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