3.5.1 \(\int \genfrac {}{}{}{}{1}{x^2 (1-3 x^4+x^8)} \, dx\) [401]
  3.5.2 \(\int \genfrac {}{}{}{}{1}{x^4 (1-3 x^4+x^8)} \, dx\) [402]
  3.5.3 \(\int \genfrac {}{}{}{}{1}{x^6 (1-3 x^4+x^8)} \, dx\) [403]
  3.5.4 \(\int \genfrac {}{}{}{}{1}{x^8 (1-3 x^4+x^8)} \, dx\) [404]
  3.5.5 \(\int \genfrac {}{}{}{}{x^3}{2+3 x^4+x^8} \, dx\) [405]
  3.5.6 \(\int \genfrac {}{}{}{}{x^{11}}{2+3 x^4+x^8} \, dx\) [406]
  3.5.7 \(\int \genfrac {}{}{}{}{x^9}{2+x^5+x^{10}} \, dx\) [407]
  3.5.8 \(\int \genfrac {}{}{}{}{x^4}{2+x^5+x^{10}} \, dx\) [408]
  3.5.9 \(\int \genfrac {}{}{}{}{1}{x (1+x^5+x^{10})} \, dx\) [409]
  3.5.10 \(\int \genfrac {}{}{}{}{1}{x^6 (1+x^5+x^{10})} \, dx\) [410]
  3.5.11 \(\int \genfrac {}{}{}{}{1}{x+x^6+x^{11}} \, dx\) [411]
  3.5.12 \(\int \genfrac {}{}{}{}{x^3}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [412]
  3.5.13 \(\int \genfrac {}{}{}{}{x^2}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [413]
  3.5.14 \(\int \genfrac {}{}{}{}{x}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [414]
  3.5.15 \(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [415]
  3.5.16 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x} \, dx\) [416]
  3.5.17 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^2} \, dx\) [417]
  3.5.18 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^3} \, dx\) [418]
  3.5.19 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^4} \, dx\) [419]
  3.5.20 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^5} \, dx\) [420]
  3.5.21 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^6} \, dx\) [421]
  3.5.22 \(\int \genfrac {}{}{}{}{x}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [422]
  3.5.23 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [423]
  3.5.24 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x} \, dx\) [424]
  3.5.25 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^2} \, dx\) [425]
  3.5.26 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^3} \, dx\) [426]
  3.5.27 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^4} \, dx\) [427]
  3.5.28 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^5} \, dx\) [428]
  3.5.29 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^6} \, dx\) [429]
  3.5.30 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^7} \, dx\) [430]
  3.5.31 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [431]
  3.5.32 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x} \, dx\) [432]
  3.5.33 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^2} \, dx\) [433]
  3.5.34 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^3} \, dx\) [434]
  3.5.35 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^4} \, dx\) [435]
  3.5.36 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^5} \, dx\) [436]
  3.5.37 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^6} \, dx\) [437]
  3.5.38 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^7} \, dx\) [438]
  3.5.39 \(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^8} \, dx\) [439]
  3.5.40 \(\int \genfrac {}{}{}{}{x^2}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [440]
  3.5.41 \(\int \genfrac {}{}{}{}{x}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [441]
  3.5.42 \(\int \genfrac {}{}{}{}{1}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [442]
  3.5.43 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x} \, dx\) [443]
  3.5.44 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^2} \, dx\) [444]
  3.5.45 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^3} \, dx\) [445]
  3.5.46 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^4} \, dx\) [446]
  3.5.47 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^5} \, dx\) [447]
  3.5.48 \(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^6} \, dx\) [448]
  3.5.49 \(\int (a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{5/2} \, dx\) [449]
  3.5.50 \(\int (a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{3/2} \, dx\) [450]
  3.5.51 \(\int \sqrt {a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [451]
  3.5.52 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}}} \, dx\) [452]
  3.5.53 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [453]
  3.5.54 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [454]
  3.5.55 \(\int \sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^2}+\genfrac {}{}{}{}{2 a b}{x}} \, dx\) [455]
