3.2 Integrals 101 to 200

  3.2.1 \(\int \frac {\sqrt [3]{-1+x^6}}{x^9} \, dx\)
  3.2.2 \(\int \frac {\sqrt {-1+x^6}}{x^{10}} \, dx\)
  3.2.3 \(\int \frac {1}{x^4 \sqrt {1+x^6}} \, dx\)
  3.2.4 \(\int \frac {1}{x^5 \sqrt [3]{1+x^6}} \, dx\)
  3.2.5 \(\int \frac {-2+x^6}{x^4 \sqrt [4]{1+x^6}} \, dx\)
  3.2.6 \(\int \frac {\sqrt {1+x^6}}{x^{10}} \, dx\)
  3.2.7 \(\int \frac {(-2+x^6) (1+x^6)^{3/4}}{x^8} \, dx\)
  3.2.8 \(\int \frac {\sqrt [3]{-1+x^6} (1+x^6)}{x^5} \, dx\)
  3.2.9 \(\int \frac {2+x^6}{x^4 \sqrt [4]{-1+x^6}} \, dx\)
  3.2.10 \(\int \frac {(-1+x^6)^{3/4} (2+x^6)}{x^8} \, dx\)
  3.2.11 \(\int \frac {-3+2 x^5}{x^3 \sqrt [4]{x+x^6}} \, dx\)
  3.2.12 \(\int \frac {\sqrt [3]{x+x^4} (-2-x^3+x^6)}{x^6} \, dx\)
  3.2.13 \(\int \frac {x (2+x^6)}{\sqrt {-1+x^6} (-1-x^4+x^6)} \, dx\)
  3.2.14 \(\int \frac {-1+x^8}{x^4 \sqrt {-1+x^4}} \, dx\)
  3.2.15 \(\int \frac {(-1+x^8) \sqrt {1+x^8}}{x^7} \, dx\)
  3.2.16 \(\int \frac {2+x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\)
  3.2.17 \(\int \frac {-1+x^2}{(1+x^2) \sqrt {1+x^2+x^4}} \, dx\)
  3.2.18 \(\int \frac {-1+x^4}{(1+x^4) \sqrt {1+x^2+x^4}} \, dx\)
  3.2.19 \(\int \frac {-1+2 x^2+2 x^4}{(1+2 x^2) \sqrt {-1+x^6}} \, dx\)
  3.2.20 \(\int \frac {x^3}{(-1+x^2)^{3/4}} \, dx\)
  3.2.21 \(\int \frac {3+x}{(-1+x)^2 \sqrt [3]{-1+x^2}} \, dx\)
  3.2.22 \(\int \frac {x^3}{(1+x^2)^{2/3}} \, dx\)
  3.2.23 \(\int \frac {1}{x^2 \sqrt [3]{-x+x^3}} \, dx\)
  3.2.24 \(\int \frac {\sqrt [3]{-x+x^3}}{x^4} \, dx\)
  3.2.25 \(\int \frac {-1+x^2}{(1+x^2) \sqrt {x+x^3}} \, dx\)
  3.2.26 \(\int \frac {1}{x \sqrt [3]{x^2+x^3}} \, dx\)
  3.2.27 \(\int \frac {2+x}{x^2 \sqrt [4]{x^2+x^3}} \, dx\)
  3.2.28 \(\int \frac {(-2 b+a x^3) \sqrt {b+a x^3}}{x^4} \, dx\)
  3.2.29 \(\int \frac {1+x+x^2}{(-1+x)^2 \sqrt {-1+x^4}} \, dx\)
  3.2.30 \(\int \frac {-1+x^4}{x^2 \sqrt {-x+x^3}} \, dx\)
  3.2.31 \(\int \frac {1}{x^2 \sqrt {-x+x^4}} \, dx\)
  3.2.32 \(\int \frac {1}{x^3 \sqrt [4]{-x+x^4}} \, dx\)
  3.2.33 \(\int \frac {-1+x^3}{x^6 \sqrt [4]{-x+x^4}} \, dx\)
  3.2.34 \(\int \frac {\sqrt [4]{-x+x^4}}{x^5} \, dx\)
