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3.3
Integrals 201 to 300
3.3.1
\(\int \genfrac {}{}{}{}{5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\) [201]
3.3.2
\(\int \genfrac {}{}{}{}{3+2 x}{3 x+x^3} \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{1}{-1+x^3} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{x^3}{1+x^3} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{x^4}{-1+x^4} \, dx\) [206]
3.3.7
\(\int \genfrac {}{}{}{}{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\) [207]
3.3.8
\(\int \genfrac {}{}{}{}{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\) [208]
3.3.9
\(\int \genfrac {}{}{}{}{-3+x}{(4+2 x+x^2)^2} \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{1+x^4}{x (1+x^2)^2} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{1}{-3+2 x+x^2} \, dx\) [213]
3.3.14
\(\int \genfrac {}{}{}{}{1}{-2 x+x^2} \, dx\) [214]
3.3.15
\(\int \genfrac {}{}{}{}{1+2 x}{-7+12 x+4 x^2} \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{x}{-1+x+x^2} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{\sqrt {4+x}}{x} \, dx\) [219]
3.3.20
\(\int \genfrac {}{}{}{}{1}{-\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\sqrt {x}} \, dx\) [220]
3.3.21
\(\int \genfrac {}{}{}{}{1}{-4 \cos (x)+3 \sin (x)} \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{1}{1+\sqrt {x}} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{1}{1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}} \, dx\) [223]
3.3.24
\(\int \genfrac {}{}{}{}{\sqrt {x}}{1+x} \, dx\) [224]
3.3.25
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x}} \, dx\) [225]
3.3.26
\(\int \genfrac {}{}{}{}{1}{-\sqrt [3]{x}+x} \, dx\) [226]
3.3.27
\(\int \genfrac {}{}{}{}{1}{x-\sqrt {2+x}} \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {-1+x}} \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{1+x} \, dx\) [229]
3.3.30
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt {x}}} \, dx\) [230]
3.3.31
\(\int \genfrac {}{}{}{}{\sqrt {x}}{x+x^2} \, dx\) [231]
3.3.32
\(\int \genfrac {}{}{}{}{1+\sqrt {x}}{-1+\sqrt {x}} \, dx\) [232]
3.3.33
\(\int \genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}}{-1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}} \, dx\) [233]
3.3.34
\(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{1+x^2}} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{\sqrt {x}}{-\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\sqrt {x}} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [4]{x}}+\sqrt {x}} \, dx\) [236]
3.3.37
\(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\genfrac {}{}{}{}{1}{\sqrt [4]{x}}} \, dx\) [237]
3.3.38
\(\int \sqrt {\genfrac {}{}{}{}{1-x}{x}} \, dx\) [238]
3.3.39
\(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\) [239]
3.3.40
\(\int \genfrac {}{}{}{}{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\) [240]
3.3.41
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+e^x}} \, dx\) [241]
3.3.42
\(\int \sqrt {1-e^x} \, dx\) [242]
3.3.43
\(\int \genfrac {}{}{}{}{1}{3-5 \sin (x)} \, dx\) [243]
3.3.44
\(\int \genfrac {}{}{}{}{1}{\cos (x)+\sin (x)} \, dx\) [244]
3.3.45
\(\int \genfrac {}{}{}{}{1}{1-\cos (x)+\sin (x)} \, dx\) [245]
3.3.46
\(\int \genfrac {}{}{}{}{1}{4 \cos (x)+3 \sin (x)} \, dx\) [246]
