What is laplacetransform 5t^3 ?

The answer to laplacetransform 5t^3 is (30)/(s^4)

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laplacetransform 5t^3

laplace transform

5 t^{3}

\frac{30}{s ^{4}}

Solution steps

L {5 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)}

= 5 L {t^{3}}

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

= 5 \cdot \frac{6}{s ^{4}}

Refine

5 \frac{6}{s ^{4}} : \frac{30}{s ^{4}}

= \frac{30}{s ^{4}}

f (t) = 6 cos (2 t)

\frac{d}{d x} (256 cos (2 x))

\int \frac{1}{4} x^{2} - \frac{1}{2} ln (x) d x

\int (sin^{3} (e^{x})) (cos (e^{x})) e^{x} d x

What is laplacetransform 5t^3 ?
The answer to laplacetransform 5t^3 is (30)/(s^4)