Question

∫e^(2t)sin(3t)dt

Answer 1

Typically these sorts of functions require integration by parts.

Answer 2

can you answer it step by step

Answer 3

plz

Answer 4

\[
u=\sin(3t)\quad dv=e^{2t}dt
\]

Answer 5

Can you calculate \(du\) and \(v\)?

Answer 6

3sin(3t)

Answer 7

Integration by parts...

let

u = sin3t dv = e^(2t) dt

du = 3cos3t v = e^(2t)/2

Answer 8

*du = 3cos3t dt

Answer 9

ok

Answer 10

Now what is \[
uv-\int vdu
\]