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{1}{484 - x ^{2}} d x

\frac{d}{d x} (I n^{2} x)

n = 1 \sum \infty \frac{e ^{2 n}}{n}

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

f (x) = x^{8}

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