3.4 Integrals 301 to 400

   \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a x^2+b x^5}} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a x^2+b x^5}} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a x^2+b x^5}} \, dx\) [303]
   \(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {a x^2+b x^5}} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {a x^2+b x^5}} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {a x^2+b x^5}} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{1}{x^{11/2} \sqrt {a x^2+b x^5}} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{x}{a x^3+b x^4} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{1}{a x^3+b x^4} \, dx\) [309]
   \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a x^3+b x^4}} \, dx\) [310]
   \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a x^3+b x^4}} \, dx\) [311]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a x^3+b x^4}} \, dx\) [312]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {a x^3+b x^4}} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^3+b x^4}} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {a x^3+b x^4}} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a x^3+b x^4}} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a x^3+b x^4}} \, dx\) [317]
   \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a x^3+b x^4}} \, dx\) [318]
   \(\int \genfrac {}{}{}{}{1}{x^3+b x^5} \, dx\) [319]
   \(\int \genfrac {}{}{}{}{1}{-x^3+b x^5} \, dx\) [320]
   \(\int \genfrac {}{}{}{}{1}{a x+b x} \, dx\) [321]
   \(\int \genfrac {}{}{}{}{1}{(a x+b x)^2} \, dx\) [322]
   \(\int \genfrac {}{}{}{}{1}{(a x+b x)^3} \, dx\) [323]
   \(\int \genfrac {}{}{}{}{1}{a x^2+b x^2} \, dx\) [324]
   \(\int \genfrac {}{}{}{}{1}{a x^n+b x^n} \, dx\) [325]
   \(\int \genfrac {}{}{}{}{1}{(a x^n+b x^n)^2} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{1}{(a x^n+b x^n)^3} \, dx\) [327]
   \(\int (a x+b x^{14})^{12} \, dx\) [328]
   \(\int x^{12} (a x+b x^{26})^{12} \, dx\) [329]
   \(\int x^{24} (a x+b x^{38})^{12} \, dx\) [330]
   \(\int x^{12 (-1+m)} (a x+b x^{2+12 m})^{12} \, dx\) [331]
   \(\int (a x+b x^{14})^{12} \, dx\) [332]
   \(\int (a x^2+b x^{27})^{12} \, dx\) [333]
   \(\int (a x^3+b x^{40})^{12} \, dx\) [334]
   \(\int (a x^m+b x^{1+13 m})^{12} \, dx\) [335]
   \(\int (a x^m+b x^{1+6 m})^5 \, dx\) [336]
   \(\int \genfrac {}{}{}{}{1}{(b x^{1-2 m}+a x^m)^3} \, dx\) [337]
   \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x}+a x} \, dx\) [338]
   \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x^2}+a x} \, dx\) [339]
   \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x^3}+a x} \, dx\) [340]
   \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x}+a x)^3} \, dx\) [341]
   \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x^3}+a x^2)^3} \, dx\) [342]
   \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x^5}+a x^3)^3} \, dx\) [343]
   \(\int (\genfrac {}{}{}{}{a}{x}+b x)^2 \, dx\) [344]
   \(\int (\genfrac {}{}{}{}{a}{x}+b x)^3 \, dx\) [345]
   \(\int (\genfrac {}{}{}{}{a}{x}+b x)^4 \, dx\) [346]
   \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{x^2}+x^3} \, dx\) [347]
   \(\int x^p (a x^n+b x^{1+13 n+p})^{12} \, dx\) [348]
   \(\int x^{12} (a+b x^{13})^{12} \, dx\) [349]
   \(\int x^{12} (a x+b x^{26})^{12} \, dx\) [350]
   \(\int x^{12} (a x^2+b x^{39})^{12} \, dx\) [351]
   \(\int x^{24} (a+b x^{25})^{12} \, dx\) [352]
   \(\int x^{24} (a x+b x^{38})^{12} \, dx\) [353]
