hi..

im struggling to get the right answer by integrating this function here by parts:

integral[2e^(-1/2t)*sin(3t)dt]

the answer seems to be -(24/37)e^(-t/2)*cos(3t)-(4/37)e^(-1/2t)*sin(3t)+c

id appreciate all the steps with it since i want to see where ive gone wrong

thanks