Transcription of MIT Integration Bee Qualifying Exam 23 January 2018
1 MIT Integration Bee Qualifying Exam23 January 20181 exex+ 2dx2 x 3 x 4 x 5 x dx3 2018 0|sin(2018x)|dx4 dxtanx+ cotx5 x52 +x12dx6 (cosxcoshx+ sinxsinhx)dx7 ex+ cosxex+ sinxdx8 sin(cos(sinx)) sin(sinx) cosx dx9 dx1 + sin(x)10 cosx1 cos(2x)dx11 ex(1/x+ logx)dx12 tanh2(x)dx13 2017x2016+ 2018x20171 +x4034+ 2x4035+x4036dx14 sin(2x) sin2xcos(2x) cos2xdx15 dxx2525 x1625+x92516 /20cos(x)2 cos2 (x)dx17 dx(1 +x2)3/218 dx x x x219 x 1x+x2logxdx20 csc(x) sec(x)dx