3.1 Integrals 1 to 100

  3.1.1 \(\int \genfrac {}{}{}{}{x}{(-1+x^2)^{3/4}} \, dx\) [1]
  3.1.2 \(\int \genfrac {}{}{}{}{1+3 x^2}{\sqrt {-1+x+x^3}} \, dx\) [2]
  3.1.3 \(\int \genfrac {}{}{}{}{-1+x^8}{\sqrt {-1+x^4} (1-2 x^4+x^8)} \, dx\) [3]
  3.1.4 \(\int \genfrac {}{}{}{}{x}{\sqrt [3]{-1+x^2}} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{x}{\sqrt [4]{-1+x^2}} \, dx\) [5]
  3.1.6 \(\int x \sqrt [4]{-1+x^2} \, dx\) [6]
  3.1.7 \(\int x \sqrt [3]{-1+x^2} \, dx\) [7]
  3.1.8 \(\int x (-1+x^2)^{2/3} \, dx\) [8]
  3.1.9 \(\int x (-1+x^2)^{3/4} \, dx\) [9]
  3.1.10 \(\int \genfrac {}{}{}{}{x}{\sqrt [3]{1+x^2}} \, dx\) [10]
  3.1.11 \(\int \genfrac {}{}{}{}{x}{\sqrt [4]{1+x^2}} \, dx\) [11]
  3.1.12 \(\int x \sqrt [4]{1+x^2} \, dx\) [12]
  3.1.13 \(\int x \sqrt [3]{1+x^2} \, dx\) [13]
  3.1.14 \(\int x (1+x^2)^{3/4} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{x^2}{\sqrt [4]{-1+x^3}} \, dx\) [15]
  3.1.16 \(\int x^2 \sqrt [4]{-1+x^3} \, dx\) [16]
  3.1.17 \(\int x^2 (-1+x^3)^{3/4} \, dx\) [17]
  3.1.18 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^3}} \, dx\) [18]
  3.1.19 \(\int \genfrac {}{}{}{}{x^2}{\sqrt [4]{1+x^3}} \, dx\) [19]
  3.1.20 \(\int x^2 \sqrt [4]{1+x^3} \, dx\) [20]
  3.1.21 \(\int x^2 \sqrt [3]{1+x^3} \, dx\) [21]
  3.1.22 \(\int x^2 \sqrt {1+x^3} \, dx\) [22]
  3.1.23 \(\int x^2 (1+x^3)^{2/3} \, dx\) [23]
  3.1.24 \(\int x^2 (1+x^3)^{3/4} \, dx\) [24]
  3.1.25 \(\int (1+3 x^2) \sqrt [3]{x+x^3} \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{1}{x^2 (-1+x^4)^{3/4}} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{-1+x^4}} \, dx\) [27]
  3.1.28 \(\int x^3 \sqrt [3]{-1+x^4} \, dx\) [28]
  3.1.29 \(\int x^3 (-1+x^4)^{2/3} \, dx\) [29]
  3.1.30 \(\int x^3 (-1+x^4)^{3/4} \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt {1+x^4}} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{1+x^4}} \, dx\) [32]
  3.1.33 \(\int x^3 \sqrt [4]{1+x^4} \, dx\) [33]
  3.1.34 \(\int x^3 \sqrt [3]{1+x^4} \, dx\) [34]
  3.1.35 \(\int x^3 (1+x^4)^{2/3} \, dx\) [35]
  3.1.36 \(\int x^4 (-1+x^5)^{2/3} \, dx\) [36]
  3.1.37 \(\int x^4 (1+x^5)^{2/3} \, dx\) [37]
  3.1.38 \(\int \genfrac {}{}{}{}{x^5}{\sqrt [3]{-1+x^6}} \, dx\) [38]
  3.1.39 \(\int x^5 \sqrt [4]{-1+x^6} \, dx\) [39]
  3.1.40 \(\int x^5 \sqrt [3]{-1+x^6} \, dx\) [40]
  3.1.41 \(\int x^5 \sqrt {-1+x^6} \, dx\) [41]
  3.1.42 \(\int x^5 (-1+x^6)^{3/4} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{-2+x^6}{x^3 \sqrt {1+x^6}} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{x^5}{\sqrt [3]{1+x^6}} \, dx\) [44]
  3.1.45 \(\int x^5 \sqrt [4]{1+x^6} \, dx\) [45]
  3.1.46 \(\int x^5 \sqrt [3]{1+x^6} \, dx\) [46]
  3.1.47 \(\int \genfrac {}{}{}{}{-4+x^3}{x^2 (-1+x^3)^{3/4}} \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^3}} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{4+x^3}{x^2 (1+x^3)^{3/4}} \, dx\) [49]
  3.1.50 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt [3]{x+x^3}}{1+x^2} \, dx\) [50]
  3.1.51 \(\int \genfrac {}{}{}{}{-2+x}{(-1+x) \sqrt [4]{-x^2+x^3}} \, dx\) [51]
  3.1.52 \(\int \genfrac {}{}{}{}{2+x}{(1+x) \sqrt [4]{x^2+x^3}} \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{1}{x^2 (1+x^4)^{3/4}} \, dx\) [53]
  3.1.54 \(\int \genfrac {}{}{}{}{3+x^4}{x^4 \sqrt {1+x^4}} \, dx\) [54]
  3.1.55 \(\int \genfrac {}{}{}{}{-1+4 x^3}{\sqrt {-1-2 x+2 x^4}} \, dx\) [55]
  3.1.56 \(\int \genfrac {}{}{}{}{-4+x^5}{x^2 (1+x^5)^{3/4}} \, dx\) [56]
  3.1.57 \(\int \genfrac {}{}{}{}{4+x^5}{x^2 (-1+x^5)^{3/4}} \, dx\) [57]
