3.1 Integrals 1 to 100
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {1+x^3}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {1-x^3}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {-1+x^3}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{1}{(3+x) \sqrt {-1-x^3}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{-c^3+d^3 x^3}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{2 c^3+d^3 x^3}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (2 c^3+d^3 x^3)^{2/3}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt [3]{2} x) (1+x^3)^{2/3}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{(1-\sqrt [3]{2} x) (1-x^3)^{2/3}} \, dx\) [22]
\(\int (c+d x)^4 \sqrt [3]{a+b x^3} \, dx\) [23]
\(\int (c+d x)^3 \sqrt [3]{a+b x^3} \, dx\) [24]
\(\int (c+d x)^2 \sqrt [3]{a+b x^3} \, dx\) [25]
\(\int (c+d x) \sqrt [3]{a+b x^3} \, dx\) [26]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^3}}{c+d x} \, dx\) [27]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^3}}{(c+d x)^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{(c+d x)^4}{\sqrt [3]{a+b x^3}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{\sqrt [3]{a+b x^3}} \, dx\) [30]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{\sqrt [3]{a+b x^3}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{c+d x}{\sqrt [3]{a+b x^3}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{1}{(c+d x) \sqrt [3]{a+b x^3}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 \sqrt [3]{a+b x^3}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^3 \sqrt [3]{a+b x^3}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{(c+d x)^4}{(a+b x^3)^{2/3}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b x^3)^{2/3}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b x^3)^{2/3}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{c+d x}{(a+b x^3)^{2/3}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b x^3)^{2/3}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b x^3)^{2/3}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+b x^3)^{2/3}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{2^{2/3}-2 x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{2^{2/3}+2 x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{2^{2/3}+2 x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{2^{2/3}-2 x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{2^{2/3} \sqrt [3]{a}-2 \sqrt [3]{b} x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{2^{2/3} \sqrt [3]{a}+2 \sqrt [3]{b} x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{2^{2/3} \sqrt [3]{a}+2 \sqrt [3]{b} x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{2^{2/3} \sqrt [3]{a}-2 \sqrt [3]{b} x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [50]
\(\int \genfrac {}{}{}{}{c-2 d x}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [51]
\(\int \genfrac {}{}{}{}{2+3 x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{2+3 x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{2+3 x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [54]
\(\int \genfrac {}{}{}{}{2+3 x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [55]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [56]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [57]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [59]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [60]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [61]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [63]
\(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [64]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [65]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [67]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [68]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [69]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [70]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [71]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [72]
\(\int \genfrac {}{}{}{}{x}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [73]
\(\int \genfrac {}{}{}{}{1+x}{(2-x) \sqrt {1+x^3}} \, dx\) [74]
\(\int \genfrac {}{}{}{}{1-x}{(2+x) \sqrt {1-x^3}} \, dx\) [75]
\(\int \genfrac {}{}{}{}{1-x}{(2+x) \sqrt {-1+x^3}} \, dx\) [76]
\(\int \genfrac {}{}{}{}{1+x}{(2-x) \sqrt {-1-x^3}} \, dx\) [77]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}+\sqrt [3]{b} x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [78]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}-\sqrt [3]{b} x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [79]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}-\sqrt [3]{b} x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [80]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}+\sqrt [3]{b} x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [81]
\(\int \genfrac {}{}{}{}{c-2 d x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [82]
\(\int \genfrac {}{}{}{}{e+f x}{(2-x) \sqrt {1+x^3}} \, dx\) [83]
\(\int \genfrac {}{}{}{}{e+f x}{(2+x) \sqrt {1-x^3}} \, dx\) [84]
\(\int \genfrac {}{}{}{}{e+f x}{(2+x) \sqrt {-1+x^3}} \, dx\) [85]
\(\int \genfrac {}{}{}{}{e+f x}{(2-x) \sqrt {-1-x^3}} \, dx\) [86]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [87]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [88]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [89]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [90]
\(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [91]
\(\int \genfrac {}{}{}{}{x}{(2-x) \sqrt {1+x^3}} \, dx\) [92]
\(\int \genfrac {}{}{}{}{x}{(2+x) \sqrt {1-x^3}} \, dx\) [93]
\(\int \genfrac {}{}{}{}{x}{(2+x) \sqrt {-1+x^3}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{x}{(2-x) \sqrt {-1-x^3}} \, dx\) [95]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [96]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [97]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [98]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [99]
\(\int \genfrac {}{}{}{}{x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [100]