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