3.1.1 \(\int (1+x+x^2) \, dx\) [1]
3.1.2 \(\int x^2 (x+2 x^2)^2 \, dx\) [2]
3.1.3 \(\int x (1+2 x+x^2) \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{1}{x} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{(1+x)^3}{(-1+x)^4} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{1}{(-1+x) x (1+x)^2} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{b+a x}{(-p+x) (-q+x)} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{1}{c+b x+a x^2} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{b+a x}{1+x^2} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{1}{3-2 x+x^2} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{1}{(-1+x)^2 (1+x^2)^2} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{x}{(-a+x) (-b+x) (-c+x)} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{x}{(a^2+x^2) (b^2+x^2)} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{x^2}{(a^2+x^2) (b^2+x^2)} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{x}{(-1+x) (1+x^2)} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{x}{1+x^3} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{x^3}{(-1+x)^2 (1+x^3)} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{1}{1+x^4} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{x^2}{1+x^4} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{1}{1+x^2+x^4} \, dx\) [20]
3.1.21 \(\int (a+b x)^p \, dx\) [21]
3.1.22 \(\int x (a+b x)^p \, dx\) [22]
3.1.23 \(\int x^2 (a+b x)^p \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{1}{a+b x} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{x}{a+b x} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{x^2}{a+b x} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{1}{x (a+b x)} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x)} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x)^2} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{1}{c^2+x^2} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{1}{c^2-x^2} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{1}{-1+2 x^3} \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{1}{-2+x^3} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{1}{-b+a x^3} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{1}{-2+x^4} \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{1}{-1+5 x^4} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{1}{7+3 x^4} \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{1}{-1+3 x^2+x^4} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{1}{-1-3 x^2+x^4} \, dx\) [40]
3.1.41 \(\int \genfrac {}{}{}{}{1}{1-3 x^2+x^4} \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{1}{1-4 x^2+x^4} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{1}{1+4 x^2+x^4} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{1}{2+x^2+x^4} \, dx\) [44]
3.1.45 \(\int \genfrac {}{}{}{}{1}{2-x^2+x^4} \, dx\) [45]
3.1.46 \(\int \genfrac {}{}{}{}{1}{-1+x^6} \, dx\) [46]
3.1.47 \(\int \genfrac {}{}{}{}{1}{-2+x^6} \, dx\) [47]
3.1.48 \(\int \genfrac {}{}{}{}{1}{2+x^6} \, dx\) [48]
3.1.49 \(\int \genfrac {}{}{}{}{1}{1+x^8} \, dx\) [49]
3.1.50 \(\int \genfrac {}{}{}{}{1}{-1+x^8} \, dx\) [50]
3.1.51 \(\int \genfrac {}{}{}{}{1}{1-x^4+x^8} \, dx\) [51]
3.1.52 \(\int \genfrac {}{}{}{}{x^7}{1+x^{12}} \, dx\) [52]
3.1.53 \(\int \log (x) \, dx\) [53]
3.1.54 \(\int x \log (x) \, dx\) [54]
3.1.55 \(\int x^2 \log (x) \, dx\) [55]
3.1.56 \(\int x^p \log (x) \, dx\) [56]
3.1.57 \(\int \log ^2(x) \, dx\) [57]
3.1.58 \(\int x^9 \log ^{11}(x) \, dx\) [58]
3.1.59 \(\int \genfrac {}{}{}{}{\log ^2(x)}{x} \, dx\) [59]
3.1.60 \(\int \genfrac {}{}{}{}{1}{\log (x)} \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{1}{\log (1+x)} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{1}{x \log (x)} \, dx\) [62]
3.1.63 \(\int \genfrac {}{}{}{}{1}{x^2 \log ^2(x)} \, dx\) [63]
3.1.64 \(\int \genfrac {}{}{}{}{\log ^p(x)}{x} \, dx\) [64]
3.1.65 \(\int (b+a x) \log (x) \, dx\) [65]
3.1.66 \(\int (b+a x)^2 \log (x) \, dx\) [66]
3.1.67 \(\int \genfrac {}{}{}{}{\log (x)}{(b+a x)^2} \, dx\) [67]
3.1.68 \(\int x \log (b+a x) \, dx\) [68]
3.1.69 \(\int x^2 \log (b+a x) \, dx\) [69]
3.1.70 \(\int \log (a^2+x^2) \, dx\) [70]
3.1.71 \(\int x \log (a^2+x^2) \, dx\) [71]
3.1.72 \(\int x^2 \log (a^2+x^2) \, dx\) [72]
3.1.73 \(\int x^4 \log (a^2+x^2) \, dx\) [73]
3.1.74 \(\int \log (-a^2+x^2) \, dx\) [74]
3.1.75 \(\int \log (\log (\log (\log (x)))) \, dx\) [75]
3.1.76 \(\int \sin (x) \, dx\) [76]
3.1.77 \(\int \cos (x) \, dx\) [77]
3.1.78 \(\int \tan (x) \, dx\) [78]
3.1.79 \(\int \cot (x) \, dx\) [79]
3.1.80 \(\int \genfrac {}{}{}{}{1}{(1+\tan (x))^2} \, dx\) [80]
3.1.81 \(\int \sec (x) \, dx\) [81]
3.1.82 \(\int \csc (x) \, dx\) [82]
3.1.83 \(\int \sin ^2(x) \, dx\) [83]
3.1.84 \(\int x^3 \sin (x^2) \, dx\) [84]
3.1.85 \(\int \sin ^3(x) \, dx\) [85]
3.1.86 \(\int \sin ^p(x) \, dx\) [86]
3.1.87 \(\int \cos (x) (1+\sin ^2(x))^2 \, dx\) [87]
3.1.88 \(\int \cos ^2(x) \, dx\) [88]
3.1.89 \(\int \cos ^3(x) \, dx\) [89]
3.1.90 \(\int \sec ^2(x) \, dx\) [90]
3.1.91 \(\int \sin (x) \sin (2 x) \, dx\) [91]
3.1.92 \(\int x \sin (x) \, dx\) [92]
3.1.93 \(\int x^2 \sin (x) \, dx\) [93]
3.1.94 \(\int x \sin ^2(x) \, dx\) [94]
3.1.95 \(\int x^2 \sin ^2(x) \, dx\) [95]
3.1.96 \(\int x \sin ^3(x) \, dx\) [96]
3.1.97 \(\int x \cos (x) \, dx\) [97]
3.1.98 \(\int x^2 \cos (x) \, dx\) [98]
3.1.99 \(\int x \cos ^2(x) \, dx\) [99]
3.1.100 \(\int x^2 \cos ^2(x) \, dx\) [100]