What is laplacetransform-3cos(t) ?

The answer to laplacetransform-3cos(t) is -(3s)/(s^2+1)

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laplacetransform-3cos(t)

laplace transform

- 3 cos (t)

- \frac{3 s}{s ^{2} + 1}

Solution steps

L {- 3 cos (t)}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= - 3 L {cos (t)}

L {cos (t)} : \frac{s}{s ^{2} + 1}

= - 3 \cdot \frac{s}{s ^{2} + 1}

Refine

- 3 \frac{s}{s ^{2} + 1} : - \frac{3 s}{s ^{2} + 1}

= - \frac{3 s}{s ^{2} + 1}

\int (\frac{2 x}{x ^{2} + y ^{4}}) d x

\frac{d}{d x} (x^{3} + x)

\int 5 cos^{2} (x) d x

\frac{d}{d x} (- x^{3} + 9 x^{2} - 6 x + 9)

\frac{8}{64 + 64 t ^{2}}

What is laplacetransform-3cos(t) ?
The answer to laplacetransform-3cos(t) is -(3s)/(s^2+1)