What is laplacetransform f(t)=cos(pit) ?

The answer to laplacetransform f(t)=cos(pit) is s/(s^2+pi^2)

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laplacetransform f(t)=cos(pit)

laplace transform

f (t) = cos (π t)

\frac{s}{s ^{2} + π ^{2}}

Solution steps

L {cos (π t)}

Use Laplace Transform table:

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

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

= \frac{s}{s ^{2} + π ^{2}}

x \to 4 lim (2)

\int_{- 3}^{3} \frac{x}{1 + ∣ x ∣} d x

\int \frac{sin ( 2 x )}{x} d x

- \frac{2}{x ^{3}} + \frac{3}{x ^{2}} - 4 x

x \to 0 lim (\frac{( cos ( 4 x ) - cos ( 6 x ) )}{cos ( 2 x ) sin ^{2} ( 5 x )})

What is laplacetransform f(t)=cos(pit) ?
The answer to laplacetransform f(t)=cos(pit) is s/(s^2+pi^2)