Y = ∫e^(−t) . sin^2(t) . 1/ t with laplace

I'm guessing your supposed to compute the value of the integral

by way of Laplace transform.

The integral is equivalent to the transform of when , since

Recall the frequency-domain integration property of the transform:

where is the Laplace transform of .

Let ; then

Next, it follows that

Get the value of by substituting :

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,