What is laplacetransform sin(5x) ?

The answer to laplacetransform sin(5x) is 5/(s^2+25)

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laplacetransform sin(5x)

laplace transform

sin (5 x)

\frac{5}{s ^{2} + 25}

Solution steps

L {sin (5 x)}

Use Laplace Transform table:

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

L {sin (5 x)} = \frac{5}{s ^{2} + 5 ^{2}}

= \frac{5}{s ^{2} + 5 ^{2}}

= \frac{5}{s ^{2} + 25}

\int_{1}^{e} ln^{2} (x) d x

x \to 5 lim (\frac{5}{x - 5})

\int \frac{1}{8} x d x

\frac{x}{3 ( x ^{2} + 1 )}

(3, 2), (6, 8)

What is laplacetransform sin(5x) ?
The answer to laplacetransform sin(5x) is 5/(s^2+25)