3.4.1 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a x^2+b x^5}} \, dx\) [301]
  3.4.2 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a x^2+b x^5}} \, dx\) [302]
  3.4.3 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a x^2+b x^5}} \, dx\) [303]
  3.4.4 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {a x^2+b x^5}} \, dx\) [304]
  3.4.5 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {a x^2+b x^5}} \, dx\) [305]
  3.4.6 \(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {a x^2+b x^5}} \, dx\) [306]
  3.4.7 \(\int \genfrac {}{}{}{}{1}{x^{11/2} \sqrt {a x^2+b x^5}} \, dx\) [307]
  3.4.8 \(\int \genfrac {}{}{}{}{x}{a x^3+b x^4} \, dx\) [308]
  3.4.9 \(\int \genfrac {}{}{}{}{1}{a x^3+b x^4} \, dx\) [309]
  3.4.10 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a x^3+b x^4}} \, dx\) [310]
  3.4.11 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a x^3+b x^4}} \, dx\) [311]
  3.4.12 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a x^3+b x^4}} \, dx\) [312]
  3.4.13 \(\int \genfrac {}{}{}{}{x}{\sqrt {a x^3+b x^4}} \, dx\) [313]
  3.4.14 \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^3+b x^4}} \, dx\) [314]
  3.4.15 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a x^3+b x^4}} \, dx\) [315]
  3.4.16 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a x^3+b x^4}} \, dx\) [316]
  3.4.17 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a x^3+b x^4}} \, dx\) [317]
  3.4.18 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a x^3+b x^4}} \, dx\) [318]
  3.4.19 \(\int \genfrac {}{}{}{}{1}{x^3+b x^5} \, dx\) [319]
  3.4.20 \(\int \genfrac {}{}{}{}{1}{-x^3+b x^5} \, dx\) [320]
  3.4.21 \(\int \genfrac {}{}{}{}{1}{a x+b x} \, dx\) [321]
  3.4.22 \(\int \genfrac {}{}{}{}{1}{(a x+b x)^2} \, dx\) [322]
  3.4.23 \(\int \genfrac {}{}{}{}{1}{(a x+b x)^3} \, dx\) [323]
  3.4.24 \(\int \genfrac {}{}{}{}{1}{a x^2+b x^2} \, dx\) [324]
  3.4.25 \(\int \genfrac {}{}{}{}{1}{a x^n+b x^n} \, dx\) [325]
  3.4.26 \(\int \genfrac {}{}{}{}{1}{(a x^n+b x^n)^2} \, dx\) [326]
  3.4.27 \(\int \genfrac {}{}{}{}{1}{(a x^n+b x^n)^3} \, dx\) [327]
  3.4.28 \(\int (a x+b x^{14})^{12} \, dx\) [328]
  3.4.29 \(\int x^{12} (a x+b x^{26})^{12} \, dx\) [329]
  3.4.30 \(\int x^{24} (a x+b x^{38})^{12} \, dx\) [330]
  3.4.31 \(\int x^{12 (-1+m)} (a x+b x^{2+12 m})^{12} \, dx\) [331]
  3.4.32 \(\int (a x+b x^{14})^{12} \, dx\) [332]
  3.4.33 \(\int (a x^2+b x^{27})^{12} \, dx\) [333]
  3.4.34 \(\int (a x^3+b x^{40})^{12} \, dx\) [334]
  3.4.35 \(\int (a x^m+b x^{1+13 m})^{12} \, dx\) [335]
  3.4.36 \(\int (a x^m+b x^{1+6 m})^5 \, dx\) [336]
  3.4.37 \(\int \genfrac {}{}{}{}{1}{(b x^{1-2 m}+a x^m)^3} \, dx\) [337]
  3.4.38 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x}+a x} \, dx\) [338]
  3.4.39 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x^2}+a x} \, dx\) [339]
  3.4.40 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{b}{x^3}+a x} \, dx\) [340]
  3.4.41 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x}+a x)^3} \, dx\) [341]
  3.4.42 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x^3}+a x^2)^3} \, dx\) [342]
  3.4.43 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b}{x^5}+a x^3)^3} \, dx\) [343]
  3.4.44 \(\int (\genfrac {}{}{}{}{a}{x}+b x)^2 \, dx\) [344]
  3.4.45 \(\int (\genfrac {}{}{}{}{a}{x}+b x)^3 \, dx\) [345]
  3.4.46 \(\int (\genfrac {}{}{}{}{a}{x}+b x)^4 \, dx\) [346]
  3.4.47 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{x^2}+x^3} \, dx\) [347]
  3.4.48 \(\int x^p (a x^n+b x^{1+13 n+p})^{12} \, dx\) [348]
  3.4.49 \(\int x^{12} (a+b x^{13})^{12} \, dx\) [349]
  3.4.50 \(\int x^{12} (a x+b x^{26})^{12} \, dx\) [350]
  3.4.51 \(\int x^{12} (a x^2+b x^{39})^{12} \, dx\) [351]
  3.4.52 \(\int x^{24} (a+b x^{25})^{12} \, dx\) [352]
