e sin t dt Solution uSE integration by parts ( sin(t) is the first function) I= sin(t) (- e^(-t)) from 1 to inf - integral ( -cos(t) e^-t) = e^-1 sin(1) + I2 I2= cos(t)(-e^-t) from 1 to inf - integral ( -sin(t) (-e^- t)) = e^-1 cos(1) - I => I= e^-1 (cos1 + sin1) -I => I = e^-1(cos1+ sin1)/2.