What is laplacetransform cos(pit) ?

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

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laplacetransform cos(pit)

laplace transform

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}}

f^{^{''}} (x) = x^{\frac{- 3}{2}}, f^{^{'}} (4) = 2, f (0) = 0

\frac{\partial}{\partial x} (cos (x^{6} - 7 y))

\int_{0}^{1} \frac{7}{x ( 1 + x )} d x

\frac{\partial}{\partial y} (x)

x \to 0 lim ((x^{2}) cos (\frac{8}{x}))

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