3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^5} \, dx\) [301]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^6} \, dx\) [302]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^7} \, dx\) [303]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^8} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^9} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{12}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{d+e x}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [319]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [321]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [322]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [324]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [325]
\(\int \genfrac {}{}{}{}{(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [326]
\(\int \genfrac {}{}{}{}{(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [330]
\(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [331]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [335]
\(\int (d+e x) (9+12 x+4 x^2)^{5/2} \, dx\) [336]
\(\int (d+e x) (9+12 x+4 x^2)^{3/2} \, dx\) [337]
\(\int (d+e x) \sqrt {9+12 x+4 x^2} \, dx\) [338]
\(\int \genfrac {}{}{}{}{d+e x}{\sqrt {9+12 x+4 x^2}} \, dx\) [339]
\(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{3/2}} \, dx\) [340]
\(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{5/2}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{7/2}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {\genfrac {}{}{}{}{b^2}{4 c}+b x+c x^2}} \, dx\) [343]
\(\int (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [344]
\(\int (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [345]
\(\int \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [346]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\) [350]
\(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [351]
\(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [352]
\(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [353]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [356]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [357]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [358]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [359]
\(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [360]
\(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [361]
\(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [362]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [363]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [371]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [375]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [379]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [380]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [384]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [386]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [396]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [397]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [398]
\(\int (a d+b d x)^m (a^2 c+2 a b c x+b^2 c x^2)^3 \, dx\) [399]
\(\int (a d+b d x)^m (a^2 c+2 a b c x+b^2 c x^2)^2 \, dx\) [400]