3.4.1 \(\int \genfrac {}{}{}{}{c+d x^n}{a+b x^n} \, dx\) [301]
  3.4.2 \(\int \genfrac {}{}{}{}{1}{(a+b x^n) (c+d x^n)} \, dx\) [302]
  3.4.3 \(\int \genfrac {}{}{}{}{1}{(a+b x^n) (c+d x^n)^2} \, dx\) [303]
  3.4.4 \(\int \genfrac {}{}{}{}{1}{(a+b x^n) (c+d x^n)^3} \, dx\) [304]
  3.4.5 \(\int \genfrac {}{}{}{}{(c+d x^n)^4}{(a+b x^n)^2} \, dx\) [305]
  3.4.6 \(\int \genfrac {}{}{}{}{(c+d x^n)^3}{(a+b x^n)^2} \, dx\) [306]
  3.4.7 \(\int \genfrac {}{}{}{}{(c+d x^n)^2}{(a+b x^n)^2} \, dx\) [307]
  3.4.8 \(\int \genfrac {}{}{}{}{c+d x^n}{(a+b x^n)^2} \, dx\) [308]
  3.4.9 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2 (c+d x^n)} \, dx\) [309]
  3.4.10 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2 (c+d x^n)^2} \, dx\) [310]
  3.4.11 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2 (c+d x^n)^3} \, dx\) [311]
  3.4.12 \(\int (a+b x^n)^p (c+d x^n)^q \, dx\) [312]
  3.4.13 \(\int (a+b x^n)^p (c+d x^n)^3 \, dx\) [313]
  3.4.14 \(\int (a+b x^n)^p (c+d x^n)^2 \, dx\) [314]
  3.4.15 \(\int (a+b x^n)^p (c+d x^n) \, dx\) [315]
  3.4.16 \(\int (a+b x^n)^p \, dx\) [316]
  3.4.17 \(\int \genfrac {}{}{}{}{(a+b x^n)^p}{c+d x^n} \, dx\) [317]
  3.4.18 \(\int \genfrac {}{}{}{}{(a+b x^n)^p}{(c+d x^n)^2} \, dx\) [318]
  3.4.19 \(\int \genfrac {}{}{}{}{(a+b x^n)^p}{(c+d x^n)^3} \, dx\) [319]
  3.4.20 \(\int (a+b x^n)^p (c+d x^n)^{-1-\genfrac {}{}{}{}{1}{n}-p} \, dx\) [320]
  3.4.21 \(\int (a+b x^n)^3 (c+d x^n)^{-4-\genfrac {}{}{}{}{1}{n}} \, dx\) [321]
  3.4.22 \(\int (a+b x^n)^2 (c+d x^n)^{-3-\genfrac {}{}{}{}{1}{n}} \, dx\) [322]
  3.4.23 \(\int (a+b x^n) (c+d x^n)^{-2-\genfrac {}{}{}{}{1}{n}} \, dx\) [323]
  3.4.24 \(\int (c+d x^n)^{-1-\genfrac {}{}{}{}{1}{n}} \, dx\) [324]
  3.4.25 \(\int \genfrac {}{}{}{}{(c+d x^n)^{-1/n}}{a+b x^n} \, dx\) [325]
  3.4.26 \(\int \genfrac {}{}{}{}{(c+d x^n)^{1-\genfrac {}{}{}{}{1}{n}}}{(a+b x^n)^2} \, dx\) [326]
  3.4.27 \(\int \genfrac {}{}{}{}{(c+d x^n)^{2-\genfrac {}{}{}{}{1}{n}}}{(a+b x^n)^3} \, dx\) [327]
  3.4.28 \(\int (a+b x^n)^p (c+d x^n)^{-2-\genfrac {}{}{}{}{1}{n}-p} \, dx\) [328]
  3.4.29 \(\int (a+b x^n)^{\genfrac {}{}{}{}{a d n-b c (1+n)}{(b c-a d) n}} (c+d x^n)^{\genfrac {}{}{}{}{a d-b c n+a d n}{b c n-a d n}} \, dx\) [329]
  3.4.30 \(\int (a+b x^n)^2 (c+d x^n)^{-4-\genfrac {}{}{}{}{1}{n}} \, dx\) [330]
  3.4.31 \(\int (a+b x^n) (c+d x^n)^{-3-\genfrac {}{}{}{}{1}{n}} \, dx\) [331]
  3.4.32 \(\int (c+d x^n)^{-2-\genfrac {}{}{}{}{1}{n}} \, dx\) [332]
  3.4.33 \(\int \genfrac {}{}{}{}{(c+d x^n)^{-1-\genfrac {}{}{}{}{1}{n}}}{a+b x^n} \, dx\) [333]
  3.4.34 \(\int \genfrac {}{}{}{}{(c+d x^n)^{-1/n}}{(a+b x^n)^2} \, dx\) [334]
  3.4.35 \(\int \genfrac {}{}{}{}{(c+d x^n)^{1-\genfrac {}{}{}{}{1}{n}}}{(a+b x^n)^3} \, dx\) [335]
  3.4.36 \(\int \genfrac {}{}{}{}{(c+d x^n)^{2-\genfrac {}{}{}{}{1}{n}}}{(a+b x^n)^4} \, dx\) [336]
  3.4.37 \(\int x^5 \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [337]
  3.4.38 \(\int x^3 \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [338]
  3.4.39 \(\int x \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [339]
  3.4.40 \(\int \genfrac {}{}{}{}{\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x} \, dx\) [340]
  3.4.41 \(\int \genfrac {}{}{}{}{\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^3} \, dx\) [341]
  3.4.42 \(\int \genfrac {}{}{}{}{\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^5} \, dx\) [342]
  3.4.43 \(\int x^4 \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [343]
  3.4.44 \(\int x^2 \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [344]
  3.4.45 \(\int \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\) [345]
  3.4.46 \(\int \genfrac {}{}{}{}{\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^2} \, dx\) [346]
  3.4.47 \(\int \genfrac {}{}{}{}{\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^4} \, dx\) [347]
