\(\int x^7 \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [1]
\(\int x^5 \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [2]
\(\int x^3 \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [3]
\(\int x \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^3} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^5} \, dx\) [7]
\(\int x^2 \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [8]
\(\int \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^4} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^6} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^8} \, dx\) [13]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^{10}} \, dx\) [14]
\(\int (x^2+\sqrt {1+x^4})^{9/2} \, dx\) [15]
\(\int (x^2+\sqrt {1+x^4})^{7/2} \, dx\) [16]
\(\int (x^2+\sqrt {1+x^4})^{3/2} \, dx\) [17]
\(\int \genfrac {}{}{}{}{x^7}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{x}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [24]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [25]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [30]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{1}{x^8 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{1}{x^{10} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{x^{12} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{(x^2+\sqrt {1+x^4})^{3/2}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{(x^2+\sqrt {1+x^4})^{5/2}} \, dx\) [36]
\(\int x^7 (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [37]
\(\int x^5 (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [38]
\(\int x^3 (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [39]
\(\int x (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [40]
\(\int \genfrac {}{}{}{}{(c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p}{x} \, dx\) [41]
\(\int \genfrac {}{}{}{}{(c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p}{x^3} \, dx\) [42]
\(\int \genfrac {}{}{}{}{(c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p}{x^5} \, dx\) [43]
\(\int x^4 (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [44]
\(\int x^2 (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [45]
\(\int (c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p \, dx\) [46]
\(\int \genfrac {}{}{}{}{(c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p}{x^2} \, dx\) [47]
\(\int \genfrac {}{}{}{}{(c x^2+d \sqrt {a+\genfrac {}{}{}{}{c^2 x^4}{d^2}})^p}{x^4} \, dx\) [48]
\(\int \genfrac {}{}{}{}{x^7 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{x^5 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [50]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [51]
\(\int \genfrac {}{}{}{}{x \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x \sqrt {1+x^4}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^3 \sqrt {1+x^4}} \, dx\) [54]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^5 \sqrt {1+x^4}} \, dx\) [55]
\(\int \genfrac {}{}{}{}{x^4 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [56]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [57]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^2 \sqrt {1+x^4}} \, dx\) [59]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^4 \sqrt {1+x^4}} \, dx\) [60]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^6 \sqrt {1+x^4}} \, dx\) [61]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^8 \sqrt {1+x^4}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^{10} \sqrt {1+x^4}} \, dx\) [63]
\(\int \genfrac {}{}{}{}{x^4 (x^2+\sqrt {1+x^4})^{3/2}}{\sqrt {1+x^4}} \, dx\) [64]
\(\int \genfrac {}{}{}{}{x^2 (x^2+\sqrt {1+x^4})^{3/2}}{\sqrt {1+x^4}} \, dx\) [65]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{\sqrt {1+x^4}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^2 \sqrt {1+x^4}} \, dx\) [67]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^4 \sqrt {1+x^4}} \, dx\) [68]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^6 \sqrt {1+x^4}} \, dx\) [69]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^8 \sqrt {1+x^4}} \, dx\) [70]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^{10} \sqrt {1+x^4}} \, dx\) [71]
\(\int \genfrac {}{}{}{}{(x^2+\sqrt {1+x^4})^{3/2}}{x^{12} \sqrt {1+x^4}} \, dx\) [72]
\(\int \genfrac {}{}{}{}{x^7}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [73]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [74]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [75]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [76]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [77]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [78]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [79]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [80]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [81]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [82]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [83]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [84]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [85]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [86]
\(\int \genfrac {}{}{}{}{1}{x^8 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [87]
\(\int \genfrac {}{}{}{}{1}{x^{10} \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [88]
\(\int \genfrac {}{}{}{}{(1+x)^2 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [89]
\(\int \genfrac {}{}{}{}{(1+x) \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [90]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [91]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{(1+x) \sqrt {1+x^4}} \, dx\) [92]
\(\int \genfrac {}{}{}{}{(1+x)^2 \sqrt {-x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [93]
\(\int \genfrac {}{}{}{}{(1+x) \sqrt {-x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{\sqrt {-x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [95]
\(\int \genfrac {}{}{}{}{\sqrt {-x^2+\sqrt {1+x^4}}}{(1+x) \sqrt {1+x^4}} \, dx\) [96]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{(1+x^2) \sqrt {1+x^4}} \, dx\) [97]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{(1-x^2) \sqrt {1+x^4}} \, dx\) [98]