3.1 Integrals 1 to 100

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