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