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