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