How to find Laplace of tsin(t) ??

Question

anonymous · Answer

@experimentX

anonymous · Answer

Here you come..

anonymous · Answer

Equation Editor is not working for me.. :(

anonymous · Answer

$t \cdot sin(t) $

experimentx · Answer

$$  \int_0^\infty t \sin(t) e^{-st}dt = \lim_{t \to \infty } t \int e^{-st}\sin(t)dt - \int_0^\infty dt \int e^{-st} \sin(t)dt  $$

anonymous · Answer

Are you seeing it??

experimentx · Answer

yes ...

anonymous · Answer

What the hell!!

I am not seeing your latex..

experimentx · Answer

:O

experimentx · Answer

let me post you full worked solution.

anonymous · Answer

Wait wait..

anonymous · Answer

Let me use another browser once..

experimentx · Answer

anonymous · Answer

How you have taken Limit t tends to infinity there??

anonymous · Answer

And on last integral, should we not take limits 0 to infinity there??

experimentx · Answer

I decided not to evaluate that integral ...

experimentx · Answer

|dw:1390146117240:dw|
for 0, since there is zero ...  it goes to zero ... the only term left is infinity ... just take limit infinity for it.