  3.1.58 \(\int \genfrac {}{}{}{}{2+5 x^3}{\sqrt {1+x^3} (1+x^2+x^5)} \, dx\) [58]
  3.1.59 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^6}} \, dx\) [59]
  3.1.60 \(\int \genfrac {}{}{}{}{-2+x^6}{x^2 (1+x^6)^{3/4}} \, dx\) [60]
  3.1.61 \(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^6}} \, dx\) [61]
  3.1.62 \(\int \genfrac {}{}{}{}{2+x^6}{x^2 (-1+x^6)^{3/4}} \, dx\) [62]
  3.1.63 \(\int \genfrac {}{}{}{}{-1+2 x^6}{\sqrt {1+x^6} (1-x^2+x^6)} \, dx\) [63]
  3.1.64 \(\int \genfrac {}{}{}{}{1+2 x^6}{\sqrt {-1+x^6} (-1+x^2+x^6)} \, dx\) [64]
  3.1.65 \(\int \genfrac {}{}{}{}{-1+3 x^2}{\sqrt [3]{-x+x^3}} \, dx\) [65]
  3.1.66 \(\int (-1+3 x^2) \sqrt [3]{-x+x^3} \, dx\) [66]
  3.1.67 \(\int \genfrac {}{}{}{}{2+x-x^3}{\sqrt {1+x+x^3} (1+x-x^2+x^3)} \, dx\) [67]
  3.1.68 \(\int \genfrac {}{}{}{}{1+x^4}{(1-x^4) \sqrt {-1+x^2+x^4}} \, dx\) [68]
  3.1.69 \(\int \genfrac {}{}{}{}{-4+x^3}{x^4 \sqrt [4]{-1+x^3}} \, dx\) [69]
  3.1.70 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3}}{x^5} \, dx\) [70]
  3.1.71 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3}}{x^6} \, dx\) [71]
  3.1.72 \(\int \genfrac {}{}{}{}{\sqrt [3]{1+x^3}}{x^5} \, dx\) [72]
  3.1.73 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3}}{x^6} \, dx\) [73]
  3.1.74 \(\int \genfrac {}{}{}{}{(-2+x^3) (1+x^3)^{3/2}}{x^6} \, dx\) [74]
  3.1.75 \(\int \genfrac {}{}{}{}{4+x^3}{x^4 \sqrt [4]{1+x^3}} \, dx\) [75]
  3.1.76 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{x+x^3}} \, dx\) [76]
  3.1.77 \(\int \genfrac {}{}{}{}{(1+x^2) (3+x^2)}{x^6 \sqrt [4]{x+x^3}} \, dx\) [77]
  3.1.78 \(\int \genfrac {}{}{}{}{\sqrt [3]{x+x^3}}{x^4} \, dx\) [78]
  3.1.79 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{-1+x^4}} \, dx\) [79]
  3.1.80 \(\int \genfrac {}{}{}{}{(-1+x^4)^{3/4}}{x^8} \, dx\) [80]
  3.1.81 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt {x+x^3}} \, dx\) [81]
  3.1.82 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{1+x^4}} \, dx\) [82]
  3.1.83 \(\int \genfrac {}{}{}{}{(-3+x^4) \sqrt [3]{1+x^4}}{x^5} \, dx\) [83]
  3.1.84 \(\int \genfrac {}{}{}{}{(-1+x^2) (1+x^2) \sqrt {1+x^4}}{x^4} \, dx\) [84]
  3.1.85 \(\int \genfrac {}{}{}{}{(-3+x^4) (1+x^4)^{2/3}}{x^6} \, dx\) [85]
  3.1.86 \(\int \genfrac {}{}{}{}{(1+x^4)^{3/4}}{x^8} \, dx\) [86]
  3.1.87 \(\int \genfrac {}{}{}{}{(-1+x^4)^{2/3} (3+x^4)}{x^6} \, dx\) [87]
  3.1.88 \(\int \genfrac {}{}{}{}{\sqrt [3]{1+x^4} (3+x^4)}{x^9} \, dx\) [88]
  3.1.89 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {x+x^4}} \, dx\) [89]
  3.1.90 \(\int \genfrac {}{}{}{}{1+x^3}{x^6 \sqrt [4]{x+x^4}} \, dx\) [90]
  3.1.91 \(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt [3]{x+x^4}}{(1+x^3)^2} \, dx\) [91]
  3.1.92 \(\int \genfrac {}{}{}{}{\sqrt [4]{x^2+x^4}}{x^2 (1+x^2)} \, dx\) [92]
  3.1.93 \(\int \genfrac {}{}{}{}{(-6+x^5) (-1+x^5)^{2/3}}{x^{11}} \, dx\) [93]
  3.1.94 \(\int \genfrac {}{}{}{}{(-4+x^5) (1+x^5)^{3/4}}{x^8} \, dx\) [94]
  3.1.95 \(\int \genfrac {}{}{}{}{(-1+x^5)^{3/4} (4+x^5)}{x^8} \, dx\) [95]
  3.1.96 \(\int \genfrac {}{}{}{}{(1+x^5)^{2/3} (6+x^5)}{x^{11}} \, dx\) [96]
  3.1.97 \(\int \genfrac {}{}{}{}{(-3+x^4) (1+x^4)}{x^6 \sqrt [4]{x+x^5}} \, dx\) [97]
  3.1.98 \(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt [4]{x^3+x^5}}{x^2 (1+x^2)} \, dx\) [98]
  3.1.99 \(\int \genfrac {}{}{}{}{-2 b+3 a x^5}{\sqrt {b+a x^5} (b+x^2+a x^5)} \, dx\) [99]
  3.1.100 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {-1+x^6}} \, dx\) [100]