What is laplacetransform 4t^3 ?

The answer to laplacetransform 4t^3 is (24)/(s^4)

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laplacetransform 4t^3

laplace transform

4 t^{3}

\frac{24}{s ^{4}}

Solution steps

L {4 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)}

= 4 L {t^{3}}

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

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

Refine

4 \frac{6}{s ^{4}} : \frac{24}{s ^{4}}

= \frac{24}{s ^{4}}

\int (- 24 x^{5} - 10 x) d x

\frac{d}{d x} (ln (20 x))

\frac{x}{( 4 x - 3 ) ^{8}}

\int_{0}^{4} 2 x - x^{2} d x

f (x) = 5 e^{n} (6 - ln (n))

What is laplacetransform 4t^3 ?
The answer to laplacetransform 4t^3 is (24)/(s^4)