3.1 Integrals 1 to 100

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