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