  3.2.35 \(\int \frac {(2+x^3) \sqrt [3]{-x+x^4}}{(-1+x^3)^2} \, dx\)
  3.2.36 \(\int \frac {\sqrt {-x+x^4}}{x^6} \, dx\)
  3.2.37 \(\int \frac {x}{\sqrt {x+x^4}} \, dx\)
  3.2.38 \(\int \frac {-2+x^3}{(1+x^3) \sqrt [3]{x+x^4}} \, dx\)
  3.2.39 \(\int \frac {-1+x^2}{x \sqrt [3]{x^2+x^4}} \, dx\)
  3.2.40 \(\int \frac {1}{x^2 \sqrt [4]{x^2+x^4}} \, dx\)
  3.2.41 \(\int \frac {\sqrt [4]{x^2+x^4}}{x^4} \, dx\)
  3.2.42 \(\int \frac {(-1+x^2) \sqrt [3]{x^2+x^4}}{x^3} \, dx\)
  3.2.43 \(\int \frac {1}{x \sqrt [4]{x^3+x^4}} \, dx\)
  3.2.44 \(\int \frac {(1+x) \sqrt [4]{x^3+x^4}}{x^4} \, dx\)
  3.2.45 \(\int \frac {-2-x+2 x^4}{(1+x+x^4) \sqrt {1+x+x^2+x^4}} \, dx\)
  3.2.46 \(\int \frac {3+x^4}{x^3 \sqrt [4]{-x+x^5}} \, dx\)
  3.2.47 \(\int \frac {(-1+x^4) (3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\)
  3.2.48 \(\int \frac {-3+x^4}{(1+x^4) \sqrt [4]{x+x^5}} \, dx\)
  3.2.49 \(\int \frac {(-1+2 x^3) \sqrt [3]{x^2+x^5}}{x^3} \, dx\)
  3.2.50 \(\int \frac {-1+x^2}{x \sqrt [4]{x^3+x^5}} \, dx\)
  3.2.51 \(\int \frac {(-1+x^4) \sqrt [4]{x^3+x^5}}{x^4} \, dx\)
  3.2.52 \(\int \frac {x^2}{\sqrt {-1+x^6}} \, dx\)
  3.2.53 \(\int \frac {x^2}{\sqrt {1+x^6}} \, dx\)
  3.2.54 \(\int \frac {(-1+x^5) (3+2 x^5)}{x^6 \sqrt [4]{-x+x^6}} \, dx\)
  3.2.55 \(\int \frac {1}{x^3 \sqrt [3]{x^2+x^6}} \, dx\)
  3.2.56 \(\int \frac {-1+x^4}{x^2 \sqrt [4]{x^2+x^6}} \, dx\)
  3.2.57 \(\int \frac {(-1+x^4) \sqrt [4]{x^2+x^6}}{x^4} \, dx\)
  3.2.58 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{\sqrt {1+x^2}} \, dx\)
  3.2.59 \(\int \frac {-2-2 x+x^2}{(1+x+x^2) \sqrt {-1+x^3}} \, dx\)
  3.2.60 \(\int \frac {b+a x^2}{x \sqrt {-b x+a x^3}} \, dx\)
  3.2.61 \(\int \frac {-1-2 x+2 x^2}{(1+2 x^2) \sqrt {x+x^4}} \, dx\)
  3.2.62 \(\int \frac {1+x^4}{(-1+x^4) \sqrt {-1-x^2+x^4}} \, dx\)
  3.2.63 \(\int \frac {x}{\sqrt [5]{1-4 x+6 x^2-4 x^3+x^4}} \, dx\)
  3.2.64 \(\int \frac {-2+x^6}{x^4 \sqrt [4]{1+x^4+x^6}} \, dx\)
  3.2.65 \(\int \frac {1+x^8}{x^4 \sqrt [4]{-1+x^4+x^8}} \, dx\)
  3.2.66 \(\int \frac {-1+x^8}{x^4 \sqrt [4]{1+x^4+x^8}} \, dx\)
  3.2.67 \(\int \frac {1+x^2}{(-1+x^2) \sqrt {-x+x^3}} \, dx\)
