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