What is laplacetransform cos(3x) ?

The answer to laplacetransform cos(3x) is s/(s^2+9)

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laplacetransform cos(3x)

laplace transform

cos (3 x)

\frac{s}{s ^{2} + 9}

Solution steps

L {cos (3 x)}

Use Laplace Transform table:

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

L {cos (3 x)} = \frac{s}{s ^{2} + 3 ^{2}}

= \frac{s}{s ^{2} + 3 ^{2}}

= \frac{s}{s ^{2} + 9}

\frac{d}{d x} (\frac{10}{ln ( x )})

t^{2} \frac{d y}{d t} + y = 0, y (7) = - 4

\int sin (2 t) (cot (2 t) + 1) d t

\frac{d}{d x} (∣ x - 1 ∣^{3})

x \to 0 lim (∣ x - 1 ∣)

What is laplacetransform cos(3x) ?
The answer to laplacetransform cos(3x) is s/(s^2+9)