Question

S2e^(-t/2) sin(3t)dt

S means integral sign.. how do i solve this? please help

Answer 1

use Suv formula by taking u =sin3t and v= exponential term

Answer 2

u will have to appy this formula twice

Answer 3

let me try

Answer 4

there is direct formula for se^axsinbxdx=(e^ax(asinbx-bcosbx)/(a^2+b^2)

Answer 5

so the answer is (-4e^-1/2(1/2sin3t+3sin3t))/37