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