   \(\int x^{36} (a+b x^{37})^{12} \, dx\) [354]
   \(\int \genfrac {}{}{}{}{1}{a x+b x^n} \, dx\) [355]
   \(\int \genfrac {}{}{}{}{1}{a x+b x^{1+n}} \, dx\) [356]
   \(\int \genfrac {}{}{}{}{1}{a x+b x^{1-n}} \, dx\) [357]
   \(\int \genfrac {}{}{}{}{1}{2 x+3 x^{1+n}} \, dx\) [358]
   \(\int \genfrac {}{}{}{}{1}{2 x+3 x^{1-n}} \, dx\) [359]
   \(\int \genfrac {}{}{}{}{1}{-\sqrt {x}+x} \, dx\) [360]
   \(\int \genfrac {}{}{}{}{1}{-x^{3/5}+x} \, dx\) [361]
   \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+x} \, dx\) [362]
   \(\int \genfrac {}{}{}{}{1}{x+x^{\sqrt {2}}} \, dx\) [363]
   \(\int x^{-1-\genfrac {}{}{}{}{j}{2}} \sqrt {a x^j+b x^n} \, dx\) [364]
   \(\int (c x)^{-1-\genfrac {}{}{}{}{j}{2}} \sqrt {a x^j+b x^n} \, dx\) [365]
   \(\int \genfrac {}{}{}{}{\sqrt {a x^3+b x^n}}{(c x)^{5/2}} \, dx\) [366]
   \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^n}}{c^2 x^2} \, dx\) [367]
   \(\int \genfrac {}{}{}{}{\sqrt {a x+b x^n}}{(c x)^{3/2}} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{c x} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x}+b x^n}}{\sqrt {c x}} \, dx\) [370]
   \(\int \sqrt {\genfrac {}{}{}{}{a}{x^2}+b x^n} \, dx\) [371]
   \(\int \sqrt {c x} \sqrt {\genfrac {}{}{}{}{a}{x^3}+b x^n} \, dx\) [372]
   \(\int (c x)^{-1-\genfrac {}{}{}{}{3 j}{2}} (a x^j+b x^n)^{3/2} \, dx\) [373]
   \(\int \genfrac {}{}{}{}{(a x^3+b x^n)^{3/2}}{(c x)^{11/2}} \, dx\) [374]
   \(\int \genfrac {}{}{}{}{(a x^2+b x^n)^{3/2}}{c^4 x^4} \, dx\) [375]
   \(\int \genfrac {}{}{}{}{(a x+b x^n)^{3/2}}{(c x)^{5/2}} \, dx\) [376]
   \(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{c x} \, dx\) [377]
   \(\int \sqrt {c x} (\genfrac {}{}{}{}{a}{x}+b x^n)^{3/2} \, dx\) [378]
   \(\int c^2 x^2 (\genfrac {}{}{}{}{a}{x^2}+b x^n)^{3/2} \, dx\) [379]
   \(\int (c x)^{7/2} (\genfrac {}{}{}{}{a}{x^3}+b x^n)^{3/2} \, dx\) [380]
   \(\int c^5 x^5 (\genfrac {}{}{}{}{a}{x^4}+b x^n)^{3/2} \, dx\) [381]
   \(\int \sqrt {\genfrac {}{}{}{}{a+b x}{x^2}} \, dx\) [382]
   \(\int \sqrt {\genfrac {}{}{}{}{a+b x^2}{x^2}} \, dx\) [383]
   \(\int \sqrt {\genfrac {}{}{}{}{a+b x^3}{x^2}} \, dx\) [384]
   \(\int \sqrt {\genfrac {}{}{}{}{a+b x^n}{x^2}} \, dx\) [385]
   \(\int \sqrt {\genfrac {}{}{}{}{-a+b x}{x^2}} \, dx\) [386]
   \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^2}{x^2}} \, dx\) [387]
   \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^3}{x^2}} \, dx\) [388]
   \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^n}{x^2}} \, dx\) [389]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{j}{2}}}{\sqrt {a x^j+b x^n}} \, dx\) [390]
   \(\int \genfrac {}{}{}{}{\sqrt {c x}}{\sqrt {a x^3+b x^n}} \, dx\) [391]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^2+b x^n}} \, dx\) [392]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {c x} \sqrt {a x+b x^n}} \, dx\) [393]
   \(\int \genfrac {}{}{}{}{1}{c x \sqrt {a+b x^n}} \, dx\) [394]
   \(\int \genfrac {}{}{}{}{1}{(c x)^{3/2} \sqrt {\genfrac {}{}{}{}{a}{x}+b x^n}} \, dx\) [395]
   \(\int \genfrac {}{}{}{}{1}{c^2 x^2 \sqrt {\genfrac {}{}{}{}{a}{x^2}+b x^n}} \, dx\) [396]
   \(\int \genfrac {}{}{}{}{1}{(c x)^{5/2} \sqrt {\genfrac {}{}{}{}{a}{x^3}+b x^n}} \, dx\) [397]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{3 j}{2}}}{(a x^j+b x^n)^{3/2}} \, dx\) [398]
   \(\int \genfrac {}{}{}{}{(c x)^{7/2}}{(a x^3+b x^n)^{3/2}} \, dx\) [399]
   \(\int \genfrac {}{}{}{}{c^2 x^2}{(a x^2+b x^n)^{3/2}} \, dx\) [400]