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MIT Integration Bee Qualifying Exam 23 January 2018

MIT Integration Bee Qualifying Exam 23 January 2018

www.mit.edu

11 Z ex(1=x+logx)dx 12 Z tanh2(x)dx 13 Z 2017x2016 +2018x2017 1+x4034 +2x4035 +x4036 dx 14 Z sin(2x) sin2 x cos(2x) cos2 x dx 15 Z dx x25 25 x 16 25 +x 9 25 16 Z ˇ=2 0 cos(x) 2 2cos (x) dx 17 Z dx (1+x 2)3= 18 Z dx p

  Cos 2x, Cos2

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