3.1 Integrals 1 to 100

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