3.3.47
\(\int \genfrac {}{}{}{}{1}{\sin (x)+\tan (x)} \, dx\) [247]
3.3.48
\(\int \genfrac {}{}{}{}{1}{2 \sin (x)+\sin (2 x)} \, dx\) [248]
3.3.49
\(\int \genfrac {}{}{}{}{\sec (x)}{1+\sin (x)} \, dx\) [249]
3.3.50
\(\int \genfrac {}{}{}{}{1}{b \cos (x)+a \sin (x)} \, dx\) [250]
3.3.51
\(\int \genfrac {}{}{}{}{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\) [251]
3.3.52
\(\int \genfrac {}{}{}{}{x}{-1+x^2} \, dx\) [252]
3.3.53
\(\int (1+\sqrt {x}) \sqrt {x} \, dx\) [253]
3.3.54
\(\int \genfrac {}{}{}{}{1}{1-\cos (x)} \, dx\) [254]
3.3.55
\(\int \sec (x) \tan ^2(x) \, dx\) [255]
3.3.56
\(\int \sec ^3(x) \tan ^3(x) \, dx\) [256]
3.3.57
\(\int e^{\sqrt {x}} \, dx\) [257]
3.3.58
\(\int \genfrac {}{}{}{}{1+x^5}{-10 x-3 x^2+x^3} \, dx\) [258]
3.3.59
\(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (x)}} \, dx\) [259]
3.3.60
\(\int \genfrac {}{}{}{}{5+2 x}{-3+x} \, dx\) [260]
3.3.61
\(\int e^{e^x+x} \, dx\) [261]
3.3.62
\(\int \cos ^2(x) \sin ^2(x) \, dx\) [262]
3.3.63
\(\int \genfrac {}{}{}{}{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx\) [263]
3.3.64
\(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^2}} \, dx\) [264]
3.3.65
\(\int x^3 \log (x) \, dx\) [265]
3.3.66
\(\int \genfrac {}{}{}{}{\sqrt {-2+x}}{2+x} \, dx\) [266]
3.3.67
\(\int \genfrac {}{}{}{}{x}{(2+x)^2} \, dx\) [267]
3.3.68
\(\int \log (1+x^2) \, dx\) [268]
3.3.69
\(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x \log (x)} \, dx\) [269]
3.3.70
\(\int (1+\sqrt {x})^8 \, dx\) [270]
3.3.71
\(\int \sec ^4(x) \tan ^3(x) \, dx\) [271]
3.3.72
\(\int \genfrac {}{}{}{}{x}{2-2 x+x^2} \, dx\) [272]
3.3.73
\(\int x \arcsin (x) \, dx\) [273]
3.3.74
\(\int \genfrac {}{}{}{}{\sqrt {9-x^2}}{x} \, dx\) [274]
3.3.75
\(\int \genfrac {}{}{}{}{x}{2+3 x+x^2} \, dx\) [275]
3.3.76
\(\int x^2 \cosh (x) \, dx\) [276]
3.3.77
\(\int \genfrac {}{}{}{}{1+x+x^3}{4 x+2 x^2+x^4} \, dx\) [277]
3.3.78
\(\int \genfrac {}{}{}{}{\cos (x)}{1+\sin ^2(x)} \, dx\) [278]
3.3.79
\(\int \cos (\sqrt {x}) \, dx\) [279]
3.3.80
\(\int \sin (\pi x) \, dx\) [280]
3.3.81
\(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [281]
3.3.82
\(\int e^{3 x} \cos (5 x) \, dx\) [282]
3.3.83
\(\int \cos (3 x) \cos (5 x) \, dx\) [283]
3.3.84
\(\int \genfrac {}{}{}{}{1}{1+x+x^2+x^3} \, dx\) [284]
3.3.85
\(\int x^2 \log (1+x) \, dx\) [285]
3.3.86
\(\int e^{-x^3} x^5 \, dx\) [286]
3.3.87
\(\int \tan ^2(4 x) \, dx\) [287]
3.3.88
\(\int \genfrac {}{}{}{}{1}{\sqrt {-5+12 x+9 x^2}} \, dx\) [288]
3.3.89
\(\int x^2 \arctan (x) \, dx\) [289]
3.3.90
\(\int \genfrac {}{}{}{}{1-\sqrt {x}}{\sqrt [3]{x}} \, dx\) [290]
3.3.91
\(\int \genfrac {}{}{}{}{1}{-e^{-x}+e^x} \, dx\) [291]
3.3.92
\(\int \genfrac {}{}{}{}{x}{10+2 x^2+x^4} \, dx\) [292]
3.3.93
\(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+x} \, dx\) [293]
3.3.94
\(\int \cos ^4(x) \sin ^2(x) \, dx\) [294]
3.3.95
\(\int \genfrac {}{}{}{}{1}{\sqrt {5-4 x-x^2}} \, dx\) [295]
3.3.96
\(\int \genfrac {}{}{}{}{x}{1-x^2+\sqrt {1-x^2}} \, dx\) [296]
3.3.97
\(\int (1+\cos (x)) \csc (x) \, dx\) [297]
3.3.98
\(\int \genfrac {}{}{}{}{e^x}{-1+e^{2 x}} \, dx\) [298]
3.3.99
\(\int \genfrac {}{}{}{}{1}{-8+x^3} \, dx\) [299]
3.3.100
\(\int x^5 \cosh (x) \, dx\) [300]
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