What is laplacetransform sin(6t) ?

The answer to laplacetransform sin(6t) is 6/(s^2+36)

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laplacetransform sin(6t)

laplace transform

sin (6 t)

\frac{6}{s ^{2} + 36}

Solution steps

L {sin (6 t)}

Use Laplace Transform table:

L {sin (a t)} = \frac{a}{s ^{2} + a ^{2}}

L {sin (6 t)} = \frac{6}{s ^{2} + 6 ^{2}}

= \frac{6}{s ^{2} + 6 ^{2}}

= \frac{6}{s ^{2} + 36}

f (x) = cos (7 x)

\frac{x ^{2}}{5 ( 1 - x )}

\frac{d}{d x} (cos (x t))

x \to 0.5 lim (f (x))

\int_{1}^{5} \frac{2}{x ^{3}} d x

What is laplacetransform sin(6t) ?
The answer to laplacetransform sin(6t) is 6/(s^2+36)