3.1 Integrals 1 to 100

\(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [1]
\(\int \cos (x) \sin ^3(2 x) \, dx\) [2]
\(\int \sqrt [3]{-1+x} (1+x)^2 \, dx\) [3]
\(\int x \log (1+\genfrac {}{}{}{}{1}{x}) \, dx\) [4]
\(\int \sin ^2(\log (x)) \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{1+3 e^x} \, dx\) [6]
\(\int \csc ^3(x) \sec ^5(x) \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^4}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{1}{x (1+x^5)} \, dx\) [9]
\(\int \sqrt {\tan (x)} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\log (1+x)}{1+x^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{-\sqrt [3]{x}+\sqrt {x}} \, dx\) [12]
\(\int x^x (1+\log (x)) \, dx\) [13]
\(\int x^{13/2} \sqrt {1+x^{5/2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{1}{(1+x^2)^2} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{36-13 x^2+x^4} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\log (\log (x))}{x} \, dx\) [17]
\(\int \genfrac {}{}{}{}{1+\cot (x)}{1-\cot (x)} \, dx\) [18]
\(\int \genfrac {}{}{}{}{\cos (x)+x \sin (x)}{x (x+\cos (x))} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1}{\sec (x)+\sin (x)} \, dx\) [20]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+e^x+e^{2 x}}} \, dx\) [21]
\(\int e^{x^2} x^3 \, dx\) [22]
\(\int (-\genfrac {}{}{}{}{1}{\log ^2(x)}+\genfrac {}{}{}{}{1}{\log (x)}) \, dx\) [23]
\(\int \sqrt {2-x} \sqrt {-1+x} \, dx\) [24]
\(\int \genfrac {}{}{}{}{-1+x^6}{-1-x+x^3+x^4} \, dx\) [25]
\(\int (2 \log (x)+\log ^2(x)) \, dx\) [26]
\(\int \genfrac {}{}{}{}{2 x}{\sqrt {1-x^4}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1+x^2}{1+x} \, dx\) [28]
\(\int \genfrac {}{}{}{}{-2-2 \sin (x)+\sin ^2(x)+\sin ^3(x)}{1+2 \sin (x)+\sin ^2(x)} \, dx\) [29]
\(\int \text {csch}^2(x) \, dx\) [30]
\(\int \sec ^4(x) \tan ^2(x) \, dx\) [31]
\(\int \sqrt {\csc (x)-\sin (x)} \, dx\) [32]
\(\int \cos ^6(x) \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{1+2 x^2+x^4} \, dx\) [34]
\(\int \cos (\log (x)) \, dx\) [35]
\(\int \sec (x) \, dx\) [36]
\(\int \genfrac {}{}{}{}{1}{9 \cos ^2(x)+4 \sin ^2(x)} \, dx\) [37]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+x^4)^{3/4}} \, dx\) [38]
\(\int \cos (x) \cos (3 x) \cos (5 x) \, dx\) [39]
\(\int (\genfrac {}{}{}{}{1}{\log (x)}+\log (\log (x))) \, dx\) [40]
\(\int \genfrac {}{}{}{}{1}{2+e^x} \, dx\) [41]
\(\int \sqrt {\genfrac {}{}{}{}{x}{1-x^3}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{4 x}{1-x^4} \, dx\) [43]
\(\int x^x (1+\log (x)) \, dx\) [44]
\(\int \sqrt {6 x-x^2} \, dx\) [45]
\(\int \sin ^{99}(x) \sin (101 x) \, dx\) [46]
\(\int e^{e^{x^2}} x \, dx\) [47]
\(\int \genfrac {}{}{}{}{-1+3 x-3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\) [48]
