3.6.1 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^2} \, dx\) [501]
  3.6.2 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^3} \, dx\) [502]
  3.6.3 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^4} \, dx\) [503]
  3.6.4 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^5} \, dx\) [504]
  3.6.5 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^6} \, dx\) [505]
  3.6.6 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^7} \, dx\) [506]
  3.6.7 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^8} \, dx\) [507]
  3.6.8 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^9} \, dx\) [508]
  3.6.9 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) \sqrt {a+b x^4}}{x^{10}} \, dx\) [509]
  3.6.10 \(\int x^4 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\) [510]
  3.6.11 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\) [511]
  3.6.12 \(\int x^2 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\) [512]
  3.6.13 \(\int x (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\) [513]
  3.6.14 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\) [514]
  3.6.15 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x} \, dx\) [515]
  3.6.16 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^2} \, dx\) [516]
  3.6.17 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^3} \, dx\) [517]
  3.6.18 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^4} \, dx\) [518]
  3.6.19 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^5} \, dx\) [519]
  3.6.20 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^6} \, dx\) [520]
  3.6.21 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^7} \, dx\) [521]
  3.6.22 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^8} \, dx\) [522]
  3.6.23 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^9} \, dx\) [523]
  3.6.24 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{10}} \, dx\) [524]
  3.6.25 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{11}} \, dx\) [525]
  3.6.26 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{12}} \, dx\) [526]
  3.6.27 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{13}} \, dx\) [527]
  3.6.28 \(\int \genfrac {}{}{}{}{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{14}} \, dx\) [528]
  3.6.29 \(\int \genfrac {}{}{}{}{x^4 (c+d x+e x^2+f x^3)}{\sqrt {a+b x^4}} \, dx\) [529]
  3.6.30 \(\int \genfrac {}{}{}{}{x^3 (c+d x+e x^2+f x^3)}{\sqrt {a+b x^4}} \, dx\) [530]
  3.6.31 \(\int \genfrac {}{}{}{}{x^2 (c+d x+e x^2+f x^3)}{\sqrt {a+b x^4}} \, dx\) [531]
  3.6.32 \(\int \genfrac {}{}{}{}{x (c+d x+e x^2+f x^3)}{\sqrt {a+b x^4}} \, dx\) [532]
  3.6.33 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{\sqrt {a+b x^4}} \, dx\) [533]
  3.6.34 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x \sqrt {a+b x^4}} \, dx\) [534]
  3.6.35 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^2 \sqrt {a+b x^4}} \, dx\) [535]
  3.6.36 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^3 \sqrt {a+b x^4}} \, dx\) [536]
  3.6.37 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^4 \sqrt {a+b x^4}} \, dx\) [537]
  3.6.38 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^5 \sqrt {a+b x^4}} \, dx\) [538]
  3.6.39 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^6 \sqrt {a+b x^4}} \, dx\) [539]
  3.6.40 \(\int \genfrac {}{}{}{}{x^6 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [540]
  3.6.41 \(\int \genfrac {}{}{}{}{x^5 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [541]
  3.6.42 \(\int \genfrac {}{}{}{}{x^4 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [542]
  3.6.43 \(\int \genfrac {}{}{}{}{x^3 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [543]
  3.6.44 \(\int \genfrac {}{}{}{}{x^2 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [544]
  3.6.45 \(\int \genfrac {}{}{}{}{x (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\) [545]
  3.6.46 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{(a+b x^4)^{3/2}} \, dx\) [546]
  3.6.47 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x (a+b x^4)^{3/2}} \, dx\) [547]
  3.6.48 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^2 (a+b x^4)^{3/2}} \, dx\) [548]