  3.4.53 \(\int x^{24} (a x+b x^{38})^{12} \, dx\) [353]
  3.4.54 \(\int x^{36} (a+b x^{37})^{12} \, dx\) [354]
  3.4.55 \(\int \genfrac {}{}{}{}{1}{a x+b x^n} \, dx\) [355]
  3.4.56 \(\int \genfrac {}{}{}{}{1}{a x+b x^{1+n}} \, dx\) [356]
  3.4.57 \(\int \genfrac {}{}{}{}{1}{a x+b x^{1-n}} \, dx\) [357]
  3.4.58 \(\int \genfrac {}{}{}{}{1}{2 x+3 x^{1+n}} \, dx\) [358]
  3.4.59 \(\int \genfrac {}{}{}{}{1}{2 x+3 x^{1-n}} \, dx\) [359]
  3.4.60 \(\int \genfrac {}{}{}{}{1}{-\sqrt {x}+x} \, dx\) [360]
  3.4.61 \(\int \genfrac {}{}{}{}{1}{-x^{3/5}+x} \, dx\) [361]
  3.4.62 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+x} \, dx\) [362]
  3.4.63 \(\int \genfrac {}{}{}{}{1}{x+x^{\sqrt {2}}} \, dx\) [363]
  3.4.64 \(\int x^{-1-\genfrac {}{}{}{}{j}{2}} \sqrt {a x^j+b x^n} \, dx\) [364]
  3.4.65 \(\int (c x)^{-1-\genfrac {}{}{}{}{j}{2}} \sqrt {a x^j+b x^n} \, dx\) [365]
  3.4.66 \(\int \genfrac {}{}{}{}{\sqrt {a x^3+b x^n}}{(c x)^{5/2}} \, dx\) [366]
  3.4.67 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^n}}{c^2 x^2} \, dx\) [367]
  3.4.68 \(\int \genfrac {}{}{}{}{\sqrt {a x+b x^n}}{(c x)^{3/2}} \, dx\) [368]
  3.4.69 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{c x} \, dx\) [369]
  3.4.70 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x}+b x^n}}{\sqrt {c x}} \, dx\) [370]
  3.4.71 \(\int \sqrt {\genfrac {}{}{}{}{a}{x^2}+b x^n} \, dx\) [371]
  3.4.72 \(\int \sqrt {c x} \sqrt {\genfrac {}{}{}{}{a}{x^3}+b x^n} \, dx\) [372]
  3.4.73 \(\int (c x)^{-1-\genfrac {}{}{}{}{3 j}{2}} (a x^j+b x^n)^{3/2} \, dx\) [373]
  3.4.74 \(\int \genfrac {}{}{}{}{(a x^3+b x^n)^{3/2}}{(c x)^{11/2}} \, dx\) [374]
  3.4.75 \(\int \genfrac {}{}{}{}{(a x^2+b x^n)^{3/2}}{c^4 x^4} \, dx\) [375]
  3.4.76 \(\int \genfrac {}{}{}{}{(a x+b x^n)^{3/2}}{(c x)^{5/2}} \, dx\) [376]
  3.4.77 \(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{c x} \, dx\) [377]
  3.4.78 \(\int \sqrt {c x} (\genfrac {}{}{}{}{a}{x}+b x^n)^{3/2} \, dx\) [378]
  3.4.79 \(\int c^2 x^2 (\genfrac {}{}{}{}{a}{x^2}+b x^n)^{3/2} \, dx\) [379]
  3.4.80 \(\int (c x)^{7/2} (\genfrac {}{}{}{}{a}{x^3}+b x^n)^{3/2} \, dx\) [380]
  3.4.81 \(\int c^5 x^5 (\genfrac {}{}{}{}{a}{x^4}+b x^n)^{3/2} \, dx\) [381]
  3.4.82 \(\int \sqrt {\genfrac {}{}{}{}{a+b x}{x^2}} \, dx\) [382]
  3.4.83 \(\int \sqrt {\genfrac {}{}{}{}{a+b x^2}{x^2}} \, dx\) [383]
  3.4.84 \(\int \sqrt {\genfrac {}{}{}{}{a+b x^3}{x^2}} \, dx\) [384]
  3.4.85 \(\int \sqrt {\genfrac {}{}{}{}{a+b x^n}{x^2}} \, dx\) [385]
  3.4.86 \(\int \sqrt {\genfrac {}{}{}{}{-a+b x}{x^2}} \, dx\) [386]
  3.4.87 \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^2}{x^2}} \, dx\) [387]
  3.4.88 \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^3}{x^2}} \, dx\) [388]
  3.4.89 \(\int \sqrt {\genfrac {}{}{}{}{-a+b x^n}{x^2}} \, dx\) [389]
  3.4.90 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{j}{2}}}{\sqrt {a x^j+b x^n}} \, dx\) [390]
  3.4.91 \(\int \genfrac {}{}{}{}{\sqrt {c x}}{\sqrt {a x^3+b x^n}} \, dx\) [391]
  3.4.92 \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^2+b x^n}} \, dx\) [392]
  3.4.93 \(\int \genfrac {}{}{}{}{1}{\sqrt {c x} \sqrt {a x+b x^n}} \, dx\) [393]
  3.4.94 \(\int \genfrac {}{}{}{}{1}{c x \sqrt {a+b x^n}} \, dx\) [394]
  3.4.95 \(\int \genfrac {}{}{}{}{1}{(c x)^{3/2} \sqrt {\genfrac {}{}{}{}{a}{x}+b x^n}} \, dx\) [395]
  3.4.96 \(\int \genfrac {}{}{}{}{1}{c^2 x^2 \sqrt {\genfrac {}{}{}{}{a}{x^2}+b x^n}} \, dx\) [396]
  3.4.97 \(\int \genfrac {}{}{}{}{1}{(c x)^{5/2} \sqrt {\genfrac {}{}{}{}{a}{x^3}+b x^n}} \, dx\) [397]
  3.4.98 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{3 j}{2}}}{(a x^j+b x^n)^{3/2}} \, dx\) [398]
  3.4.99 \(\int \genfrac {}{}{}{}{(c x)^{7/2}}{(a x^3+b x^n)^{3/2}} \, dx\) [399]
  3.4.100 \(\int \genfrac {}{}{}{}{c^2 x^2}{(a x^2+b x^n)^{3/2}} \, dx\) [400]