What is laplacetransform 3t^3 ?

The answer to laplacetransform 3t^3 is (18)/(s^4)

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laplacetransform 3t^3

laplace transform

3 t^{3}

\frac{18}{s ^{4}}

Solution steps

L {3 t^{3}}

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 {t^{3}}

L {t^{3}} : \frac{6}{s ^{4}}

= 3 \cdot \frac{6}{s ^{4}}

Refine

3 \frac{6}{s ^{4}} : \frac{18}{s ^{4}}

= \frac{18}{s ^{4}}

\int \frac{1}{a ^{2} + u ^{2}} d u

(9, 1), (- 1, 1)

\int - \frac{2}{x ^{3}} d x

\int 4 - x d x

\frac{d}{d x} (\frac{8}{x ^{2} + 1})

What is laplacetransform 3t^3 ?
The answer to laplacetransform 3t^3 is (18)/(s^4)