  3.6.49 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^3 (a+b x^4)^{3/2}} \, dx\) [549]
  3.6.50 \(\int \genfrac {}{}{}{}{c+d x+e x^2+f x^3}{x^4 (a+b x^4)^{3/2}} \, dx\) [550]
  3.6.51 \(\int (g x)^m (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\) [551]
  3.6.52 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\) [552]
  3.6.53 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\) [553]
  3.6.54 \(\int \genfrac {}{}{}{}{1+x+x^2+x^3+x^4}{1-x^5} \, dx\) [554]
  3.6.55 \(\int \genfrac {}{}{}{}{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{729-64 x^6} \, dx\) [555]
  3.6.56 \(\int \genfrac {}{}{}{}{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{729-64 x^6} \, dx\) [556]
  3.6.57 \(\int \genfrac {}{}{}{}{81+36 x^2+16 x^4}{729-64 x^6} \, dx\) [557]
  3.6.58 \(\int \genfrac {}{}{}{}{81+54 x-24 x^3-16 x^4}{729-64 x^6} \, dx\) [558]
  3.6.59 \(\int \genfrac {}{}{}{}{3-2 x}{729-64 x^6} \, dx\) [559]
  3.6.60 \(\int \genfrac {}{}{}{}{3+2 x}{729-64 x^6} \, dx\) [560]
  3.6.61 \(\int \genfrac {}{}{}{}{9-6 x+4 x^2}{729-64 x^6} \, dx\) [561]
  3.6.62 \(\int \genfrac {}{}{}{}{9+6 x+4 x^2}{729-64 x^6} \, dx\) [562]
  3.6.63 \(\int \genfrac {}{}{}{}{27-8 x^3}{729-64 x^6} \, dx\) [563]
  3.6.64 \(\int \genfrac {}{}{}{}{27+36 x+24 x^2+8 x^3}{729-64 x^6} \, dx\) [564]
  3.6.65 \(\int \genfrac {}{}{}{}{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{(729-64 x^6)^2} \, dx\) [565]
  3.6.66 \(\int \genfrac {}{}{}{}{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{(729-64 x^6)^2} \, dx\) [566]
  3.6.67 \(\int \genfrac {}{}{}{}{81+36 x^2+16 x^4}{(729-64 x^6)^2} \, dx\) [567]
  3.6.68 \(\int \genfrac {}{}{}{}{81+54 x-24 x^3-16 x^4}{(729-64 x^6)^2} \, dx\) [568]
  3.6.69 \(\int \genfrac {}{}{}{}{3-2 x}{(729-64 x^6)^2} \, dx\) [569]
  3.6.70 \(\int \genfrac {}{}{}{}{3+2 x}{(729-64 x^6)^2} \, dx\) [570]
  3.6.71 \(\int \genfrac {}{}{}{}{9-6 x+4 x^2}{(729-64 x^6)^2} \, dx\) [571]
  3.6.72 \(\int \genfrac {}{}{}{}{9+6 x+4 x^2}{(729-64 x^6)^2} \, dx\) [572]
  3.6.73 \(\int \genfrac {}{}{}{}{27-8 x^3}{(729-64 x^6)^2} \, dx\) [573]
  3.6.74 \(\int \genfrac {}{}{}{}{27+36 x+24 x^2+8 x^3}{(729-64 x^6)^2} \, dx\) [574]
  3.6.75 \(\int \genfrac {}{}{}{}{x (27-2 x^3)}{729-64 x^6} \, dx\) [575]
  3.6.76 \(\int \genfrac {}{}{}{}{(c x)^m (d+e x^n+f x^{2 n}+g x^{3 n})}{a+b x^n} \, dx\) [576]
  3.6.77 \(\int (c+d x^{-1+n}) (a+b x^n)^3 \, dx\) [577]
  3.6.78 \(\int (c+d x^{-1+n}) (a+b x^n)^2 \, dx\) [578]
  3.6.79 \(\int (c+d x^{-1+n}) (a+b x^n) \, dx\) [579]
  3.6.80 \(\int (c+d x^{-1+n}) \, dx\) [580]
  3.6.81 \(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{a+b x^n} \, dx\) [581]
  3.6.82 \(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{(a+b x^n)^2} \, dx\) [582]
  3.6.83 \(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{(a+b x^n)^3} \, dx\) [583]
  3.6.84 \(\int \genfrac {}{}{}{}{(c x)^m (d+e x^n+f x^{2 n}+g x^{3 n})}{\sqrt {a+b x^n}} \, dx\) [584]
  3.6.85 \(\int \genfrac {}{}{}{}{-a h x^{-1+\genfrac {}{}{}{}{n}{4}}+b f x^{-1+\genfrac {}{}{}{}{n}{2}}+b g x^{-1+n}+b h x^{-1+\genfrac {}{}{}{}{5 n}{4}}}{(a+b x^n)^{3/2}} \, dx\) [585]
  3.6.86 \(\int (c x)^m (d+e x+f x^2+g x^3) (a+b x^n)^p \, dx\) [586]
  3.6.87 \(\int (c x)^m (a+b x^n)^p (d+e x^n+f x^{2 n}+g x^{3 n}) \, dx\) [587]
  3.6.88 \(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n+f x^{3 n/2}}{(a+b x^n)^2} \, dx\) [588]
  3.6.89 \(\int \genfrac {}{}{}{}{a c+2 (b c+a d) x^2+3 b d x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [589]
  3.6.90 \(\int \genfrac {}{}{}{}{1+x^3}{(1-x^4) \sqrt [4]{1+x^4}} \, dx\) [590]
  3.6.91 \(\int (a+b x^n)^{\genfrac {}{}{}{}{-1-n}{n}} (c+d x^n)^{\genfrac {}{}{}{}{-1-n}{n}} (a c-b d x^{2 n}) \, dx\) [591]
  3.6.92 \(\int (h x)^{-1-n-n p} (a+b x^n)^p (c+d x^n)^p (a c-b d x^{2 n}) \, dx\) [592]
  3.6.93 \(\int (a+b x^n)^p (c+d x^n)^p (e+\genfrac {}{}{}{}{(b c+a d) e (1+n+n p) x^n}{a c}+\genfrac {}{}{}{}{b d e (1+2 n+2 n p) x^{2 n}}{a c}) \, dx\) [593]
  3.6.94 \(\int (h x)^m (a+b x^n)^p (c+d x^n)^p (e+\genfrac {}{}{}{}{(b c+a d) e (1+m+n+n p) x^n}{a c (1+m)}+\genfrac {}{}{}{}{b d e (1+m+2 n+2 n p) x^{2 n}}{a c (1+m)}) \, dx\) [594]