Use integration by parts: and
To get:
Now apply parts again to the integral in red using: and
To get:
So we really have:
Now solve for .
let I = integral e^(ax) sin (bx) dx
use integration by parts to show that
I = e^(ax) * (a sin (bx) - b cos (bx)) / (a^2 + b^2) + C
i have tried every possible combination of two integration by parts and have not gotten the answer provided
can someone show me a detailed solution
help would be greatly appreciated