Use integration by parts to find the integral of exsinxdxSol

Solution

I = e^x sinx dx

I = e^x (sinx) - [ e^x cosx ] dx

I = e^x (sinx) - [ e^x cosx + [ e^x sinx ] dx ]

I = e^x (sinx) - [ e^x cosx] - I

2I = e^x (sinx) - [ e^x cosx]

I = (1/2) [ e^x sinx - e^x cosx ]

answer !!