  3.4.48 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [348]
  3.4.49 \(\int \genfrac {}{}{}{}{x^3 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [349]
  3.4.50 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [350]
  3.4.51 \(\int \genfrac {}{}{}{}{x (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [351]
  3.4.52 \(\int \genfrac {}{}{}{}{a+b x^2}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [352]
  3.4.53 \(\int \genfrac {}{}{}{}{a+b x^2}{x \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [353]
  3.4.54 \(\int \genfrac {}{}{}{}{a+b x^2}{x^2 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [354]
  3.4.55 \(\int \genfrac {}{}{}{}{a+b x^2}{x^3 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [355]
  3.4.56 \(\int \genfrac {}{}{}{}{a+b x^2}{x^4 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [356]
  3.4.57 \(\int \genfrac {}{}{}{}{a+b x^2}{x^5 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [357]
  3.4.58 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [358]
  3.4.59 \(\int \genfrac {}{}{}{}{x^3 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [359]
  3.4.60 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [360]
  3.4.61 \(\int \genfrac {}{}{}{}{x (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [361]
  3.4.62 \(\int \genfrac {}{}{}{}{a+b x^2}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [362]
  3.4.63 \(\int \genfrac {}{}{}{}{a+b x^2}{x \sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [363]
  3.4.64 \(\int \genfrac {}{}{}{}{a+b x^2}{x^2 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [364]
  3.4.65 \(\int \genfrac {}{}{}{}{a+b x^2}{x^3 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [365]
  3.4.66 \(\int \genfrac {}{}{}{}{a+b x^2}{x^4 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [366]
  3.4.67 \(\int \genfrac {}{}{}{}{a+b x^2}{x^5 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\) [367]
  3.4.68 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [368]
  3.4.69 \(\int \genfrac {}{}{}{}{x^3 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [369]
  3.4.70 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [370]
  3.4.71 \(\int \genfrac {}{}{}{}{x (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [371]
  3.4.72 \(\int \genfrac {}{}{}{}{a+b x^2}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [372]
  3.4.73 \(\int \genfrac {}{}{}{}{a+b x^2}{x (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [373]
  3.4.74 \(\int \genfrac {}{}{}{}{a+b x^2}{x^2 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [374]
  3.4.75 \(\int \genfrac {}{}{}{}{a+b x^2}{x^3 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [375]
  3.4.76 \(\int \genfrac {}{}{}{}{a+b x^2}{x^4 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [376]
  3.4.77 \(\int \genfrac {}{}{}{}{a+b x^2}{x^5 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\) [377]
  3.4.78 \(\int \genfrac {}{}{}{}{1+c^2 x^2}{x \sqrt {-1+c x} \sqrt {1+c x}} \, dx\) [378]
  3.4.79 \(\int \genfrac {}{}{}{}{x^{-\genfrac {}{}{}{}{2 b^2 c+a^2 d}{b^2 c+a^2 d}} (c+d x^2)}{\sqrt {-a+b x} \sqrt {a+b x}} \, dx\) [379]
  3.4.80 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\sqrt {x}} \sqrt {-1+\sqrt {x}} \sqrt {1+x}} \, dx\) [380]
  3.4.81 \(\int \genfrac {}{}{}{}{1}{\sqrt {a-b \sqrt {x}} \sqrt {a+b \sqrt {x}} \sqrt {a^2+b^2 x}} \, dx\) [381]
  3.4.82 \(\int (a-b x^n)^p (a+b x^n)^p (c+d x^{2 n})^q \, dx\) [382]
  3.4.83 \(\int (a-b x^n)^p (a+b x^n)^p (a^2+b^2 x^{2 n})^p \, dx\) [383]
  3.4.84 \(\int \genfrac {}{}{}{}{(c+d x^{2 n})^p}{(a-b x^n) (a+b x^n)} \, dx\) [384]
  3.4.85 \(\int (a-b x^{n/2})^p (a+b x^{n/2})^p (\genfrac {}{}{}{}{a^2 d (1+p)}{b^2 (1+\genfrac {}{}{}{}{-1-2 n-n p}{n})}+d x^n)^{\genfrac {}{}{}{}{-1-2 n-n p}{n}} \, dx\) [385]