Question

How to find Laplace of tsin(t) ??

Answer 1

@experimentX

Answer 2

Here you come..

Answer 3

Equation Editor is not working for me.. :(

Answer 4

\(t \cdot sin(t) \)

Answer 5

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

Answer 6

Are you seeing it??

Answer 7

yes ...

Answer 8

What the hell!!

I am not seeing your latex..

Answer 9

:O

Answer 10

let me post you full worked solution.

Answer 11

Wait wait..

Answer 12

Let me use another browser once..

Answer 13

http://latex.codecogs.com/gif.latex?%5Cint_0%5E%5Cinfty%20t%20%5Csin%28t%29%20e%5E%7B-st%7Ddt%20%3D%20%5Clim_%7Bt%20%5Cto%20%5Cinfty%20%7D%20t%20%5Cint%20e%5E%7B-st%7D%5Csin%28t%29dt%20-%20%5Cint_0%5E%5Cinfty%20dt%20%5Cint%20e%5E%7B-st%7D%20%5Csin%28t%29dt

Answer 14

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

Answer 15

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

Answer 16

I decided not to evaluate that integral ...

Answer 17

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