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