3.1 Integrals 1 to 100

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