3.1 Integrals 1 to 100

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