3)^{5/2}} \, dx\) [319]
\(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^{5/2}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{5/2}} \, dx\) [321]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{5/2}} \, dx\) [322]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{5/2}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{5/2}} \, dx\) [324]
\(\int (c x)^{5/2} \sqrt {a x^2+b x^3} \, dx\) [325]
\(\int (c x)^{3/2} \sqrt {a x^2+b x^3} \, dx\) [326]
\(\int \sqrt {c x} \sqrt {a x^2+b x^3} \, dx\) [327]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{\sqrt {c x}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{3/2}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{5/2}} \, dx\) [330]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{7/2}} \, dx\) [331]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{9/2}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{11/2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{(c x)^{13/2}} \, dx\) [334]
\(\int (c x)^{3/2} (a x^2+b x^3)^{3/2} \, dx\) [335]
\(\int \sqrt {c x} (a x^2+b x^3)^{3/2} \, dx\) [336]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{\sqrt {c x}} \, dx\) [337]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{3/2}} \, dx\) [338]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{5/2}} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{7/2}} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{9/2}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{11/2}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{13/2}} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{15/2}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{17/2}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{(c x)^{19/2}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{(c x)^{7/2}}{\sqrt {a x^2+b x^3}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{(c x)^{5/2}}{\sqrt {a x^2+b x^3}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{(c x)^{3/2}}{\sqrt {a x^2+b x^3}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{\sqrt {c x}}{\sqrt {a x^2+b x^3}} \, dx\) [350]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c x} \sqrt {a x^2+b x^3}} \, dx\) [351]
\(\int \genfrac {}{}{}{}{1}{(c x)^{3/2} \sqrt {a x^2+b x^3}} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{(c x)^{5/2} \sqrt {a x^2+b x^3}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{(c x)^{7/2} \sqrt {a x^2+b x^3}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{(c x)^{11/2}}{(a x^2+b x^3)^{3/2}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{(c x)^{9/2}}{(a x^2+b x^3)^{3/2}} \, dx\) [356]
\(\int \genfrac {}{}{}{}{(c x)^{7/2}}{(a x^2+b x^3)^{3/2}} \, dx\) [357]
\(\int \genfrac {}{}{}{}{(c x)^{5/2}}{(a x^2+b x^3)^{3/2}} \, dx\) [358]
\(\int \genfrac {}{}{}{}{(c x)^{3/2}}{(a x^2+b x^3)^{3/2}} \, dx\) [359]
\(\int \genfrac {}{}{}{}{\sqrt {c x}}{(a x^2+b x^3)^{3/2}} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c x} (a x^2+b x^3)^{3/2}} \, dx\) [361]
\(\int \genfrac {}{}{}{}{1}{(c x)^{3/2} (a x^2+b x^3)^{3/2}} \, dx\) [362]
\(\int \genfrac {}{}{}{}{(c x)^{15/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [363]
\(\int \genfrac {}{}{}{}{(c x)^{13/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{(c x)^{11/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{(c x)^{9/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{(c x)^{7/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{(c x)^{5/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{(c x)^{3/2}}{(a x^2+b x^3)^{5/2}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\sqrt {c x}}{(a x^2+b x^3)^{5/2}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c x} (a x^2+b x^3)^{5/2}} \, dx\) [371]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{2/3}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{2/3}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{2/3}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{2/3}} \, dx\) [375]
\(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{2/3}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)^{2/3}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^{4/3}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{4/3}} \, dx\) [379]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{4/3}} \, dx\) [380]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{4/3}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{4/3}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{4/3}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{4/3}} \, dx\) [384]
\(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)^{4/3}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt [4]{a x^2+b x^3}} \, dx\) [386]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt [4]{a x^2+b x^3}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{x}{\sqrt [4]{a x^2+b x^3}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a x^2+b x^3}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{a x^2+b x^3}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{a x^2+b x^3}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [4]{a x^2+b x^3}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{3/4}} \, dx\) [393]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{3/4}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{3/4}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{3/4}} \, dx\) [396]
\(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{3/4}} \, dx\) [397]
\(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{3/4}} \, dx\) [398]
\(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)^{3/4}} \, dx\) [399]
\(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^{5/4}} \, dx\) [400]