\(\int \sqrt {\genfrac {}{}{}{}{1-x}{1+x}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{1}{-1+\sqrt {x}} \, dx\) [50]
\(\int \sqrt [4]{x} \log (x) \, dx\) [51]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt {x}) \sqrt {x-x^2}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt [4]{x})^{10} \sqrt {x}} \, dx\) [53]
\(\int \sqrt {1-x^2} \, dx\) [54]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-4 x-x^2}} \, dx\) [55]
\(\int \log (\genfrac {}{}{}{}{1}{x}) \, dx\) [56]
\(\int \genfrac {}{}{}{}{1}{1+\sin (x)} \, dx\) [57]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {2012-x}+\sqrt {x}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{-1+x}{(1+x) \sqrt {x+x^2+x^3}} \, dx\) [59]
\(\int \genfrac {}{}{}{}{1+4 x+6 x^2+4 x^3+x^4}{-1+3 x-3 x^2+x^3} \, dx\) [60]
\(\int (\cos (x) \log (x)+\genfrac {}{}{}{}{\sin (x)}{x}) \, dx\) [61]
\(\int \genfrac {}{}{}{}{1}{-x+x^3} \, dx\) [62]
\(\int \genfrac {}{}{}{}{x \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [63]
\(\int (1-x)^{99} x \, dx\) [64]
\(\int \csc (x) \sin (4 x) \, dx\) [65]
\(\int \genfrac {}{}{}{}{1}{(1+\sqrt [3]{x}) \sqrt {x}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+2 x^2}} \, dx\) [67]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+e^x}} \, dx\) [68]
\(\int \genfrac {}{}{}{}{x}{4+x^4} \, dx\) [69]
\(\int \genfrac {}{}{}{}{2}{(\cos (x)-\sin (x))^2} \, dx\) [70]
\(\int x \coth (x) \text {csch}(x) \, dx\) [71]
\(\int x^5 \sqrt {1+x^3} \, dx\) [72]
\(\int \genfrac {}{}{}{}{-1+x^7}{\log (x)} \, dx\) [73]
\(\int \sqrt {\csc (x)-\sin (x)} \, dx\) [74]
\(\int (-2 \log (2 x)+\log (x^2)) \, dx\) [75]
\(\int e^x \, dx\) [76]
\(\int \genfrac {}{}{}{}{\cos (x) \log (x)-\genfrac {}{}{}{}{\sin (x)}{x}}{\log ^2(x)} \, dx\) [77]
\(\int (-1+3 x-3 x^2+x^3) \, dx\) [78]
\(\int \sqrt {12-3 x^2} \, dx\) [79]
\(\int ((-3+x)^7+x-\sin (3-x)) \, dx\) [80]
\(\int \sin (x) \sqrt {1+\tan ^2(x)} \, dx\) [81]
\(\int \genfrac {}{}{}{}{-1+x^2-x^3+x^5}{-1+x-x^3+x^4} \, dx\) [82]
\(\int \log (x) \, dx\) [83]
\(\int \genfrac {}{}{}{}{1}{1-e^{-x}} \, dx\) [84]
\(\int \cos ^2(x) \sin ^2(x) \, dx\) [85]
\(\int \genfrac {}{}{}{}{\pi \sin (\pi \sqrt {x})}{\sqrt {x}} \, dx\) [86]
\(\int \tan ^2(x) \, dx\) [87]
\(\int e^{\sqrt [4]{x}} \, dx\) [88]
\(\int \cos (x) \cot (x) \, dx\) [89]
\(\int (2 \log (x)+\log ^2(x)) \, dx\) [90]
\(\int \genfrac {}{}{}{}{x^3}{1+x^2} \, dx\) [91]
\(\int \genfrac {}{}{}{}{1}{2-2 x+x^2} \, dx\) [92]
\(\int \log (\sin (x)) \sin (x) \, dx\) [93]
\(\int \genfrac {}{}{}{}{x}{1-x^4} \, dx\) [94]
\(\int \sqrt {12-3 x^2} \, dx\) [95]
\(\int \sec ^5(x) \tan ^3(x) \, dx\) [96]
\(\int \genfrac {}{}{}{}{1}{1-\sin (x)} \, dx\) [97]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-2+x^2}} \, dx\) [98]
\(\int \log (x^2) \, dx\) [99]
\(\int \sin (\sqrt [3]{x}) \, dx\) [100]