  3.2.68 \(\int \frac {1}{(1+x^2) \sqrt [3]{x+x^3}} \, dx\)
  3.2.69 \(\int \frac {1}{x \sqrt [3]{-x^2+x^3}} \, dx\)
  3.2.70 \(\int \frac {x^2}{\sqrt {-b+a x^3}} \, dx\)
  3.2.71 \(\int x^2 \sqrt {-b+a x^3} \, dx\)
  3.2.72 \(\int \frac {\sqrt {-b+a x^3} (2 b+a x^3)}{x^4} \, dx\)
  3.2.73 \(\int \frac {1}{x^2 \sqrt [4]{-x^2+x^4}} \, dx\)
  3.2.74 \(\int \frac {\sqrt [4]{-x^2+x^4}}{x^4} \, dx\)
  3.2.75 \(\int \frac {(1+x^2) \sqrt [3]{-x^2+x^4}}{x^3} \, dx\)
  3.2.76 \(\int \frac {1}{x \sqrt [4]{-x^3+x^4}} \, dx\)
  3.2.77 \(\int \frac {(-1+x) \sqrt [4]{-x^3+x^4}}{x^4} \, dx\)
  3.2.78 \(\int \frac {\sqrt [4]{-x^3+x^4}}{x^3} \, dx\)
  3.2.79 \(\int x (1+2 x^2) \sqrt {-1+2 x^2+2 x^4} \, dx\)
  3.2.80 \(\int \frac {(1+2 x^3) \sqrt [3]{-x^2+x^5}}{x^3} \, dx\)
  3.2.81 \(\int \frac {-1+x^4}{x^2 \sqrt [4]{-x^3+x^5}} \, dx\)
  3.2.82 \(\int \frac {(-1+x^4) \sqrt [4]{-x^3+x^5}}{x^4} \, dx\)
  3.2.83 \(\int \frac {-1-2 x^2+2 x^4}{x^2 (1+x^2) \sqrt {1+x^6}} \, dx\)
  3.2.84 \(\int \frac {1}{x^3 \sqrt [3]{-x^2+x^6}} \, dx\)
  3.2.85 \(\int \frac {1+x^4}{x^2 \sqrt [4]{-x^2+x^6}} \, dx\)
  3.2.86 \(\int \frac {(1+x^4) \sqrt [4]{-x^2+x^6}}{x^4} \, dx\)
  3.2.87 \(\int \frac {-1+x^8}{x^4 \sqrt [4]{-x^2+x^6}} \, dx\)
  3.2.88 \(\int \frac {1+x^8}{\sqrt [4]{1-x^8} (-1+x^8)} \, dx\)
  3.2.89 \(\int \frac {1}{\sqrt {-x^2+x^8}} \, dx\)
  3.2.90 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{1+x^2} \, dx\)
  3.2.91 \(\int \frac {-1+x}{(2+x) \sqrt {-1+x^3}} \, dx\)
  3.2.92 \(\int \frac {-2-2 x+x^2}{(2+x^2) \sqrt {-1+x^3}} \, dx\)
  3.2.93 \(\int \frac {-2-2 x+x^2}{(2 x+x^2) \sqrt {-1+x^3}} \, dx\)
  3.2.94 \(\int \frac {-1+2 x+2 x^2}{(-1+x) x \sqrt {-x+x^4}} \, dx\)
  3.2.95 \(\int \frac {-1+2 x+2 x^2}{(1+2 x^2) \sqrt {-x+x^4}} \, dx\)
  3.2.96 \(\int \frac {-1-2 x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\)
  3.2.97 \(\int \frac {-1-2 x+2 x^2}{(1-x+x^2) \sqrt {x+x^4}} \, dx\)
  3.2.98 \(\int \frac {1}{(1+x) \sqrt [4]{x^3+x^4}} \, dx\)
  3.2.99 \(\int \frac {1+2 x^4}{(-1+2 x^4) \sqrt {-1-x^2+2 x^4}} \, dx\)
  3.2.100 \(\int \frac {-1+2 x^4}{(1+2 x^2+2 x^4) \sqrt {1+3 x^2+2 x^4}} \, dx\)