  3.5.56 \(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^4}+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [456]
  3.5.57 \(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^6}+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [457]
  3.5.58 \(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^8}+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [458]
  3.5.59 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {x}+c x}}{x} \, dx\) [459]
  3.5.60 \(\int (\genfrac {}{}{}{}{b^2}{4 c}+b \sqrt {x}+c x)^2 \, dx\) [460]
  3.5.61 \(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b \sqrt {x}+b^2 x}} \, dx\) [461]
  3.5.62 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2} \, dx\) [462]
  3.5.63 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2} \, dx\) [463]
  3.5.64 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2} \, dx\) [464]
  3.5.65 \(\int \sqrt {a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}} \, dx\) [465]
  3.5.66 \(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}}} \, dx\) [466]
  3.5.67 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2}} \, dx\) [467]
  3.5.68 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2}} \, dx\) [468]
  3.5.69 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2}} \, dx\) [469]
  3.5.70 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{9/2}} \, dx\) [470]
  3.5.71 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{11/2}} \, dx\) [471]
  3.5.72 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p (d x)^m \, dx\) [472]
  3.5.73 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x^2 \, dx\) [473]
  3.5.74 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x \, dx\) [474]
  3.5.75 \(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p \, dx\) [475]
  3.5.76 \(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x} \, dx\) [476]
  3.5.77 \(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2} \, dx\) [477]
  3.5.78 \(\int (\genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2}-\genfrac {}{}{}{}{2 b^3 (1-2 p) (1-p) p (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{3 a^3 x}) \, dx\) [478]
  3.5.79 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [4]{x}+b^2 \sqrt {x})^{3/2}} \, dx\) [479]
  3.5.80 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [6]{x}+b^2 \sqrt [3]{x})^{5/2}} \, dx\) [480]
  3.5.81 \(\int (a^2+\genfrac {}{}{}{}{b^2}{x}+\genfrac {}{}{}{}{2 a b}{\sqrt {x}})^{3/2} \, dx\) [481]
  3.5.82 \(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{7/2} \, dx\) [482]
  3.5.83 \(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{5/2} \, dx\) [483]
  3.5.84 \(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{3/2} \, dx\) [484]
  3.5.85 \(\int \sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}}} \, dx\) [485]
  3.5.86 \(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}}}} \, dx\) [486]
  3.5.87 \(\int \genfrac {}{}{}{}{1}{(a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{3/2}} \, dx\) [487]
  3.5.88 \(\int \genfrac {}{}{}{}{1}{(a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{5/2}} \, dx\) [488]
  3.5.89 \(\int (a^2+\genfrac {}{}{}{}{b^2}{\sqrt {x}}+\genfrac {}{}{}{}{2 a b}{\sqrt [4]{x}})^{5/2} \, dx\) [489]
  3.5.90 \(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/5}}+\genfrac {}{}{}{}{2 a b}{\sqrt [5]{x}})^{5/2} \, dx\) [490]
  3.5.91 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [5]{x}+b^2 x^{2/5})^{5/2}} \, dx\) [491]
  3.5.92 \(\int (a^2+\genfrac {}{}{}{}{b^2}{\sqrt [3]{x}}+\genfrac {}{}{}{}{2 a b}{\sqrt [6]{x}})^{7/2} \, dx\) [492]
  3.5.93 \(\int \genfrac {}{}{}{}{x^{-1+4 n}}{b x^n+c x^{2 n}} \, dx\) [493]
  3.5.94 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{b x^n+c x^{2 n}} \, dx\) [494]
  3.5.95 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{b x^n+c x^{2 n}} \, dx\) [495]
  3.5.96 \(\int \genfrac {}{}{}{}{x^{-1+n}}{b x^n+c x^{2 n}} \, dx\) [496]
  3.5.97 \(\int \genfrac {}{}{}{}{x^{-1-n}}{b x^n+c x^{2 n}} \, dx\) [497]
  3.5.98 \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{b x^n+c x^{2 n}} \, dx\) [498]
  3.5.99 \(\int \genfrac {}{}{}{}{x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx\) [499]
  3.5.100 \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}}}{b x^n+c x^{2 n}} \, dx\) [500]