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