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