What is laplacetransform-6t^2 ?

The answer to laplacetransform-6t^2 is -(12)/(s^3)

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laplacetransform-6t^2

laplace transform

- 6 t^{2}

- \frac{12}{s ^{3}}

Solution steps

L {- 6 t^{2}}

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)}

= - 6 L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= - 6 \cdot \frac{2}{s ^{3}}

Refine

- 6 \frac{2}{s ^{3}} : - \frac{12}{s ^{3}}

= - \frac{12}{s ^{3}}

\int \frac{3}{1 - t ^{2}} d t

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

\frac{d}{d x} (cos (x^{2} + 1))

\int \frac{x}{x ^{2} + 6} d x

\int 10 x^{2} d x

What is laplacetransform-6t^2 ?
The answer to laplacetransform-6t^2 is -(12)/(s^3)