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