What is laplacetransform 10t^3 ?

The answer to laplacetransform 10t^3 is (60)/(s^4)

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laplacetransform 10t^3

laplace transform

10 t^{3}

\frac{60}{s ^{4}}

Solution steps

L {10 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)}

= 10 L {t^{3}}

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

= 10 \cdot \frac{6}{s ^{4}}

Refine

10 \frac{6}{s ^{4}} : \frac{60}{s ^{4}}

= \frac{60}{s ^{4}}

f (x) = 2 x^{2} + 7 x, at x = 4

\int (x e^{2 x^{2}}) d x

x \to + 1 + lim (\frac{x ^{2}}{x ^{2} - x})

\frac{d}{d a} (sin (a) + cos (a))

What is laplacetransform 10t^3 ?
The answer to laplacetransform 10t^3 is (60)/(s^4)