Determine the following definite integral
\int_0^(\infty ) e^((1-s)t)sin(3t)dt
Hint: The answer can be found using the "TABLE. " If you find yourself having to compute this integral by hand, skip it and come back to it only if enough time. (A)
(-3)/(s^(2)+2s+10)
(C)
(s-1)/((s-1)^(2)+9)
(B)
e^(-s)*(3)/(s^(2)+9)
(D)
(3)/(s^(2)-2s+10)

Question

Determine the following definite integral

\int_0^(\infty ) e^((1-s)t)sin(3t)dt

Hint: The answer can be found using the "TABLE. " If you find yourself having to compute this integral by hand, skip it and come back to it only if enough time. (A)

(-3)/(s^(2)+2s+10)

(C)

(s-1)/((s-1)^(2)+9)

(B)

e^(-s)*(3)/(s^(2)+9)

(D)

(3)/(s^(2)-2s+10)

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