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